%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG104+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:57 PM UTC 2026
% Result : Theorem 14.76s 2.82s
% Output : CNFRefutation 14.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 20
% Syntax : Number of formulae : 3718 (2178 unt; 0 def)
% Number of atoms : 6851 (3477 equ)
% Maximal formula atoms : 17 ( 1 avg)
% Number of connectives : 6064 (2931 ~;3047 |; 60 &)
% ( 4 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 1873 ( 0 sgn1858 !; 15 ?;1688 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(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(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCancel) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f21,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,X1) ) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSetEq) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).
fof(f40,axiom,
( sdtasdt0(xc,xu) = xx
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).
fof(f41,axiom,
( sdtasdt0(xc,xv) = xy
& aElement0(xv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1979) ).
fof(f42,axiom,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2010) ).
fof(f43,conjecture,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f44,negated_conjecture,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(flattening,[],[f44]) ).
fof(f47,plain,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,X1) ) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,X1) )
| X0 = X1 ),
inference(ennf_transformation,[],[f47]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ? [X3] :
( aElementOf0(X3,X1)
& ~ aElementOf0(X3,X0) )
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,X1) )
| X0 = X1 ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f53,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(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,[],[f14]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(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,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ~ aElement0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ~ aElement0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ( aElementOf0(sK1(X0,X1),X1)
& ~ aElementOf0(sK1(X0,X1),X0) )
| ( aElementOf0(sK0(X0,X1),X0)
& ~ aElementOf0(sK0(X0,X1),X1) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f51]) ).
fof(f73,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f74,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X5] :
( ( ~ aElementOf0(X5,X1)
| ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) ) )
& ( ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) )
| aElementOf0(X5,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) ) )
& ( ~ aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X5] :
( ( ~ aElementOf0(X5,X1)
| ( sdtasdt0(X0,sK4(X0,X5)) = X5
& aElement0(sK4(X0,X5)) ) )
& ( ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) )
| aElementOf0(X5,X1) ) )
& aSet0(X1) ) )
& ( ( ( aElementOf0(sK2(X0,X1),X1)
| ( sK2(X0,X1) = sdtasdt0(X0,sK3(X0,X1))
& aElement0(sK3(X0,X1)) ) )
& ( ~ aElementOf0(sK2(X0,X1),X1)
| ! [X3] :
( sdtasdt0(X0,X3) != sK2(X0,X1)
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f75]) ).
fof(f77,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f78,plain,
aElement0(xz),
inference(cnf_transformation,[],[f39]) ).
fof(f79,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
fof(f80,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(cnf_transformation,[],[f39]) ).
fof(f81,plain,
xx = sdtasdt0(xc,xu),
inference(cnf_transformation,[],[f40]) ).
fof(f82,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f83,plain,
xy = sdtasdt0(xc,xv),
inference(cnf_transformation,[],[f41]) ).
fof(f84,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f42]) ).
fof(f86,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f45]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK1(X0,X1),X1)
| aElementOf0(sK0(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0)
| aElementOf0(sK0(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK1(X0,X1),X1)
| ~ aElementOf0(sK0(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0)
| ~ aElementOf0(sK0(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f92,plain,
! [X0,X1,X5] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| ~ aElementOf0(X5,X1)
| sdtasdt0(X0,sK4(X0,X5)) = X5 ),
inference(cnf_transformation,[],[f76]) ).
fof(f93,plain,
! [X0,X1,X5] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| ~ aElementOf0(X5,X1)
| aElement0(sK4(X0,X5)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f94,plain,
! [X0,X1,X6,X5] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| sdtasdt0(X0,X6) != X5
| ~ aElement0(X6)
| aElementOf0(X5,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| aSet0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sK2(X0,X1),X1)
| sK2(X0,X1) = sdtasdt0(X0,sK3(X0,X1))
| ~ aSet0(X1)
| slsdtgt0(X0) = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sK2(X0,X1),X1)
| aElement0(sK3(X0,X1))
| ~ aSet0(X1)
| slsdtgt0(X0) = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f98,plain,
! [X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(sK2(X0,X1),X1)
| sdtasdt0(X0,X3) != sK2(X0,X1)
| ~ aElement0(X3)
| ~ aSet0(X1)
| slsdtgt0(X0) = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f104,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f105,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f110,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f111,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f71]) ).
fof(f112,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f113,plain,
! [X0] :
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ),
inference(equality_resolution,[],[f95]) ).
fof(f114,plain,
! [X0,X1,X6] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| ~ aElement0(X6)
| aElementOf0(sdtasdt0(X0,X6),X1) ),
inference(equality_resolution,[],[f94]) ).
fof(f115,plain,
! [X0,X6] :
( ~ aElement0(X0)
| ~ aElement0(X6)
| aElementOf0(sdtasdt0(X0,X6),slsdtgt0(X0)) ),
inference(equality_resolution,[],[f114]) ).
fof(f116,plain,
! [X0,X5] :
( ~ aElement0(X0)
| ~ aElementOf0(X5,slsdtgt0(X0))
| aElement0(sK4(X0,X5)) ),
inference(equality_resolution,[],[f93]) ).
fof(f117,plain,
! [X0,X5] :
( ~ aElement0(X0)
| ~ aElementOf0(X5,slsdtgt0(X0))
| sdtasdt0(X0,sK4(X0,X5)) = X5 ),
inference(equality_resolution,[],[f92]) ).
tcf(c_49,plain,
aElement0(xc),
inference(cnf_transformation,[],[f77]) ).
tcf(c_50,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(cnf_transformation,[],[f80]) ).
tcf(c_51,plain,
aElementOf0(xy,slsdtgt0(xc)),
inference(cnf_transformation,[],[f79]) ).
tcf(c_52,plain,
aElement0(xz),
inference(cnf_transformation,[],[f78]) ).
tcf(c_53,plain,
aElement0(xu),
inference(cnf_transformation,[],[f82]) ).
tcf(c_54,plain,
sdtasdt0(xc,xu) = xx,
inference(cnf_transformation,[],[f81]) ).
tcf(c_55,plain,
aElement0(xv),
inference(cnf_transformation,[],[f84]) ).
tcf(c_56,plain,
sdtasdt0(xc,xv) = xy,
inference(cnf_transformation,[],[f83]) ).
tcf(c_57,plain,
sdtasdt0(xc,sdtpldt0(xu,xv)) = sdtpldt0(xx,xy),
inference(cnf_transformation,[],[f85]) ).
tcf(c_58,negated_conjecture,
sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xz,xx),
inference(cnf_transformation,[],[f86]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0)
| ~ aElementOf0(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK1(X0,X1),X1)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK0(X0,X1),X0)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK1(X0,X1),X1)
| aElementOf0(sK0(X0,X1),X0)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X0) = X2 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(sK2(X0,X2),X2)
| ( sdtasdt0(X0,X1) != sK2(X0,X2) ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( aElement0(sK3(X0,X1))
| aElementOf0(sK2(X0,X1),X1)
| ( slsdtgt0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X0,X1),X1)
| ( slsdtgt0(X0) = X1 )
| ( sdtasdt0(X0,sK3(X0,X1)) = sK2(X0,X1) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_67,plain,
! [X0: $i] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X0,X1),slsdtgt0(X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( aElement0(sK4(X1,X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X1,sK4(X1,X0)) = X0 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_76,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_77,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_82,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_83,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_84,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f112]) ).
tcf(c_1020,plain,
( aElement0(xx)
| ~ aSet0(slsdtgt0(xc)) ),
inference(superposition,[status(thm)],[c_50,c_63]) ).
tcf(c_1021,plain,
( aElement0(xy)
| ~ aSet0(slsdtgt0(xc)) ),
inference(superposition,[status(thm)],[c_51,c_63]) ).
tcf(c_1030,plain,
sdtpldt0(xc,sz00) = xc,
inference(superposition,[status(thm)],[c_49,c_76]) ).
tcf(c_1031,plain,
sdtpldt0(xz,sz00) = xz,
inference(superposition,[status(thm)],[c_52,c_76]) ).
tcf(c_1032,plain,
sdtpldt0(xu,sz00) = xu,
inference(superposition,[status(thm)],[c_53,c_76]) ).
tcf(c_1033,plain,
sdtpldt0(xv,sz00) = xv,
inference(superposition,[status(thm)],[c_55,c_76]) ).
tcf(c_1034,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_84,c_76]) ).
tcf(c_1039,plain,
( aElement0(xx)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_67,c_1020]) ).
tcf(c_1040,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[status(thm)],[c_1039,c_49]) ).
tcf(c_1041,plain,
sdtpldt0(xx,sz00) = xx,
inference(superposition,[status(thm)],[c_1040,c_76]) ).
tcf(c_1046,plain,
( aElement0(xy)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_67,c_1021]) ).
tcf(c_1047,plain,
aElement0(xy),
inference(forward_subsumption_resolution,[status(thm)],[c_1046,c_49]) ).
tcf(c_1048,plain,
sdtpldt0(xy,sz00) = xy,
inference(superposition,[status(thm)],[c_1047,c_76]) ).
tcf(c_1053,plain,
sdtpldt0(sz00,xc) = xc,
inference(superposition,[status(thm)],[c_49,c_77]) ).
tcf(c_1054,plain,
sdtpldt0(sz00,xz) = xz,
inference(superposition,[status(thm)],[c_52,c_77]) ).
tcf(c_1055,plain,
sdtpldt0(sz00,xu) = xu,
inference(superposition,[status(thm)],[c_53,c_77]) ).
tcf(c_1056,plain,
sdtpldt0(sz00,xv) = xv,
inference(superposition,[status(thm)],[c_55,c_77]) ).
tcf(c_1058,plain,
sdtpldt0(sz00,xx) = xx,
inference(superposition,[status(thm)],[c_1040,c_77]) ).
tcf(c_1059,plain,
sdtpldt0(sz00,xy) = xy,
inference(superposition,[status(thm)],[c_1047,c_77]) ).
tcf(c_1064,plain,
sdtasdt0(xc,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_82]) ).
tcf(c_1065,plain,
sdtasdt0(xz,sz00) = sz00,
inference(superposition,[status(thm)],[c_52,c_82]) ).
tcf(c_1066,plain,
sdtasdt0(xu,sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_82]) ).
tcf(c_1067,plain,
sdtasdt0(xv,sz00) = sz00,
inference(superposition,[status(thm)],[c_55,c_82]) ).
tcf(c_1068,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_84,c_82]) ).
tcf(c_1069,plain,
sdtasdt0(xx,sz00) = sz00,
inference(superposition,[status(thm)],[c_1040,c_82]) ).
tcf(c_1070,plain,
sdtasdt0(xy,sz00) = sz00,
inference(superposition,[status(thm)],[c_1047,c_82]) ).
tcf(c_1075,plain,
sdtasdt0(sz00,xc) = sz00,
inference(superposition,[status(thm)],[c_49,c_83]) ).
tcf(c_1076,plain,
sdtasdt0(sz00,xz) = sz00,
inference(superposition,[status(thm)],[c_52,c_83]) ).
tcf(c_1077,plain,
sdtasdt0(sz00,xu) = sz00,
inference(superposition,[status(thm)],[c_53,c_83]) ).
tcf(c_1078,plain,
sdtasdt0(sz00,xv) = sz00,
inference(superposition,[status(thm)],[c_55,c_83]) ).
tcf(c_1080,plain,
sdtasdt0(sz00,xx) = sz00,
inference(superposition,[status(thm)],[c_1040,c_83]) ).
tcf(c_1081,plain,
sdtasdt0(sz00,xy) = sz00,
inference(superposition,[status(thm)],[c_1047,c_83]) ).
tcf(c_1090,plain,
( aElement0(sdtpldt0(xx,xy))
| ~ aElement0(xc)
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_57,c_75]) ).
tcf(c_1091,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_83]) ).
tcf(c_1092,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_82]) ).
tcf(c_1093,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_77]) ).
tcf(c_1094,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_76]) ).
tcf(c_1095,plain,
( aElement0(sdtpldt0(xx,xy))
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1090,c_49]) ).
tcf(c_1141,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_83]) ).
tcf(c_1142,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_82]) ).
tcf(c_1143,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_77]) ).
tcf(c_1144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_76]) ).
tcf(c_1169,plain,
( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ~ aElement0(xc)
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_57,c_68]) ).
tcf(c_1170,plain,
( aElementOf0(sz00,slsdtgt0(sz00))
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_1068,c_68]) ).
tcf(c_1171,plain,
( aElementOf0(sz00,slsdtgt0(xc))
| ~ aElement0(sz00)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_1064,c_68]) ).
tcf(c_1172,plain,
( aElementOf0(sz00,slsdtgt0(xz))
| ~ aElement0(sz00)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_1065,c_68]) ).
tcf(c_1173,plain,
( aElementOf0(sz00,slsdtgt0(xu))
| ~ aElement0(sz00)
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_1066,c_68]) ).
tcf(c_1174,plain,
( aElementOf0(sz00,slsdtgt0(xv))
| ~ aElement0(sz00)
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_1067,c_68]) ).
tcf(c_1175,plain,
( aElementOf0(sz00,slsdtgt0(xx))
| ~ aElement0(sz00)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_1069,c_68]) ).
tcf(c_1176,plain,
( aElementOf0(sz00,slsdtgt0(xy))
| ~ aElement0(sz00)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_1070,c_68]) ).
tcf(c_1179,plain,
aElementOf0(sz00,slsdtgt0(sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1170,c_84]) ).
tcf(c_1180,plain,
aElementOf0(sz00,slsdtgt0(xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_1176,c_84,c_1047]) ).
tcf(c_1181,plain,
aElementOf0(sz00,slsdtgt0(xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_1175,c_84,c_1040]) ).
tcf(c_1182,plain,
aElementOf0(sz00,slsdtgt0(xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_1174,c_84,c_55]) ).
tcf(c_1183,plain,
aElementOf0(sz00,slsdtgt0(xu)),
inference(forward_subsumption_resolution,[status(thm)],[c_1173,c_84,c_53]) ).
tcf(c_1184,plain,
aElementOf0(sz00,slsdtgt0(xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_1172,c_84,c_52]) ).
tcf(c_1185,plain,
aElementOf0(sz00,slsdtgt0(xc)),
inference(forward_subsumption_resolution,[status(thm)],[c_1171,c_84,c_49]) ).
tcf(c_1186,plain,
( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1169,c_49]) ).
tcf(c_1203,plain,
( aElement0(sK4(xc,xx))
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_50,c_69]) ).
tcf(c_1204,plain,
( aElement0(sK4(xc,xy))
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_51,c_69]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i] :
( aElement0(sK4(X0,sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_68,c_69]) ).
tcf(c_1206,plain,
aElement0(sK4(xc,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_1204,c_49]) ).
tcf(c_1207,plain,
aElement0(sK4(xc,xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_1203,c_49]) ).
tcf(c_1220,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xc) = sdtasdt0(xc,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_72]) ).
tcf(c_1221,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xz) = sdtasdt0(xz,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_72]) ).
tcf(c_1222,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xu) = sdtasdt0(xu,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_72]) ).
tcf(c_1223,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xv) = sdtasdt0(xv,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_55,c_72]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X2,sdtasdt0(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_72]) ).
tcf(c_1225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtasdt0(X2,sdtpldt0(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_72]) ).
tcf(c_1226,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_84,c_72]) ).
tcf(c_1227,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xx) = sdtasdt0(xx,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1040,c_72]) ).
tcf(c_1228,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xy) = sdtasdt0(xy,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1047,c_72]) ).
tcf(c_1270,plain,
( aElement0(sK4(sz00,sz00))
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_1179,c_69]) ).
tcf(c_1271,plain,
aElement0(sK4(sz00,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1270,c_84]) ).
tcf(c_1273,plain,
( aElement0(sK4(xy,sz00))
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_1180,c_69]) ).
tcf(c_1274,plain,
aElement0(sK4(xy,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1273,c_1047]) ).
tcf(c_1276,plain,
( aElement0(sK4(xx,sz00))
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_1181,c_69]) ).
tcf(c_1277,plain,
aElement0(sK4(xx,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1276,c_1040]) ).
tcf(c_1285,plain,
( aElement0(sK4(xv,sz00))
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_1182,c_69]) ).
tcf(c_1286,plain,
aElement0(sK4(xv,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1285,c_55]) ).
tcf(c_1288,plain,
( aElement0(sK4(xu,sz00))
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_1183,c_69]) ).
tcf(c_1289,plain,
aElement0(sK4(xu,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1288,c_53]) ).
tcf(c_1291,plain,
( aElement0(sK4(xz,sz00))
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_1184,c_69]) ).
tcf(c_1292,plain,
aElement0(sK4(xz,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1291,c_52]) ).
tcf(c_1294,plain,
( aElement0(sK4(xc,sz00))
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_1185,c_69]) ).
tcf(c_1295,plain,
aElement0(sK4(xc,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1294,c_49]) ).
tcf(c_1296,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xc,xy),X0) = sdtasdt0(X0,sK4(xc,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1206,c_72]) ).
tcf(c_1297,plain,
sdtasdt0(sz00,sK4(xc,xy)) = sz00,
inference(superposition,[status(thm)],[c_1206,c_83]) ).
tcf(c_1298,plain,
sdtasdt0(sK4(xc,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_1206,c_82]) ).
tcf(c_1299,plain,
sdtpldt0(sz00,sK4(xc,xy)) = sK4(xc,xy),
inference(superposition,[status(thm)],[c_1206,c_77]) ).
tcf(c_1300,plain,
sdtpldt0(sK4(xc,xy),sz00) = sK4(xc,xy),
inference(superposition,[status(thm)],[c_1206,c_76]) ).
tcf(c_1322,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xc,xx),X0) = sdtasdt0(X0,sK4(xc,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1207,c_72]) ).
tcf(c_1323,plain,
sdtasdt0(sz00,sK4(xc,xx)) = sz00,
inference(superposition,[status(thm)],[c_1207,c_83]) ).
tcf(c_1324,plain,
sdtasdt0(sK4(xc,xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_1207,c_82]) ).
tcf(c_1325,plain,
sdtpldt0(sz00,sK4(xc,xx)) = sK4(xc,xx),
inference(superposition,[status(thm)],[c_1207,c_77]) ).
tcf(c_1326,plain,
sdtpldt0(sK4(xc,xx),sz00) = sK4(xc,xx),
inference(superposition,[status(thm)],[c_1207,c_76]) ).
tcf(c_1330,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sz00,sz00),X0) = sdtasdt0(X0,sK4(sz00,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1271,c_72]) ).
tcf(c_1331,plain,
sdtasdt0(sz00,sK4(sz00,sz00)) = sz00,
inference(superposition,[status(thm)],[c_1271,c_83]) ).
tcf(c_1332,plain,
sdtasdt0(sK4(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_1271,c_82]) ).
tcf(c_1333,plain,
sdtpldt0(sz00,sK4(sz00,sz00)) = sK4(sz00,sz00),
inference(superposition,[status(thm)],[c_1271,c_77]) ).
tcf(c_1334,plain,
sdtpldt0(sK4(sz00,sz00),sz00) = sK4(sz00,sz00),
inference(superposition,[status(thm)],[c_1271,c_76]) ).
tcf(c_1338,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xy,sz00),X0) = sdtasdt0(X0,sK4(xy,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1274,c_72]) ).
tcf(c_1339,plain,
sdtasdt0(sz00,sK4(xy,sz00)) = sz00,
inference(superposition,[status(thm)],[c_1274,c_83]) ).
tcf(c_1340,plain,
sdtasdt0(sK4(xy,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_1274,c_82]) ).
tcf(c_1341,plain,
sdtpldt0(sz00,sK4(xy,sz00)) = sK4(xy,sz00),
inference(superposition,[status(thm)],[c_1274,c_77]) ).
tcf(c_1342,plain,
sdtpldt0(sK4(xy,sz00),sz00) = sK4(xy,sz00),
inference(superposition,[status(thm)],[c_1274,c_76]) ).
tcf(c_1371,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xx,sz00),X0) = sdtasdt0(X0,sK4(xx,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1277,c_72]) ).
tcf(c_1372,plain,
sdtasdt0(sz00,sK4(xx,sz00)) = sz00,
inference(superposition,[status(thm)],[c_1277,c_83]) ).
tcf(c_1373,plain,
sdtasdt0(sK4(xx,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_1277,c_82]) ).
tcf(c_1374,plain,
sdtpldt0(sz00,sK4(xx,sz00)) = sK4(xx,sz00),
inference(superposition,[status(thm)],[c_1277,c_77]) ).
tcf(c_1375,plain,
sdtpldt0(sK4(xx,sz00),sz00) = sK4(xx,sz00),
inference(superposition,[status(thm)],[c_1277,c_76]) ).
tcf(c_1387,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xc) = sdtpldt0(xc,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_79]) ).
tcf(c_1388,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xz) = sdtpldt0(xz,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_79]) ).
tcf(c_1389,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xu) = sdtpldt0(xu,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_79]) ).
tcf(c_1390,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xv) = sdtpldt0(xv,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_55,c_79]) ).
tcf(c_1391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),X2) = sdtpldt0(X2,sdtasdt0(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_79]) ).
tcf(c_1392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X2,sdtpldt0(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_79]) ).
tcf(c_1393,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_84,c_79]) ).
tcf(c_1394,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sz00,sz00),X0) = sdtpldt0(X0,sK4(sz00,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1271,c_79]) ).
tcf(c_1395,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xx) = sdtpldt0(xx,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1040,c_79]) ).
tcf(c_1396,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xy) = sdtpldt0(xy,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1047,c_79]) ).
tcf(c_1397,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xc,xx),X0) = sdtpldt0(X0,sK4(xc,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1207,c_79]) ).
tcf(c_1398,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xc,xy),X0) = sdtpldt0(X0,sK4(xc,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1206,c_79]) ).
tcf(c_1399,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xy,sz00),X0) = sdtpldt0(X0,sK4(xy,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1274,c_79]) ).
tcf(c_1400,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xx,sz00),X0) = sdtpldt0(X0,sK4(xx,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1277,c_79]) ).
tcf(c_1451,plain,
( ( sdtasdt0(xc,sK4(xc,xx)) = xx )
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_50,c_70]) ).
tcf(c_1452,plain,
( ( sdtasdt0(xc,sK4(xc,xy)) = xy )
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_51,c_70]) ).
tcf(c_1453,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK4(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_68,c_70]) ).
tcf(c_1455,plain,
( ( sdtasdt0(xc,sK4(xc,sz00)) = sz00 )
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_1185,c_70]) ).
tcf(c_1456,plain,
( ( sdtasdt0(xz,sK4(xz,sz00)) = sz00 )
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_1184,c_70]) ).
tcf(c_1457,plain,
( ( sdtasdt0(xu,sK4(xu,sz00)) = sz00 )
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_1183,c_70]) ).
tcf(c_1458,plain,
( ( sdtasdt0(xv,sK4(xv,sz00)) = sz00 )
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_1182,c_70]) ).
tcf(c_1459,plain,
( ( sdtasdt0(xx,sK4(xx,sz00)) = sz00 )
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_1181,c_70]) ).
tcf(c_1460,plain,
( ( sdtasdt0(xy,sK4(xy,sz00)) = sz00 )
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_1180,c_70]) ).
tcf(c_1461,plain,
sdtasdt0(xy,sK4(xy,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1460,c_1047]) ).
tcf(c_1462,plain,
sdtasdt0(xx,sK4(xx,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1459,c_1040]) ).
tcf(c_1463,plain,
sdtasdt0(xv,sK4(xv,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1458,c_55]) ).
tcf(c_1464,plain,
sdtasdt0(xu,sK4(xu,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1457,c_53]) ).
tcf(c_1465,plain,
sdtasdt0(xz,sK4(xz,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1456,c_52]) ).
tcf(c_1466,plain,
sdtasdt0(xc,sK4(xc,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1455,c_49]) ).
tcf(c_1467,plain,
sdtasdt0(xc,sK4(xc,xy)) = xy,
inference(forward_subsumption_resolution,[status(thm)],[c_1452,c_49]) ).
tcf(c_1468,plain,
sdtasdt0(xc,sK4(xc,xx)) = xx,
inference(forward_subsumption_resolution,[status(thm)],[c_1451,c_49]) ).
tcf(c_1508,plain,
! [X0: $i,X1: $i] :
( aElement0(sK1(X0,X1))
| aElementOf0(sK0(X0,X1),X0)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_62,c_63]) ).
tcf(c_1509,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK0(X1,slsdtgt0(X0)),X1)
| ( slsdtgt0(X0) = X1 )
| ( sdtasdt0(X0,sK4(X0,sK1(X1,slsdtgt0(X0)))) = sK1(X1,slsdtgt0(X0)) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_62,c_70]) ).
tcf(c_1510,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK0(X1,slsdtgt0(X0)),X1)
| aElement0(sK4(X0,sK1(X1,slsdtgt0(X0))))
| ( slsdtgt0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_62,c_69]) ).
tcf(c_1511,plain,
! [X0: $i,X1: $i] :
( aElement0(sK0(X0,X1))
| aElementOf0(sK1(X0,X1),X1)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_62,c_63]) ).
tcf(c_1512,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK1(slsdtgt0(X0),X1),X1)
| ( slsdtgt0(X0) = X1 )
| ( sdtasdt0(X0,sK4(X0,sK0(slsdtgt0(X0),X1))) = sK0(slsdtgt0(X0),X1) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_62,c_70]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK1(slsdtgt0(X0),X1),X1)
| aElement0(sK4(X0,sK0(slsdtgt0(X0),X1)))
| ( slsdtgt0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_62,c_69]) ).
tcf(c_1576,plain,
! [X0: $i,X1: $i] :
( aElement0(sK3(X0,X1))
| aElement0(sK2(X0,X1))
| ( slsdtgt0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_65,c_63]) ).
tcf(c_1577,plain,
! [X0: $i,X1: $i] :
( aElement0(sK3(X1,slsdtgt0(X0)))
| ( slsdtgt0(X0) = slsdtgt0(X1) )
| ( sdtasdt0(X0,sK4(X0,sK2(X1,slsdtgt0(X0)))) = sK2(X1,slsdtgt0(X0)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_65,c_70]) ).
tcf(c_1578,plain,
! [X0: $i,X1: $i] :
( aElement0(sK3(X1,slsdtgt0(X0)))
| aElement0(sK4(X0,sK2(X1,slsdtgt0(X0))))
| ( slsdtgt0(X0) = slsdtgt0(X1) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_65,c_69]) ).
tcf(c_1608,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xv,sz00),X0) = sdtpldt0(X0,sK4(xv,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1286,c_79]) ).
tcf(c_1609,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xv,sz00),X0) = sdtasdt0(X0,sK4(xv,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1286,c_72]) ).
tcf(c_1610,plain,
sdtasdt0(sz00,sK4(xv,sz00)) = sz00,
inference(superposition,[status(thm)],[c_1286,c_83]) ).
tcf(c_1611,plain,
sdtasdt0(sK4(xv,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_1286,c_82]) ).
tcf(c_1612,plain,
sdtpldt0(sz00,sK4(xv,sz00)) = sK4(xv,sz00),
inference(superposition,[status(thm)],[c_1286,c_77]) ).
tcf(c_1613,plain,
sdtpldt0(sK4(xv,sz00),sz00) = sK4(xv,sz00),
inference(superposition,[status(thm)],[c_1286,c_76]) ).
tcf(c_1644,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xu,sz00),X0) = sdtpldt0(X0,sK4(xu,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1289,c_79]) ).
tcf(c_1645,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xu,sz00),X0) = sdtasdt0(X0,sK4(xu,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1289,c_72]) ).
tcf(c_1646,plain,
sdtasdt0(sz00,sK4(xu,sz00)) = sz00,
inference(superposition,[status(thm)],[c_1289,c_83]) ).
tcf(c_1647,plain,
sdtasdt0(sK4(xu,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_1289,c_82]) ).
tcf(c_1648,plain,
sdtpldt0(sz00,sK4(xu,sz00)) = sK4(xu,sz00),
inference(superposition,[status(thm)],[c_1289,c_77]) ).
tcf(c_1649,plain,
sdtpldt0(sK4(xu,sz00),sz00) = sK4(xu,sz00),
inference(superposition,[status(thm)],[c_1289,c_76]) ).
tcf(c_1656,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xz,sz00),X0) = sdtpldt0(X0,sK4(xz,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1292,c_79]) ).
tcf(c_1657,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xz,sz00),X0) = sdtasdt0(X0,sK4(xz,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1292,c_72]) ).
tcf(c_1658,plain,
sdtasdt0(sz00,sK4(xz,sz00)) = sz00,
inference(superposition,[status(thm)],[c_1292,c_83]) ).
tcf(c_1659,plain,
sdtasdt0(sK4(xz,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_1292,c_82]) ).
tcf(c_1660,plain,
sdtpldt0(sz00,sK4(xz,sz00)) = sK4(xz,sz00),
inference(superposition,[status(thm)],[c_1292,c_77]) ).
tcf(c_1661,plain,
sdtpldt0(sK4(xz,sz00),sz00) = sK4(xz,sz00),
inference(superposition,[status(thm)],[c_1292,c_76]) ).
tcf(c_1671,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xc,sz00),X0) = sdtpldt0(X0,sK4(xc,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1295,c_79]) ).
tcf(c_1672,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xc,sz00),X0) = sdtasdt0(X0,sK4(xc,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1295,c_72]) ).
tcf(c_1673,plain,
sdtasdt0(sz00,sK4(xc,sz00)) = sz00,
inference(superposition,[status(thm)],[c_1295,c_83]) ).
tcf(c_1674,plain,
sdtasdt0(sK4(xc,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_1295,c_82]) ).
tcf(c_1675,plain,
sdtpldt0(sz00,sK4(xc,sz00)) = sK4(xc,sz00),
inference(superposition,[status(thm)],[c_1295,c_77]) ).
tcf(c_1676,plain,
sdtpldt0(sK4(xc,sz00),sz00) = sK4(xc,sz00),
inference(superposition,[status(thm)],[c_1295,c_76]) ).
tcf(c_1711,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xc,xy)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xc,xy)) ),
inference(superposition,[status(thm)],[c_1298,c_68]) ).
tcf(c_1713,plain,
aElementOf0(sz00,slsdtgt0(sK4(xc,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_1711,c_84,c_1206]) ).
tcf(c_1715,plain,
( ( sdtasdt0(sK4(xc,xy),sK4(sK4(xc,xy),sz00)) = sz00 )
| ~ aElement0(sK4(xc,xy)) ),
inference(superposition,[status(thm)],[c_1713,c_70]) ).
tcf(c_1716,plain,
( aElement0(sK4(sK4(xc,xy),sz00))
| ~ aElement0(sK4(xc,xy)) ),
inference(superposition,[status(thm)],[c_1713,c_69]) ).
tcf(c_1717,plain,
aElement0(sK4(sK4(xc,xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_1716,c_1206]) ).
tcf(c_1718,plain,
sdtasdt0(sK4(xc,xy),sK4(sK4(xc,xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1715,c_1206]) ).
tcf(c_1719,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xc,xy),sz00),X0) = sdtpldt0(X0,sK4(sK4(xc,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1717,c_79]) ).
tcf(c_1720,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xc,xy),sz00),X0) = sdtasdt0(X0,sK4(sK4(xc,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1717,c_72]) ).
tcf(c_1721,plain,
sdtasdt0(sz00,sK4(sK4(xc,xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_1717,c_83]) ).
tcf(c_1722,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_1717,c_82]) ).
tcf(c_1723,plain,
sdtpldt0(sz00,sK4(sK4(xc,xy),sz00)) = sK4(sK4(xc,xy),sz00),
inference(superposition,[status(thm)],[c_1717,c_77]) ).
tcf(c_1724,plain,
sdtpldt0(sK4(sK4(xc,xy),sz00),sz00) = sK4(sK4(xc,xy),sz00),
inference(superposition,[status(thm)],[c_1717,c_76]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xc) = sdtasdt0(X0,sdtasdt0(X1,xc)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_71]) ).
tcf(c_1776,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xz) = sdtasdt0(X0,sdtasdt0(X1,xz)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_71]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xu) = sdtasdt0(X0,sdtasdt0(X1,xu)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_71]) ).
tcf(c_1778,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xv) = sdtasdt0(X0,sdtasdt0(X1,xv)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_55,c_71]) ).
tcf(c_1779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sdtasdt0(X0,X1)) = sdtasdt0(X2,sdtasdt0(X3,sdtasdt0(X0,X1))) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_71]) ).
tcf(c_1780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X2,X3),sdtpldt0(X0,X1)) = sdtasdt0(X2,sdtasdt0(X3,sdtpldt0(X0,X1))) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_71]) ).
tcf(c_1781,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_84,c_71]) ).
tcf(c_1782,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sz00,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sz00,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1271,c_71]) ).
tcf(c_1783,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(X0,sdtasdt0(X1,xx)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1040,c_71]) ).
tcf(c_1784,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xy) = sdtasdt0(X0,sdtasdt0(X1,xy)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1047,c_71]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xc,xx)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1207,c_71]) ).
tcf(c_1786,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xc,xy)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1206,c_71]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xy,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xy,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1274,c_71]) ).
tcf(c_1788,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xx,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xx,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1277,c_71]) ).
tcf(c_1789,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xv,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xv,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1286,c_71]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xu,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xu,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1289,c_71]) ).
tcf(c_1791,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xz,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xz,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1292,c_71]) ).
tcf(c_1792,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xc,sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xc,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1295,c_71]) ).
tcf(c_1793,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xc,xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1717,c_71]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xc) = sdtpldt0(X0,sdtpldt0(X1,xc)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_78]) ).
tcf(c_1913,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xz) = sdtpldt0(X0,sdtpldt0(X1,xz)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_78]) ).
tcf(c_1914,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xu) = sdtpldt0(X0,sdtpldt0(X1,xu)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_78]) ).
tcf(c_1915,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xv) = sdtpldt0(X0,sdtpldt0(X1,xv)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_55,c_78]) ).
tcf(c_1916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sdtasdt0(X0,X1)) = sdtpldt0(X2,sdtpldt0(X3,sdtasdt0(X0,X1))) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_78]) ).
tcf(c_1917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X2,X3),sdtpldt0(X0,X1)) = sdtpldt0(X2,sdtpldt0(X3,sdtpldt0(X0,X1))) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_78]) ).
tcf(c_1918,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_84,c_78]) ).
tcf(c_1919,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sz00,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sz00,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1271,c_78]) ).
tcf(c_1920,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(X0,sdtpldt0(X1,xx)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1040,c_78]) ).
tcf(c_1921,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xy) = sdtpldt0(X0,sdtpldt0(X1,xy)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1047,c_78]) ).
tcf(c_1922,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xc,xx)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1207,c_78]) ).
tcf(c_1923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xc,xy)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1206,c_78]) ).
tcf(c_1924,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xy,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xy,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1274,c_78]) ).
tcf(c_1925,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xx,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xx,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1277,c_78]) ).
tcf(c_1926,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xv,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xv,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1286,c_78]) ).
tcf(c_1927,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xu,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xu,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1289,c_78]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xz,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xz,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1292,c_78]) ).
tcf(c_1929,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xc,sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xc,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1295,c_78]) ).
tcf(c_1930,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xc,xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1717,c_78]) ).
tcf(c_2068,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xc,xx)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xc,xx)) ),
inference(superposition,[status(thm)],[c_1324,c_68]) ).
tcf(c_2070,plain,
aElementOf0(sz00,slsdtgt0(sK4(xc,xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_2068,c_84,c_1207]) ).
tcf(c_2072,plain,
( ( sdtasdt0(sK4(xc,xx),sK4(sK4(xc,xx),sz00)) = sz00 )
| ~ aElement0(sK4(xc,xx)) ),
inference(superposition,[status(thm)],[c_2070,c_70]) ).
tcf(c_2073,plain,
( aElement0(sK4(sK4(xc,xx),sz00))
| ~ aElement0(sK4(xc,xx)) ),
inference(superposition,[status(thm)],[c_2070,c_69]) ).
tcf(c_2074,plain,
aElement0(sK4(sK4(xc,xx),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_2073,c_1207]) ).
tcf(c_2075,plain,
sdtasdt0(sK4(xc,xx),sK4(sK4(xc,xx),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_2072,c_1207]) ).
tcf(c_2081,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xc,xx),sz00),X0) = sdtpldt0(X0,sK4(sK4(xc,xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2074,c_79]) ).
tcf(c_2082,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xc,xx),sz00),X0) = sdtasdt0(X0,sK4(sK4(xc,xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2074,c_72]) ).
tcf(c_2083,plain,
sdtasdt0(sz00,sK4(sK4(xc,xx),sz00)) = sz00,
inference(superposition,[status(thm)],[c_2074,c_83]) ).
tcf(c_2084,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_2074,c_82]) ).
tcf(c_2085,plain,
sdtpldt0(sz00,sK4(sK4(xc,xx),sz00)) = sK4(sK4(xc,xx),sz00),
inference(superposition,[status(thm)],[c_2074,c_77]) ).
tcf(c_2086,plain,
sdtpldt0(sK4(sK4(xc,xx),sz00),sz00) = sK4(sK4(xc,xx),sz00),
inference(superposition,[status(thm)],[c_2074,c_76]) ).
tcf(c_2087,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xc,xx),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2074,c_78]) ).
tcf(c_2088,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xc,xx),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2074,c_71]) ).
tcf(c_2160,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sz00,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_1332,c_68]) ).
tcf(c_2162,plain,
aElementOf0(sz00,slsdtgt0(sK4(sz00,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_2160,c_84,c_1271]) ).
tcf(c_2164,plain,
( ( sdtasdt0(sK4(sz00,sz00),sK4(sK4(sz00,sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_2162,c_70]) ).
tcf(c_2165,plain,
( aElement0(sK4(sK4(sz00,sz00),sz00))
| ~ aElement0(sK4(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_2162,c_69]) ).
tcf(c_2166,plain,
aElement0(sK4(sK4(sz00,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_2165,c_1271]) ).
tcf(c_2167,plain,
sdtasdt0(sK4(sz00,sz00),sK4(sK4(sz00,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_2164,c_1271]) ).
tcf(c_2179,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sz00,sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sz00,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_79]) ).
tcf(c_2180,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sz00,sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sz00,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_72]) ).
tcf(c_2181,plain,
sdtasdt0(sz00,sK4(sK4(sz00,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_2166,c_83]) ).
tcf(c_2182,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_2166,c_82]) ).
tcf(c_2183,plain,
sdtpldt0(sz00,sK4(sK4(sz00,sz00),sz00)) = sK4(sK4(sz00,sz00),sz00),
inference(superposition,[status(thm)],[c_2166,c_77]) ).
tcf(c_2184,plain,
sdtpldt0(sK4(sK4(sz00,sz00),sz00),sz00) = sK4(sK4(sz00,sz00),sz00),
inference(superposition,[status(thm)],[c_2166,c_76]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sz00,sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sz00,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_78]) ).
tcf(c_2186,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sz00,sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sz00,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_71]) ).
tcf(c_2298,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xy,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xy,sz00)) ),
inference(superposition,[status(thm)],[c_1340,c_68]) ).
tcf(c_2300,plain,
aElementOf0(sz00,slsdtgt0(sK4(xy,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_2298,c_84,c_1274]) ).
tcf(c_2326,plain,
( ( sdtasdt0(sK4(xy,sz00),sK4(sK4(xy,sz00),sz00)) = sz00 )
| ~ aElement0(sK4(xy,sz00)) ),
inference(superposition,[status(thm)],[c_2300,c_70]) ).
tcf(c_2327,plain,
( aElement0(sK4(sK4(xy,sz00),sz00))
| ~ aElement0(sK4(xy,sz00)) ),
inference(superposition,[status(thm)],[c_2300,c_69]) ).
tcf(c_2328,plain,
aElement0(sK4(sK4(xy,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_2327,c_1274]) ).
tcf(c_2329,plain,
sdtasdt0(sK4(xy,sz00),sK4(sK4(xy,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_2326,c_1274]) ).
tcf(c_2364,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xy,sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(xy,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2328,c_79]) ).
tcf(c_2365,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xy,sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(xy,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2328,c_72]) ).
tcf(c_2366,plain,
sdtasdt0(sz00,sK4(sK4(xy,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_2328,c_83]) ).
tcf(c_2367,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_2328,c_82]) ).
tcf(c_2368,plain,
sdtpldt0(sz00,sK4(sK4(xy,sz00),sz00)) = sK4(sK4(xy,sz00),sz00),
inference(superposition,[status(thm)],[c_2328,c_77]) ).
tcf(c_2369,plain,
sdtpldt0(sK4(sK4(xy,sz00),sz00),sz00) = sK4(sK4(xy,sz00),sz00),
inference(superposition,[status(thm)],[c_2328,c_76]) ).
tcf(c_2370,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xy,sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xy,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2328,c_78]) ).
tcf(c_2371,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xy,sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xy,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2328,c_71]) ).
tcf(c_2397,plain,
( ( xu = sz00 )
| ( xc = sz00 )
| ~ aElement0(xu)
| ~ aElement0(xc)
| ( xx != sz00 ) ),
inference(superposition,[status(thm)],[c_54,c_81]) ).
tcf(c_2398,plain,
( ( xv = sz00 )
| ( xc = sz00 )
| ~ aElement0(xv)
| ~ aElement0(xc)
| ( xy != sz00 ) ),
inference(superposition,[status(thm)],[c_56,c_81]) ).
tcf(c_2399,plain,
( ( xc = sz00 )
| ( sdtpldt0(xu,xv) = sz00 )
| ~ aElement0(xc)
| ~ aElement0(sdtpldt0(xu,xv))
| ( sdtpldt0(xx,xy) != sz00 ) ),
inference(superposition,[status(thm)],[c_57,c_81]) ).
tcf(c_2421,plain,
( ( xv = sz00 )
| ( xc = sz00 )
| ( xy != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2398,c_55,c_49]) ).
tcf(c_2425,plain,
( ( xu = sz00 )
| ( xc = sz00 )
| ( xx != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2397,c_53,c_49]) ).
tcf(c_2429,plain,
( ( xc = sz00 )
| ( sdtpldt0(xu,xv) = sz00 )
| ~ aElement0(sdtpldt0(xu,xv))
| ( sdtpldt0(xx,xy) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2399,c_49]) ).
tcf(c_2481,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xc)) = sdtasdt0(X0,sdtpldt0(X1,xc)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_73]) ).
tcf(c_2482,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xz)) = sdtasdt0(X0,sdtpldt0(X1,xz)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_73]) ).
tcf(c_2483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(X1,xu)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_73]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(X1,xv)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_55,c_73]) ).
tcf(c_2485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X0,X1))) = sdtasdt0(X2,sdtpldt0(X3,sdtasdt0(X0,X1))) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_73]) ).
tcf(c_2486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtpldt0(X0,X1))) = sdtasdt0(X2,sdtpldt0(X3,sdtpldt0(X0,X1))) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_73]) ).
tcf(c_2487,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00)) = sdtasdt0(X0,sdtpldt0(X1,sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_84,c_73]) ).
tcf(c_2488,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sz00,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sz00,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1271,c_73]) ).
tcf(c_2489,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(X1,xx)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1040,c_73]) ).
tcf(c_2490,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(X1,xy)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1047,c_73]) ).
tcf(c_2491,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xc,xx))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1207,c_73]) ).
tcf(c_2492,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xc,xy))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1206,c_73]) ).
tcf(c_2493,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xy,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xy,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1274,c_73]) ).
tcf(c_2494,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xx,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xx,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1277,c_73]) ).
tcf(c_2495,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xv,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xv,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1286,c_73]) ).
tcf(c_2496,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xu,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xu,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1289,c_73]) ).
tcf(c_2497,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xz,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xz,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1292,c_73]) ).
tcf(c_2498,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xc,sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xc,sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1295,c_73]) ).
tcf(c_2499,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xc,xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1717,c_73]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xc,xx),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2074,c_73]) ).
tcf(c_2501,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sz00,sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sz00,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_73]) ).
tcf(c_2502,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xy,sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xy,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2328,c_73]) ).
tcf(c_2636,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xc,X0)) = sdtasdt0(sdtpldt0(X1,xc),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_74]) ).
tcf(c_2637,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xz,X0)) = sdtasdt0(sdtpldt0(X1,xz),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_74]) ).
tcf(c_2638,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xu,X0)) = sdtasdt0(sdtpldt0(X1,xu),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_74]) ).
tcf(c_2639,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xv,X0)) = sdtasdt0(sdtpldt0(X1,xv),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_55,c_74]) ).
tcf(c_2640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sdtasdt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X3,sdtasdt0(X0,X1)),X2) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_74]) ).
tcf(c_2641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X3,sdtpldt0(X0,X1)),X2) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_74]) ).
tcf(c_2642,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sz00,X0)) = sdtasdt0(sdtpldt0(X1,sz00),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_84,c_74]) ).
tcf(c_2643,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sz00,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sz00,sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1271,c_74]) ).
tcf(c_2644,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xx,X0)) = sdtasdt0(sdtpldt0(X1,xx),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1040,c_74]) ).
tcf(c_2645,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xy,X0)) = sdtasdt0(sdtpldt0(X1,xy),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1047,c_74]) ).
tcf(c_2646,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xc,xx),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xc,xx)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1207,c_74]) ).
tcf(c_2647,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xc,xy),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xc,xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1206,c_74]) ).
tcf(c_2648,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xy,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xy,sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1274,c_74]) ).
tcf(c_2649,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xx,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xx,sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1277,c_74]) ).
tcf(c_2650,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xv,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xv,sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1286,c_74]) ).
tcf(c_2651,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xu,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xu,sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1289,c_74]) ).
tcf(c_2652,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xz,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xz,sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1292,c_74]) ).
tcf(c_2653,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xc,sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xc,sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1295,c_74]) ).
tcf(c_2654,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xc,xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xc,xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_1717,c_74]) ).
tcf(c_2655,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xc,xx),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xc,xx),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2074,c_74]) ).
tcf(c_2656,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sz00,sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sz00,sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2166,c_74]) ).
tcf(c_2657,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xy,sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xy,sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2328,c_74]) ).
tcf(c_2884,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xx,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xx,sz00)) ),
inference(superposition,[status(thm)],[c_1373,c_68]) ).
tcf(c_2886,plain,
aElementOf0(sz00,slsdtgt0(sK4(xx,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_2884,c_84,c_1277]) ).
tcf(c_2888,plain,
( ( sdtasdt0(sK4(xx,sz00),sK4(sK4(xx,sz00),sz00)) = sz00 )
| ~ aElement0(sK4(xx,sz00)) ),
inference(superposition,[status(thm)],[c_2886,c_70]) ).
tcf(c_2889,plain,
( aElement0(sK4(sK4(xx,sz00),sz00))
| ~ aElement0(sK4(xx,sz00)) ),
inference(superposition,[status(thm)],[c_2886,c_69]) ).
tcf(c_2890,plain,
aElement0(sK4(sK4(xx,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_2889,c_1277]) ).
tcf(c_2891,plain,
sdtasdt0(sK4(xx,sz00),sK4(sK4(xx,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_2888,c_1277]) ).
tcf(c_2892,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xx,sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(xx,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2890,c_79]) ).
tcf(c_2893,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xx,sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(xx,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2890,c_72]) ).
tcf(c_2894,plain,
sdtasdt0(sz00,sK4(sK4(xx,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_2890,c_83]) ).
tcf(c_2895,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_2890,c_82]) ).
tcf(c_2896,plain,
sdtpldt0(sz00,sK4(sK4(xx,sz00),sz00)) = sK4(sK4(xx,sz00),sz00),
inference(superposition,[status(thm)],[c_2890,c_77]) ).
tcf(c_2897,plain,
sdtpldt0(sK4(sK4(xx,sz00),sz00),sz00) = sK4(sK4(xx,sz00),sz00),
inference(superposition,[status(thm)],[c_2890,c_76]) ).
tcf(c_2898,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xx,sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xx,sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2890,c_74]) ).
tcf(c_2899,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xx,sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xx,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2890,c_73]) ).
tcf(c_2900,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xx,sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xx,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2890,c_78]) ).
tcf(c_2901,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xx,sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xx,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2890,c_71]) ).
tcf(c_2968,plain,
( ( xy = sz00 )
| ( sK4(xy,sz00) = sz00 )
| ~ aElement0(xy)
| ~ aElement0(sK4(xy,sz00)) ),
inference(superposition,[status(thm)],[c_1461,c_81]) ).
tcf(c_2971,plain,
( ( xy = sz00 )
| ( sK4(xy,sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2968,c_1047,c_1274]) ).
tcf(c_2976,plain,
( ( xx = sz00 )
| ( sK4(xx,sz00) = sz00 )
| ~ aElement0(xx)
| ~ aElement0(sK4(xx,sz00)) ),
inference(superposition,[status(thm)],[c_1462,c_81]) ).
tcf(c_2979,plain,
( ( xx = sz00 )
| ( sK4(xx,sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2976,c_1040,c_1277]) ).
tcf(c_2989,plain,
( ( xv = sz00 )
| ( sK4(xv,sz00) = sz00 )
| ~ aElement0(xv)
| ~ aElement0(sK4(xv,sz00)) ),
inference(superposition,[status(thm)],[c_1463,c_81]) ).
tcf(c_2992,plain,
( ( xv = sz00 )
| ( sK4(xv,sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2989,c_55,c_1286]) ).
tcf(c_2995,plain,
( ( xu = sz00 )
| ( sK4(xu,sz00) = sz00 )
| ~ aElement0(xu)
| ~ aElement0(sK4(xu,sz00)) ),
inference(superposition,[status(thm)],[c_1464,c_81]) ).
tcf(c_2998,plain,
( ( xu = sz00 )
| ( sK4(xu,sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2995,c_53,c_1289]) ).
tcf(c_3001,plain,
( ( xz = sz00 )
| ( sK4(xz,sz00) = sz00 )
| ~ aElement0(xz)
| ~ aElement0(sK4(xz,sz00)) ),
inference(superposition,[status(thm)],[c_1465,c_81]) ).
tcf(c_3004,plain,
( ( xz = sz00 )
| ( sK4(xz,sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3001,c_52,c_1292]) ).
tcf(c_3007,plain,
( ( xc = sz00 )
| ( sK4(xc,sz00) = sz00 )
| ~ aElement0(xc)
| ~ aElement0(sK4(xc,sz00)) ),
inference(superposition,[status(thm)],[c_1466,c_81]) ).
tcf(c_3010,plain,
( ( xc = sz00 )
| ( sK4(xc,sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3007,c_49,c_1295]) ).
tcf(c_3013,plain,
( ( xc = sz00 )
| ( sK4(xc,xy) = sz00 )
| ~ aElement0(xc)
| ~ aElement0(sK4(xc,xy))
| ( xy != sz00 ) ),
inference(superposition,[status(thm)],[c_1467,c_81]) ).
tcf(c_3016,plain,
( ( xc = sz00 )
| ( sK4(xc,xy) = sz00 )
| ( xy != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3013,c_49,c_1206]) ).
tcf(c_3020,plain,
( ( xc = sz00 )
| ( sK4(xc,xx) = sz00 )
| ~ aElement0(xc)
| ~ aElement0(sK4(xc,xx))
| ( xx != sz00 ) ),
inference(superposition,[status(thm)],[c_1468,c_81]) ).
tcf(c_3023,plain,
( ( xc = sz00 )
| ( sK4(xc,xx) = sz00 )
| ( xx != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3020,c_49,c_1207]) ).
tcf(c_3045,plain,
! [X0: $i,X1: $i] :
( aElement0(sK2(X0,X1))
| ( slsdtgt0(X0) = X1 )
| ( sdtasdt0(X0,sK3(X0,X1)) = sK2(X0,X1) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_66,c_63]) ).
tcf(c_3046,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = slsdtgt0(X1) )
| ( sdtasdt0(X1,sK3(X1,slsdtgt0(X0))) = sK2(X1,slsdtgt0(X0)) )
| ( sdtasdt0(X0,sK4(X0,sK2(X1,slsdtgt0(X0)))) = sK2(X1,slsdtgt0(X0)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_66,c_70]) ).
tcf(c_3047,plain,
! [X0: $i,X1: $i] :
( aElement0(sK4(X0,sK2(X1,slsdtgt0(X0))))
| ( slsdtgt0(X0) = slsdtgt0(X1) )
| ( sdtasdt0(X1,sK3(X1,slsdtgt0(X0))) = sK2(X1,slsdtgt0(X0)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_66,c_69]) ).
tcf(c_3096,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = X0 )
| ~ aElement0(xc)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xu,xv))
| ~ aElementOf0(sK2(xc,X0),X0)
| ( sK2(xc,X0) != sdtpldt0(xx,xy) ) ),
inference(superposition,[status(thm)],[c_57,c_64]) ).
tcf(c_3097,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(sz00,sz00))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1331,c_64]) ).
tcf(c_3098,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,xy))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1297,c_64]) ).
tcf(c_3099,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,xx))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1323,c_64]) ).
tcf(c_3100,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xy,sz00))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1339,c_64]) ).
tcf(c_3101,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xx,sz00))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1372,c_64]) ).
tcf(c_3102,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = X0 )
| ~ aElement0(xc)
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,xx))
| ~ aElementOf0(sK2(xc,X0),X0)
| ( sK2(xc,X0) != xx ) ),
inference(superposition,[status(thm)],[c_1468,c_64]) ).
tcf(c_3103,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = X0 )
| ~ aElement0(xc)
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,xy))
| ~ aElementOf0(sK2(xc,X0),X0)
| ( sK2(xc,X0) != xy ) ),
inference(superposition,[status(thm)],[c_1467,c_64]) ).
tcf(c_3104,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = X0 )
| ~ aElement0(xc)
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,sz00))
| ~ aElementOf0(sK2(xc,X0),X0)
| ( sK2(xc,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1466,c_64]) ).
tcf(c_3105,plain,
! [X0: $i] :
( ( slsdtgt0(xz) = X0 )
| ~ aElement0(xz)
| ~ aSet0(X0)
| ~ aElement0(sK4(xz,sz00))
| ~ aElementOf0(sK2(xz,X0),X0)
| ( sK2(xz,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1465,c_64]) ).
tcf(c_3106,plain,
! [X0: $i] :
( ( slsdtgt0(xu) = X0 )
| ~ aElement0(xu)
| ~ aSet0(X0)
| ~ aElement0(sK4(xu,sz00))
| ~ aElementOf0(sK2(xu,X0),X0)
| ( sK2(xu,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1464,c_64]) ).
tcf(c_3107,plain,
! [X0: $i] :
( ( slsdtgt0(xv) = X0 )
| ~ aElement0(xv)
| ~ aSet0(X0)
| ~ aElement0(sK4(xv,sz00))
| ~ aElementOf0(sK2(xv,X0),X0)
| ( sK2(xv,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1463,c_64]) ).
tcf(c_3108,plain,
! [X0: $i] :
( ( slsdtgt0(xx) = X0 )
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aElement0(sK4(xx,sz00))
| ~ aElementOf0(sK2(xx,X0),X0)
| ( sK2(xx,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1462,c_64]) ).
tcf(c_3109,plain,
! [X0: $i] :
( ( slsdtgt0(xy) = X0 )
| ~ aElement0(xy)
| ~ aSet0(X0)
| ~ aElement0(sK4(xy,sz00))
| ~ aElementOf0(sK2(xy,X0),X0)
| ( sK2(xy,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1461,c_64]) ).
tcf(c_3110,plain,
! [X0: $i] :
( ( slsdtgt0(xy) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xy,X0),X0)
| ( sK2(xy,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3109,c_1047,c_1274]) ).
tcf(c_3115,plain,
! [X0: $i] :
( ( slsdtgt0(xx) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xx,X0),X0)
| ( sK2(xx,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3108,c_1040,c_1277]) ).
tcf(c_3120,plain,
! [X0: $i] :
( ( slsdtgt0(xv) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xv,X0),X0)
| ( sK2(xv,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3107,c_55,c_1286]) ).
tcf(c_3125,plain,
! [X0: $i] :
( ( slsdtgt0(xu) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xu,X0),X0)
| ( sK2(xu,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3106,c_53,c_1289]) ).
tcf(c_3130,plain,
! [X0: $i] :
( ( slsdtgt0(xz) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xz,X0),X0)
| ( sK2(xz,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3105,c_52,c_1292]) ).
tcf(c_3135,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xc,X0),X0)
| ( sK2(xc,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3104,c_49,c_1295]) ).
tcf(c_3140,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xc,X0),X0)
| ( sK2(xc,X0) != xy ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3103,c_49,c_1206]) ).
tcf(c_3145,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xc,X0),X0)
| ( sK2(xc,X0) != xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3102,c_49,c_1207]) ).
tcf(c_3150,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3101,c_84,c_1277]) ).
tcf(c_3159,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xu,xv))
| ~ aElementOf0(sK2(xc,X0),X0)
| ( sK2(xc,X0) != sdtpldt0(xx,xy) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3096,c_49]) ).
tcf(c_3202,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xv,sz00))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1610,c_64]) ).
tcf(c_3208,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xv,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xv,sz00)) ),
inference(superposition,[status(thm)],[c_1611,c_68]) ).
tcf(c_3210,plain,
aElementOf0(sz00,slsdtgt0(sK4(xv,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3208,c_84,c_1286]) ).
tcf(c_3212,plain,
( ( sdtasdt0(sK4(xv,sz00),sK4(sK4(xv,sz00),sz00)) = sz00 )
| ~ aElement0(sK4(xv,sz00)) ),
inference(superposition,[status(thm)],[c_3210,c_70]) ).
tcf(c_3213,plain,
( aElement0(sK4(sK4(xv,sz00),sz00))
| ~ aElement0(sK4(xv,sz00)) ),
inference(superposition,[status(thm)],[c_3210,c_69]) ).
tcf(c_3214,plain,
aElement0(sK4(sK4(xv,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3213,c_1286]) ).
tcf(c_3215,plain,
sdtasdt0(sK4(xv,sz00),sK4(sK4(xv,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3212,c_1286]) ).
tcf(c_3253,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xv,sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(xv,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3214,c_79]) ).
tcf(c_3254,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xv,sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(xv,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3214,c_72]) ).
tcf(c_3255,plain,
sdtasdt0(sz00,sK4(sK4(xv,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3214,c_83]) ).
tcf(c_3256,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3214,c_82]) ).
tcf(c_3257,plain,
sdtpldt0(sz00,sK4(sK4(xv,sz00),sz00)) = sK4(sK4(xv,sz00),sz00),
inference(superposition,[status(thm)],[c_3214,c_77]) ).
tcf(c_3258,plain,
sdtpldt0(sK4(sK4(xv,sz00),sz00),sz00) = sK4(sK4(xv,sz00),sz00),
inference(superposition,[status(thm)],[c_3214,c_76]) ).
tcf(c_3259,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xv,sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xv,sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3214,c_74]) ).
tcf(c_3260,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xv,sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xv,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3214,c_73]) ).
tcf(c_3261,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xv,sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xv,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3214,c_78]) ).
tcf(c_3262,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xv,sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xv,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3214,c_71]) ).
tcf(c_3315,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xu,sz00))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1646,c_64]) ).
tcf(c_3321,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xu,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xu,sz00)) ),
inference(superposition,[status(thm)],[c_1647,c_68]) ).
tcf(c_3323,plain,
aElementOf0(sz00,slsdtgt0(sK4(xu,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3321,c_84,c_1289]) ).
tcf(c_3325,plain,
( ( sdtasdt0(sK4(xu,sz00),sK4(sK4(xu,sz00),sz00)) = sz00 )
| ~ aElement0(sK4(xu,sz00)) ),
inference(superposition,[status(thm)],[c_3323,c_70]) ).
tcf(c_3326,plain,
( aElement0(sK4(sK4(xu,sz00),sz00))
| ~ aElement0(sK4(xu,sz00)) ),
inference(superposition,[status(thm)],[c_3323,c_69]) ).
tcf(c_3327,plain,
aElement0(sK4(sK4(xu,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3326,c_1289]) ).
tcf(c_3328,plain,
sdtasdt0(sK4(xu,sz00),sK4(sK4(xu,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3325,c_1289]) ).
tcf(c_3329,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xu,sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(xu,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3327,c_79]) ).
tcf(c_3330,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xu,sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(xu,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3327,c_72]) ).
tcf(c_3331,plain,
sdtasdt0(sz00,sK4(sK4(xu,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3327,c_83]) ).
tcf(c_3332,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3327,c_82]) ).
tcf(c_3333,plain,
sdtpldt0(sz00,sK4(sK4(xu,sz00),sz00)) = sK4(sK4(xu,sz00),sz00),
inference(superposition,[status(thm)],[c_3327,c_77]) ).
tcf(c_3334,plain,
sdtpldt0(sK4(sK4(xu,sz00),sz00),sz00) = sK4(sK4(xu,sz00),sz00),
inference(superposition,[status(thm)],[c_3327,c_76]) ).
tcf(c_3335,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xu,sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xu,sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3327,c_74]) ).
tcf(c_3336,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xu,sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xu,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3327,c_73]) ).
tcf(c_3337,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xu,sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xu,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3327,c_78]) ).
tcf(c_3338,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xu,sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xu,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3327,c_71]) ).
tcf(c_3379,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xz,sz00))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1658,c_64]) ).
tcf(c_3385,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xz,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xz,sz00)) ),
inference(superposition,[status(thm)],[c_1659,c_68]) ).
tcf(c_3387,plain,
aElementOf0(sz00,slsdtgt0(sK4(xz,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3385,c_84,c_1292]) ).
tcf(c_3389,plain,
( ( sdtasdt0(sK4(xz,sz00),sK4(sK4(xz,sz00),sz00)) = sz00 )
| ~ aElement0(sK4(xz,sz00)) ),
inference(superposition,[status(thm)],[c_3387,c_70]) ).
tcf(c_3390,plain,
( aElement0(sK4(sK4(xz,sz00),sz00))
| ~ aElement0(sK4(xz,sz00)) ),
inference(superposition,[status(thm)],[c_3387,c_69]) ).
tcf(c_3391,plain,
aElement0(sK4(sK4(xz,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3390,c_1292]) ).
tcf(c_3392,plain,
sdtasdt0(sK4(xz,sz00),sK4(sK4(xz,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3389,c_1292]) ).
tcf(c_3393,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xz,sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(xz,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3391,c_79]) ).
tcf(c_3394,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xz,sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(xz,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3391,c_72]) ).
tcf(c_3395,plain,
sdtasdt0(sz00,sK4(sK4(xz,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3391,c_83]) ).
tcf(c_3396,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3391,c_82]) ).
tcf(c_3397,plain,
sdtpldt0(sz00,sK4(sK4(xz,sz00),sz00)) = sK4(sK4(xz,sz00),sz00),
inference(superposition,[status(thm)],[c_3391,c_77]) ).
tcf(c_3398,plain,
sdtpldt0(sK4(sK4(xz,sz00),sz00),sz00) = sK4(sK4(xz,sz00),sz00),
inference(superposition,[status(thm)],[c_3391,c_76]) ).
tcf(c_3399,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xz,sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xz,sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3391,c_74]) ).
tcf(c_3400,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xz,sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xz,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3391,c_73]) ).
tcf(c_3401,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xz,sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xz,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3391,c_78]) ).
tcf(c_3402,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xz,sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xz,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3391,c_71]) ).
tcf(c_3446,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,sz00))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1673,c_64]) ).
tcf(c_3452,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xc,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xc,sz00)) ),
inference(superposition,[status(thm)],[c_1674,c_68]) ).
tcf(c_3454,plain,
aElementOf0(sz00,slsdtgt0(sK4(xc,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3452,c_84,c_1295]) ).
tcf(c_3457,plain,
( ( sdtasdt0(sK4(xc,sz00),sK4(sK4(xc,sz00),sz00)) = sz00 )
| ~ aElement0(sK4(xc,sz00)) ),
inference(superposition,[status(thm)],[c_3454,c_70]) ).
tcf(c_3458,plain,
( aElement0(sK4(sK4(xc,sz00),sz00))
| ~ aElement0(sK4(xc,sz00)) ),
inference(superposition,[status(thm)],[c_3454,c_69]) ).
tcf(c_3459,plain,
aElement0(sK4(sK4(xc,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3458,c_1295]) ).
tcf(c_3460,plain,
sdtasdt0(sK4(xc,sz00),sK4(sK4(xc,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3457,c_1295]) ).
tcf(c_3464,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xc,sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(xc,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3459,c_79]) ).
tcf(c_3465,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xc,sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(xc,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3459,c_72]) ).
tcf(c_3466,plain,
sdtasdt0(sz00,sK4(sK4(xc,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3459,c_83]) ).
tcf(c_3467,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3459,c_82]) ).
tcf(c_3468,plain,
sdtpldt0(sz00,sK4(sK4(xc,sz00),sz00)) = sK4(sK4(xc,sz00),sz00),
inference(superposition,[status(thm)],[c_3459,c_77]) ).
tcf(c_3469,plain,
sdtpldt0(sK4(sK4(xc,sz00),sz00),sz00) = sK4(sK4(xc,sz00),sz00),
inference(superposition,[status(thm)],[c_3459,c_76]) ).
tcf(c_3470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xc,sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xc,sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3459,c_74]) ).
tcf(c_3471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xc,sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xc,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3459,c_73]) ).
tcf(c_3472,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xc,sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xc,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3459,c_78]) ).
tcf(c_3473,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xc,sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xc,sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3459,c_71]) ).
tcf(c_3533,plain,
( aElement0(sdtpldt0(xx,xy))
| ~ aElement0(xv)
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_80,c_1095]) ).
tcf(c_3534,plain,
aElement0(sdtpldt0(xx,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_3533,c_55,c_53]) ).
tcf(c_3535,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xx,xy),X0) = sdtpldt0(X0,sdtpldt0(xx,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3534,c_79]) ).
tcf(c_3536,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xx,xy),X0) = sdtasdt0(X0,sdtpldt0(xx,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3534,c_72]) ).
tcf(c_3537,plain,
sdtasdt0(sz00,sdtpldt0(xx,xy)) = sz00,
inference(superposition,[status(thm)],[c_3534,c_83]) ).
tcf(c_3538,plain,
sdtasdt0(sdtpldt0(xx,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_3534,c_82]) ).
tcf(c_3539,plain,
sdtpldt0(sz00,sdtpldt0(xx,xy)) = sdtpldt0(xx,xy),
inference(superposition,[status(thm)],[c_3534,c_77]) ).
tcf(c_3540,plain,
sdtpldt0(sdtpldt0(xx,xy),sz00) = sdtpldt0(xx,xy),
inference(superposition,[status(thm)],[c_3534,c_76]) ).
tcf(c_3541,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xx,xy),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xx,xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3534,c_74]) ).
tcf(c_3542,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xx,xy))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xx,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3534,c_73]) ).
tcf(c_3543,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xx,xy)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xx,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3534,c_78]) ).
tcf(c_3544,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xx,xy)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xx,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3534,c_71]) ).
tcf(c_3573,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xx,xy))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3537,c_64]) ).
tcf(c_3579,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xx,xy)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xx,xy)) ),
inference(superposition,[status(thm)],[c_3538,c_68]) ).
tcf(c_3581,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xx,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_3579,c_84,c_3534]) ).
tcf(c_3583,plain,
( ( sdtasdt0(sdtpldt0(xx,xy),sK4(sdtpldt0(xx,xy),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xx,xy)) ),
inference(superposition,[status(thm)],[c_3581,c_70]) ).
tcf(c_3584,plain,
( aElement0(sK4(sdtpldt0(xx,xy),sz00))
| ~ aElement0(sdtpldt0(xx,xy)) ),
inference(superposition,[status(thm)],[c_3581,c_69]) ).
tcf(c_3585,plain,
aElement0(sK4(sdtpldt0(xx,xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3584,c_3534]) ).
tcf(c_3586,plain,
sdtasdt0(sdtpldt0(xx,xy),sK4(sdtpldt0(xx,xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3583,c_3534]) ).
tcf(c_3590,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xx,xy),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xx,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3585,c_79]) ).
tcf(c_3591,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xx,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3585,c_72]) ).
tcf(c_3592,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xx,xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3585,c_83]) ).
tcf(c_3593,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3585,c_82]) ).
tcf(c_3594,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xx,xy),sz00)) = sK4(sdtpldt0(xx,xy),sz00),
inference(superposition,[status(thm)],[c_3585,c_77]) ).
tcf(c_3595,plain,
sdtpldt0(sK4(sdtpldt0(xx,xy),sz00),sz00) = sK4(sdtpldt0(xx,xy),sz00),
inference(superposition,[status(thm)],[c_3585,c_76]) ).
tcf(c_3596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xx,xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3585,c_74]) ).
tcf(c_3597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xx,xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xx,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3585,c_73]) ).
tcf(c_3598,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xx,xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xx,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3585,c_78]) ).
tcf(c_3599,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xx,xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xx,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3585,c_71]) ).
tcf(c_3672,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xc,xy),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1721,c_64]) ).
tcf(c_3678,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,xy),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_1722,c_68]) ).
tcf(c_3680,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,xy),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3678,c_84,c_1717]) ).
tcf(c_3682,plain,
( ( sdtasdt0(sK4(sK4(xc,xy),sz00),sK4(sK4(sK4(xc,xy),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_3680,c_70]) ).
tcf(c_3683,plain,
( aElement0(sK4(sK4(sK4(xc,xy),sz00),sz00))
| ~ aElement0(sK4(sK4(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_3680,c_69]) ).
tcf(c_3684,plain,
aElement0(sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3683,c_1717]) ).
tcf(c_3685,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),sK4(sK4(sK4(xc,xy),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3682,c_1717]) ).
tcf(c_3686,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xc,xy),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xc,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3684,c_79]) ).
tcf(c_3687,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xc,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3684,c_72]) ).
tcf(c_3688,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xc,xy),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3684,c_83]) ).
tcf(c_3689,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3684,c_82]) ).
tcf(c_3690,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xc,xy),sz00),sz00)) = sK4(sK4(sK4(xc,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_3684,c_77]) ).
tcf(c_3691,plain,
sdtpldt0(sK4(sK4(sK4(xc,xy),sz00),sz00),sz00) = sK4(sK4(sK4(xc,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_3684,c_76]) ).
tcf(c_3692,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xc,xy),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3684,c_74]) ).
tcf(c_3693,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xc,xy),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3684,c_73]) ).
tcf(c_3694,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xc,xy),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3684,c_78]) ).
tcf(c_3695,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xc,xy),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3684,c_71]) ).
tcf(c_3718,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xc,xx),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2083,c_64]) ).
tcf(c_3724,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,xx),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_2084,c_68]) ).
tcf(c_3726,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,xx),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3724,c_84,c_2074]) ).
tcf(c_3735,plain,
( ( sdtasdt0(sK4(sK4(xc,xx),sz00),sK4(sK4(sK4(xc,xx),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_3726,c_70]) ).
tcf(c_3736,plain,
( aElement0(sK4(sK4(sK4(xc,xx),sz00),sz00))
| ~ aElement0(sK4(sK4(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_3726,c_69]) ).
tcf(c_3737,plain,
aElement0(sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3736,c_2074]) ).
tcf(c_3738,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),sK4(sK4(sK4(xc,xx),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3735,c_2074]) ).
tcf(c_3739,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xc,xx),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xc,xx),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3737,c_79]) ).
tcf(c_3740,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xc,xx),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3737,c_72]) ).
tcf(c_3741,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xc,xx),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3737,c_83]) ).
tcf(c_3742,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3737,c_82]) ).
tcf(c_3743,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xc,xx),sz00),sz00)) = sK4(sK4(sK4(xc,xx),sz00),sz00),
inference(superposition,[status(thm)],[c_3737,c_77]) ).
tcf(c_3744,plain,
sdtpldt0(sK4(sK4(sK4(xc,xx),sz00),sz00),sz00) = sK4(sK4(sK4(xc,xx),sz00),sz00),
inference(superposition,[status(thm)],[c_3737,c_76]) ).
tcf(c_3745,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xc,xx),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3737,c_74]) ).
tcf(c_3746,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xc,xx),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3737,c_73]) ).
tcf(c_3747,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xc,xx),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3737,c_78]) ).
tcf(c_3748,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xc,xx),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3737,c_71]) ).
tcf(c_3786,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(sz00,sz00),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2181,c_64]) ).
tcf(c_3792,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(sz00,sz00),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(sz00,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_2182,c_68]) ).
tcf(c_3794,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(sz00,sz00),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3792,c_84,c_2166]) ).
tcf(c_3796,plain,
( ( sdtasdt0(sK4(sK4(sz00,sz00),sz00),sK4(sK4(sK4(sz00,sz00),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(sz00,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3794,c_70]) ).
tcf(c_3797,plain,
( aElement0(sK4(sK4(sK4(sz00,sz00),sz00),sz00))
| ~ aElement0(sK4(sK4(sz00,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3794,c_69]) ).
tcf(c_3798,plain,
aElement0(sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3797,c_2166]) ).
tcf(c_3799,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),sK4(sK4(sK4(sz00,sz00),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3796,c_2166]) ).
tcf(c_3800,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xc,xy)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,xy))
| ~ aElement0(sK4(sK4(xc,xy),sz00))
| ~ aElementOf0(sK2(sK4(xc,xy),X0),X0)
| ( sK2(sK4(xc,xy),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1718,c_64]) ).
tcf(c_3801,plain,
( ( sK4(xc,xy) = sz00 )
| ( sK4(sK4(xc,xy),sz00) = sz00 )
| ~ aElement0(sK4(xc,xy))
| ~ aElement0(sK4(sK4(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_1718,c_81]) ).
tcf(c_3804,plain,
( ( sK4(xc,xy) = sz00 )
| ( sK4(sK4(xc,xy),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3801,c_1206,c_1717]) ).
tcf(c_3807,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xc,xy)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(xc,xy),X0),X0)
| ( sK2(sK4(xc,xy),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3800,c_1206,c_1717]) ).
tcf(c_3832,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(sz00,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3798,c_79]) ).
tcf(c_3833,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(sz00,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3798,c_72]) ).
tcf(c_3834,plain,
sdtasdt0(sz00,sK4(sK4(sK4(sz00,sz00),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3798,c_83]) ).
tcf(c_3835,plain,
sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3798,c_82]) ).
tcf(c_3836,plain,
sdtpldt0(sz00,sK4(sK4(sK4(sz00,sz00),sz00),sz00)) = sK4(sK4(sK4(sz00,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_3798,c_77]) ).
tcf(c_3837,plain,
sdtpldt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),sz00) = sK4(sK4(sK4(sz00,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_3798,c_76]) ).
tcf(c_3838,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3798,c_74]) ).
tcf(c_3839,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(sz00,sz00),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(sz00,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3798,c_73]) ).
tcf(c_3840,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(sz00,sz00),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(sz00,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3798,c_78]) ).
tcf(c_3841,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(sz00,sz00),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(sz00,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3798,c_71]) ).
tcf(c_3871,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xy,sz00),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2366,c_64]) ).
tcf(c_3877,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xy,sz00),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xy,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_2367,c_68]) ).
tcf(c_3879,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xy,sz00),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3877,c_84,c_2328]) ).
tcf(c_3881,plain,
( ( sdtasdt0(sK4(sK4(xy,sz00),sz00),sK4(sK4(sK4(xy,sz00),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xy,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3879,c_70]) ).
tcf(c_3882,plain,
( aElement0(sK4(sK4(sK4(xy,sz00),sz00),sz00))
| ~ aElement0(sK4(sK4(xy,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3879,c_69]) ).
tcf(c_3883,plain,
aElement0(sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3882,c_2328]) ).
tcf(c_3884,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),sK4(sK4(sK4(xy,sz00),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3881,c_2328]) ).
tcf(c_3885,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xy,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3883,c_79]) ).
tcf(c_3886,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xy,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3883,c_72]) ).
tcf(c_3887,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xy,sz00),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3883,c_83]) ).
tcf(c_3888,plain,
sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3883,c_82]) ).
tcf(c_3889,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xy,sz00),sz00),sz00)) = sK4(sK4(sK4(xy,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_3883,c_77]) ).
tcf(c_3890,plain,
sdtpldt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),sz00) = sK4(sK4(sK4(xy,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_3883,c_76]) ).
tcf(c_3891,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xy,sz00),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3883,c_74]) ).
tcf(c_3892,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xy,sz00),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xy,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3883,c_73]) ).
tcf(c_3893,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xy,sz00),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xy,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3883,c_78]) ).
tcf(c_3894,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xy,sz00),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xy,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3883,c_71]) ).
tcf(c_3948,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xx,sz00),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2894,c_64]) ).
tcf(c_3954,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xx,sz00),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xx,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_2895,c_68]) ).
tcf(c_3956,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xx,sz00),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_3954,c_84,c_2890]) ).
tcf(c_3958,plain,
( ( sdtasdt0(sK4(sK4(xx,sz00),sz00),sK4(sK4(sK4(xx,sz00),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xx,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3956,c_70]) ).
tcf(c_3959,plain,
( aElement0(sK4(sK4(sK4(xx,sz00),sz00),sz00))
| ~ aElement0(sK4(sK4(xx,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3956,c_69]) ).
tcf(c_3960,plain,
aElement0(sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_3959,c_2890]) ).
tcf(c_3961,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),sK4(sK4(sK4(xx,sz00),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_3958,c_2890]) ).
tcf(c_3969,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xx,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3960,c_79]) ).
tcf(c_3970,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xx,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3960,c_72]) ).
tcf(c_3971,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xx,sz00),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_3960,c_83]) ).
tcf(c_3972,plain,
sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_3960,c_82]) ).
tcf(c_3973,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xx,sz00),sz00),sz00)) = sK4(sK4(sK4(xx,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_3960,c_77]) ).
tcf(c_3974,plain,
sdtpldt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),sz00) = sK4(sK4(sK4(xx,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_3960,c_76]) ).
tcf(c_3975,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xx,sz00),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3960,c_74]) ).
tcf(c_3976,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xx,sz00),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xx,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3960,c_73]) ).
tcf(c_3977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xx,sz00),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xx,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3960,c_78]) ).
tcf(c_3978,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xx,sz00),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xx,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3960,c_71]) ).
tcf(c_4124,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xv,sz00),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3255,c_64]) ).
tcf(c_4132,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xv,sz00),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xv,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3256,c_68]) ).
tcf(c_4134,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xv,sz00),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_4132,c_84,c_3214]) ).
tcf(c_4137,plain,
( ( sdtasdt0(sK4(sK4(xv,sz00),sz00),sK4(sK4(sK4(xv,sz00),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xv,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_4134,c_70]) ).
tcf(c_4138,plain,
( aElement0(sK4(sK4(sK4(xv,sz00),sz00),sz00))
| ~ aElement0(sK4(sK4(xv,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_4134,c_69]) ).
tcf(c_4139,plain,
aElement0(sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_4138,c_3214]) ).
tcf(c_4140,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),sK4(sK4(sK4(xv,sz00),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_4137,c_3214]) ).
tcf(c_4142,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xv,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4139,c_79]) ).
tcf(c_4143,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xv,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4139,c_72]) ).
tcf(c_4144,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xv,sz00),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_4139,c_83]) ).
tcf(c_4145,plain,
sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_4139,c_82]) ).
tcf(c_4146,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xv,sz00),sz00),sz00)) = sK4(sK4(sK4(xv,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_4139,c_77]) ).
tcf(c_4147,plain,
sdtpldt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),sz00) = sK4(sK4(sK4(xv,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_4139,c_76]) ).
tcf(c_4148,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xv,sz00),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4139,c_74]) ).
tcf(c_4149,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xv,sz00),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xv,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4139,c_73]) ).
tcf(c_4150,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xv,sz00),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xv,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4139,c_78]) ).
tcf(c_4151,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xv,sz00),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xv,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4139,c_71]) ).
tcf(c_4182,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xu,sz00),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3331,c_64]) ).
tcf(c_4189,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xu,sz00),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xu,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3332,c_68]) ).
tcf(c_4191,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xu,sz00),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_4189,c_84,c_3327]) ).
tcf(c_4194,plain,
( ( sdtasdt0(sK4(sK4(xu,sz00),sz00),sK4(sK4(sK4(xu,sz00),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xu,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_4191,c_70]) ).
tcf(c_4195,plain,
( aElement0(sK4(sK4(sK4(xu,sz00),sz00),sz00))
| ~ aElement0(sK4(sK4(xu,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_4191,c_69]) ).
tcf(c_4196,plain,
aElement0(sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_4195,c_3327]) ).
tcf(c_4197,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),sK4(sK4(sK4(xu,sz00),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_4194,c_3327]) ).
tcf(c_4199,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xu,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4196,c_79]) ).
tcf(c_4200,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xu,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4196,c_72]) ).
tcf(c_4201,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xu,sz00),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_4196,c_83]) ).
tcf(c_4202,plain,
sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_4196,c_82]) ).
tcf(c_4203,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xu,sz00),sz00),sz00)) = sK4(sK4(sK4(xu,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_4196,c_77]) ).
tcf(c_4204,plain,
sdtpldt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),sz00) = sK4(sK4(sK4(xu,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_4196,c_76]) ).
tcf(c_4205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xu,sz00),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4196,c_74]) ).
tcf(c_4206,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xu,sz00),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xu,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4196,c_73]) ).
tcf(c_4207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xu,sz00),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xu,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4196,c_78]) ).
tcf(c_4208,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xu,sz00),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xu,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4196,c_71]) ).
tcf(c_4273,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xz,sz00),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3395,c_64]) ).
tcf(c_4280,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xz,sz00),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xz,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3396,c_68]) ).
tcf(c_4282,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xz,sz00),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_4280,c_84,c_3391]) ).
tcf(c_4287,plain,
( ( sdtasdt0(sK4(sK4(xz,sz00),sz00),sK4(sK4(sK4(xz,sz00),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xz,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_4282,c_70]) ).
tcf(c_4288,plain,
( aElement0(sK4(sK4(sK4(xz,sz00),sz00),sz00))
| ~ aElement0(sK4(sK4(xz,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_4282,c_69]) ).
tcf(c_4289,plain,
aElement0(sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_4288,c_3391]) ).
tcf(c_4290,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),sK4(sK4(sK4(xz,sz00),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_4287,c_3391]) ).
tcf(c_4344,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xz,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4289,c_79]) ).
tcf(c_4345,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xz,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4289,c_72]) ).
tcf(c_4346,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xz,sz00),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_4289,c_83]) ).
tcf(c_4347,plain,
sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_4289,c_82]) ).
tcf(c_4348,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xz,sz00),sz00),sz00)) = sK4(sK4(sK4(xz,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_4289,c_77]) ).
tcf(c_4349,plain,
sdtpldt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),sz00) = sK4(sK4(sK4(xz,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_4289,c_76]) ).
tcf(c_4350,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xz,sz00),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4289,c_74]) ).
tcf(c_4351,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xz,sz00),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xz,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4289,c_73]) ).
tcf(c_4352,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xz,sz00),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xz,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4289,c_78]) ).
tcf(c_4353,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xz,sz00),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xz,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4289,c_71]) ).
tcf(c_4481,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xc,sz00),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3466,c_64]) ).
tcf(c_4488,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,sz00),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xc,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3467,c_68]) ).
tcf(c_4490,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,sz00),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_4488,c_84,c_3459]) ).
tcf(c_4493,plain,
( ( sdtasdt0(sK4(sK4(xc,sz00),sz00),sK4(sK4(sK4(xc,sz00),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xc,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_4490,c_70]) ).
tcf(c_4494,plain,
( aElement0(sK4(sK4(sK4(xc,sz00),sz00),sz00))
| ~ aElement0(sK4(sK4(xc,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_4490,c_69]) ).
tcf(c_4495,plain,
aElement0(sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_4494,c_3459]) ).
tcf(c_4496,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),sK4(sK4(sK4(xc,sz00),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_4493,c_3459]) ).
tcf(c_4498,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xc,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4495,c_79]) ).
tcf(c_4499,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xc,sz00),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4495,c_72]) ).
tcf(c_4500,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xc,sz00),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_4495,c_83]) ).
tcf(c_4501,plain,
sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_4495,c_82]) ).
tcf(c_4502,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xc,sz00),sz00),sz00)) = sK4(sK4(sK4(xc,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_4495,c_77]) ).
tcf(c_4503,plain,
sdtpldt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),sz00) = sK4(sK4(sK4(xc,sz00),sz00),sz00),
inference(superposition,[status(thm)],[c_4495,c_76]) ).
tcf(c_4504,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xc,sz00),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4495,c_74]) ).
tcf(c_4505,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xc,sz00),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4495,c_73]) ).
tcf(c_4506,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xc,sz00),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4495,c_78]) ).
tcf(c_4507,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xc,sz00),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xc,sz00),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4495,c_71]) ).
tcf(c_4663,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtpldt0(xx,xy),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3592,c_64]) ).
tcf(c_4669,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xx,xy),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtpldt0(xx,xy),sz00)) ),
inference(superposition,[status(thm)],[c_3593,c_68]) ).
tcf(c_4671,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xx,xy),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_4669,c_84,c_3585]) ).
tcf(c_4673,plain,
( ( sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtpldt0(xx,xy),sz00)) ),
inference(superposition,[status(thm)],[c_4671,c_70]) ).
tcf(c_4674,plain,
( aElement0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00))
| ~ aElement0(sK4(sdtpldt0(xx,xy),sz00)) ),
inference(superposition,[status(thm)],[c_4671,c_69]) ).
tcf(c_4675,plain,
aElement0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_4674,c_3585]) ).
tcf(c_4676,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_4673,c_3585]) ).
tcf(c_4677,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4675,c_79]) ).
tcf(c_4678,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4675,c_72]) ).
tcf(c_4679,plain,
sdtasdt0(sz00,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_4675,c_83]) ).
tcf(c_4680,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_4675,c_82]) ).
tcf(c_4681,plain,
sdtpldt0(sz00,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)) = sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_4675,c_77]) ).
tcf(c_4682,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),sz00) = sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_4675,c_76]) ).
tcf(c_4683,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4675,c_74]) ).
tcf(c_4684,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4675,c_73]) ).
tcf(c_4685,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4675,c_78]) ).
tcf(c_4686,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4675,c_71]) ).
tcf(c_4714,plain,
( ( sdtasdt0(xc,sK4(xc,sdtpldt0(xx,xy))) = sdtpldt0(xx,xy) )
| ~ aElement0(xc)
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_1186,c_70]) ).
tcf(c_4715,plain,
( aElement0(sK4(xc,sdtpldt0(xx,xy)))
| ~ aElement0(xc)
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_1186,c_69]) ).
tcf(c_4716,plain,
( aElement0(sK4(xc,sdtpldt0(xx,xy)))
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4715,c_49]) ).
tcf(c_4719,plain,
( ( sdtasdt0(xc,sK4(xc,sdtpldt0(xx,xy))) = sdtpldt0(xx,xy) )
| ~ aElement0(sdtpldt0(xu,xv)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4714,c_49]) ).
tcf(c_4727,plain,
sdtasdt0(xc,xz) = sdtasdt0(xz,xc),
inference(superposition,[status(thm)],[c_52,c_1220]) ).
tcf(c_4728,plain,
sdtasdt0(xc,xu) = sdtasdt0(xu,xc),
inference(superposition,[status(thm)],[c_53,c_1220]) ).
tcf(c_4729,plain,
sdtasdt0(xc,xv) = sdtasdt0(xv,xc),
inference(superposition,[status(thm)],[c_55,c_1220]) ).
tcf(c_4730,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xc) = sdtasdt0(xc,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1220]) ).
tcf(c_4731,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xc) = sdtasdt0(xc,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1220]) ).
tcf(c_4732,plain,
sdtasdt0(xc,sz00) = sdtasdt0(sz00,xc),
inference(superposition,[status(thm)],[c_84,c_1220]) ).
tcf(c_4733,plain,
sdtasdt0(sK4(sz00,sz00),xc) = sdtasdt0(xc,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1220]) ).
tcf(c_4734,plain,
sdtasdt0(xc,xx) = sdtasdt0(xx,xc),
inference(superposition,[status(thm)],[c_1040,c_1220]) ).
tcf(c_4735,plain,
sdtasdt0(xc,xy) = sdtasdt0(xy,xc),
inference(superposition,[status(thm)],[c_1047,c_1220]) ).
tcf(c_4736,plain,
sdtasdt0(sdtpldt0(xx,xy),xc) = sdtasdt0(xc,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1220]) ).
tcf(c_4737,plain,
sdtasdt0(sK4(xc,xx),xc) = sdtasdt0(xc,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1220]) ).
tcf(c_4738,plain,
sdtasdt0(sK4(xc,xy),xc) = sdtasdt0(xc,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1220]) ).
tcf(c_4739,plain,
sdtasdt0(sK4(xy,sz00),xc) = sdtasdt0(xc,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1220]) ).
tcf(c_4740,plain,
sdtasdt0(sK4(xx,sz00),xc) = sdtasdt0(xc,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1220]) ).
tcf(c_4741,plain,
sdtasdt0(sK4(xv,sz00),xc) = sdtasdt0(xc,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1220]) ).
tcf(c_4742,plain,
sdtasdt0(sK4(xu,sz00),xc) = sdtasdt0(xc,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1220]) ).
tcf(c_4743,plain,
sdtasdt0(sK4(xz,sz00),xc) = sdtasdt0(xc,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1220]) ).
tcf(c_4744,plain,
sdtasdt0(sK4(xc,sz00),xc) = sdtasdt0(xc,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1220]) ).
tcf(c_4745,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),xc) = sdtasdt0(xc,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1220]) ).
tcf(c_4746,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),xc) = sdtasdt0(xc,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1220]) ).
tcf(c_4747,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1220]) ).
tcf(c_4748,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1220]) ).
tcf(c_4749,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1220]) ).
tcf(c_4750,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1220]) ).
tcf(c_4751,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1220]) ).
tcf(c_4752,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1220]) ).
tcf(c_4753,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1220]) ).
tcf(c_4754,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1220]) ).
tcf(c_4755,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1220]) ).
tcf(c_4756,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1220]) ).
tcf(c_4757,plain,
sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1220]) ).
tcf(c_4758,plain,
sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1220]) ).
tcf(c_4759,plain,
sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1220]) ).
tcf(c_4760,plain,
sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1220]) ).
tcf(c_4761,plain,
sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1220]) ).
tcf(c_4762,plain,
sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1220]) ).
tcf(c_4763,plain,
sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1220]) ).
tcf(c_4764,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1220]) ).
tcf(c_4766,plain,
sdtasdt0(xv,xc) = xy,
inference(light_normalisation,[status(thm)],[c_4729,c_56]) ).
tcf(c_4767,plain,
sdtasdt0(xu,xc) = xx,
inference(light_normalisation,[status(thm)],[c_4728,c_54]) ).
tcf(c_4768,plain,
sdtasdt0(sK4(xc,sz00),xc) = sz00,
inference(light_normalisation,[status(thm)],[c_4744,c_1466]) ).
tcf(c_4769,plain,
sdtasdt0(sK4(xc,xy),xc) = xy,
inference(light_normalisation,[status(thm)],[c_4738,c_1467]) ).
tcf(c_4770,plain,
sdtasdt0(sK4(xc,xx),xc) = xx,
inference(light_normalisation,[status(thm)],[c_4737,c_1468]) ).
tcf(c_4881,plain,
( aElementOf0(xy,slsdtgt0(xv))
| ~ aElement0(xv)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_4766,c_68]) ).
tcf(c_4883,plain,
aElementOf0(xy,slsdtgt0(xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_4881,c_55,c_49]) ).
tcf(c_4885,plain,
( ( sdtasdt0(xv,sK4(xv,xy)) = xy )
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_4883,c_70]) ).
tcf(c_4886,plain,
( aElement0(sK4(xv,xy))
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_4883,c_69]) ).
tcf(c_4887,plain,
aElement0(sK4(xv,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_4886,c_55]) ).
tcf(c_4888,plain,
sdtasdt0(xv,sK4(xv,xy)) = xy,
inference(forward_subsumption_resolution,[status(thm)],[c_4885,c_55]) ).
tcf(c_4889,plain,
sdtasdt0(sK4(xv,xy),xc) = sdtasdt0(xc,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1220]) ).
tcf(c_4890,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xv,xy),X0) = sdtpldt0(X0,sK4(xv,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4887,c_79]) ).
tcf(c_4891,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xv,xy),X0) = sdtasdt0(X0,sK4(xv,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4887,c_72]) ).
tcf(c_4892,plain,
sdtasdt0(sz00,sK4(xv,xy)) = sz00,
inference(superposition,[status(thm)],[c_4887,c_83]) ).
tcf(c_4893,plain,
sdtasdt0(sK4(xv,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_4887,c_82]) ).
tcf(c_4894,plain,
sdtpldt0(sz00,sK4(xv,xy)) = sK4(xv,xy),
inference(superposition,[status(thm)],[c_4887,c_77]) ).
tcf(c_4895,plain,
sdtpldt0(sK4(xv,xy),sz00) = sK4(xv,xy),
inference(superposition,[status(thm)],[c_4887,c_76]) ).
tcf(c_4896,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xv,xy),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xv,xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4887,c_74]) ).
tcf(c_4897,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xv,xy))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xv,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4887,c_73]) ).
tcf(c_4898,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xv,xy)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xv,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4887,c_78]) ).
tcf(c_4899,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xv,xy)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xv,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4887,c_71]) ).
tcf(c_4991,plain,
( aElementOf0(xx,slsdtgt0(xu))
| ~ aElement0(xu)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_4767,c_68]) ).
tcf(c_4993,plain,
aElementOf0(xx,slsdtgt0(xu)),
inference(forward_subsumption_resolution,[status(thm)],[c_4991,c_53,c_49]) ).
tcf(c_4995,plain,
( ( sdtasdt0(xu,sK4(xu,xx)) = xx )
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_4993,c_70]) ).
tcf(c_4996,plain,
( aElement0(sK4(xu,xx))
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_4993,c_69]) ).
tcf(c_4997,plain,
aElement0(sK4(xu,xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_4996,c_53]) ).
tcf(c_4998,plain,
sdtasdt0(xu,sK4(xu,xx)) = xx,
inference(forward_subsumption_resolution,[status(thm)],[c_4995,c_53]) ).
tcf(c_5001,plain,
sdtasdt0(sK4(xu,xx),xc) = sdtasdt0(xc,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1220]) ).
tcf(c_5002,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xu,xx),X0) = sdtpldt0(X0,sK4(xu,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4997,c_79]) ).
tcf(c_5003,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xu,xx),X0) = sdtasdt0(X0,sK4(xu,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4997,c_72]) ).
tcf(c_5004,plain,
sdtasdt0(sz00,sK4(xu,xx)) = sz00,
inference(superposition,[status(thm)],[c_4997,c_83]) ).
tcf(c_5005,plain,
sdtasdt0(sK4(xu,xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_4997,c_82]) ).
tcf(c_5006,plain,
sdtpldt0(sz00,sK4(xu,xx)) = sK4(xu,xx),
inference(superposition,[status(thm)],[c_4997,c_77]) ).
tcf(c_5007,plain,
sdtpldt0(sK4(xu,xx),sz00) = sK4(xu,xx),
inference(superposition,[status(thm)],[c_4997,c_76]) ).
tcf(c_5008,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xu,xx),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xu,xx)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4997,c_74]) ).
tcf(c_5009,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xu,xx))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xu,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4997,c_73]) ).
tcf(c_5010,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xu,xx)) = sdtpldt0(X0,sdtpldt0(X1,sK4(xu,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4997,c_78]) ).
tcf(c_5011,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xu,xx)) = sdtasdt0(X0,sdtasdt0(X1,sK4(xu,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4997,c_71]) ).
tcf(c_5080,plain,
( ( xz = sz00 )
| ( xc = sz00 )
| ~ aElement0(xz)
| ~ aElement0(xc)
| ( sdtasdt0(xc,xz) != sz00 ) ),
inference(superposition,[status(thm)],[c_4727,c_81]) ).
tcf(c_5081,plain,
( aElementOf0(sdtasdt0(xc,xz),slsdtgt0(xz))
| ~ aElement0(xz)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_4727,c_68]) ).
tcf(c_5082,plain,
( aElement0(sdtasdt0(xc,xz))
| ~ aElement0(xz)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_4727,c_75]) ).
tcf(c_5083,plain,
aElement0(sdtasdt0(xc,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_5082,c_52,c_49]) ).
tcf(c_5084,plain,
aElementOf0(sdtasdt0(xc,xz),slsdtgt0(xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_5081,c_52,c_49]) ).
tcf(c_5085,plain,
( ( xz = sz00 )
| ( xc = sz00 )
| ( sdtasdt0(xc,xz) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5080,c_52,c_49]) ).
tcf(c_5089,plain,
sdtasdt0(sdtasdt0(xc,xz),xc) = sdtasdt0(xc,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1220]) ).
tcf(c_5090,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xc,xz),X0) = sdtpldt0(X0,sdtasdt0(xc,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_79]) ).
tcf(c_5091,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xc,xz),X0) = sdtasdt0(X0,sdtasdt0(xc,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_72]) ).
tcf(c_5092,plain,
sdtasdt0(sz00,sdtasdt0(xc,xz)) = sz00,
inference(superposition,[status(thm)],[c_5083,c_83]) ).
tcf(c_5093,plain,
sdtasdt0(sdtasdt0(xc,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_5083,c_82]) ).
tcf(c_5094,plain,
sdtpldt0(sz00,sdtasdt0(xc,xz)) = sdtasdt0(xc,xz),
inference(superposition,[status(thm)],[c_5083,c_77]) ).
tcf(c_5095,plain,
sdtpldt0(sdtasdt0(xc,xz),sz00) = sdtasdt0(xc,xz),
inference(superposition,[status(thm)],[c_5083,c_76]) ).
tcf(c_5096,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xc,xz),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xc,xz)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_74]) ).
tcf(c_5097,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xc,xz))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xc,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_73]) ).
tcf(c_5098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xc,xz)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xc,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_78]) ).
tcf(c_5099,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xc,xz)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xc,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_71]) ).
tcf(c_5215,plain,
( ( sdtasdt0(xz,sK4(xz,sdtasdt0(xc,xz))) = sdtasdt0(xc,xz) )
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_5084,c_70]) ).
tcf(c_5216,plain,
( aElement0(sK4(xz,sdtasdt0(xc,xz)))
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_5084,c_69]) ).
tcf(c_5217,plain,
aElement0(sK4(xz,sdtasdt0(xc,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_5216,c_52]) ).
tcf(c_5218,plain,
sdtasdt0(xz,sK4(xz,sdtasdt0(xc,xz))) = sdtasdt0(xc,xz),
inference(forward_subsumption_resolution,[status(thm)],[c_5215,c_52]) ).
tcf(c_5242,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xc,xx)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,xx))
| ~ aElement0(sK4(sK4(xc,xx),sz00))
| ~ aElementOf0(sK2(sK4(xc,xx),X0),X0)
| ( sK2(sK4(xc,xx),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2075,c_64]) ).
tcf(c_5243,plain,
( ( sK4(xc,xx) = sz00 )
| ( sK4(sK4(xc,xx),sz00) = sz00 )
| ~ aElement0(sK4(xc,xx))
| ~ aElement0(sK4(sK4(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_2075,c_81]) ).
tcf(c_5246,plain,
( ( sK4(xc,xx) = sz00 )
| ( sK4(sK4(xc,xx),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5243,c_1207,c_2074]) ).
tcf(c_5249,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xc,xx)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(xc,xx),X0),X0)
| ( sK2(sK4(xc,xx),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5242,c_1207,c_2074]) ).
tcf(c_5300,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),xc) = sdtasdt0(xc,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1220]) ).
tcf(c_5301,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xz,sdtasdt0(xc,xz)),X0) = sdtpldt0(X0,sK4(xz,sdtasdt0(xc,xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5217,c_79]) ).
tcf(c_5302,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),X0) = sdtasdt0(X0,sK4(xz,sdtasdt0(xc,xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5217,c_72]) ).
tcf(c_5303,plain,
sdtasdt0(sz00,sK4(xz,sdtasdt0(xc,xz))) = sz00,
inference(superposition,[status(thm)],[c_5217,c_83]) ).
tcf(c_5304,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5217,c_82]) ).
tcf(c_5305,plain,
sdtpldt0(sz00,sK4(xz,sdtasdt0(xc,xz))) = sK4(xz,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5217,c_77]) ).
tcf(c_5306,plain,
sdtpldt0(sK4(xz,sdtasdt0(xc,xz)),sz00) = sK4(xz,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5217,c_76]) ).
tcf(c_5307,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xz,sdtasdt0(xc,xz))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5217,c_74]) ).
tcf(c_5308,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xz,sdtasdt0(xc,xz)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xz,sdtasdt0(xc,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5217,c_73]) ).
tcf(c_5309,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xz,sdtasdt0(xc,xz))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xz,sdtasdt0(xc,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5217,c_78]) ).
tcf(c_5310,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xz,sdtasdt0(xc,xz))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xz,sdtasdt0(xc,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5217,c_71]) ).
tcf(c_5343,plain,
! [X0: $i] :
( ( slsdtgt0(xv) = X0 )
| ~ aElement0(xv)
| ~ aSet0(X0)
| ~ aElement0(sK4(xv,xy))
| ~ aElementOf0(sK2(xv,X0),X0)
| ( sK2(xv,X0) != xy ) ),
inference(superposition,[status(thm)],[c_4888,c_64]) ).
tcf(c_5344,plain,
( ( xv = sz00 )
| ( sK4(xv,xy) = sz00 )
| ~ aElement0(xv)
| ~ aElement0(sK4(xv,xy))
| ( xy != sz00 ) ),
inference(superposition,[status(thm)],[c_4888,c_81]) ).
tcf(c_5347,plain,
( ( xv = sz00 )
| ( sK4(xv,xy) = sz00 )
| ( xy != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5344,c_55,c_4887]) ).
tcf(c_5351,plain,
! [X0: $i] :
( ( slsdtgt0(xv) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xv,X0),X0)
| ( sK2(xv,X0) != xy ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5343,c_55,c_4887]) ).
tcf(c_5357,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xv,xy))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4892,c_64]) ).
tcf(c_5363,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xv,xy)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xv,xy)) ),
inference(superposition,[status(thm)],[c_4893,c_68]) ).
tcf(c_5365,plain,
aElementOf0(sz00,slsdtgt0(sK4(xv,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_5363,c_84,c_4887]) ).
tcf(c_5367,plain,
( ( sdtasdt0(sK4(xv,xy),sK4(sK4(xv,xy),sz00)) = sz00 )
| ~ aElement0(sK4(xv,xy)) ),
inference(superposition,[status(thm)],[c_5365,c_70]) ).
tcf(c_5368,plain,
( aElement0(sK4(sK4(xv,xy),sz00))
| ~ aElement0(sK4(xv,xy)) ),
inference(superposition,[status(thm)],[c_5365,c_69]) ).
tcf(c_5369,plain,
aElement0(sK4(sK4(xv,xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_5368,c_4887]) ).
tcf(c_5370,plain,
sdtasdt0(sK4(xv,xy),sK4(sK4(xv,xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5367,c_4887]) ).
tcf(c_5371,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),xc) = sdtasdt0(xc,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1220]) ).
tcf(c_5372,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xv,xy),sz00),X0) = sdtpldt0(X0,sK4(sK4(xv,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5369,c_79]) ).
tcf(c_5373,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xv,xy),sz00),X0) = sdtasdt0(X0,sK4(sK4(xv,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5369,c_72]) ).
tcf(c_5374,plain,
sdtasdt0(sz00,sK4(sK4(xv,xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_5369,c_83]) ).
tcf(c_5375,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_5369,c_82]) ).
tcf(c_5376,plain,
sdtpldt0(sz00,sK4(sK4(xv,xy),sz00)) = sK4(sK4(xv,xy),sz00),
inference(superposition,[status(thm)],[c_5369,c_77]) ).
tcf(c_5377,plain,
sdtpldt0(sK4(sK4(xv,xy),sz00),sz00) = sK4(sK4(xv,xy),sz00),
inference(superposition,[status(thm)],[c_5369,c_76]) ).
tcf(c_5378,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xv,xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xv,xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5369,c_74]) ).
tcf(c_5379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xv,xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xv,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5369,c_73]) ).
tcf(c_5380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xv,xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xv,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5369,c_78]) ).
tcf(c_5381,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xv,xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xv,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5369,c_71]) ).
tcf(c_5478,plain,
( ( xx = sz00 )
| ( xc = sz00 )
| ~ aElement0(xx)
| ~ aElement0(xc)
| ( sdtasdt0(xc,xx) != sz00 ) ),
inference(superposition,[status(thm)],[c_4734,c_81]) ).
tcf(c_5479,plain,
( aElementOf0(sdtasdt0(xc,xx),slsdtgt0(xx))
| ~ aElement0(xx)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_4734,c_68]) ).
tcf(c_5480,plain,
( aElement0(sdtasdt0(xc,xx))
| ~ aElement0(xx)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_4734,c_75]) ).
tcf(c_5481,plain,
aElement0(sdtasdt0(xc,xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_5480,c_1040,c_49]) ).
tcf(c_5482,plain,
aElementOf0(sdtasdt0(xc,xx),slsdtgt0(xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_5479,c_1040,c_49]) ).
tcf(c_5483,plain,
( ( xx = sz00 )
| ( xc = sz00 )
| ( sdtasdt0(xc,xx) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5478,c_1040,c_49]) ).
tcf(c_5497,plain,
sdtasdt0(sdtasdt0(xc,xx),xc) = sdtasdt0(xc,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1220]) ).
tcf(c_5498,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xc,xx),X0) = sdtpldt0(X0,sdtasdt0(xc,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5481,c_79]) ).
tcf(c_5499,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xc,xx),X0) = sdtasdt0(X0,sdtasdt0(xc,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5481,c_72]) ).
tcf(c_5500,plain,
sdtasdt0(sz00,sdtasdt0(xc,xx)) = sz00,
inference(superposition,[status(thm)],[c_5481,c_83]) ).
tcf(c_5501,plain,
sdtasdt0(sdtasdt0(xc,xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_5481,c_82]) ).
tcf(c_5502,plain,
sdtpldt0(sz00,sdtasdt0(xc,xx)) = sdtasdt0(xc,xx),
inference(superposition,[status(thm)],[c_5481,c_77]) ).
tcf(c_5503,plain,
sdtpldt0(sdtasdt0(xc,xx),sz00) = sdtasdt0(xc,xx),
inference(superposition,[status(thm)],[c_5481,c_76]) ).
tcf(c_5504,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xc,xx),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xc,xx)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5481,c_74]) ).
tcf(c_5505,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xc,xx))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5481,c_73]) ).
tcf(c_5506,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xc,xx)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5481,c_78]) ).
tcf(c_5507,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xc,xx)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5481,c_71]) ).
tcf(c_5540,plain,
( ( sdtasdt0(xx,sK4(xx,sdtasdt0(xc,xx))) = sdtasdt0(xc,xx) )
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_5482,c_70]) ).
tcf(c_5541,plain,
( aElement0(sK4(xx,sdtasdt0(xc,xx)))
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_5482,c_69]) ).
tcf(c_5542,plain,
aElement0(sK4(xx,sdtasdt0(xc,xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_5541,c_1040]) ).
tcf(c_5543,plain,
sdtasdt0(xx,sK4(xx,sdtasdt0(xc,xx))) = sdtasdt0(xc,xx),
inference(forward_subsumption_resolution,[status(thm)],[c_5540,c_1040]) ).
tcf(c_5544,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),xc) = sdtasdt0(xc,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1220]) ).
tcf(c_5545,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xx,sdtasdt0(xc,xx)),X0) = sdtpldt0(X0,sK4(xx,sdtasdt0(xc,xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5542,c_79]) ).
tcf(c_5546,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),X0) = sdtasdt0(X0,sK4(xx,sdtasdt0(xc,xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5542,c_72]) ).
tcf(c_5547,plain,
sdtasdt0(sz00,sK4(xx,sdtasdt0(xc,xx))) = sz00,
inference(superposition,[status(thm)],[c_5542,c_83]) ).
tcf(c_5548,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5542,c_82]) ).
tcf(c_5549,plain,
sdtpldt0(sz00,sK4(xx,sdtasdt0(xc,xx))) = sK4(xx,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5542,c_77]) ).
tcf(c_5550,plain,
sdtpldt0(sK4(xx,sdtasdt0(xc,xx)),sz00) = sK4(xx,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5542,c_76]) ).
tcf(c_5551,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xx,sdtasdt0(xc,xx))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5542,c_74]) ).
tcf(c_5552,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xx,sdtasdt0(xc,xx)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xx,sdtasdt0(xc,xx)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5542,c_73]) ).
tcf(c_5553,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xx,sdtasdt0(xc,xx))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xx,sdtasdt0(xc,xx)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5542,c_78]) ).
tcf(c_5554,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xx,sdtasdt0(xc,xx))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xx,sdtasdt0(xc,xx)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5542,c_71]) ).
tcf(c_5602,plain,
( ( xy = sz00 )
| ( xc = sz00 )
| ~ aElement0(xy)
| ~ aElement0(xc)
| ( sdtasdt0(xc,xy) != sz00 ) ),
inference(superposition,[status(thm)],[c_4735,c_81]) ).
tcf(c_5603,plain,
( aElementOf0(sdtasdt0(xc,xy),slsdtgt0(xy))
| ~ aElement0(xy)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_4735,c_68]) ).
tcf(c_5604,plain,
( aElement0(sdtasdt0(xc,xy))
| ~ aElement0(xy)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_4735,c_75]) ).
tcf(c_5605,plain,
aElement0(sdtasdt0(xc,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_5604,c_1047,c_49]) ).
tcf(c_5606,plain,
aElementOf0(sdtasdt0(xc,xy),slsdtgt0(xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_5603,c_1047,c_49]) ).
tcf(c_5607,plain,
( ( xy = sz00 )
| ( xc = sz00 )
| ( sdtasdt0(xc,xy) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5602,c_1047,c_49]) ).
tcf(c_5626,plain,
sdtasdt0(sdtasdt0(xc,xy),xc) = sdtasdt0(xc,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1220]) ).
tcf(c_5627,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xc,xy),X0) = sdtpldt0(X0,sdtasdt0(xc,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5605,c_79]) ).
tcf(c_5628,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xc,xy),X0) = sdtasdt0(X0,sdtasdt0(xc,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5605,c_72]) ).
tcf(c_5629,plain,
sdtasdt0(sz00,sdtasdt0(xc,xy)) = sz00,
inference(superposition,[status(thm)],[c_5605,c_83]) ).
tcf(c_5630,plain,
sdtasdt0(sdtasdt0(xc,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_5605,c_82]) ).
tcf(c_5631,plain,
sdtpldt0(sz00,sdtasdt0(xc,xy)) = sdtasdt0(xc,xy),
inference(superposition,[status(thm)],[c_5605,c_77]) ).
tcf(c_5632,plain,
sdtpldt0(sdtasdt0(xc,xy),sz00) = sdtasdt0(xc,xy),
inference(superposition,[status(thm)],[c_5605,c_76]) ).
tcf(c_5633,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xc,xy),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xc,xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5605,c_74]) ).
tcf(c_5634,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xc,xy))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5605,c_73]) ).
tcf(c_5635,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xc,xy)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5605,c_78]) ).
tcf(c_5636,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xc,xy)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5605,c_71]) ).
tcf(c_5738,plain,
( ( sdtasdt0(xy,sK4(xy,sdtasdt0(xc,xy))) = sdtasdt0(xc,xy) )
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_5606,c_70]) ).
tcf(c_5739,plain,
( aElement0(sK4(xy,sdtasdt0(xc,xy)))
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_5606,c_69]) ).
tcf(c_5740,plain,
aElement0(sK4(xy,sdtasdt0(xc,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_5739,c_1047]) ).
tcf(c_5741,plain,
sdtasdt0(xy,sK4(xy,sdtasdt0(xc,xy))) = sdtasdt0(xc,xy),
inference(forward_subsumption_resolution,[status(thm)],[c_5738,c_1047]) ).
tcf(c_5742,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),xc) = sdtasdt0(xc,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1220]) ).
tcf(c_5743,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xy,sdtasdt0(xc,xy)),X0) = sdtpldt0(X0,sK4(xy,sdtasdt0(xc,xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5740,c_79]) ).
tcf(c_5744,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),X0) = sdtasdt0(X0,sK4(xy,sdtasdt0(xc,xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5740,c_72]) ).
tcf(c_5745,plain,
sdtasdt0(sz00,sK4(xy,sdtasdt0(xc,xy))) = sz00,
inference(superposition,[status(thm)],[c_5740,c_83]) ).
tcf(c_5746,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5740,c_82]) ).
tcf(c_5747,plain,
sdtpldt0(sz00,sK4(xy,sdtasdt0(xc,xy))) = sK4(xy,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5740,c_77]) ).
tcf(c_5748,plain,
sdtpldt0(sK4(xy,sdtasdt0(xc,xy)),sz00) = sK4(xy,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5740,c_76]) ).
tcf(c_5749,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xy,sdtasdt0(xc,xy))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5740,c_74]) ).
tcf(c_5750,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xy,sdtasdt0(xc,xy)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xy,sdtasdt0(xc,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5740,c_73]) ).
tcf(c_5751,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xy,sdtasdt0(xc,xy))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xy,sdtasdt0(xc,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5740,c_78]) ).
tcf(c_5752,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xy,sdtasdt0(xc,xy))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xy,sdtasdt0(xc,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5740,c_71]) ).
tcf(c_5821,plain,
( aElementOf0(xy,slsdtgt0(sK4(xc,xy)))
| ~ aElement0(xc)
| ~ aElement0(sK4(xc,xy)) ),
inference(superposition,[status(thm)],[c_4769,c_68]) ).
tcf(c_5823,plain,
aElementOf0(xy,slsdtgt0(sK4(xc,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_5821,c_49,c_1206]) ).
tcf(c_5848,plain,
( ( sdtasdt0(sK4(xc,xy),sK4(sK4(xc,xy),xy)) = xy )
| ~ aElement0(sK4(xc,xy)) ),
inference(superposition,[status(thm)],[c_5823,c_70]) ).
tcf(c_5849,plain,
( aElement0(sK4(sK4(xc,xy),xy))
| ~ aElement0(sK4(xc,xy)) ),
inference(superposition,[status(thm)],[c_5823,c_69]) ).
tcf(c_5850,plain,
aElement0(sK4(sK4(xc,xy),xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_5849,c_1206]) ).
tcf(c_5851,plain,
sdtasdt0(sK4(xc,xy),sK4(sK4(xc,xy),xy)) = xy,
inference(forward_subsumption_resolution,[status(thm)],[c_5848,c_1206]) ).
tcf(c_5919,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),xc) = sdtasdt0(xc,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1220]) ).
tcf(c_5920,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xc,xy),xy),X0) = sdtpldt0(X0,sK4(sK4(xc,xy),xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5850,c_79]) ).
tcf(c_5921,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xc,xy),xy),X0) = sdtasdt0(X0,sK4(sK4(xc,xy),xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5850,c_72]) ).
tcf(c_5922,plain,
sdtasdt0(sz00,sK4(sK4(xc,xy),xy)) = sz00,
inference(superposition,[status(thm)],[c_5850,c_83]) ).
tcf(c_5923,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_5850,c_82]) ).
tcf(c_5924,plain,
sdtpldt0(sz00,sK4(sK4(xc,xy),xy)) = sK4(sK4(xc,xy),xy),
inference(superposition,[status(thm)],[c_5850,c_77]) ).
tcf(c_5925,plain,
sdtpldt0(sK4(sK4(xc,xy),xy),sz00) = sK4(sK4(xc,xy),xy),
inference(superposition,[status(thm)],[c_5850,c_76]) ).
tcf(c_5926,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xc,xy),xy),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xc,xy),xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5850,c_74]) ).
tcf(c_5927,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xc,xy),xy))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xc,xy),xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5850,c_73]) ).
tcf(c_5928,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xc,xy),xy)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xc,xy),xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5850,c_78]) ).
tcf(c_5929,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xc,xy),xy)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xc,xy),xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5850,c_71]) ).
tcf(c_5952,plain,
! [X0: $i] :
( ( slsdtgt0(xu) = X0 )
| ~ aElement0(xu)
| ~ aSet0(X0)
| ~ aElement0(sK4(xu,xx))
| ~ aElementOf0(sK2(xu,X0),X0)
| ( sK2(xu,X0) != xx ) ),
inference(superposition,[status(thm)],[c_4998,c_64]) ).
tcf(c_5953,plain,
( ( xu = sz00 )
| ( sK4(xu,xx) = sz00 )
| ~ aElement0(xu)
| ~ aElement0(sK4(xu,xx))
| ( xx != sz00 ) ),
inference(superposition,[status(thm)],[c_4998,c_81]) ).
tcf(c_5956,plain,
( ( xu = sz00 )
| ( sK4(xu,xx) = sz00 )
| ( xx != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5953,c_53,c_4997]) ).
tcf(c_5960,plain,
! [X0: $i] :
( ( slsdtgt0(xu) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(xu,X0),X0)
| ( sK2(xu,X0) != xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5952,c_53,c_4997]) ).
tcf(c_5966,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK4(xu,xx))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5004,c_64]) ).
tcf(c_5972,plain,
( aElementOf0(xx,slsdtgt0(sK4(xc,xx)))
| ~ aElement0(xc)
| ~ aElement0(sK4(xc,xx)) ),
inference(superposition,[status(thm)],[c_4770,c_68]) ).
tcf(c_5974,plain,
aElementOf0(xx,slsdtgt0(sK4(xc,xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_5972,c_49,c_1207]) ).
tcf(c_5976,plain,
( ( sdtasdt0(sK4(xc,xx),sK4(sK4(xc,xx),xx)) = xx )
| ~ aElement0(sK4(xc,xx)) ),
inference(superposition,[status(thm)],[c_5974,c_70]) ).
tcf(c_5977,plain,
( aElement0(sK4(sK4(xc,xx),xx))
| ~ aElement0(sK4(xc,xx)) ),
inference(superposition,[status(thm)],[c_5974,c_69]) ).
tcf(c_5978,plain,
aElement0(sK4(sK4(xc,xx),xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_5977,c_1207]) ).
tcf(c_5979,plain,
sdtasdt0(sK4(xc,xx),sK4(sK4(xc,xx),xx)) = xx,
inference(forward_subsumption_resolution,[status(thm)],[c_5976,c_1207]) ).
tcf(c_5980,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),xc) = sdtasdt0(xc,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1220]) ).
tcf(c_5981,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xc,xx),xx),X0) = sdtpldt0(X0,sK4(sK4(xc,xx),xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5978,c_79]) ).
tcf(c_5982,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xc,xx),xx),X0) = sdtasdt0(X0,sK4(sK4(xc,xx),xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5978,c_72]) ).
tcf(c_5983,plain,
sdtasdt0(sz00,sK4(sK4(xc,xx),xx)) = sz00,
inference(superposition,[status(thm)],[c_5978,c_83]) ).
tcf(c_5984,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_5978,c_82]) ).
tcf(c_5985,plain,
sdtpldt0(sz00,sK4(sK4(xc,xx),xx)) = sK4(sK4(xc,xx),xx),
inference(superposition,[status(thm)],[c_5978,c_77]) ).
tcf(c_5986,plain,
sdtpldt0(sK4(sK4(xc,xx),xx),sz00) = sK4(sK4(xc,xx),xx),
inference(superposition,[status(thm)],[c_5978,c_76]) ).
tcf(c_5987,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xc,xx),xx),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xc,xx),xx)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5978,c_74]) ).
tcf(c_5988,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xc,xx),xx))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xc,xx),xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5978,c_73]) ).
tcf(c_5989,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xc,xx),xx)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xc,xx),xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5978,c_78]) ).
tcf(c_5990,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xc,xx),xx)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xc,xx),xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5978,c_71]) ).
tcf(c_6028,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xu,xx)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xu,xx)) ),
inference(superposition,[status(thm)],[c_5005,c_68]) ).
tcf(c_6030,plain,
aElementOf0(sz00,slsdtgt0(sK4(xu,xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_6028,c_84,c_4997]) ).
tcf(c_6032,plain,
( ( sdtasdt0(sK4(xu,xx),sK4(sK4(xu,xx),sz00)) = sz00 )
| ~ aElement0(sK4(xu,xx)) ),
inference(superposition,[status(thm)],[c_6030,c_70]) ).
tcf(c_6033,plain,
( aElement0(sK4(sK4(xu,xx),sz00))
| ~ aElement0(sK4(xu,xx)) ),
inference(superposition,[status(thm)],[c_6030,c_69]) ).
tcf(c_6034,plain,
aElement0(sK4(sK4(xu,xx),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6033,c_4997]) ).
tcf(c_6035,plain,
sdtasdt0(sK4(xu,xx),sK4(sK4(xu,xx),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6032,c_4997]) ).
tcf(c_6046,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),xc) = sdtasdt0(xc,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1220]) ).
tcf(c_6047,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xu,xx),sz00),X0) = sdtpldt0(X0,sK4(sK4(xu,xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6034,c_79]) ).
tcf(c_6048,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xu,xx),sz00),X0) = sdtasdt0(X0,sK4(sK4(xu,xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6034,c_72]) ).
tcf(c_6049,plain,
sdtasdt0(sz00,sK4(sK4(xu,xx),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6034,c_83]) ).
tcf(c_6050,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6034,c_82]) ).
tcf(c_6051,plain,
sdtpldt0(sz00,sK4(sK4(xu,xx),sz00)) = sK4(sK4(xu,xx),sz00),
inference(superposition,[status(thm)],[c_6034,c_77]) ).
tcf(c_6052,plain,
sdtpldt0(sK4(sK4(xu,xx),sz00),sz00) = sK4(sK4(xu,xx),sz00),
inference(superposition,[status(thm)],[c_6034,c_76]) ).
tcf(c_6053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xu,xx),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xu,xx),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6034,c_74]) ).
tcf(c_6054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xu,xx),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xu,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6034,c_73]) ).
tcf(c_6055,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xu,xx),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xu,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6034,c_78]) ).
tcf(c_6056,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xu,xx),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xu,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6034,c_71]) ).
tcf(c_6112,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xc,xz))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5092,c_64]) ).
tcf(c_6123,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xc,xz)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xc,xz)) ),
inference(superposition,[status(thm)],[c_5093,c_68]) ).
tcf(c_6125,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xc,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_6123,c_84,c_5083]) ).
tcf(c_6168,plain,
( ( sdtasdt0(sdtasdt0(xc,xz),sK4(sdtasdt0(xc,xz),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xc,xz)) ),
inference(superposition,[status(thm)],[c_6125,c_70]) ).
tcf(c_6169,plain,
( aElement0(sK4(sdtasdt0(xc,xz),sz00))
| ~ aElement0(sdtasdt0(xc,xz)) ),
inference(superposition,[status(thm)],[c_6125,c_69]) ).
tcf(c_6170,plain,
aElement0(sK4(sdtasdt0(xc,xz),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6169,c_5083]) ).
tcf(c_6171,plain,
sdtasdt0(sdtasdt0(xc,xz),sK4(sdtasdt0(xc,xz),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6168,c_5083]) ).
tcf(c_6177,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1220]) ).
tcf(c_6178,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xc,xz),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xc,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6170,c_79]) ).
tcf(c_6179,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xc,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6170,c_72]) ).
tcf(c_6180,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xc,xz),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6170,c_83]) ).
tcf(c_6181,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6170,c_82]) ).
tcf(c_6182,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xc,xz),sz00)) = sK4(sdtasdt0(xc,xz),sz00),
inference(superposition,[status(thm)],[c_6170,c_77]) ).
tcf(c_6183,plain,
sdtpldt0(sK4(sdtasdt0(xc,xz),sz00),sz00) = sK4(sdtasdt0(xc,xz),sz00),
inference(superposition,[status(thm)],[c_6170,c_76]) ).
tcf(c_6184,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xc,xz),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6170,c_74]) ).
tcf(c_6185,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xc,xz),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xc,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6170,c_73]) ).
tcf(c_6186,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xc,xz),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xc,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6170,c_78]) ).
tcf(c_6187,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xc,xz),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xc,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6170,c_71]) ).
tcf(c_6238,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xc,xx))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5500,c_64]) ).
tcf(c_6255,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xc,xx)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xc,xx)) ),
inference(superposition,[status(thm)],[c_5501,c_68]) ).
tcf(c_6257,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xc,xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_6255,c_84,c_5481]) ).
tcf(c_6359,plain,
( ( sdtasdt0(sdtasdt0(xc,xx),sK4(sdtasdt0(xc,xx),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xc,xx)) ),
inference(superposition,[status(thm)],[c_6257,c_70]) ).
tcf(c_6360,plain,
( aElement0(sK4(sdtasdt0(xc,xx),sz00))
| ~ aElement0(sdtasdt0(xc,xx)) ),
inference(superposition,[status(thm)],[c_6257,c_69]) ).
tcf(c_6361,plain,
aElement0(sK4(sdtasdt0(xc,xx),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6360,c_5481]) ).
tcf(c_6362,plain,
sdtasdt0(sdtasdt0(xc,xx),sK4(sdtasdt0(xc,xx),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6359,c_5481]) ).
tcf(c_6363,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1220]) ).
tcf(c_6364,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xc,xx),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xc,xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6361,c_79]) ).
tcf(c_6365,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xc,xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6361,c_72]) ).
tcf(c_6366,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xc,xx),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6361,c_83]) ).
tcf(c_6367,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6361,c_82]) ).
tcf(c_6368,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xc,xx),sz00)) = sK4(sdtasdt0(xc,xx),sz00),
inference(superposition,[status(thm)],[c_6361,c_77]) ).
tcf(c_6369,plain,
sdtpldt0(sK4(sdtasdt0(xc,xx),sz00),sz00) = sK4(sdtasdt0(xc,xx),sz00),
inference(superposition,[status(thm)],[c_6361,c_76]) ).
tcf(c_6370,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xc,xx),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6361,c_74]) ).
tcf(c_6371,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xc,xx),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6361,c_73]) ).
tcf(c_6372,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xc,xx),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6361,c_78]) ).
tcf(c_6373,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xc,xx),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6361,c_71]) ).
tcf(c_6411,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xc,xy))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5629,c_64]) ).
tcf(c_6417,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xc,xy)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xc,xy)) ),
inference(superposition,[status(thm)],[c_5630,c_68]) ).
tcf(c_6419,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xc,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_6417,c_84,c_5605]) ).
tcf(c_6421,plain,
( ( sdtasdt0(sdtasdt0(xc,xy),sK4(sdtasdt0(xc,xy),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xc,xy)) ),
inference(superposition,[status(thm)],[c_6419,c_70]) ).
tcf(c_6422,plain,
( aElement0(sK4(sdtasdt0(xc,xy),sz00))
| ~ aElement0(sdtasdt0(xc,xy)) ),
inference(superposition,[status(thm)],[c_6419,c_69]) ).
tcf(c_6423,plain,
aElement0(sK4(sdtasdt0(xc,xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6422,c_5605]) ).
tcf(c_6424,plain,
sdtasdt0(sdtasdt0(xc,xy),sK4(sdtasdt0(xc,xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6421,c_5605]) ).
tcf(c_6425,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1220]) ).
tcf(c_6426,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xc,xy),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xc,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6423,c_79]) ).
tcf(c_6427,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xc,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6423,c_72]) ).
tcf(c_6428,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xc,xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6423,c_83]) ).
tcf(c_6429,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6423,c_82]) ).
tcf(c_6430,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xc,xy),sz00)) = sK4(sdtasdt0(xc,xy),sz00),
inference(superposition,[status(thm)],[c_6423,c_77]) ).
tcf(c_6431,plain,
sdtpldt0(sK4(sdtasdt0(xc,xy),sz00),sz00) = sK4(sdtasdt0(xc,xy),sz00),
inference(superposition,[status(thm)],[c_6423,c_76]) ).
tcf(c_6432,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xc,xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6423,c_74]) ).
tcf(c_6433,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xc,xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6423,c_73]) ).
tcf(c_6434,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xc,xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6423,c_78]) ).
tcf(c_6435,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xc,xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6423,c_71]) ).
tcf(c_6505,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xz,sdtasdt0(xc,xz)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5303,c_64]) ).
tcf(c_6511,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xz,sdtasdt0(xc,xz))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xz,sdtasdt0(xc,xz))) ),
inference(superposition,[status(thm)],[c_5304,c_68]) ).
tcf(c_6513,plain,
aElementOf0(sz00,slsdtgt0(sK4(xz,sdtasdt0(xc,xz)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6511,c_84,c_5217]) ).
tcf(c_6515,plain,
( ( sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)) = sz00 )
| ~ aElement0(sK4(xz,sdtasdt0(xc,xz))) ),
inference(superposition,[status(thm)],[c_6513,c_70]) ).
tcf(c_6516,plain,
( aElement0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00))
| ~ aElement0(sK4(xz,sdtasdt0(xc,xz))) ),
inference(superposition,[status(thm)],[c_6513,c_69]) ).
tcf(c_6517,plain,
aElement0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6516,c_5217]) ).
tcf(c_6518,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6515,c_5217]) ).
tcf(c_6519,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1220]) ).
tcf(c_6520,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6517,c_79]) ).
tcf(c_6521,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6517,c_72]) ).
tcf(c_6522,plain,
sdtasdt0(sz00,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6517,c_83]) ).
tcf(c_6523,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6517,c_82]) ).
tcf(c_6524,plain,
sdtpldt0(sz00,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)) = sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),
inference(superposition,[status(thm)],[c_6517,c_77]) ).
tcf(c_6525,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),sz00) = sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),
inference(superposition,[status(thm)],[c_6517,c_76]) ).
tcf(c_6526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6517,c_74]) ).
tcf(c_6527,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6517,c_73]) ).
tcf(c_6528,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6517,c_78]) ).
tcf(c_6529,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6517,c_71]) ).
tcf(c_6575,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(sz00,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(sz00,sz00))
| ~ aElement0(sK4(sK4(sz00,sz00),sz00))
| ~ aElementOf0(sK2(sK4(sz00,sz00),X0),X0)
| ( sK2(sK4(sz00,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2167,c_64]) ).
tcf(c_6576,plain,
( ( sK4(sz00,sz00) = sz00 )
| ( sK4(sK4(sz00,sz00),sz00) = sz00 )
| ~ aElement0(sK4(sz00,sz00))
| ~ aElement0(sK4(sK4(sz00,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_2167,c_81]) ).
tcf(c_6579,plain,
( ( sK4(sz00,sz00) = sz00 )
| ( sK4(sK4(sz00,sz00),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6576,c_1271,c_2166]) ).
tcf(c_6582,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(sz00,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(sz00,sz00),X0),X0)
| ( sK2(sK4(sz00,sz00),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6575,c_1271,c_2166]) ).
tcf(c_6588,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xv,xy),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5374,c_64]) ).
tcf(c_6594,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xv,xy),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xv,xy),sz00)) ),
inference(superposition,[status(thm)],[c_5375,c_68]) ).
tcf(c_6596,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xv,xy),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_6594,c_84,c_5369]) ).
tcf(c_6598,plain,
( ( sdtasdt0(sK4(sK4(xv,xy),sz00),sK4(sK4(sK4(xv,xy),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xv,xy),sz00)) ),
inference(superposition,[status(thm)],[c_6596,c_70]) ).
tcf(c_6599,plain,
( aElement0(sK4(sK4(sK4(xv,xy),sz00),sz00))
| ~ aElement0(sK4(sK4(xv,xy),sz00)) ),
inference(superposition,[status(thm)],[c_6596,c_69]) ).
tcf(c_6600,plain,
aElement0(sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6599,c_5369]) ).
tcf(c_6601,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),sK4(sK4(sK4(xv,xy),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6598,c_5369]) ).
tcf(c_6602,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1220]) ).
tcf(c_6603,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xv,xy),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xv,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6600,c_79]) ).
tcf(c_6604,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xv,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6600,c_72]) ).
tcf(c_6605,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xv,xy),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6600,c_83]) ).
tcf(c_6606,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6600,c_82]) ).
tcf(c_6607,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xv,xy),sz00),sz00)) = sK4(sK4(sK4(xv,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_6600,c_77]) ).
tcf(c_6608,plain,
sdtpldt0(sK4(sK4(sK4(xv,xy),sz00),sz00),sz00) = sK4(sK4(sK4(xv,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_6600,c_76]) ).
tcf(c_6609,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xv,xy),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6600,c_74]) ).
tcf(c_6610,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xv,xy),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xv,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6600,c_73]) ).
tcf(c_6611,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xv,xy),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xv,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6600,c_78]) ).
tcf(c_6612,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xv,xy),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xv,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6600,c_71]) ).
tcf(c_6684,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xx,sdtasdt0(xc,xx)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5547,c_64]) ).
tcf(c_6690,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xx,sdtasdt0(xc,xx))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xx,sdtasdt0(xc,xx))) ),
inference(superposition,[status(thm)],[c_5548,c_68]) ).
tcf(c_6692,plain,
aElementOf0(sz00,slsdtgt0(sK4(xx,sdtasdt0(xc,xx)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6690,c_84,c_5542]) ).
tcf(c_6694,plain,
( ( sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)) = sz00 )
| ~ aElement0(sK4(xx,sdtasdt0(xc,xx))) ),
inference(superposition,[status(thm)],[c_6692,c_70]) ).
tcf(c_6695,plain,
( aElement0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00))
| ~ aElement0(sK4(xx,sdtasdt0(xc,xx))) ),
inference(superposition,[status(thm)],[c_6692,c_69]) ).
tcf(c_6696,plain,
aElement0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6695,c_5542]) ).
tcf(c_6697,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6694,c_5542]) ).
tcf(c_6698,plain,
sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1220]) ).
tcf(c_6699,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6696,c_79]) ).
tcf(c_6700,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6696,c_72]) ).
tcf(c_6701,plain,
sdtasdt0(sz00,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6696,c_83]) ).
tcf(c_6702,plain,
sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6696,c_82]) ).
tcf(c_6703,plain,
sdtpldt0(sz00,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)) = sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),
inference(superposition,[status(thm)],[c_6696,c_77]) ).
tcf(c_6704,plain,
sdtpldt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),sz00) = sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),
inference(superposition,[status(thm)],[c_6696,c_76]) ).
tcf(c_6705,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6696,c_74]) ).
tcf(c_6706,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6696,c_73]) ).
tcf(c_6707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6696,c_78]) ).
tcf(c_6708,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6696,c_71]) ).
tcf(c_6733,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xy,sdtasdt0(xc,xy)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5745,c_64]) ).
tcf(c_6739,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xy,sdtasdt0(xc,xy))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xy,sdtasdt0(xc,xy))) ),
inference(superposition,[status(thm)],[c_5746,c_68]) ).
tcf(c_6741,plain,
aElementOf0(sz00,slsdtgt0(sK4(xy,sdtasdt0(xc,xy)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6739,c_84,c_5740]) ).
tcf(c_6743,plain,
( ( sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)) = sz00 )
| ~ aElement0(sK4(xy,sdtasdt0(xc,xy))) ),
inference(superposition,[status(thm)],[c_6741,c_70]) ).
tcf(c_6744,plain,
( aElement0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00))
| ~ aElement0(sK4(xy,sdtasdt0(xc,xy))) ),
inference(superposition,[status(thm)],[c_6741,c_69]) ).
tcf(c_6745,plain,
aElement0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6744,c_5740]) ).
tcf(c_6746,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6743,c_5740]) ).
tcf(c_6835,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1220]) ).
tcf(c_6836,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6745,c_79]) ).
tcf(c_6837,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6745,c_72]) ).
tcf(c_6838,plain,
sdtasdt0(sz00,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6745,c_83]) ).
tcf(c_6839,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6745,c_82]) ).
tcf(c_6840,plain,
sdtpldt0(sz00,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)) = sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),
inference(superposition,[status(thm)],[c_6745,c_77]) ).
tcf(c_6841,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),sz00) = sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),
inference(superposition,[status(thm)],[c_6745,c_76]) ).
tcf(c_6842,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6745,c_74]) ).
tcf(c_6843,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6745,c_73]) ).
tcf(c_6844,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6745,c_78]) ).
tcf(c_6845,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6745,c_71]) ).
tcf(c_6934,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xy,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xy,sz00))
| ~ aElement0(sK4(sK4(xy,sz00),sz00))
| ~ aElementOf0(sK2(sK4(xy,sz00),X0),X0)
| ( sK2(sK4(xy,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2329,c_64]) ).
tcf(c_6935,plain,
( ( sK4(xy,sz00) = sz00 )
| ( sK4(sK4(xy,sz00),sz00) = sz00 )
| ~ aElement0(sK4(xy,sz00))
| ~ aElement0(sK4(sK4(xy,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_2329,c_81]) ).
tcf(c_6938,plain,
( ( sK4(xy,sz00) = sz00 )
| ( sK4(sK4(xy,sz00),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6935,c_1274,c_2328]) ).
tcf(c_6941,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xy,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(xy,sz00),X0),X0)
| ( sK2(sK4(xy,sz00),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6934,c_1274,c_2328]) ).
tcf(c_6947,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xc,xy),xy))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5922,c_64]) ).
tcf(c_6953,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,xy),xy)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xc,xy),xy)) ),
inference(superposition,[status(thm)],[c_5923,c_68]) ).
tcf(c_6955,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,xy),xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_6953,c_84,c_5850]) ).
tcf(c_6978,plain,
( ( sdtasdt0(sK4(sK4(xc,xy),xy),sK4(sK4(sK4(xc,xy),xy),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xc,xy),xy)) ),
inference(superposition,[status(thm)],[c_6955,c_70]) ).
tcf(c_6979,plain,
( aElement0(sK4(sK4(sK4(xc,xy),xy),sz00))
| ~ aElement0(sK4(sK4(xc,xy),xy)) ),
inference(superposition,[status(thm)],[c_6955,c_69]) ).
tcf(c_6980,plain,
aElement0(sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_6979,c_5850]) ).
tcf(c_6981,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),sK4(sK4(sK4(xc,xy),xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6978,c_5850]) ).
tcf(c_6982,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1220]) ).
tcf(c_6983,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xc,xy),xy),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xc,xy),xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6980,c_79]) ).
tcf(c_6984,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xc,xy),xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6980,c_72]) ).
tcf(c_6985,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xc,xy),xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_6980,c_83]) ).
tcf(c_6986,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_6980,c_82]) ).
tcf(c_6987,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xc,xy),xy),sz00)) = sK4(sK4(sK4(xc,xy),xy),sz00),
inference(superposition,[status(thm)],[c_6980,c_77]) ).
tcf(c_6988,plain,
sdtpldt0(sK4(sK4(sK4(xc,xy),xy),sz00),sz00) = sK4(sK4(sK4(xc,xy),xy),sz00),
inference(superposition,[status(thm)],[c_6980,c_76]) ).
tcf(c_6989,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xc,xy),xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6980,c_74]) ).
tcf(c_6990,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xc,xy),xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,xy),xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6980,c_73]) ).
tcf(c_6991,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xc,xy),xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,xy),xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6980,c_78]) ).
tcf(c_6992,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xc,xy),xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xc,xy),xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6980,c_71]) ).
tcf(c_7015,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xc,xx),xx))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5983,c_64]) ).
tcf(c_7021,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,xx),xx)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xc,xx),xx)) ),
inference(superposition,[status(thm)],[c_5984,c_68]) ).
tcf(c_7023,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xc,xx),xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_7021,c_84,c_5978]) ).
tcf(c_7025,plain,
( ( sdtasdt0(sK4(sK4(xc,xx),xx),sK4(sK4(sK4(xc,xx),xx),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xc,xx),xx)) ),
inference(superposition,[status(thm)],[c_7023,c_70]) ).
tcf(c_7026,plain,
( aElement0(sK4(sK4(sK4(xc,xx),xx),sz00))
| ~ aElement0(sK4(sK4(xc,xx),xx)) ),
inference(superposition,[status(thm)],[c_7023,c_69]) ).
tcf(c_7027,plain,
aElement0(sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7026,c_5978]) ).
tcf(c_7028,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),sK4(sK4(sK4(xc,xx),xx),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7025,c_5978]) ).
tcf(c_7040,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1220]) ).
tcf(c_7041,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xc,xx),xx),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xc,xx),xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7027,c_79]) ).
tcf(c_7042,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xc,xx),xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7027,c_72]) ).
tcf(c_7043,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xc,xx),xx),sz00)) = sz00,
inference(superposition,[status(thm)],[c_7027,c_83]) ).
tcf(c_7044,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7027,c_82]) ).
tcf(c_7045,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xc,xx),xx),sz00)) = sK4(sK4(sK4(xc,xx),xx),sz00),
inference(superposition,[status(thm)],[c_7027,c_77]) ).
tcf(c_7046,plain,
sdtpldt0(sK4(sK4(sK4(xc,xx),xx),sz00),sz00) = sK4(sK4(sK4(xc,xx),xx),sz00),
inference(superposition,[status(thm)],[c_7027,c_76]) ).
tcf(c_7047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xc,xx),xx),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7027,c_74]) ).
tcf(c_7048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xc,xx),xx),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,xx),xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7027,c_73]) ).
tcf(c_7049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xc,xx),xx),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xc,xx),xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7027,c_78]) ).
tcf(c_7050,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xc,xx),xx),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xc,xx),xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7027,c_71]) ).
tcf(c_7097,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xu,xx),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6049,c_64]) ).
tcf(c_7103,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xu,xx),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xu,xx),sz00)) ),
inference(superposition,[status(thm)],[c_6050,c_68]) ).
tcf(c_7105,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xu,xx),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_7103,c_84,c_6034]) ).
tcf(c_7107,plain,
( ( sdtasdt0(sK4(sK4(xu,xx),sz00),sK4(sK4(sK4(xu,xx),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xu,xx),sz00)) ),
inference(superposition,[status(thm)],[c_7105,c_70]) ).
tcf(c_7108,plain,
( aElement0(sK4(sK4(sK4(xu,xx),sz00),sz00))
| ~ aElement0(sK4(sK4(xu,xx),sz00)) ),
inference(superposition,[status(thm)],[c_7105,c_69]) ).
tcf(c_7109,plain,
aElement0(sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7108,c_6034]) ).
tcf(c_7110,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),sK4(sK4(sK4(xu,xx),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7107,c_6034]) ).
tcf(c_7111,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1220]) ).
tcf(c_7112,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xu,xx),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xu,xx),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7109,c_79]) ).
tcf(c_7113,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xu,xx),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7109,c_72]) ).
tcf(c_7114,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xu,xx),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_7109,c_83]) ).
tcf(c_7115,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7109,c_82]) ).
tcf(c_7116,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xu,xx),sz00),sz00)) = sK4(sK4(sK4(xu,xx),sz00),sz00),
inference(superposition,[status(thm)],[c_7109,c_77]) ).
tcf(c_7117,plain,
sdtpldt0(sK4(sK4(sK4(xu,xx),sz00),sz00),sz00) = sK4(sK4(sK4(xu,xx),sz00),sz00),
inference(superposition,[status(thm)],[c_7109,c_76]) ).
tcf(c_7118,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xu,xx),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7109,c_74]) ).
tcf(c_7119,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xu,xx),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xu,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7109,c_73]) ).
tcf(c_7120,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xu,xx),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xu,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7109,c_78]) ).
tcf(c_7121,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xu,xx),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xu,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7109,c_71]) ).
tcf(c_7155,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xc,xz),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6180,c_64]) ).
tcf(c_7161,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xc,xz),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xc,xz),sz00)) ),
inference(superposition,[status(thm)],[c_6181,c_68]) ).
tcf(c_7163,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xc,xz),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_7161,c_84,c_6170]) ).
tcf(c_7165,plain,
( ( sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xc,xz),sz00)) ),
inference(superposition,[status(thm)],[c_7163,c_70]) ).
tcf(c_7166,plain,
( aElement0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xc,xz),sz00)) ),
inference(superposition,[status(thm)],[c_7163,c_69]) ).
tcf(c_7167,plain,
aElement0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7166,c_6170]) ).
tcf(c_7168,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7165,c_6170]) ).
tcf(c_7169,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1220]) ).
tcf(c_7170,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7167,c_79]) ).
tcf(c_7171,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7167,c_72]) ).
tcf(c_7172,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_7167,c_83]) ).
tcf(c_7173,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7167,c_82]) ).
tcf(c_7174,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)) = sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_7167,c_77]) ).
tcf(c_7175,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_7167,c_76]) ).
tcf(c_7176,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7167,c_74]) ).
tcf(c_7177,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7167,c_73]) ).
tcf(c_7178,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7167,c_78]) ).
tcf(c_7179,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7167,c_71]) ).
tcf(c_7398,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xc,xx),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6366,c_64]) ).
tcf(c_7404,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xc,xx),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_6367,c_68]) ).
tcf(c_7406,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xc,xx),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_7404,c_84,c_6361]) ).
tcf(c_7408,plain,
( ( sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_7406,c_70]) ).
tcf(c_7409,plain,
( aElement0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_7406,c_69]) ).
tcf(c_7410,plain,
aElement0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7409,c_6361]) ).
tcf(c_7411,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7408,c_6361]) ).
tcf(c_7412,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1220]) ).
tcf(c_7413,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7410,c_79]) ).
tcf(c_7414,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7410,c_72]) ).
tcf(c_7415,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_7410,c_83]) ).
tcf(c_7416,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7410,c_82]) ).
tcf(c_7417,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)) = sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),
inference(superposition,[status(thm)],[c_7410,c_77]) ).
tcf(c_7418,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),
inference(superposition,[status(thm)],[c_7410,c_76]) ).
tcf(c_7419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7410,c_74]) ).
tcf(c_7420,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7410,c_73]) ).
tcf(c_7421,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7410,c_78]) ).
tcf(c_7422,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7410,c_71]) ).
tcf(c_7485,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xc,xy),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6428,c_64]) ).
tcf(c_7491,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xc,xy),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_6429,c_68]) ).
tcf(c_7493,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xc,xy),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_7491,c_84,c_6423]) ).
tcf(c_7513,plain,
( ( sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_7493,c_70]) ).
tcf(c_7514,plain,
( aElement0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_7493,c_69]) ).
tcf(c_7515,plain,
aElement0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7514,c_6423]) ).
tcf(c_7516,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7513,c_6423]) ).
tcf(c_7517,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1220]) ).
tcf(c_7518,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7515,c_79]) ).
tcf(c_7519,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7515,c_72]) ).
tcf(c_7520,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_7515,c_83]) ).
tcf(c_7521,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7515,c_82]) ).
tcf(c_7522,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)) = sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_7515,c_77]) ).
tcf(c_7523,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_7515,c_76]) ).
tcf(c_7524,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7515,c_74]) ).
tcf(c_7525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7515,c_73]) ).
tcf(c_7526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7515,c_78]) ).
tcf(c_7527,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7515,c_71]) ).
tcf(c_7662,plain,
sdtasdt0(xz,xu) = sdtasdt0(xu,xz),
inference(superposition,[status(thm)],[c_53,c_1221]) ).
tcf(c_7663,plain,
sdtasdt0(xz,xv) = sdtasdt0(xv,xz),
inference(superposition,[status(thm)],[c_55,c_1221]) ).
tcf(c_7664,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xz) = sdtasdt0(xz,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1221]) ).
tcf(c_7665,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xz) = sdtasdt0(xz,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1221]) ).
tcf(c_7666,plain,
sdtasdt0(xz,sz00) = sdtasdt0(sz00,xz),
inference(superposition,[status(thm)],[c_84,c_1221]) ).
tcf(c_7667,plain,
sdtasdt0(sK4(sz00,sz00),xz) = sdtasdt0(xz,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1221]) ).
tcf(c_7668,plain,
sdtasdt0(xx,xz) = sdtasdt0(xz,xx),
inference(superposition,[status(thm)],[c_1040,c_1221]) ).
tcf(c_7669,plain,
sdtasdt0(xy,xz) = sdtasdt0(xz,xy),
inference(superposition,[status(thm)],[c_1047,c_1221]) ).
tcf(c_7670,plain,
sdtasdt0(sdtpldt0(xx,xy),xz) = sdtasdt0(xz,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1221]) ).
tcf(c_7671,plain,
sdtasdt0(sK4(xc,xx),xz) = sdtasdt0(xz,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1221]) ).
tcf(c_7672,plain,
sdtasdt0(sK4(xc,xy),xz) = sdtasdt0(xz,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1221]) ).
tcf(c_7673,plain,
sdtasdt0(sK4(xy,sz00),xz) = sdtasdt0(xz,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1221]) ).
tcf(c_7674,plain,
sdtasdt0(sK4(xx,sz00),xz) = sdtasdt0(xz,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1221]) ).
tcf(c_7675,plain,
sdtasdt0(sK4(xv,sz00),xz) = sdtasdt0(xz,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1221]) ).
tcf(c_7676,plain,
sdtasdt0(sK4(xu,sz00),xz) = sdtasdt0(xz,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1221]) ).
tcf(c_7677,plain,
sdtasdt0(sK4(xz,sz00),xz) = sdtasdt0(xz,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1221]) ).
tcf(c_7678,plain,
sdtasdt0(sK4(xc,sz00),xz) = sdtasdt0(xz,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1221]) ).
tcf(c_7679,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),xz) = sdtasdt0(xz,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1221]) ).
tcf(c_7680,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),xz) = sdtasdt0(xz,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1221]) ).
tcf(c_7681,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1221]) ).
tcf(c_7682,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1221]) ).
tcf(c_7683,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1221]) ).
tcf(c_7684,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1221]) ).
tcf(c_7685,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1221]) ).
tcf(c_7686,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1221]) ).
tcf(c_7687,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1221]) ).
tcf(c_7688,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1221]) ).
tcf(c_7689,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1221]) ).
tcf(c_7690,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1221]) ).
tcf(c_7691,plain,
sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1221]) ).
tcf(c_7692,plain,
sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1221]) ).
tcf(c_7693,plain,
sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1221]) ).
tcf(c_7694,plain,
sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1221]) ).
tcf(c_7695,plain,
sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1221]) ).
tcf(c_7696,plain,
sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1221]) ).
tcf(c_7697,plain,
sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1221]) ).
tcf(c_7698,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1221]) ).
tcf(c_7699,plain,
sdtasdt0(sK4(xv,xy),xz) = sdtasdt0(xz,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1221]) ).
tcf(c_7700,plain,
sdtasdt0(sK4(xu,xx),xz) = sdtasdt0(xz,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1221]) ).
tcf(c_7701,plain,
sdtasdt0(sdtasdt0(xc,xz),xz) = sdtasdt0(xz,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1221]) ).
tcf(c_7702,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),xz) = sdtasdt0(xz,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1221]) ).
tcf(c_7703,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),xz) = sdtasdt0(xz,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1221]) ).
tcf(c_7704,plain,
sdtasdt0(sdtasdt0(xc,xx),xz) = sdtasdt0(xz,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1221]) ).
tcf(c_7705,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),xz) = sdtasdt0(xz,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1221]) ).
tcf(c_7706,plain,
sdtasdt0(sdtasdt0(xc,xy),xz) = sdtasdt0(xz,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1221]) ).
tcf(c_7707,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),xz) = sdtasdt0(xz,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1221]) ).
tcf(c_7708,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),xz) = sdtasdt0(xz,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1221]) ).
tcf(c_7709,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),xz) = sdtasdt0(xz,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1221]) ).
tcf(c_7710,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),xz) = sdtasdt0(xz,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1221]) ).
tcf(c_7711,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1221]) ).
tcf(c_7712,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1221]) ).
tcf(c_7713,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1221]) ).
tcf(c_7714,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1221]) ).
tcf(c_7715,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1221]) ).
tcf(c_7716,plain,
sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1221]) ).
tcf(c_7717,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1221]) ).
tcf(c_7718,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1221]) ).
tcf(c_7719,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1221]) ).
tcf(c_7720,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1221]) ).
tcf(c_7721,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1221]) ).
tcf(c_7722,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1221]) ).
tcf(c_7723,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1221]) ).
tcf(c_7725,plain,
sdtasdt0(sK4(xz,sz00),xz) = sz00,
inference(light_normalisation,[status(thm)],[c_7677,c_1465]) ).
tcf(c_7726,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),xz) = sdtasdt0(xc,xz),
inference(light_normalisation,[status(thm)],[c_7702,c_5218]) ).
tcf(c_7733,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xx,xz),
inference(demodulation,[status(thm)],[c_58,c_7668]) ).
tcf(c_7958,plain,
( ( xu = sz00 )
| ( xz = sz00 )
| ~ aElement0(xu)
| ~ aElement0(xz)
| ( sdtasdt0(xu,xz) != sz00 ) ),
inference(superposition,[status(thm)],[c_7662,c_81]) ).
tcf(c_7959,plain,
( aElementOf0(sdtasdt0(xu,xz),slsdtgt0(xz))
| ~ aElement0(xu)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_7662,c_68]) ).
tcf(c_7960,plain,
( aElement0(sdtasdt0(xu,xz))
| ~ aElement0(xu)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_7662,c_75]) ).
tcf(c_7961,plain,
aElement0(sdtasdt0(xu,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_7960,c_53,c_52]) ).
tcf(c_7962,plain,
aElementOf0(sdtasdt0(xu,xz),slsdtgt0(xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_7959,c_53,c_52]) ).
tcf(c_7963,plain,
( ( xu = sz00 )
| ( xz = sz00 )
| ( sdtasdt0(xu,xz) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7958,c_53,c_52]) ).
tcf(c_7969,plain,
sdtasdt0(sdtasdt0(xu,xz),xz) = sdtasdt0(xz,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1221]) ).
tcf(c_7970,plain,
sdtasdt0(sdtasdt0(xu,xz),xc) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1220]) ).
tcf(c_7971,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xu,xz),X0) = sdtpldt0(X0,sdtasdt0(xu,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7961,c_79]) ).
tcf(c_7972,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xu,xz),X0) = sdtasdt0(X0,sdtasdt0(xu,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7961,c_72]) ).
tcf(c_7973,plain,
sdtasdt0(sz00,sdtasdt0(xu,xz)) = sz00,
inference(superposition,[status(thm)],[c_7961,c_83]) ).
tcf(c_7974,plain,
sdtasdt0(sdtasdt0(xu,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_7961,c_82]) ).
tcf(c_7975,plain,
sdtpldt0(sz00,sdtasdt0(xu,xz)) = sdtasdt0(xu,xz),
inference(superposition,[status(thm)],[c_7961,c_77]) ).
tcf(c_7976,plain,
sdtpldt0(sdtasdt0(xu,xz),sz00) = sdtasdt0(xu,xz),
inference(superposition,[status(thm)],[c_7961,c_76]) ).
tcf(c_7977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xu,xz),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xu,xz)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7961,c_74]) ).
tcf(c_7978,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xu,xz))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xu,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7961,c_73]) ).
tcf(c_7979,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xu,xz)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xu,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7961,c_78]) ).
tcf(c_7980,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xu,xz)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xu,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7961,c_71]) ).
tcf(c_8078,plain,
( ( sdtasdt0(xz,sK4(xz,sdtasdt0(xu,xz))) = sdtasdt0(xu,xz) )
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_7962,c_70]) ).
tcf(c_8079,plain,
( aElement0(sK4(xz,sdtasdt0(xu,xz)))
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_7962,c_69]) ).
tcf(c_8080,plain,
aElement0(sK4(xz,sdtasdt0(xu,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_8079,c_52]) ).
tcf(c_8081,plain,
sdtasdt0(xz,sK4(xz,sdtasdt0(xu,xz))) = sdtasdt0(xu,xz),
inference(forward_subsumption_resolution,[status(thm)],[c_8078,c_52]) ).
tcf(c_8107,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),xz) = sdtasdt0(xz,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1221]) ).
tcf(c_8108,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),xc) = sdtasdt0(xc,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1220]) ).
tcf(c_8109,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xz,sdtasdt0(xu,xz)),X0) = sdtpldt0(X0,sK4(xz,sdtasdt0(xu,xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8080,c_79]) ).
tcf(c_8110,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),X0) = sdtasdt0(X0,sK4(xz,sdtasdt0(xu,xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8080,c_72]) ).
tcf(c_8111,plain,
sdtasdt0(sz00,sK4(xz,sdtasdt0(xu,xz))) = sz00,
inference(superposition,[status(thm)],[c_8080,c_83]) ).
tcf(c_8112,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8080,c_82]) ).
tcf(c_8113,plain,
sdtpldt0(sz00,sK4(xz,sdtasdt0(xu,xz))) = sK4(xz,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_8080,c_77]) ).
tcf(c_8114,plain,
sdtpldt0(sK4(xz,sdtasdt0(xu,xz)),sz00) = sK4(xz,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_8080,c_76]) ).
tcf(c_8115,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xz,sdtasdt0(xu,xz))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8080,c_74]) ).
tcf(c_8116,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xz,sdtasdt0(xu,xz)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xz,sdtasdt0(xu,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8080,c_73]) ).
tcf(c_8117,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xz,sdtasdt0(xu,xz))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xz,sdtasdt0(xu,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8080,c_78]) ).
tcf(c_8118,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xz,sdtasdt0(xu,xz))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xz,sdtasdt0(xu,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8080,c_71]) ).
tcf(c_8119,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),xz) = sdtasdt0(xu,xz),
inference(light_normalisation,[status(thm)],[c_8107,c_8081]) ).
tcf(c_8142,plain,
( ( xv = sz00 )
| ( xz = sz00 )
| ~ aElement0(xv)
| ~ aElement0(xz)
| ( sdtasdt0(xz,xv) != sz00 ) ),
inference(superposition,[status(thm)],[c_7663,c_81]) ).
tcf(c_8143,plain,
( aElementOf0(sdtasdt0(xz,xv),slsdtgt0(xv))
| ~ aElement0(xv)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_7663,c_68]) ).
tcf(c_8144,plain,
( aElement0(sdtasdt0(xz,xv))
| ~ aElement0(xv)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_7663,c_75]) ).
tcf(c_8145,plain,
aElement0(sdtasdt0(xz,xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_8144,c_55,c_52]) ).
tcf(c_8146,plain,
aElementOf0(sdtasdt0(xz,xv),slsdtgt0(xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_8143,c_55,c_52]) ).
tcf(c_8147,plain,
( ( xv = sz00 )
| ( xz = sz00 )
| ( sdtasdt0(xz,xv) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8142,c_55,c_52]) ).
tcf(c_8151,plain,
sdtasdt0(sdtasdt0(xz,xv),xz) = sdtasdt0(xz,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1221]) ).
tcf(c_8152,plain,
sdtasdt0(sdtasdt0(xz,xv),xc) = sdtasdt0(xc,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1220]) ).
tcf(c_8153,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xz,xv),X0) = sdtpldt0(X0,sdtasdt0(xz,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8145,c_79]) ).
tcf(c_8154,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xz,xv),X0) = sdtasdt0(X0,sdtasdt0(xz,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8145,c_72]) ).
tcf(c_8155,plain,
sdtasdt0(sz00,sdtasdt0(xz,xv)) = sz00,
inference(superposition,[status(thm)],[c_8145,c_83]) ).
tcf(c_8156,plain,
sdtasdt0(sdtasdt0(xz,xv),sz00) = sz00,
inference(superposition,[status(thm)],[c_8145,c_82]) ).
tcf(c_8157,plain,
sdtpldt0(sz00,sdtasdt0(xz,xv)) = sdtasdt0(xz,xv),
inference(superposition,[status(thm)],[c_8145,c_77]) ).
tcf(c_8158,plain,
sdtpldt0(sdtasdt0(xz,xv),sz00) = sdtasdt0(xz,xv),
inference(superposition,[status(thm)],[c_8145,c_76]) ).
tcf(c_8159,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xz,xv),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xz,xv)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8145,c_74]) ).
tcf(c_8160,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xz,xv))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xz,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8145,c_73]) ).
tcf(c_8161,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xz,xv)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xz,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8145,c_78]) ).
tcf(c_8162,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xz,xv)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xz,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8145,c_71]) ).
tcf(c_8239,plain,
( ( sdtasdt0(xv,sK4(xv,sdtasdt0(xz,xv))) = sdtasdt0(xz,xv) )
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_8146,c_70]) ).
tcf(c_8240,plain,
( aElement0(sK4(xv,sdtasdt0(xz,xv)))
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_8146,c_69]) ).
tcf(c_8241,plain,
aElement0(sK4(xv,sdtasdt0(xz,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_8240,c_55]) ).
tcf(c_8242,plain,
sdtasdt0(xv,sK4(xv,sdtasdt0(xz,xv))) = sdtasdt0(xz,xv),
inference(forward_subsumption_resolution,[status(thm)],[c_8239,c_55]) ).
tcf(c_8266,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),xz) = sdtasdt0(xz,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1221]) ).
tcf(c_8267,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),xc) = sdtasdt0(xc,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1220]) ).
tcf(c_8268,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xv,sdtasdt0(xz,xv)),X0) = sdtpldt0(X0,sK4(xv,sdtasdt0(xz,xv))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8241,c_79]) ).
tcf(c_8269,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),X0) = sdtasdt0(X0,sK4(xv,sdtasdt0(xz,xv))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8241,c_72]) ).
tcf(c_8270,plain,
sdtasdt0(sz00,sK4(xv,sdtasdt0(xz,xv))) = sz00,
inference(superposition,[status(thm)],[c_8241,c_83]) ).
tcf(c_8271,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8241,c_82]) ).
tcf(c_8272,plain,
sdtpldt0(sz00,sK4(xv,sdtasdt0(xz,xv))) = sK4(xv,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8241,c_77]) ).
tcf(c_8273,plain,
sdtpldt0(sK4(xv,sdtasdt0(xz,xv)),sz00) = sK4(xv,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8241,c_76]) ).
tcf(c_8274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xv,sdtasdt0(xz,xv))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8241,c_74]) ).
tcf(c_8275,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xv,sdtasdt0(xz,xv)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xv,sdtasdt0(xz,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8241,c_73]) ).
tcf(c_8276,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xv,sdtasdt0(xz,xv))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xv,sdtasdt0(xz,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8241,c_78]) ).
tcf(c_8277,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xv,sdtasdt0(xz,xv))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xv,sdtasdt0(xz,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8241,c_71]) ).
tcf(c_8395,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xu,xz))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7973,c_64]) ).
tcf(c_8401,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xu,xz)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_7974,c_68]) ).
tcf(c_8403,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xu,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_8401,c_84,c_7961]) ).
tcf(c_8405,plain,
( ( sdtasdt0(sdtasdt0(xu,xz),sK4(sdtasdt0(xu,xz),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_8403,c_70]) ).
tcf(c_8406,plain,
( aElement0(sK4(sdtasdt0(xu,xz),sz00))
| ~ aElement0(sdtasdt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_8403,c_69]) ).
tcf(c_8407,plain,
aElement0(sK4(sdtasdt0(xu,xz),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_8406,c_7961]) ).
tcf(c_8408,plain,
sdtasdt0(sdtasdt0(xu,xz),sK4(sdtasdt0(xu,xz),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_8405,c_7961]) ).
tcf(c_8488,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1221]) ).
tcf(c_8489,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1220]) ).
tcf(c_8490,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xu,xz),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xu,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8407,c_79]) ).
tcf(c_8491,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xu,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8407,c_72]) ).
tcf(c_8492,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xu,xz),sz00)) = sz00,
inference(superposition,[status(thm)],[c_8407,c_83]) ).
tcf(c_8493,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_8407,c_82]) ).
tcf(c_8494,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xu,xz),sz00)) = sK4(sdtasdt0(xu,xz),sz00),
inference(superposition,[status(thm)],[c_8407,c_77]) ).
tcf(c_8495,plain,
sdtpldt0(sK4(sdtasdt0(xu,xz),sz00),sz00) = sK4(sdtasdt0(xu,xz),sz00),
inference(superposition,[status(thm)],[c_8407,c_76]) ).
tcf(c_8496,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xu,xz),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8407,c_74]) ).
tcf(c_8497,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xu,xz),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xu,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8407,c_73]) ).
tcf(c_8498,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xu,xz),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xu,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8407,c_78]) ).
tcf(c_8499,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xu,xz),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xu,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8407,c_71]) ).
tcf(c_8686,plain,
( ( xz = sz00 )
| ( xx = sz00 )
| ~ aElement0(xz)
| ~ aElement0(xx)
| ( sdtasdt0(xx,xz) != sz00 ) ),
inference(superposition,[status(thm)],[c_7668,c_81]) ).
tcf(c_8687,plain,
( aElementOf0(sdtasdt0(xx,xz),slsdtgt0(xz))
| ~ aElement0(xz)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_7668,c_68]) ).
tcf(c_8688,plain,
( aElement0(sdtasdt0(xx,xz))
| ~ aElement0(xz)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_7668,c_75]) ).
tcf(c_8689,plain,
aElement0(sdtasdt0(xx,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_8688,c_52,c_1040]) ).
tcf(c_8690,plain,
aElementOf0(sdtasdt0(xx,xz),slsdtgt0(xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_8687,c_52,c_1040]) ).
tcf(c_8691,plain,
( ( xz = sz00 )
| ( xx = sz00 )
| ( sdtasdt0(xx,xz) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8686,c_52,c_1040]) ).
tcf(c_8695,plain,
sdtasdt0(sdtasdt0(xx,xz),xz) = sdtasdt0(xz,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1221]) ).
tcf(c_8696,plain,
sdtasdt0(sdtasdt0(xx,xz),xc) = sdtasdt0(xc,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1220]) ).
tcf(c_8697,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xx,xz),X0) = sdtpldt0(X0,sdtasdt0(xx,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8689,c_79]) ).
tcf(c_8698,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xx,xz),X0) = sdtasdt0(X0,sdtasdt0(xx,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8689,c_72]) ).
tcf(c_8699,plain,
sdtasdt0(sz00,sdtasdt0(xx,xz)) = sz00,
inference(superposition,[status(thm)],[c_8689,c_83]) ).
tcf(c_8700,plain,
sdtasdt0(sdtasdt0(xx,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_8689,c_82]) ).
tcf(c_8701,plain,
sdtpldt0(sz00,sdtasdt0(xx,xz)) = sdtasdt0(xx,xz),
inference(superposition,[status(thm)],[c_8689,c_77]) ).
tcf(c_8702,plain,
sdtpldt0(sdtasdt0(xx,xz),sz00) = sdtasdt0(xx,xz),
inference(superposition,[status(thm)],[c_8689,c_76]) ).
tcf(c_8703,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xx,xz),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xx,xz)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8689,c_74]) ).
tcf(c_8704,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xx,xz))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xx,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8689,c_73]) ).
tcf(c_8705,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xx,xz)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xx,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8689,c_78]) ).
tcf(c_8706,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xx,xz)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xx,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8689,c_71]) ).
tcf(c_8826,plain,
( ( sdtasdt0(xz,sK4(xz,sdtasdt0(xx,xz))) = sdtasdt0(xx,xz) )
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_8690,c_70]) ).
tcf(c_8827,plain,
( aElement0(sK4(xz,sdtasdt0(xx,xz)))
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_8690,c_69]) ).
tcf(c_8828,plain,
aElement0(sK4(xz,sdtasdt0(xx,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_8827,c_52]) ).
tcf(c_8829,plain,
sdtasdt0(xz,sK4(xz,sdtasdt0(xx,xz))) = sdtasdt0(xx,xz),
inference(forward_subsumption_resolution,[status(thm)],[c_8826,c_52]) ).
tcf(c_8830,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),xz) = sdtasdt0(xz,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1221]) ).
tcf(c_8831,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),xc) = sdtasdt0(xc,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1220]) ).
tcf(c_8832,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xz,sdtasdt0(xx,xz)),X0) = sdtpldt0(X0,sK4(xz,sdtasdt0(xx,xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8828,c_79]) ).
tcf(c_8833,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),X0) = sdtasdt0(X0,sK4(xz,sdtasdt0(xx,xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8828,c_72]) ).
tcf(c_8834,plain,
sdtasdt0(sz00,sK4(xz,sdtasdt0(xx,xz))) = sz00,
inference(superposition,[status(thm)],[c_8828,c_83]) ).
tcf(c_8835,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8828,c_82]) ).
tcf(c_8836,plain,
sdtpldt0(sz00,sK4(xz,sdtasdt0(xx,xz))) = sK4(xz,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8828,c_77]) ).
tcf(c_8837,plain,
sdtpldt0(sK4(xz,sdtasdt0(xx,xz)),sz00) = sK4(xz,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8828,c_76]) ).
tcf(c_8838,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xz,sdtasdt0(xx,xz))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8828,c_74]) ).
tcf(c_8839,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xz,sdtasdt0(xx,xz)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xz,sdtasdt0(xx,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8828,c_73]) ).
tcf(c_8840,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xz,sdtasdt0(xx,xz))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xz,sdtasdt0(xx,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8828,c_78]) ).
tcf(c_8841,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xz,sdtasdt0(xx,xz))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xz,sdtasdt0(xx,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8828,c_71]) ).
tcf(c_8842,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),xz) = sdtasdt0(xx,xz),
inference(light_normalisation,[status(thm)],[c_8830,c_8829]) ).
tcf(c_8951,plain,
( ( xz = sz00 )
| ( xy = sz00 )
| ~ aElement0(xz)
| ~ aElement0(xy)
| ( sdtasdt0(xy,xz) != sz00 ) ),
inference(superposition,[status(thm)],[c_7669,c_81]) ).
tcf(c_8952,plain,
( aElementOf0(sdtasdt0(xy,xz),slsdtgt0(xz))
| ~ aElement0(xz)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_7669,c_68]) ).
tcf(c_8953,plain,
( aElement0(sdtasdt0(xy,xz))
| ~ aElement0(xz)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_7669,c_75]) ).
tcf(c_8954,plain,
aElement0(sdtasdt0(xy,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_8953,c_52,c_1047]) ).
tcf(c_8955,plain,
aElementOf0(sdtasdt0(xy,xz),slsdtgt0(xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_8952,c_52,c_1047]) ).
tcf(c_8956,plain,
( ( xz = sz00 )
| ( xy = sz00 )
| ( sdtasdt0(xy,xz) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8951,c_52,c_1047]) ).
tcf(c_8989,plain,
sdtasdt0(sdtasdt0(xy,xz),xz) = sdtasdt0(xz,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1221]) ).
tcf(c_8990,plain,
sdtasdt0(sdtasdt0(xy,xz),xc) = sdtasdt0(xc,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1220]) ).
tcf(c_8991,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xy,xz),X0) = sdtpldt0(X0,sdtasdt0(xy,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8954,c_79]) ).
tcf(c_8992,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xy,xz),X0) = sdtasdt0(X0,sdtasdt0(xy,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8954,c_72]) ).
tcf(c_8993,plain,
sdtasdt0(sz00,sdtasdt0(xy,xz)) = sz00,
inference(superposition,[status(thm)],[c_8954,c_83]) ).
tcf(c_8994,plain,
sdtasdt0(sdtasdt0(xy,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_8954,c_82]) ).
tcf(c_8995,plain,
sdtpldt0(sz00,sdtasdt0(xy,xz)) = sdtasdt0(xy,xz),
inference(superposition,[status(thm)],[c_8954,c_77]) ).
tcf(c_8996,plain,
sdtpldt0(sdtasdt0(xy,xz),sz00) = sdtasdt0(xy,xz),
inference(superposition,[status(thm)],[c_8954,c_76]) ).
tcf(c_8997,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xy,xz),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xy,xz)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8954,c_74]) ).
tcf(c_8998,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xy,xz))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xy,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8954,c_73]) ).
tcf(c_8999,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xy,xz)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xy,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8954,c_78]) ).
tcf(c_9000,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xy,xz)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xy,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8954,c_71]) ).
tcf(c_9085,plain,
( ( sdtasdt0(xz,sK4(xz,sdtasdt0(xy,xz))) = sdtasdt0(xy,xz) )
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_8955,c_70]) ).
tcf(c_9086,plain,
( aElement0(sK4(xz,sdtasdt0(xy,xz)))
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_8955,c_69]) ).
tcf(c_9087,plain,
aElement0(sK4(xz,sdtasdt0(xy,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_9086,c_52]) ).
tcf(c_9088,plain,
sdtasdt0(xz,sK4(xz,sdtasdt0(xy,xz))) = sdtasdt0(xy,xz),
inference(forward_subsumption_resolution,[status(thm)],[c_9085,c_52]) ).
tcf(c_9089,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),xz) = sdtasdt0(xz,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1221]) ).
tcf(c_9090,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),xc) = sdtasdt0(xc,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1220]) ).
tcf(c_9091,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xz,sdtasdt0(xy,xz)),X0) = sdtpldt0(X0,sK4(xz,sdtasdt0(xy,xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9087,c_79]) ).
tcf(c_9092,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),X0) = sdtasdt0(X0,sK4(xz,sdtasdt0(xy,xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9087,c_72]) ).
tcf(c_9093,plain,
sdtasdt0(sz00,sK4(xz,sdtasdt0(xy,xz))) = sz00,
inference(superposition,[status(thm)],[c_9087,c_83]) ).
tcf(c_9094,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9087,c_82]) ).
tcf(c_9095,plain,
sdtpldt0(sz00,sK4(xz,sdtasdt0(xy,xz))) = sK4(xz,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_9087,c_77]) ).
tcf(c_9096,plain,
sdtpldt0(sK4(xz,sdtasdt0(xy,xz)),sz00) = sK4(xz,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_9087,c_76]) ).
tcf(c_9097,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xz,sdtasdt0(xy,xz))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9087,c_74]) ).
tcf(c_9098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xz,sdtasdt0(xy,xz)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xz,sdtasdt0(xy,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9087,c_73]) ).
tcf(c_9099,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xz,sdtasdt0(xy,xz))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xz,sdtasdt0(xy,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9087,c_78]) ).
tcf(c_9100,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xz,sdtasdt0(xy,xz))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xz,sdtasdt0(xy,xz)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9087,c_71]) ).
tcf(c_9101,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),xz) = sdtasdt0(xy,xz),
inference(light_normalisation,[status(thm)],[c_9089,c_9088]) ).
tcf(c_9215,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xz,xv))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8155,c_64]) ).
tcf(c_9222,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xx,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xx,sz00))
| ~ aElement0(sK4(sK4(xx,sz00),sz00))
| ~ aElementOf0(sK2(sK4(xx,sz00),X0),X0)
| ( sK2(sK4(xx,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2891,c_64]) ).
tcf(c_9223,plain,
( ( sK4(xx,sz00) = sz00 )
| ( sK4(sK4(xx,sz00),sz00) = sz00 )
| ~ aElement0(sK4(xx,sz00))
| ~ aElement0(sK4(sK4(xx,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_2891,c_81]) ).
tcf(c_9226,plain,
( ( sK4(xx,sz00) = sz00 )
| ( sK4(sK4(xx,sz00),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9223,c_1277,c_2890]) ).
tcf(c_9229,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xx,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(xx,sz00),X0),X0)
| ( sK2(sK4(xx,sz00),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9222,c_1277,c_2890]) ).
tcf(c_9236,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xz,xv)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xz,xv)) ),
inference(superposition,[status(thm)],[c_8156,c_68]) ).
tcf(c_9238,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xz,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_9236,c_84,c_8145]) ).
tcf(c_9240,plain,
( ( sdtasdt0(sdtasdt0(xz,xv),sK4(sdtasdt0(xz,xv),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xz,xv)) ),
inference(superposition,[status(thm)],[c_9238,c_70]) ).
tcf(c_9241,plain,
( aElement0(sK4(sdtasdt0(xz,xv),sz00))
| ~ aElement0(sdtasdt0(xz,xv)) ),
inference(superposition,[status(thm)],[c_9238,c_69]) ).
tcf(c_9242,plain,
aElement0(sK4(sdtasdt0(xz,xv),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_9241,c_8145]) ).
tcf(c_9243,plain,
sdtasdt0(sdtasdt0(xz,xv),sK4(sdtasdt0(xz,xv),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9240,c_8145]) ).
tcf(c_9244,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1221]) ).
tcf(c_9245,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1220]) ).
tcf(c_9246,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xz,xv),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xz,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9242,c_79]) ).
tcf(c_9247,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xz,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9242,c_72]) ).
tcf(c_9248,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xz,xv),sz00)) = sz00,
inference(superposition,[status(thm)],[c_9242,c_83]) ).
tcf(c_9249,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_9242,c_82]) ).
tcf(c_9250,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xz,xv),sz00)) = sK4(sdtasdt0(xz,xv),sz00),
inference(superposition,[status(thm)],[c_9242,c_77]) ).
tcf(c_9251,plain,
sdtpldt0(sK4(sdtasdt0(xz,xv),sz00),sz00) = sK4(sdtasdt0(xz,xv),sz00),
inference(superposition,[status(thm)],[c_9242,c_76]) ).
tcf(c_9252,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xz,xv),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9242,c_74]) ).
tcf(c_9253,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xz,xv),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xz,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9242,c_73]) ).
tcf(c_9254,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xz,xv),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xz,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9242,c_78]) ).
tcf(c_9255,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xz,xv),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xz,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9242,c_71]) ).
tcf(c_9301,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xx,xz))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8699,c_64]) ).
tcf(c_9307,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xx,xz)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xx,xz)) ),
inference(superposition,[status(thm)],[c_8700,c_68]) ).
tcf(c_9309,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xx,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_9307,c_84,c_8689]) ).
tcf(c_9311,plain,
( ( sdtasdt0(sdtasdt0(xx,xz),sK4(sdtasdt0(xx,xz),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xx,xz)) ),
inference(superposition,[status(thm)],[c_9309,c_70]) ).
tcf(c_9312,plain,
( aElement0(sK4(sdtasdt0(xx,xz),sz00))
| ~ aElement0(sdtasdt0(xx,xz)) ),
inference(superposition,[status(thm)],[c_9309,c_69]) ).
tcf(c_9313,plain,
aElement0(sK4(sdtasdt0(xx,xz),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_9312,c_8689]) ).
tcf(c_9314,plain,
sdtasdt0(sdtasdt0(xx,xz),sK4(sdtasdt0(xx,xz),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9311,c_8689]) ).
tcf(c_9415,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1221]) ).
tcf(c_9416,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1220]) ).
tcf(c_9417,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xx,xz),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xx,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9313,c_79]) ).
tcf(c_9418,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xx,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9313,c_72]) ).
tcf(c_9419,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xx,xz),sz00)) = sz00,
inference(superposition,[status(thm)],[c_9313,c_83]) ).
tcf(c_9420,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_9313,c_82]) ).
tcf(c_9421,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xx,xz),sz00)) = sK4(sdtasdt0(xx,xz),sz00),
inference(superposition,[status(thm)],[c_9313,c_77]) ).
tcf(c_9422,plain,
sdtpldt0(sK4(sdtasdt0(xx,xz),sz00),sz00) = sK4(sdtasdt0(xx,xz),sz00),
inference(superposition,[status(thm)],[c_9313,c_76]) ).
tcf(c_9423,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xx,xz),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9313,c_74]) ).
tcf(c_9424,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xx,xz),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xx,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9313,c_73]) ).
tcf(c_9425,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xx,xz),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xx,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9313,c_78]) ).
tcf(c_9426,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xx,xz),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xx,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9313,c_71]) ).
tcf(c_9549,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xy,xz))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8993,c_64]) ).
tcf(c_9555,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xy,xz)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xy,xz)) ),
inference(superposition,[status(thm)],[c_8994,c_68]) ).
tcf(c_9557,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xy,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_9555,c_84,c_8954]) ).
tcf(c_9559,plain,
( ( sdtasdt0(sdtasdt0(xy,xz),sK4(sdtasdt0(xy,xz),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xy,xz)) ),
inference(superposition,[status(thm)],[c_9557,c_70]) ).
tcf(c_9560,plain,
( aElement0(sK4(sdtasdt0(xy,xz),sz00))
| ~ aElement0(sdtasdt0(xy,xz)) ),
inference(superposition,[status(thm)],[c_9557,c_69]) ).
tcf(c_9561,plain,
aElement0(sK4(sdtasdt0(xy,xz),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_9560,c_8954]) ).
tcf(c_9562,plain,
sdtasdt0(sdtasdt0(xy,xz),sK4(sdtasdt0(xy,xz),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9559,c_8954]) ).
tcf(c_9563,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1221]) ).
tcf(c_9564,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1220]) ).
tcf(c_9565,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xy,xz),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xy,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9561,c_79]) ).
tcf(c_9566,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xy,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9561,c_72]) ).
tcf(c_9567,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xy,xz),sz00)) = sz00,
inference(superposition,[status(thm)],[c_9561,c_83]) ).
tcf(c_9568,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_9561,c_82]) ).
tcf(c_9569,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xy,xz),sz00)) = sK4(sdtasdt0(xy,xz),sz00),
inference(superposition,[status(thm)],[c_9561,c_77]) ).
tcf(c_9570,plain,
sdtpldt0(sK4(sdtasdt0(xy,xz),sz00),sz00) = sK4(sdtasdt0(xy,xz),sz00),
inference(superposition,[status(thm)],[c_9561,c_76]) ).
tcf(c_9571,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xy,xz),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9561,c_74]) ).
tcf(c_9572,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xy,xz),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xy,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9561,c_73]) ).
tcf(c_9573,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xy,xz),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xy,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9561,c_78]) ).
tcf(c_9574,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xy,xz),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xy,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9561,c_71]) ).
tcf(c_9662,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xz,sdtasdt0(xu,xz)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8111,c_64]) ).
tcf(c_9668,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xz,sdtasdt0(xu,xz))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xz,sdtasdt0(xu,xz))) ),
inference(superposition,[status(thm)],[c_8112,c_68]) ).
tcf(c_9670,plain,
aElementOf0(sz00,slsdtgt0(sK4(xz,sdtasdt0(xu,xz)))),
inference(forward_subsumption_resolution,[status(thm)],[c_9668,c_84,c_8080]) ).
tcf(c_9672,plain,
( ( sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)) = sz00 )
| ~ aElement0(sK4(xz,sdtasdt0(xu,xz))) ),
inference(superposition,[status(thm)],[c_9670,c_70]) ).
tcf(c_9673,plain,
( aElement0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00))
| ~ aElement0(sK4(xz,sdtasdt0(xu,xz))) ),
inference(superposition,[status(thm)],[c_9670,c_69]) ).
tcf(c_9674,plain,
aElement0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_9673,c_8080]) ).
tcf(c_9675,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9672,c_8080]) ).
tcf(c_9678,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1221]) ).
tcf(c_9679,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1220]) ).
tcf(c_9680,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9674,c_79]) ).
tcf(c_9681,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9674,c_72]) ).
tcf(c_9682,plain,
sdtasdt0(sz00,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_9674,c_83]) ).
tcf(c_9683,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_9674,c_82]) ).
tcf(c_9684,plain,
sdtpldt0(sz00,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)) = sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),
inference(superposition,[status(thm)],[c_9674,c_77]) ).
tcf(c_9685,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),sz00) = sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),
inference(superposition,[status(thm)],[c_9674,c_76]) ).
tcf(c_9686,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9674,c_74]) ).
tcf(c_9687,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9674,c_73]) ).
tcf(c_9688,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9674,c_78]) ).
tcf(c_9689,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9674,c_71]) ).
tcf(c_9783,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xv,sdtasdt0(xz,xv)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8270,c_64]) ).
tcf(c_9789,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xv,sdtasdt0(xz,xv))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xv,sdtasdt0(xz,xv))) ),
inference(superposition,[status(thm)],[c_8271,c_68]) ).
tcf(c_9791,plain,
aElementOf0(sz00,slsdtgt0(sK4(xv,sdtasdt0(xz,xv)))),
inference(forward_subsumption_resolution,[status(thm)],[c_9789,c_84,c_8241]) ).
tcf(c_9793,plain,
( ( sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)) = sz00 )
| ~ aElement0(sK4(xv,sdtasdt0(xz,xv))) ),
inference(superposition,[status(thm)],[c_9791,c_70]) ).
tcf(c_9794,plain,
( aElement0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00))
| ~ aElement0(sK4(xv,sdtasdt0(xz,xv))) ),
inference(superposition,[status(thm)],[c_9791,c_69]) ).
tcf(c_9795,plain,
aElement0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_9794,c_8241]) ).
tcf(c_9796,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9793,c_8241]) ).
tcf(c_9797,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1221]) ).
tcf(c_9798,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1220]) ).
tcf(c_9799,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9795,c_79]) ).
tcf(c_9800,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9795,c_72]) ).
tcf(c_9801,plain,
sdtasdt0(sz00,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_9795,c_83]) ).
tcf(c_9802,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_9795,c_82]) ).
tcf(c_9803,plain,
sdtpldt0(sz00,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)) = sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),
inference(superposition,[status(thm)],[c_9795,c_77]) ).
tcf(c_9804,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),sz00) = sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),
inference(superposition,[status(thm)],[c_9795,c_76]) ).
tcf(c_9805,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9795,c_74]) ).
tcf(c_9806,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9795,c_73]) ).
tcf(c_9807,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9795,c_78]) ).
tcf(c_9808,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9795,c_71]) ).
tcf(c_9831,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xu,xz),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8492,c_64]) ).
tcf(c_9839,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xu,xz),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xu,xz),sz00)) ),
inference(superposition,[status(thm)],[c_8493,c_68]) ).
tcf(c_9841,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xu,xz),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_9839,c_84,c_8407]) ).
tcf(c_9843,plain,
( ( sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xu,xz),sz00)) ),
inference(superposition,[status(thm)],[c_9841,c_70]) ).
tcf(c_9844,plain,
( aElement0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xu,xz),sz00)) ),
inference(superposition,[status(thm)],[c_9841,c_69]) ).
tcf(c_9845,plain,
aElement0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_9844,c_8407]) ).
tcf(c_9846,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9843,c_8407]) ).
tcf(c_9873,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1221]) ).
tcf(c_9874,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1220]) ).
tcf(c_9875,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9845,c_79]) ).
tcf(c_9876,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9845,c_72]) ).
tcf(c_9877,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_9845,c_83]) ).
tcf(c_9878,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_9845,c_82]) ).
tcf(c_9879,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)) = sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_9845,c_77]) ).
tcf(c_9880,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_9845,c_76]) ).
tcf(c_9881,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9845,c_74]) ).
tcf(c_9882,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9845,c_73]) ).
tcf(c_9883,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9845,c_78]) ).
tcf(c_9884,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9845,c_71]) ).
tcf(c_9933,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xz,sdtasdt0(xx,xz)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8834,c_64]) ).
tcf(c_10008,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xz,sdtasdt0(xx,xz))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xz,sdtasdt0(xx,xz))) ),
inference(superposition,[status(thm)],[c_8835,c_68]) ).
tcf(c_10010,plain,
aElementOf0(sz00,slsdtgt0(sK4(xz,sdtasdt0(xx,xz)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10008,c_84,c_8828]) ).
tcf(c_10012,plain,
( ( sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)) = sz00 )
| ~ aElement0(sK4(xz,sdtasdt0(xx,xz))) ),
inference(superposition,[status(thm)],[c_10010,c_70]) ).
tcf(c_10013,plain,
( aElement0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00))
| ~ aElement0(sK4(xz,sdtasdt0(xx,xz))) ),
inference(superposition,[status(thm)],[c_10010,c_69]) ).
tcf(c_10014,plain,
aElement0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_10013,c_8828]) ).
tcf(c_10015,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_10012,c_8828]) ).
tcf(c_10018,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1221]) ).
tcf(c_10019,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1220]) ).
tcf(c_10020,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10014,c_79]) ).
tcf(c_10021,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10014,c_72]) ).
tcf(c_10022,plain,
sdtasdt0(sz00,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_10014,c_83]) ).
tcf(c_10023,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_10014,c_82]) ).
tcf(c_10024,plain,
sdtpldt0(sz00,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)) = sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),
inference(superposition,[status(thm)],[c_10014,c_77]) ).
tcf(c_10025,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),sz00) = sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),
inference(superposition,[status(thm)],[c_10014,c_76]) ).
tcf(c_10026,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10014,c_74]) ).
tcf(c_10027,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10014,c_73]) ).
tcf(c_10028,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10014,c_78]) ).
tcf(c_10029,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10014,c_71]) ).
tcf(c_10059,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xz,sdtasdt0(xy,xz)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9093,c_64]) ).
tcf(c_10065,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xz,sdtasdt0(xy,xz))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xz,sdtasdt0(xy,xz))) ),
inference(superposition,[status(thm)],[c_9094,c_68]) ).
tcf(c_10067,plain,
aElementOf0(sz00,slsdtgt0(sK4(xz,sdtasdt0(xy,xz)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10065,c_84,c_9087]) ).
tcf(c_10069,plain,
( ( sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)) = sz00 )
| ~ aElement0(sK4(xz,sdtasdt0(xy,xz))) ),
inference(superposition,[status(thm)],[c_10067,c_70]) ).
tcf(c_10070,plain,
( aElement0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00))
| ~ aElement0(sK4(xz,sdtasdt0(xy,xz))) ),
inference(superposition,[status(thm)],[c_10067,c_69]) ).
tcf(c_10071,plain,
aElement0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_10070,c_9087]) ).
tcf(c_10072,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_10069,c_9087]) ).
tcf(c_10073,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1221]) ).
tcf(c_10074,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1220]) ).
tcf(c_10075,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_79]) ).
tcf(c_10076,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_72]) ).
tcf(c_10077,plain,
sdtasdt0(sz00,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_10071,c_83]) ).
tcf(c_10078,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_10071,c_82]) ).
tcf(c_10079,plain,
sdtpldt0(sz00,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)) = sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),
inference(superposition,[status(thm)],[c_10071,c_77]) ).
tcf(c_10080,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),sz00) = sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),
inference(superposition,[status(thm)],[c_10071,c_76]) ).
tcf(c_10081,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_74]) ).
tcf(c_10082,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_73]) ).
tcf(c_10083,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_78]) ).
tcf(c_10084,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_71]) ).
tcf(c_10259,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xz,xv),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9248,c_64]) ).
tcf(c_10265,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xz,xv),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xz,xv),sz00)) ),
inference(superposition,[status(thm)],[c_9249,c_68]) ).
tcf(c_10267,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xz,xv),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_10265,c_84,c_9242]) ).
tcf(c_10269,plain,
( ( sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xz,xv),sz00)) ),
inference(superposition,[status(thm)],[c_10267,c_70]) ).
tcf(c_10270,plain,
( aElement0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xz,xv),sz00)) ),
inference(superposition,[status(thm)],[c_10267,c_69]) ).
tcf(c_10271,plain,
aElement0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_10270,c_9242]) ).
tcf(c_10272,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_10269,c_9242]) ).
tcf(c_10273,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1221]) ).
tcf(c_10274,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1220]) ).
tcf(c_10275,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10271,c_79]) ).
tcf(c_10276,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10271,c_72]) ).
tcf(c_10277,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_10271,c_83]) ).
tcf(c_10278,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_10271,c_82]) ).
tcf(c_10279,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)) = sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_10271,c_77]) ).
tcf(c_10280,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_10271,c_76]) ).
tcf(c_10281,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10271,c_74]) ).
tcf(c_10282,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10271,c_73]) ).
tcf(c_10283,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10271,c_78]) ).
tcf(c_10284,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10271,c_71]) ).
tcf(c_10425,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xx,xz),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9419,c_64]) ).
tcf(c_10431,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xx,xz),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xx,xz),sz00)) ),
inference(superposition,[status(thm)],[c_9420,c_68]) ).
tcf(c_10433,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xx,xz),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_10431,c_84,c_9313]) ).
tcf(c_10435,plain,
( ( sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xx,xz),sz00)) ),
inference(superposition,[status(thm)],[c_10433,c_70]) ).
tcf(c_10436,plain,
( aElement0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xx,xz),sz00)) ),
inference(superposition,[status(thm)],[c_10433,c_69]) ).
tcf(c_10437,plain,
aElement0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_10436,c_9313]) ).
tcf(c_10438,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_10435,c_9313]) ).
tcf(c_10439,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1221]) ).
tcf(c_10440,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1220]) ).
tcf(c_10441,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10437,c_79]) ).
tcf(c_10442,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10437,c_72]) ).
tcf(c_10443,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_10437,c_83]) ).
tcf(c_10444,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_10437,c_82]) ).
tcf(c_10445,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)) = sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_10437,c_77]) ).
tcf(c_10446,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_10437,c_76]) ).
tcf(c_10447,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10437,c_74]) ).
tcf(c_10448,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10437,c_73]) ).
tcf(c_10449,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10437,c_78]) ).
tcf(c_10450,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10437,c_71]) ).
tcf(c_10492,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xy,xz),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9567,c_64]) ).
tcf(c_10504,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xy,xz),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xy,xz),sz00)) ),
inference(superposition,[status(thm)],[c_9568,c_68]) ).
tcf(c_10506,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xy,xz),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_10504,c_84,c_9561]) ).
tcf(c_10508,plain,
( ( sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xy,xz),sz00)) ),
inference(superposition,[status(thm)],[c_10506,c_70]) ).
tcf(c_10509,plain,
( aElement0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xy,xz),sz00)) ),
inference(superposition,[status(thm)],[c_10506,c_69]) ).
tcf(c_10510,plain,
aElement0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_10509,c_9561]) ).
tcf(c_10511,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_10508,c_9561]) ).
tcf(c_10512,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1221]) ).
tcf(c_10513,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1220]) ).
tcf(c_10514,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10510,c_79]) ).
tcf(c_10515,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10510,c_72]) ).
tcf(c_10516,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_10510,c_83]) ).
tcf(c_10517,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_10510,c_82]) ).
tcf(c_10518,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)) = sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_10510,c_77]) ).
tcf(c_10519,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_10510,c_76]) ).
tcf(c_10520,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10510,c_74]) ).
tcf(c_10521,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10510,c_73]) ).
tcf(c_10522,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10510,c_78]) ).
tcf(c_10523,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10510,c_71]) ).
tcf(c_10584,plain,
sdtasdt0(xu,xv) = sdtasdt0(xv,xu),
inference(superposition,[status(thm)],[c_55,c_1222]) ).
tcf(c_10585,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xu) = sdtasdt0(xu,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1222]) ).
tcf(c_10586,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xu) = sdtasdt0(xu,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1222]) ).
tcf(c_10587,plain,
sdtasdt0(xu,sz00) = sdtasdt0(sz00,xu),
inference(superposition,[status(thm)],[c_84,c_1222]) ).
tcf(c_10588,plain,
sdtasdt0(sK4(sz00,sz00),xu) = sdtasdt0(xu,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1222]) ).
tcf(c_10589,plain,
sdtasdt0(xx,xu) = sdtasdt0(xu,xx),
inference(superposition,[status(thm)],[c_1040,c_1222]) ).
tcf(c_10590,plain,
sdtasdt0(xy,xu) = sdtasdt0(xu,xy),
inference(superposition,[status(thm)],[c_1047,c_1222]) ).
tcf(c_10591,plain,
sdtasdt0(sdtpldt0(xx,xy),xu) = sdtasdt0(xu,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1222]) ).
tcf(c_10592,plain,
sdtasdt0(sK4(xc,xx),xu) = sdtasdt0(xu,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1222]) ).
tcf(c_10593,plain,
sdtasdt0(sK4(xc,xy),xu) = sdtasdt0(xu,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1222]) ).
tcf(c_10594,plain,
sdtasdt0(sK4(xy,sz00),xu) = sdtasdt0(xu,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1222]) ).
tcf(c_10595,plain,
sdtasdt0(sK4(xx,sz00),xu) = sdtasdt0(xu,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1222]) ).
tcf(c_10596,plain,
sdtasdt0(sK4(xv,sz00),xu) = sdtasdt0(xu,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1222]) ).
tcf(c_10597,plain,
sdtasdt0(sK4(xu,sz00),xu) = sdtasdt0(xu,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1222]) ).
tcf(c_10598,plain,
sdtasdt0(sK4(xz,sz00),xu) = sdtasdt0(xu,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1222]) ).
tcf(c_10599,plain,
sdtasdt0(sK4(xc,sz00),xu) = sdtasdt0(xu,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1222]) ).
tcf(c_10600,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),xu) = sdtasdt0(xu,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1222]) ).
tcf(c_10601,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),xu) = sdtasdt0(xu,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1222]) ).
tcf(c_10602,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1222]) ).
tcf(c_10603,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1222]) ).
tcf(c_10604,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1222]) ).
tcf(c_10605,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1222]) ).
tcf(c_10606,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1222]) ).
tcf(c_10607,plain,
sdtasdt0(sdtasdt0(xu,xz),xu) = sdtasdt0(xu,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1222]) ).
tcf(c_10608,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1222]) ).
tcf(c_10609,plain,
sdtasdt0(sdtasdt0(xx,xz),xu) = sdtasdt0(xu,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1222]) ).
tcf(c_10610,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1222]) ).
tcf(c_10611,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1222]) ).
tcf(c_10612,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1222]) ).
tcf(c_10613,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1222]) ).
tcf(c_10614,plain,
sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1222]) ).
tcf(c_10615,plain,
sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1222]) ).
tcf(c_10616,plain,
sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1222]) ).
tcf(c_10617,plain,
sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1222]) ).
tcf(c_10618,plain,
sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1222]) ).
tcf(c_10619,plain,
sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1222]) ).
tcf(c_10620,plain,
sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1222]) ).
tcf(c_10621,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1222]) ).
tcf(c_10622,plain,
sdtasdt0(sK4(xv,xy),xu) = sdtasdt0(xu,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1222]) ).
tcf(c_10623,plain,
sdtasdt0(sK4(xu,xx),xu) = sdtasdt0(xu,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1222]) ).
tcf(c_10624,plain,
sdtasdt0(sdtasdt0(xc,xz),xu) = sdtasdt0(xu,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1222]) ).
tcf(c_10625,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),xu) = sdtasdt0(xu,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1222]) ).
tcf(c_10626,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),xu) = sdtasdt0(xu,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1222]) ).
tcf(c_10627,plain,
sdtasdt0(sdtasdt0(xc,xx),xu) = sdtasdt0(xu,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1222]) ).
tcf(c_10628,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),xu) = sdtasdt0(xu,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1222]) ).
tcf(c_10629,plain,
sdtasdt0(sdtasdt0(xc,xy),xu) = sdtasdt0(xu,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1222]) ).
tcf(c_10630,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),xu) = sdtasdt0(xu,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1222]) ).
tcf(c_10631,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),xu) = sdtasdt0(xu,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1222]) ).
tcf(c_10632,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),xu) = sdtasdt0(xu,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1222]) ).
tcf(c_10633,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),xu) = sdtasdt0(xu,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1222]) ).
tcf(c_10634,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1222]) ).
tcf(c_10635,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1222]) ).
tcf(c_10636,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1222]) ).
tcf(c_10637,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1222]) ).
tcf(c_10638,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1222]) ).
tcf(c_10639,plain,
sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1222]) ).
tcf(c_10640,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1222]) ).
tcf(c_10641,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1222]) ).
tcf(c_10642,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1222]) ).
tcf(c_10643,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1222]) ).
tcf(c_10644,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1222]) ).
tcf(c_10645,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1222]) ).
tcf(c_10646,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1222]) ).
tcf(c_10647,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),xu) = sdtasdt0(xu,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1222]) ).
tcf(c_10648,plain,
sdtasdt0(sdtasdt0(xz,xv),xu) = sdtasdt0(xu,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1222]) ).
tcf(c_10649,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),xu) = sdtasdt0(xu,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1222]) ).
tcf(c_10650,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1222]) ).
tcf(c_10651,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),xu) = sdtasdt0(xu,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1222]) ).
tcf(c_10652,plain,
sdtasdt0(sdtasdt0(xy,xz),xu) = sdtasdt0(xu,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1222]) ).
tcf(c_10653,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),xu) = sdtasdt0(xu,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1222]) ).
tcf(c_10654,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1222]) ).
tcf(c_10655,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1222]) ).
tcf(c_10656,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1222]) ).
tcf(c_10657,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1222]) ).
tcf(c_10658,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1222]) ).
tcf(c_10659,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1222]) ).
tcf(c_10660,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1222]) ).
tcf(c_10661,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1222]) ).
tcf(c_10662,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1222]) ).
tcf(c_10663,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1222]) ).
tcf(c_10664,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1222]) ).
tcf(c_10666,plain,
sdtasdt0(sK4(xu,xx),xu) = xx,
inference(light_normalisation,[status(thm)],[c_10623,c_4998]) ).
tcf(c_10667,plain,
sdtasdt0(sK4(xu,sz00),xu) = sz00,
inference(light_normalisation,[status(thm)],[c_10597,c_1464]) ).
tcf(c_10951,plain,
( ( xv = sz00 )
| ( xu = sz00 )
| ~ aElement0(xv)
| ~ aElement0(xu)
| ( sdtasdt0(xu,xv) != sz00 ) ),
inference(superposition,[status(thm)],[c_10584,c_81]) ).
tcf(c_10952,plain,
( aElementOf0(sdtasdt0(xu,xv),slsdtgt0(xv))
| ~ aElement0(xv)
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_10584,c_68]) ).
tcf(c_10953,plain,
( aElement0(sdtasdt0(xu,xv))
| ~ aElement0(xv)
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_10584,c_75]) ).
tcf(c_10954,plain,
aElement0(sdtasdt0(xu,xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_10953,c_55,c_53]) ).
tcf(c_10955,plain,
aElementOf0(sdtasdt0(xu,xv),slsdtgt0(xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_10952,c_55,c_53]) ).
tcf(c_10956,plain,
( ( xv = sz00 )
| ( xu = sz00 )
| ( sdtasdt0(xu,xv) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10951,c_55,c_53]) ).
tcf(c_10960,plain,
sdtasdt0(sdtasdt0(xu,xv),xu) = sdtasdt0(xu,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1222]) ).
tcf(c_10961,plain,
sdtasdt0(sdtasdt0(xu,xv),xz) = sdtasdt0(xz,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1221]) ).
tcf(c_10962,plain,
sdtasdt0(sdtasdt0(xu,xv),xc) = sdtasdt0(xc,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1220]) ).
tcf(c_10963,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xu,xv),X0) = sdtpldt0(X0,sdtasdt0(xu,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10954,c_79]) ).
tcf(c_10964,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xu,xv),X0) = sdtasdt0(X0,sdtasdt0(xu,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10954,c_72]) ).
tcf(c_10965,plain,
sdtasdt0(sz00,sdtasdt0(xu,xv)) = sz00,
inference(superposition,[status(thm)],[c_10954,c_83]) ).
tcf(c_10966,plain,
sdtasdt0(sdtasdt0(xu,xv),sz00) = sz00,
inference(superposition,[status(thm)],[c_10954,c_82]) ).
tcf(c_10967,plain,
sdtpldt0(sz00,sdtasdt0(xu,xv)) = sdtasdt0(xu,xv),
inference(superposition,[status(thm)],[c_10954,c_77]) ).
tcf(c_10968,plain,
sdtpldt0(sdtasdt0(xu,xv),sz00) = sdtasdt0(xu,xv),
inference(superposition,[status(thm)],[c_10954,c_76]) ).
tcf(c_10969,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xu,xv),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xu,xv)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10954,c_74]) ).
tcf(c_10970,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xu,xv))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xu,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10954,c_73]) ).
tcf(c_10971,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xu,xv)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xu,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10954,c_78]) ).
tcf(c_10972,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xu,xv)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xu,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10954,c_71]) ).
tcf(c_11058,plain,
( ( sdtasdt0(xv,sK4(xv,sdtasdt0(xu,xv))) = sdtasdt0(xu,xv) )
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_10955,c_70]) ).
tcf(c_11059,plain,
( aElement0(sK4(xv,sdtasdt0(xu,xv)))
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_10955,c_69]) ).
tcf(c_11060,plain,
aElement0(sK4(xv,sdtasdt0(xu,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_11059,c_55]) ).
tcf(c_11061,plain,
sdtasdt0(xv,sK4(xv,sdtasdt0(xu,xv))) = sdtasdt0(xu,xv),
inference(forward_subsumption_resolution,[status(thm)],[c_11058,c_55]) ).
tcf(c_11067,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),xu) = sdtasdt0(xu,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1222]) ).
tcf(c_11068,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),xz) = sdtasdt0(xz,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1221]) ).
tcf(c_11069,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),xc) = sdtasdt0(xc,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1220]) ).
tcf(c_11070,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xv,sdtasdt0(xu,xv)),X0) = sdtpldt0(X0,sK4(xv,sdtasdt0(xu,xv))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11060,c_79]) ).
tcf(c_11071,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),X0) = sdtasdt0(X0,sK4(xv,sdtasdt0(xu,xv))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11060,c_72]) ).
tcf(c_11072,plain,
sdtasdt0(sz00,sK4(xv,sdtasdt0(xu,xv))) = sz00,
inference(superposition,[status(thm)],[c_11060,c_83]) ).
tcf(c_11073,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11060,c_82]) ).
tcf(c_11074,plain,
sdtpldt0(sz00,sK4(xv,sdtasdt0(xu,xv))) = sK4(xv,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_11060,c_77]) ).
tcf(c_11075,plain,
sdtpldt0(sK4(xv,sdtasdt0(xu,xv)),sz00) = sK4(xv,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_11060,c_76]) ).
tcf(c_11076,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xv,sdtasdt0(xu,xv))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11060,c_74]) ).
tcf(c_11077,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xv,sdtasdt0(xu,xv)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xv,sdtasdt0(xu,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11060,c_73]) ).
tcf(c_11078,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xv,sdtasdt0(xu,xv))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xv,sdtasdt0(xu,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11060,c_78]) ).
tcf(c_11079,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xv,sdtasdt0(xu,xv))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xv,sdtasdt0(xu,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11060,c_71]) ).
tcf(c_11116,plain,
( ( xu = sz00 )
| ( xx = sz00 )
| ~ aElement0(xu)
| ~ aElement0(xx)
| ( sdtasdt0(xx,xu) != sz00 ) ),
inference(superposition,[status(thm)],[c_10589,c_81]) ).
tcf(c_11117,plain,
( aElementOf0(sdtasdt0(xx,xu),slsdtgt0(xu))
| ~ aElement0(xu)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_10589,c_68]) ).
tcf(c_11118,plain,
( aElement0(sdtasdt0(xx,xu))
| ~ aElement0(xu)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_10589,c_75]) ).
tcf(c_11119,plain,
aElement0(sdtasdt0(xx,xu)),
inference(forward_subsumption_resolution,[status(thm)],[c_11118,c_53,c_1040]) ).
tcf(c_11120,plain,
aElementOf0(sdtasdt0(xx,xu),slsdtgt0(xu)),
inference(forward_subsumption_resolution,[status(thm)],[c_11117,c_53,c_1040]) ).
tcf(c_11121,plain,
( ( xu = sz00 )
| ( xx = sz00 )
| ( sdtasdt0(xx,xu) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11116,c_53,c_1040]) ).
tcf(c_11125,plain,
sdtasdt0(sdtasdt0(xx,xu),xu) = sdtasdt0(xu,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1222]) ).
tcf(c_11126,plain,
sdtasdt0(sdtasdt0(xx,xu),xz) = sdtasdt0(xz,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1221]) ).
tcf(c_11127,plain,
sdtasdt0(sdtasdt0(xx,xu),xc) = sdtasdt0(xc,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1220]) ).
tcf(c_11128,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xx,xu),X0) = sdtpldt0(X0,sdtasdt0(xx,xu)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11119,c_79]) ).
tcf(c_11129,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xx,xu),X0) = sdtasdt0(X0,sdtasdt0(xx,xu)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11119,c_72]) ).
tcf(c_11130,plain,
sdtasdt0(sz00,sdtasdt0(xx,xu)) = sz00,
inference(superposition,[status(thm)],[c_11119,c_83]) ).
tcf(c_11131,plain,
sdtasdt0(sdtasdt0(xx,xu),sz00) = sz00,
inference(superposition,[status(thm)],[c_11119,c_82]) ).
tcf(c_11132,plain,
sdtpldt0(sz00,sdtasdt0(xx,xu)) = sdtasdt0(xx,xu),
inference(superposition,[status(thm)],[c_11119,c_77]) ).
tcf(c_11133,plain,
sdtpldt0(sdtasdt0(xx,xu),sz00) = sdtasdt0(xx,xu),
inference(superposition,[status(thm)],[c_11119,c_76]) ).
tcf(c_11134,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xx,xu),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xx,xu)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11119,c_74]) ).
tcf(c_11135,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xx,xu))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xx,xu))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11119,c_73]) ).
tcf(c_11136,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xx,xu)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xx,xu))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11119,c_78]) ).
tcf(c_11137,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xx,xu)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xx,xu))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11119,c_71]) ).
tcf(c_11228,plain,
( ( sdtasdt0(xu,sK4(xu,sdtasdt0(xx,xu))) = sdtasdt0(xx,xu) )
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_11120,c_70]) ).
tcf(c_11229,plain,
( aElement0(sK4(xu,sdtasdt0(xx,xu)))
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_11120,c_69]) ).
tcf(c_11230,plain,
aElement0(sK4(xu,sdtasdt0(xx,xu))),
inference(forward_subsumption_resolution,[status(thm)],[c_11229,c_53]) ).
tcf(c_11231,plain,
sdtasdt0(xu,sK4(xu,sdtasdt0(xx,xu))) = sdtasdt0(xx,xu),
inference(forward_subsumption_resolution,[status(thm)],[c_11228,c_53]) ).
tcf(c_11232,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),xu) = sdtasdt0(xu,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1222]) ).
tcf(c_11233,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),xz) = sdtasdt0(xz,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1221]) ).
tcf(c_11234,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),xc) = sdtasdt0(xc,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1220]) ).
tcf(c_11235,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xu,sdtasdt0(xx,xu)),X0) = sdtpldt0(X0,sK4(xu,sdtasdt0(xx,xu))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11230,c_79]) ).
tcf(c_11236,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),X0) = sdtasdt0(X0,sK4(xu,sdtasdt0(xx,xu))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11230,c_72]) ).
tcf(c_11237,plain,
sdtasdt0(sz00,sK4(xu,sdtasdt0(xx,xu))) = sz00,
inference(superposition,[status(thm)],[c_11230,c_83]) ).
tcf(c_11238,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11230,c_82]) ).
tcf(c_11239,plain,
sdtpldt0(sz00,sK4(xu,sdtasdt0(xx,xu))) = sK4(xu,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11230,c_77]) ).
tcf(c_11240,plain,
sdtpldt0(sK4(xu,sdtasdt0(xx,xu)),sz00) = sK4(xu,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11230,c_76]) ).
tcf(c_11241,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xu,sdtasdt0(xx,xu))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11230,c_74]) ).
tcf(c_11242,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xu,sdtasdt0(xx,xu)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xu,sdtasdt0(xx,xu)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11230,c_73]) ).
tcf(c_11243,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xu,sdtasdt0(xx,xu))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xu,sdtasdt0(xx,xu)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11230,c_78]) ).
tcf(c_11244,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xu,sdtasdt0(xx,xu))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xu,sdtasdt0(xx,xu)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11230,c_71]) ).
tcf(c_11245,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),xu) = sdtasdt0(xx,xu),
inference(light_normalisation,[status(thm)],[c_11232,c_11231]) ).
tcf(c_11308,plain,
( ( xu = sz00 )
| ( xy = sz00 )
| ~ aElement0(xu)
| ~ aElement0(xy)
| ( sdtasdt0(xu,xy) != sz00 ) ),
inference(superposition,[status(thm)],[c_10590,c_81]) ).
tcf(c_11309,plain,
( aElementOf0(sdtasdt0(xu,xy),slsdtgt0(xy))
| ~ aElement0(xu)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_10590,c_68]) ).
tcf(c_11310,plain,
( aElement0(sdtasdt0(xu,xy))
| ~ aElement0(xu)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_10590,c_75]) ).
tcf(c_11311,plain,
aElement0(sdtasdt0(xu,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_11310,c_53,c_1047]) ).
tcf(c_11312,plain,
aElementOf0(sdtasdt0(xu,xy),slsdtgt0(xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_11309,c_53,c_1047]) ).
tcf(c_11313,plain,
( ( xu = sz00 )
| ( xy = sz00 )
| ( sdtasdt0(xu,xy) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11308,c_53,c_1047]) ).
tcf(c_11331,plain,
sdtasdt0(sdtasdt0(xu,xy),xu) = sdtasdt0(xu,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1222]) ).
tcf(c_11332,plain,
sdtasdt0(sdtasdt0(xu,xy),xz) = sdtasdt0(xz,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1221]) ).
tcf(c_11333,plain,
sdtasdt0(sdtasdt0(xu,xy),xc) = sdtasdt0(xc,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1220]) ).
tcf(c_11334,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xu,xy),X0) = sdtpldt0(X0,sdtasdt0(xu,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11311,c_79]) ).
tcf(c_11335,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xu,xy),X0) = sdtasdt0(X0,sdtasdt0(xu,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11311,c_72]) ).
tcf(c_11336,plain,
sdtasdt0(sz00,sdtasdt0(xu,xy)) = sz00,
inference(superposition,[status(thm)],[c_11311,c_83]) ).
tcf(c_11337,plain,
sdtasdt0(sdtasdt0(xu,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_11311,c_82]) ).
tcf(c_11338,plain,
sdtpldt0(sz00,sdtasdt0(xu,xy)) = sdtasdt0(xu,xy),
inference(superposition,[status(thm)],[c_11311,c_77]) ).
tcf(c_11339,plain,
sdtpldt0(sdtasdt0(xu,xy),sz00) = sdtasdt0(xu,xy),
inference(superposition,[status(thm)],[c_11311,c_76]) ).
tcf(c_11340,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xu,xy),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xu,xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11311,c_74]) ).
tcf(c_11341,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xu,xy))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xu,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11311,c_73]) ).
tcf(c_11342,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xu,xy)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xu,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11311,c_78]) ).
tcf(c_11343,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xu,xy)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xu,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11311,c_71]) ).
tcf(c_11367,plain,
( ( sdtasdt0(xy,sK4(xy,sdtasdt0(xu,xy))) = sdtasdt0(xu,xy) )
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_11312,c_70]) ).
tcf(c_11368,plain,
( aElement0(sK4(xy,sdtasdt0(xu,xy)))
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_11312,c_69]) ).
tcf(c_11369,plain,
aElement0(sK4(xy,sdtasdt0(xu,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_11368,c_1047]) ).
tcf(c_11370,plain,
sdtasdt0(xy,sK4(xy,sdtasdt0(xu,xy))) = sdtasdt0(xu,xy),
inference(forward_subsumption_resolution,[status(thm)],[c_11367,c_1047]) ).
tcf(c_11371,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),xu) = sdtasdt0(xu,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1222]) ).
tcf(c_11372,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),xz) = sdtasdt0(xz,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1221]) ).
tcf(c_11373,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),xc) = sdtasdt0(xc,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1220]) ).
tcf(c_11374,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xy,sdtasdt0(xu,xy)),X0) = sdtpldt0(X0,sK4(xy,sdtasdt0(xu,xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11369,c_79]) ).
tcf(c_11375,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),X0) = sdtasdt0(X0,sK4(xy,sdtasdt0(xu,xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11369,c_72]) ).
tcf(c_11376,plain,
sdtasdt0(sz00,sK4(xy,sdtasdt0(xu,xy))) = sz00,
inference(superposition,[status(thm)],[c_11369,c_83]) ).
tcf(c_11377,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11369,c_82]) ).
tcf(c_11378,plain,
sdtpldt0(sz00,sK4(xy,sdtasdt0(xu,xy))) = sK4(xy,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11369,c_77]) ).
tcf(c_11379,plain,
sdtpldt0(sK4(xy,sdtasdt0(xu,xy)),sz00) = sK4(xy,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11369,c_76]) ).
tcf(c_11380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xy,sdtasdt0(xu,xy))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11369,c_74]) ).
tcf(c_11381,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xy,sdtasdt0(xu,xy)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xy,sdtasdt0(xu,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11369,c_73]) ).
tcf(c_11382,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xy,sdtasdt0(xu,xy))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xy,sdtasdt0(xu,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11369,c_78]) ).
tcf(c_11383,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xy,sdtasdt0(xu,xy))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xy,sdtasdt0(xu,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11369,c_71]) ).
tcf(c_11426,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xu,xv))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10965,c_64]) ).
tcf(c_11432,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xu,xv)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_10966,c_68]) ).
tcf(c_11434,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xu,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_11432,c_84,c_10954]) ).
tcf(c_11436,plain,
( ( sdtasdt0(sdtasdt0(xu,xv),sK4(sdtasdt0(xu,xv),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_11434,c_70]) ).
tcf(c_11437,plain,
( aElement0(sK4(sdtasdt0(xu,xv),sz00))
| ~ aElement0(sdtasdt0(xu,xv)) ),
inference(superposition,[status(thm)],[c_11434,c_69]) ).
tcf(c_11438,plain,
aElement0(sK4(sdtasdt0(xu,xv),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_11437,c_10954]) ).
tcf(c_11439,plain,
sdtasdt0(sdtasdt0(xu,xv),sK4(sdtasdt0(xu,xv),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11436,c_10954]) ).
tcf(c_11440,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1222]) ).
tcf(c_11441,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1221]) ).
tcf(c_11442,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1220]) ).
tcf(c_11443,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xu,xv),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xu,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11438,c_79]) ).
tcf(c_11444,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xu,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11438,c_72]) ).
tcf(c_11445,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xu,xv),sz00)) = sz00,
inference(superposition,[status(thm)],[c_11438,c_83]) ).
tcf(c_11446,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_11438,c_82]) ).
tcf(c_11447,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xu,xv),sz00)) = sK4(sdtasdt0(xu,xv),sz00),
inference(superposition,[status(thm)],[c_11438,c_77]) ).
tcf(c_11448,plain,
sdtpldt0(sK4(sdtasdt0(xu,xv),sz00),sz00) = sK4(sdtasdt0(xu,xv),sz00),
inference(superposition,[status(thm)],[c_11438,c_76]) ).
tcf(c_11449,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xu,xv),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11438,c_74]) ).
tcf(c_11450,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xu,xv),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xu,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11438,c_73]) ).
tcf(c_11451,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xu,xv),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xu,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11438,c_78]) ).
tcf(c_11452,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xu,xv),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xu,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11438,c_71]) ).
tcf(c_11558,plain,
( aElementOf0(xx,slsdtgt0(sK4(xu,xx)))
| ~ aElement0(xu)
| ~ aElement0(sK4(xu,xx)) ),
inference(superposition,[status(thm)],[c_10666,c_68]) ).
tcf(c_11560,plain,
aElementOf0(xx,slsdtgt0(sK4(xu,xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_11558,c_53,c_4997]) ).
tcf(c_11562,plain,
( ( sdtasdt0(sK4(xu,xx),sK4(sK4(xu,xx),xx)) = xx )
| ~ aElement0(sK4(xu,xx)) ),
inference(superposition,[status(thm)],[c_11560,c_70]) ).
tcf(c_11563,plain,
( aElement0(sK4(sK4(xu,xx),xx))
| ~ aElement0(sK4(xu,xx)) ),
inference(superposition,[status(thm)],[c_11560,c_69]) ).
tcf(c_11564,plain,
aElement0(sK4(sK4(xu,xx),xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_11563,c_4997]) ).
tcf(c_11565,plain,
sdtasdt0(sK4(xu,xx),sK4(sK4(xu,xx),xx)) = xx,
inference(forward_subsumption_resolution,[status(thm)],[c_11562,c_4997]) ).
tcf(c_11571,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),xu) = sdtasdt0(xu,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1222]) ).
tcf(c_11572,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),xz) = sdtasdt0(xz,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1221]) ).
tcf(c_11573,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),xc) = sdtasdt0(xc,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1220]) ).
tcf(c_11574,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xu,xx),xx),X0) = sdtpldt0(X0,sK4(sK4(xu,xx),xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11564,c_79]) ).
tcf(c_11575,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xu,xx),xx),X0) = sdtasdt0(X0,sK4(sK4(xu,xx),xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11564,c_72]) ).
tcf(c_11576,plain,
sdtasdt0(sz00,sK4(sK4(xu,xx),xx)) = sz00,
inference(superposition,[status(thm)],[c_11564,c_83]) ).
tcf(c_11577,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_11564,c_82]) ).
tcf(c_11578,plain,
sdtpldt0(sz00,sK4(sK4(xu,xx),xx)) = sK4(sK4(xu,xx),xx),
inference(superposition,[status(thm)],[c_11564,c_77]) ).
tcf(c_11579,plain,
sdtpldt0(sK4(sK4(xu,xx),xx),sz00) = sK4(sK4(xu,xx),xx),
inference(superposition,[status(thm)],[c_11564,c_76]) ).
tcf(c_11580,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xu,xx),xx),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xu,xx),xx)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11564,c_74]) ).
tcf(c_11581,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xu,xx),xx))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xu,xx),xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11564,c_73]) ).
tcf(c_11582,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xu,xx),xx)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xu,xx),xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11564,c_78]) ).
tcf(c_11583,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xu,xx),xx)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xu,xx),xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11564,c_71]) ).
tcf(c_11636,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xx,xu))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11130,c_64]) ).
tcf(c_11642,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xx,xu)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xx,xu)) ),
inference(superposition,[status(thm)],[c_11131,c_68]) ).
tcf(c_11644,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xx,xu))),
inference(forward_subsumption_resolution,[status(thm)],[c_11642,c_84,c_11119]) ).
tcf(c_11646,plain,
( ( sdtasdt0(sdtasdt0(xx,xu),sK4(sdtasdt0(xx,xu),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xx,xu)) ),
inference(superposition,[status(thm)],[c_11644,c_70]) ).
tcf(c_11647,plain,
( aElement0(sK4(sdtasdt0(xx,xu),sz00))
| ~ aElement0(sdtasdt0(xx,xu)) ),
inference(superposition,[status(thm)],[c_11644,c_69]) ).
tcf(c_11648,plain,
aElement0(sK4(sdtasdt0(xx,xu),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_11647,c_11119]) ).
tcf(c_11649,plain,
sdtasdt0(sdtasdt0(xx,xu),sK4(sdtasdt0(xx,xu),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11646,c_11119]) ).
tcf(c_11650,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1222]) ).
tcf(c_11651,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1221]) ).
tcf(c_11652,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1220]) ).
tcf(c_11653,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xx,xu),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xx,xu),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11648,c_79]) ).
tcf(c_11654,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xx,xu),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11648,c_72]) ).
tcf(c_11655,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xx,xu),sz00)) = sz00,
inference(superposition,[status(thm)],[c_11648,c_83]) ).
tcf(c_11656,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_11648,c_82]) ).
tcf(c_11657,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xx,xu),sz00)) = sK4(sdtasdt0(xx,xu),sz00),
inference(superposition,[status(thm)],[c_11648,c_77]) ).
tcf(c_11658,plain,
sdtpldt0(sK4(sdtasdt0(xx,xu),sz00),sz00) = sK4(sdtasdt0(xx,xu),sz00),
inference(superposition,[status(thm)],[c_11648,c_76]) ).
tcf(c_11659,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xx,xu),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11648,c_74]) ).
tcf(c_11660,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xx,xu),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xx,xu),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11648,c_73]) ).
tcf(c_11661,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xx,xu),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xx,xu),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11648,c_78]) ).
tcf(c_11662,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xx,xu),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xx,xu),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11648,c_71]) ).
tcf(c_11737,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xu,xy))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11336,c_64]) ).
tcf(c_11743,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xu,xy)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xu,xy)) ),
inference(superposition,[status(thm)],[c_11337,c_68]) ).
tcf(c_11745,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xu,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_11743,c_84,c_11311]) ).
tcf(c_11747,plain,
( ( sdtasdt0(sdtasdt0(xu,xy),sK4(sdtasdt0(xu,xy),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xu,xy)) ),
inference(superposition,[status(thm)],[c_11745,c_70]) ).
tcf(c_11748,plain,
( aElement0(sK4(sdtasdt0(xu,xy),sz00))
| ~ aElement0(sdtasdt0(xu,xy)) ),
inference(superposition,[status(thm)],[c_11745,c_69]) ).
tcf(c_11749,plain,
aElement0(sK4(sdtasdt0(xu,xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_11748,c_11311]) ).
tcf(c_11750,plain,
sdtasdt0(sdtasdt0(xu,xy),sK4(sdtasdt0(xu,xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11747,c_11311]) ).
tcf(c_11751,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1222]) ).
tcf(c_11752,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1221]) ).
tcf(c_11753,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1220]) ).
tcf(c_11754,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xu,xy),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xu,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11749,c_79]) ).
tcf(c_11755,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xu,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11749,c_72]) ).
tcf(c_11756,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xu,xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_11749,c_83]) ).
tcf(c_11757,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_11749,c_82]) ).
tcf(c_11758,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xu,xy),sz00)) = sK4(sdtasdt0(xu,xy),sz00),
inference(superposition,[status(thm)],[c_11749,c_77]) ).
tcf(c_11759,plain,
sdtpldt0(sK4(sdtasdt0(xu,xy),sz00),sz00) = sK4(sdtasdt0(xu,xy),sz00),
inference(superposition,[status(thm)],[c_11749,c_76]) ).
tcf(c_11760,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xu,xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11749,c_74]) ).
tcf(c_11761,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xu,xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xu,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11749,c_73]) ).
tcf(c_11762,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xu,xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xu,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11749,c_78]) ).
tcf(c_11763,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xu,xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xu,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11749,c_71]) ).
tcf(c_11823,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xv,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xv,sz00))
| ~ aElement0(sK4(sK4(xv,sz00),sz00))
| ~ aElementOf0(sK2(sK4(xv,sz00),X0),X0)
| ( sK2(sK4(xv,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3215,c_64]) ).
tcf(c_11824,plain,
( ( sK4(xv,sz00) = sz00 )
| ( sK4(sK4(xv,sz00),sz00) = sz00 )
| ~ aElement0(sK4(xv,sz00))
| ~ aElement0(sK4(sK4(xv,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3215,c_81]) ).
tcf(c_11827,plain,
( ( sK4(xv,sz00) = sz00 )
| ( sK4(sK4(xv,sz00),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11824,c_1286,c_3214]) ).
tcf(c_11830,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xv,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(xv,sz00),X0),X0)
| ( sK2(sK4(xv,sz00),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11823,c_1286,c_3214]) ).
tcf(c_11838,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xv,sdtasdt0(xu,xv)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11072,c_64]) ).
tcf(c_11844,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xv,sdtasdt0(xu,xv))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xv,sdtasdt0(xu,xv))) ),
inference(superposition,[status(thm)],[c_11073,c_68]) ).
tcf(c_11846,plain,
aElementOf0(sz00,slsdtgt0(sK4(xv,sdtasdt0(xu,xv)))),
inference(forward_subsumption_resolution,[status(thm)],[c_11844,c_84,c_11060]) ).
tcf(c_11848,plain,
( ( sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)) = sz00 )
| ~ aElement0(sK4(xv,sdtasdt0(xu,xv))) ),
inference(superposition,[status(thm)],[c_11846,c_70]) ).
tcf(c_11849,plain,
( aElement0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00))
| ~ aElement0(sK4(xv,sdtasdt0(xu,xv))) ),
inference(superposition,[status(thm)],[c_11846,c_69]) ).
tcf(c_11850,plain,
aElement0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_11849,c_11060]) ).
tcf(c_11851,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11848,c_11060]) ).
tcf(c_11857,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1222]) ).
tcf(c_11858,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1221]) ).
tcf(c_11859,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1220]) ).
tcf(c_11860,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11850,c_79]) ).
tcf(c_11861,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11850,c_72]) ).
tcf(c_11862,plain,
sdtasdt0(sz00,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_11850,c_83]) ).
tcf(c_11863,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_11850,c_82]) ).
tcf(c_11864,plain,
sdtpldt0(sz00,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)) = sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),
inference(superposition,[status(thm)],[c_11850,c_77]) ).
tcf(c_11865,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),sz00) = sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),
inference(superposition,[status(thm)],[c_11850,c_76]) ).
tcf(c_11866,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11850,c_74]) ).
tcf(c_11867,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11850,c_73]) ).
tcf(c_11868,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11850,c_78]) ).
tcf(c_11869,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11850,c_71]) ).
tcf(c_11920,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xu,sdtasdt0(xx,xu)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11237,c_64]) ).
tcf(c_11926,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xu,sdtasdt0(xx,xu))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xu,sdtasdt0(xx,xu))) ),
inference(superposition,[status(thm)],[c_11238,c_68]) ).
tcf(c_11928,plain,
aElementOf0(sz00,slsdtgt0(sK4(xu,sdtasdt0(xx,xu)))),
inference(forward_subsumption_resolution,[status(thm)],[c_11926,c_84,c_11230]) ).
tcf(c_11930,plain,
( ( sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)) = sz00 )
| ~ aElement0(sK4(xu,sdtasdt0(xx,xu))) ),
inference(superposition,[status(thm)],[c_11928,c_70]) ).
tcf(c_11931,plain,
( aElement0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00))
| ~ aElement0(sK4(xu,sdtasdt0(xx,xu))) ),
inference(superposition,[status(thm)],[c_11928,c_69]) ).
tcf(c_11932,plain,
aElement0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_11931,c_11230]) ).
tcf(c_11933,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11930,c_11230]) ).
tcf(c_11934,plain,
sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1222]) ).
tcf(c_11935,plain,
sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1221]) ).
tcf(c_11936,plain,
sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1220]) ).
tcf(c_11937,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11932,c_79]) ).
tcf(c_11938,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11932,c_72]) ).
tcf(c_11939,plain,
sdtasdt0(sz00,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_11932,c_83]) ).
tcf(c_11940,plain,
sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_11932,c_82]) ).
tcf(c_11941,plain,
sdtpldt0(sz00,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)) = sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),
inference(superposition,[status(thm)],[c_11932,c_77]) ).
tcf(c_11942,plain,
sdtpldt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),sz00) = sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),
inference(superposition,[status(thm)],[c_11932,c_76]) ).
tcf(c_11943,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11932,c_74]) ).
tcf(c_11944,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11932,c_73]) ).
tcf(c_11945,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11932,c_78]) ).
tcf(c_11946,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11932,c_71]) ).
tcf(c_11997,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xy,sdtasdt0(xu,xy)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11376,c_64]) ).
tcf(c_12003,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xy,sdtasdt0(xu,xy))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xy,sdtasdt0(xu,xy))) ),
inference(superposition,[status(thm)],[c_11377,c_68]) ).
tcf(c_12005,plain,
aElementOf0(sz00,slsdtgt0(sK4(xy,sdtasdt0(xu,xy)))),
inference(forward_subsumption_resolution,[status(thm)],[c_12003,c_84,c_11369]) ).
tcf(c_12008,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xu,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xu,sz00))
| ~ aElement0(sK4(sK4(xu,sz00),sz00))
| ~ aElementOf0(sK2(sK4(xu,sz00),X0),X0)
| ( sK2(sK4(xu,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3328,c_64]) ).
tcf(c_12009,plain,
( ( sK4(xu,sz00) = sz00 )
| ( sK4(sK4(xu,sz00),sz00) = sz00 )
| ~ aElement0(sK4(xu,sz00))
| ~ aElement0(sK4(sK4(xu,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3328,c_81]) ).
tcf(c_12012,plain,
( ( sK4(xu,sz00) = sz00 )
| ( sK4(sK4(xu,sz00),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12009,c_1289,c_3327]) ).
tcf(c_12015,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xu,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(xu,sz00),X0),X0)
| ( sK2(sK4(xu,sz00),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12008,c_1289,c_3327]) ).
tcf(c_12022,plain,
( ( sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)) = sz00 )
| ~ aElement0(sK4(xy,sdtasdt0(xu,xy))) ),
inference(superposition,[status(thm)],[c_12005,c_70]) ).
tcf(c_12023,plain,
( aElement0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00))
| ~ aElement0(sK4(xy,sdtasdt0(xu,xy))) ),
inference(superposition,[status(thm)],[c_12005,c_69]) ).
tcf(c_12024,plain,
aElement0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_12023,c_11369]) ).
tcf(c_12025,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12022,c_11369]) ).
tcf(c_12026,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1222]) ).
tcf(c_12027,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1221]) ).
tcf(c_12028,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1220]) ).
tcf(c_12029,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12024,c_79]) ).
tcf(c_12030,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12024,c_72]) ).
tcf(c_12031,plain,
sdtasdt0(sz00,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_12024,c_83]) ).
tcf(c_12032,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_12024,c_82]) ).
tcf(c_12033,plain,
sdtpldt0(sz00,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)) = sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),
inference(superposition,[status(thm)],[c_12024,c_77]) ).
tcf(c_12034,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),sz00) = sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),
inference(superposition,[status(thm)],[c_12024,c_76]) ).
tcf(c_12035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12024,c_74]) ).
tcf(c_12036,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12024,c_73]) ).
tcf(c_12037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12024,c_78]) ).
tcf(c_12038,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12024,c_71]) ).
tcf(c_12087,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xu,xv),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11445,c_64]) ).
tcf(c_12093,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xu,xv),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xu,xv),sz00)) ),
inference(superposition,[status(thm)],[c_11446,c_68]) ).
tcf(c_12095,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xu,xv),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_12093,c_84,c_11438]) ).
tcf(c_12098,plain,
( ( sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xu,xv),sz00)) ),
inference(superposition,[status(thm)],[c_12095,c_70]) ).
tcf(c_12099,plain,
( aElement0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xu,xv),sz00)) ),
inference(superposition,[status(thm)],[c_12095,c_69]) ).
tcf(c_12100,plain,
aElement0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_12099,c_11438]) ).
tcf(c_12101,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12098,c_11438]) ).
tcf(c_12130,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1222]) ).
tcf(c_12131,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1221]) ).
tcf(c_12132,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1220]) ).
tcf(c_12133,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12100,c_79]) ).
tcf(c_12134,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12100,c_72]) ).
tcf(c_12135,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_12100,c_83]) ).
tcf(c_12136,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_12100,c_82]) ).
tcf(c_12137,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)) = sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_12100,c_77]) ).
tcf(c_12138,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_12100,c_76]) ).
tcf(c_12139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12100,c_74]) ).
tcf(c_12140,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12100,c_73]) ).
tcf(c_12141,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12100,c_78]) ).
tcf(c_12142,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12100,c_71]) ).
tcf(c_12165,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xu,xx),xx))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11576,c_64]) ).
tcf(c_12171,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xu,xx),xx)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xu,xx),xx)) ),
inference(superposition,[status(thm)],[c_11577,c_68]) ).
tcf(c_12173,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xu,xx),xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_12171,c_84,c_11564]) ).
tcf(c_12175,plain,
( ( sdtasdt0(sK4(sK4(xu,xx),xx),sK4(sK4(sK4(xu,xx),xx),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xu,xx),xx)) ),
inference(superposition,[status(thm)],[c_12173,c_70]) ).
tcf(c_12176,plain,
( aElement0(sK4(sK4(sK4(xu,xx),xx),sz00))
| ~ aElement0(sK4(sK4(xu,xx),xx)) ),
inference(superposition,[status(thm)],[c_12173,c_69]) ).
tcf(c_12177,plain,
aElement0(sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_12176,c_11564]) ).
tcf(c_12178,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),sK4(sK4(sK4(xu,xx),xx),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12175,c_11564]) ).
tcf(c_12211,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1222]) ).
tcf(c_12212,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1221]) ).
tcf(c_12213,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1220]) ).
tcf(c_12214,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xu,xx),xx),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xu,xx),xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12177,c_79]) ).
tcf(c_12215,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xu,xx),xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12177,c_72]) ).
tcf(c_12216,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xu,xx),xx),sz00)) = sz00,
inference(superposition,[status(thm)],[c_12177,c_83]) ).
tcf(c_12217,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_12177,c_82]) ).
tcf(c_12218,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xu,xx),xx),sz00)) = sK4(sK4(sK4(xu,xx),xx),sz00),
inference(superposition,[status(thm)],[c_12177,c_77]) ).
tcf(c_12219,plain,
sdtpldt0(sK4(sK4(sK4(xu,xx),xx),sz00),sz00) = sK4(sK4(sK4(xu,xx),xx),sz00),
inference(superposition,[status(thm)],[c_12177,c_76]) ).
tcf(c_12220,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xu,xx),xx),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12177,c_74]) ).
tcf(c_12221,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xu,xx),xx),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xu,xx),xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12177,c_73]) ).
tcf(c_12222,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xu,xx),xx),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xu,xx),xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12177,c_78]) ).
tcf(c_12223,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xu,xx),xx),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xu,xx),xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12177,c_71]) ).
tcf(c_12310,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xx,xu),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11655,c_64]) ).
tcf(c_12316,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xx,xu),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xx,xu),sz00)) ),
inference(superposition,[status(thm)],[c_11656,c_68]) ).
tcf(c_12318,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xx,xu),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_12316,c_84,c_11648]) ).
tcf(c_12320,plain,
( ( sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xx,xu),sz00)) ),
inference(superposition,[status(thm)],[c_12318,c_70]) ).
tcf(c_12321,plain,
( aElement0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xx,xu),sz00)) ),
inference(superposition,[status(thm)],[c_12318,c_69]) ).
tcf(c_12322,plain,
aElement0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_12321,c_11648]) ).
tcf(c_12323,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12320,c_11648]) ).
tcf(c_12381,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1222]) ).
tcf(c_12382,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1221]) ).
tcf(c_12383,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1220]) ).
tcf(c_12384,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12322,c_79]) ).
tcf(c_12385,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12322,c_72]) ).
tcf(c_12386,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_12322,c_83]) ).
tcf(c_12387,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_12322,c_82]) ).
tcf(c_12388,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)) = sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),
inference(superposition,[status(thm)],[c_12322,c_77]) ).
tcf(c_12389,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),
inference(superposition,[status(thm)],[c_12322,c_76]) ).
tcf(c_12390,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12322,c_74]) ).
tcf(c_12391,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12322,c_73]) ).
tcf(c_12392,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12322,c_78]) ).
tcf(c_12393,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12322,c_71]) ).
tcf(c_12430,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xu,xy),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11756,c_64]) ).
tcf(c_12436,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xu,xy),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xu,xy),sz00)) ),
inference(superposition,[status(thm)],[c_11757,c_68]) ).
tcf(c_12438,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xu,xy),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_12436,c_84,c_11749]) ).
tcf(c_12442,plain,
( ( sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xu,xy),sz00)) ),
inference(superposition,[status(thm)],[c_12438,c_70]) ).
tcf(c_12443,plain,
( aElement0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xu,xy),sz00)) ),
inference(superposition,[status(thm)],[c_12438,c_69]) ).
tcf(c_12444,plain,
aElement0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_12443,c_11749]) ).
tcf(c_12445,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12442,c_11749]) ).
tcf(c_12446,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1222]) ).
tcf(c_12447,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1221]) ).
tcf(c_12448,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1220]) ).
tcf(c_12449,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12444,c_79]) ).
tcf(c_12450,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12444,c_72]) ).
tcf(c_12451,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_12444,c_83]) ).
tcf(c_12452,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_12444,c_82]) ).
tcf(c_12453,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)) = sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_12444,c_77]) ).
tcf(c_12454,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_12444,c_76]) ).
tcf(c_12455,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12444,c_74]) ).
tcf(c_12456,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12444,c_73]) ).
tcf(c_12457,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12444,c_78]) ).
tcf(c_12458,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12444,c_71]) ).
tcf(c_12529,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xv) = sdtasdt0(xv,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1223]) ).
tcf(c_12530,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xv) = sdtasdt0(xv,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1223]) ).
tcf(c_12531,plain,
sdtasdt0(xv,sz00) = sdtasdt0(sz00,xv),
inference(superposition,[status(thm)],[c_84,c_1223]) ).
tcf(c_12532,plain,
sdtasdt0(sK4(sz00,sz00),xv) = sdtasdt0(xv,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1223]) ).
tcf(c_12533,plain,
sdtasdt0(xx,xv) = sdtasdt0(xv,xx),
inference(superposition,[status(thm)],[c_1040,c_1223]) ).
tcf(c_12534,plain,
sdtasdt0(xy,xv) = sdtasdt0(xv,xy),
inference(superposition,[status(thm)],[c_1047,c_1223]) ).
tcf(c_12535,plain,
sdtasdt0(sdtpldt0(xx,xy),xv) = sdtasdt0(xv,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1223]) ).
tcf(c_12536,plain,
sdtasdt0(sK4(xc,xx),xv) = sdtasdt0(xv,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1223]) ).
tcf(c_12537,plain,
sdtasdt0(sK4(xc,xy),xv) = sdtasdt0(xv,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1223]) ).
tcf(c_12538,plain,
sdtasdt0(sK4(xy,sz00),xv) = sdtasdt0(xv,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1223]) ).
tcf(c_12539,plain,
sdtasdt0(sK4(xx,sz00),xv) = sdtasdt0(xv,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1223]) ).
tcf(c_12540,plain,
sdtasdt0(sK4(xv,sz00),xv) = sdtasdt0(xv,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1223]) ).
tcf(c_12541,plain,
sdtasdt0(sK4(xu,sz00),xv) = sdtasdt0(xv,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1223]) ).
tcf(c_12542,plain,
sdtasdt0(sK4(xz,sz00),xv) = sdtasdt0(xv,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1223]) ).
tcf(c_12543,plain,
sdtasdt0(sK4(xc,sz00),xv) = sdtasdt0(xv,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1223]) ).
tcf(c_12544,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),xv) = sdtasdt0(xv,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1223]) ).
tcf(c_12545,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),xv) = sdtasdt0(xv,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1223]) ).
tcf(c_12546,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1223]) ).
tcf(c_12547,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1223]) ).
tcf(c_12548,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1223]) ).
tcf(c_12549,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1223]) ).
tcf(c_12550,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1223]) ).
tcf(c_12551,plain,
sdtasdt0(sdtasdt0(xu,xz),xv) = sdtasdt0(xv,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1223]) ).
tcf(c_12552,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1223]) ).
tcf(c_12553,plain,
sdtasdt0(sdtasdt0(xx,xz),xv) = sdtasdt0(xv,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1223]) ).
tcf(c_12554,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1223]) ).
tcf(c_12555,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1223]) ).
tcf(c_12556,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1223]) ).
tcf(c_12557,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1223]) ).
tcf(c_12558,plain,
sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1223]) ).
tcf(c_12559,plain,
sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1223]) ).
tcf(c_12560,plain,
sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1223]) ).
tcf(c_12561,plain,
sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1223]) ).
tcf(c_12562,plain,
sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1223]) ).
tcf(c_12563,plain,
sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1223]) ).
tcf(c_12564,plain,
sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1223]) ).
tcf(c_12565,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1223]) ).
tcf(c_12566,plain,
sdtasdt0(sK4(xv,xy),xv) = sdtasdt0(xv,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1223]) ).
tcf(c_12567,plain,
sdtasdt0(sK4(xu,xx),xv) = sdtasdt0(xv,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1223]) ).
tcf(c_12568,plain,
sdtasdt0(sdtasdt0(xc,xz),xv) = sdtasdt0(xv,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1223]) ).
tcf(c_12569,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),xv) = sdtasdt0(xv,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1223]) ).
tcf(c_12570,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),xv) = sdtasdt0(xv,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1223]) ).
tcf(c_12571,plain,
sdtasdt0(sdtasdt0(xc,xx),xv) = sdtasdt0(xv,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1223]) ).
tcf(c_12572,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),xv) = sdtasdt0(xv,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1223]) ).
tcf(c_12573,plain,
sdtasdt0(sdtasdt0(xc,xy),xv) = sdtasdt0(xv,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1223]) ).
tcf(c_12574,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),xv) = sdtasdt0(xv,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1223]) ).
tcf(c_12575,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),xv) = sdtasdt0(xv,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1223]) ).
tcf(c_12576,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),xv) = sdtasdt0(xv,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1223]) ).
tcf(c_12577,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),xv) = sdtasdt0(xv,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1223]) ).
tcf(c_12578,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1223]) ).
tcf(c_12579,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1223]) ).
tcf(c_12580,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1223]) ).
tcf(c_12581,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1223]) ).
tcf(c_12582,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1223]) ).
tcf(c_12583,plain,
sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1223]) ).
tcf(c_12584,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1223]) ).
tcf(c_12585,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1223]) ).
tcf(c_12586,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1223]) ).
tcf(c_12587,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1223]) ).
tcf(c_12588,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1223]) ).
tcf(c_12589,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1223]) ).
tcf(c_12590,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1223]) ).
tcf(c_12591,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),xv) = sdtasdt0(xv,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1223]) ).
tcf(c_12592,plain,
sdtasdt0(sdtasdt0(xz,xv),xv) = sdtasdt0(xv,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1223]) ).
tcf(c_12593,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),xv) = sdtasdt0(xv,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1223]) ).
tcf(c_12594,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1223]) ).
tcf(c_12595,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),xv) = sdtasdt0(xv,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1223]) ).
tcf(c_12596,plain,
sdtasdt0(sdtasdt0(xy,xz),xv) = sdtasdt0(xv,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1223]) ).
tcf(c_12597,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),xv) = sdtasdt0(xv,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1223]) ).
tcf(c_12598,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1223]) ).
tcf(c_12599,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1223]) ).
tcf(c_12600,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1223]) ).
tcf(c_12601,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1223]) ).
tcf(c_12602,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1223]) ).
tcf(c_12603,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1223]) ).
tcf(c_12604,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1223]) ).
tcf(c_12605,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1223]) ).
tcf(c_12606,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1223]) ).
tcf(c_12607,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1223]) ).
tcf(c_12608,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1223]) ).
tcf(c_12609,plain,
sdtasdt0(sdtasdt0(xu,xv),xv) = sdtasdt0(xv,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1223]) ).
tcf(c_12610,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),xv) = sdtasdt0(xv,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1223]) ).
tcf(c_12611,plain,
sdtasdt0(sdtasdt0(xx,xu),xv) = sdtasdt0(xv,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1223]) ).
tcf(c_12612,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),xv) = sdtasdt0(xv,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1223]) ).
tcf(c_12613,plain,
sdtasdt0(sdtasdt0(xu,xy),xv) = sdtasdt0(xv,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1223]) ).
tcf(c_12614,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),xv) = sdtasdt0(xv,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1223]) ).
tcf(c_12615,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1223]) ).
tcf(c_12616,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),xv) = sdtasdt0(xv,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1223]) ).
tcf(c_12617,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1223]) ).
tcf(c_12618,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1223]) ).
tcf(c_12619,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1223]) ).
tcf(c_12620,plain,
sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1223]) ).
tcf(c_12621,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1223]) ).
tcf(c_12622,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1223]) ).
tcf(c_12623,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1223]) ).
tcf(c_12624,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1223]) ).
tcf(c_12625,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1223]) ).
tcf(c_12627,plain,
sdtasdt0(sK4(xv,xy),xv) = xy,
inference(light_normalisation,[status(thm)],[c_12566,c_4888]) ).
tcf(c_12628,plain,
sdtasdt0(sK4(xv,sz00),xv) = sz00,
inference(light_normalisation,[status(thm)],[c_12540,c_1463]) ).
tcf(c_12629,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),xv) = sdtasdt0(xu,xv),
inference(light_normalisation,[status(thm)],[c_12610,c_11061]) ).
tcf(c_12630,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),xv) = sdtasdt0(xz,xv),
inference(light_normalisation,[status(thm)],[c_12593,c_8242]) ).
tcf(c_14232,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1226]) ).
tcf(c_14233,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1226]) ).
tcf(c_14235,plain,
sdtasdt0(sK4(sz00,sz00),sz00) = sdtasdt0(sz00,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1226]) ).
tcf(c_14236,plain,
sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
inference(superposition,[status(thm)],[c_1040,c_1226]) ).
tcf(c_14237,plain,
sdtasdt0(xy,sz00) = sdtasdt0(sz00,xy),
inference(superposition,[status(thm)],[c_1047,c_1226]) ).
tcf(c_14238,plain,
sdtasdt0(sdtpldt0(xx,xy),sz00) = sdtasdt0(sz00,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1226]) ).
tcf(c_14239,plain,
sdtasdt0(sK4(xc,xx),sz00) = sdtasdt0(sz00,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1226]) ).
tcf(c_14240,plain,
sdtasdt0(sK4(xc,xy),sz00) = sdtasdt0(sz00,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1226]) ).
tcf(c_14241,plain,
sdtasdt0(sK4(xy,sz00),sz00) = sdtasdt0(sz00,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1226]) ).
tcf(c_14242,plain,
sdtasdt0(sK4(xx,sz00),sz00) = sdtasdt0(sz00,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1226]) ).
tcf(c_14243,plain,
sdtasdt0(sK4(xv,sz00),sz00) = sdtasdt0(sz00,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1226]) ).
tcf(c_14244,plain,
sdtasdt0(sK4(xu,sz00),sz00) = sdtasdt0(sz00,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1226]) ).
tcf(c_14245,plain,
sdtasdt0(sK4(xz,sz00),sz00) = sdtasdt0(sz00,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1226]) ).
tcf(c_14246,plain,
sdtasdt0(sK4(xc,sz00),sz00) = sdtasdt0(sz00,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1226]) ).
tcf(c_14247,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1226]) ).
tcf(c_14248,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1226]) ).
tcf(c_14249,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1226]) ).
tcf(c_14250,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1226]) ).
tcf(c_14251,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1226]) ).
tcf(c_14252,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1226]) ).
tcf(c_14253,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1226]) ).
tcf(c_14254,plain,
sdtasdt0(sdtasdt0(xu,xz),sz00) = sdtasdt0(sz00,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1226]) ).
tcf(c_14255,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1226]) ).
tcf(c_14256,plain,
sdtasdt0(sdtasdt0(xx,xz),sz00) = sdtasdt0(sz00,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1226]) ).
tcf(c_14257,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1226]) ).
tcf(c_14258,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1226]) ).
tcf(c_14259,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1226]) ).
tcf(c_14260,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1226]) ).
tcf(c_14261,plain,
sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1226]) ).
tcf(c_14262,plain,
sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1226]) ).
tcf(c_14263,plain,
sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1226]) ).
tcf(c_14264,plain,
sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1226]) ).
tcf(c_14265,plain,
sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1226]) ).
tcf(c_14266,plain,
sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1226]) ).
tcf(c_14267,plain,
sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1226]) ).
tcf(c_14268,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1226]) ).
tcf(c_14269,plain,
sdtasdt0(sK4(xv,xy),sz00) = sdtasdt0(sz00,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1226]) ).
tcf(c_14270,plain,
sdtasdt0(sK4(xu,xx),sz00) = sdtasdt0(sz00,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1226]) ).
tcf(c_14271,plain,
sdtasdt0(sdtasdt0(xc,xz),sz00) = sdtasdt0(sz00,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1226]) ).
tcf(c_14272,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),sz00) = sdtasdt0(sz00,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1226]) ).
tcf(c_14273,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1226]) ).
tcf(c_14274,plain,
sdtasdt0(sdtasdt0(xc,xx),sz00) = sdtasdt0(sz00,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1226]) ).
tcf(c_14275,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),sz00) = sdtasdt0(sz00,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1226]) ).
tcf(c_14276,plain,
sdtasdt0(sdtasdt0(xc,xy),sz00) = sdtasdt0(sz00,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1226]) ).
tcf(c_14277,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),sz00) = sdtasdt0(sz00,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1226]) ).
tcf(c_14278,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),sz00) = sdtasdt0(sz00,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1226]) ).
tcf(c_14279,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),sz00) = sdtasdt0(sz00,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1226]) ).
tcf(c_14280,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1226]) ).
tcf(c_14281,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1226]) ).
tcf(c_14282,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1226]) ).
tcf(c_14283,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1226]) ).
tcf(c_14284,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1226]) ).
tcf(c_14285,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1226]) ).
tcf(c_14286,plain,
sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1226]) ).
tcf(c_14287,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1226]) ).
tcf(c_14288,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1226]) ).
tcf(c_14289,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1226]) ).
tcf(c_14290,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1226]) ).
tcf(c_14291,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1226]) ).
tcf(c_14292,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1226]) ).
tcf(c_14293,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1226]) ).
tcf(c_14294,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),sz00) = sdtasdt0(sz00,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1226]) ).
tcf(c_14295,plain,
sdtasdt0(sdtasdt0(xz,xv),sz00) = sdtasdt0(sz00,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1226]) ).
tcf(c_14296,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),sz00) = sdtasdt0(sz00,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1226]) ).
tcf(c_14297,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1226]) ).
tcf(c_14298,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),sz00) = sdtasdt0(sz00,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1226]) ).
tcf(c_14299,plain,
sdtasdt0(sdtasdt0(xy,xz),sz00) = sdtasdt0(sz00,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1226]) ).
tcf(c_14300,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),sz00) = sdtasdt0(sz00,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1226]) ).
tcf(c_14301,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1226]) ).
tcf(c_14302,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1226]) ).
tcf(c_14303,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1226]) ).
tcf(c_14304,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1226]) ).
tcf(c_14305,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1226]) ).
tcf(c_14306,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1226]) ).
tcf(c_14307,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1226]) ).
tcf(c_14308,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1226]) ).
tcf(c_14309,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1226]) ).
tcf(c_14310,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1226]) ).
tcf(c_14311,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1226]) ).
tcf(c_14312,plain,
sdtasdt0(sdtasdt0(xu,xv),sz00) = sdtasdt0(sz00,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1226]) ).
tcf(c_14313,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),sz00) = sdtasdt0(sz00,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1226]) ).
tcf(c_14314,plain,
sdtasdt0(sdtasdt0(xx,xu),sz00) = sdtasdt0(sz00,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1226]) ).
tcf(c_14315,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),sz00) = sdtasdt0(sz00,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1226]) ).
tcf(c_14316,plain,
sdtasdt0(sdtasdt0(xu,xy),sz00) = sdtasdt0(sz00,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1226]) ).
tcf(c_14317,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),sz00) = sdtasdt0(sz00,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1226]) ).
tcf(c_14318,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1226]) ).
tcf(c_14319,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),sz00) = sdtasdt0(sz00,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1226]) ).
tcf(c_14320,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1226]) ).
tcf(c_14321,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1226]) ).
tcf(c_14322,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1226]) ).
tcf(c_14323,plain,
sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1226]) ).
tcf(c_14324,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1226]) ).
tcf(c_14325,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1226]) ).
tcf(c_14326,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1226]) ).
tcf(c_14327,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1226]) ).
tcf(c_14328,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1226]) ).
tcf(c_14461,plain,
( ( xv = sz00 )
| ( xx = sz00 )
| ~ aElement0(xv)
| ~ aElement0(xx)
| ( sdtasdt0(xx,xv) != sz00 ) ),
inference(superposition,[status(thm)],[c_12533,c_81]) ).
tcf(c_14462,plain,
( aElementOf0(sdtasdt0(xx,xv),slsdtgt0(xv))
| ~ aElement0(xv)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_12533,c_68]) ).
tcf(c_14463,plain,
( aElement0(sdtasdt0(xx,xv))
| ~ aElement0(xv)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_12533,c_75]) ).
tcf(c_14464,plain,
aElement0(sdtasdt0(xx,xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_14463,c_55,c_1040]) ).
tcf(c_14465,plain,
aElementOf0(sdtasdt0(xx,xv),slsdtgt0(xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_14462,c_55,c_1040]) ).
tcf(c_14466,plain,
( ( xv = sz00 )
| ( xx = sz00 )
| ( sdtasdt0(xx,xv) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14461,c_55,c_1040]) ).
tcf(c_14470,plain,
sdtasdt0(sdtasdt0(xx,xv),sz00) = sdtasdt0(sz00,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1226]) ).
tcf(c_14471,plain,
sdtasdt0(sdtasdt0(xx,xv),xv) = sdtasdt0(xv,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1223]) ).
tcf(c_14472,plain,
sdtasdt0(sdtasdt0(xx,xv),xu) = sdtasdt0(xu,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1222]) ).
tcf(c_14473,plain,
sdtasdt0(sdtasdt0(xx,xv),xz) = sdtasdt0(xz,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1221]) ).
tcf(c_14474,plain,
sdtasdt0(sdtasdt0(xx,xv),xc) = sdtasdt0(xc,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1220]) ).
tcf(c_14475,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xx,xv),X0) = sdtpldt0(X0,sdtasdt0(xx,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14464,c_79]) ).
tcf(c_14476,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xx,xv),X0) = sdtasdt0(X0,sdtasdt0(xx,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14464,c_72]) ).
tcf(c_14477,plain,
sdtasdt0(sz00,sdtasdt0(xx,xv)) = sz00,
inference(superposition,[status(thm)],[c_14464,c_83]) ).
tcf(c_14478,plain,
sdtasdt0(sdtasdt0(xx,xv),sz00) = sz00,
inference(superposition,[status(thm)],[c_14464,c_82]) ).
tcf(c_14479,plain,
sdtpldt0(sz00,sdtasdt0(xx,xv)) = sdtasdt0(xx,xv),
inference(superposition,[status(thm)],[c_14464,c_77]) ).
tcf(c_14480,plain,
sdtpldt0(sdtasdt0(xx,xv),sz00) = sdtasdt0(xx,xv),
inference(superposition,[status(thm)],[c_14464,c_76]) ).
tcf(c_14481,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xx,xv),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xx,xv)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14464,c_74]) ).
tcf(c_14482,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xx,xv))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xx,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14464,c_73]) ).
tcf(c_14483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xx,xv)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xx,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14464,c_78]) ).
tcf(c_14484,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xx,xv)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xx,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14464,c_71]) ).
tcf(c_14521,plain,
( ( sdtasdt0(xv,sK4(xv,sdtasdt0(xx,xv))) = sdtasdt0(xx,xv) )
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_14465,c_70]) ).
tcf(c_14522,plain,
( aElement0(sK4(xv,sdtasdt0(xx,xv)))
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_14465,c_69]) ).
tcf(c_14523,plain,
aElement0(sK4(xv,sdtasdt0(xx,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_14522,c_55]) ).
tcf(c_14524,plain,
sdtasdt0(xv,sK4(xv,sdtasdt0(xx,xv))) = sdtasdt0(xx,xv),
inference(forward_subsumption_resolution,[status(thm)],[c_14521,c_55]) ).
tcf(c_14525,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),sz00) = sdtasdt0(sz00,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1226]) ).
tcf(c_14526,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),xv) = sdtasdt0(xv,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1223]) ).
tcf(c_14527,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),xu) = sdtasdt0(xu,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1222]) ).
tcf(c_14528,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),xz) = sdtasdt0(xz,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1221]) ).
tcf(c_14529,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),xc) = sdtasdt0(xc,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1220]) ).
tcf(c_14530,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xv,sdtasdt0(xx,xv)),X0) = sdtpldt0(X0,sK4(xv,sdtasdt0(xx,xv))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14523,c_79]) ).
tcf(c_14531,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),X0) = sdtasdt0(X0,sK4(xv,sdtasdt0(xx,xv))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14523,c_72]) ).
tcf(c_14532,plain,
sdtasdt0(sz00,sK4(xv,sdtasdt0(xx,xv))) = sz00,
inference(superposition,[status(thm)],[c_14523,c_83]) ).
tcf(c_14533,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14523,c_82]) ).
tcf(c_14534,plain,
sdtpldt0(sz00,sK4(xv,sdtasdt0(xx,xv))) = sK4(xv,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14523,c_77]) ).
tcf(c_14535,plain,
sdtpldt0(sK4(xv,sdtasdt0(xx,xv)),sz00) = sK4(xv,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14523,c_76]) ).
tcf(c_14536,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xv,sdtasdt0(xx,xv))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14523,c_74]) ).
tcf(c_14537,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xv,sdtasdt0(xx,xv)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xv,sdtasdt0(xx,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14523,c_73]) ).
tcf(c_14538,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xv,sdtasdt0(xx,xv))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xv,sdtasdt0(xx,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14523,c_78]) ).
tcf(c_14539,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xv,sdtasdt0(xx,xv))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xv,sdtasdt0(xx,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14523,c_71]) ).
tcf(c_14540,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),xv) = sdtasdt0(xx,xv),
inference(light_normalisation,[status(thm)],[c_14526,c_14524]) ).
tcf(c_14576,plain,
( ( xv = sz00 )
| ( xy = sz00 )
| ~ aElement0(xv)
| ~ aElement0(xy)
| ( sdtasdt0(xy,xv) != sz00 ) ),
inference(superposition,[status(thm)],[c_12534,c_81]) ).
tcf(c_14577,plain,
( aElementOf0(sdtasdt0(xy,xv),slsdtgt0(xv))
| ~ aElement0(xv)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_12534,c_68]) ).
tcf(c_14578,plain,
( aElement0(sdtasdt0(xy,xv))
| ~ aElement0(xv)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_12534,c_75]) ).
tcf(c_14579,plain,
aElement0(sdtasdt0(xy,xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_14578,c_55,c_1047]) ).
tcf(c_14580,plain,
aElementOf0(sdtasdt0(xy,xv),slsdtgt0(xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_14577,c_55,c_1047]) ).
tcf(c_14581,plain,
( ( xv = sz00 )
| ( xy = sz00 )
| ( sdtasdt0(xy,xv) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14576,c_55,c_1047]) ).
tcf(c_14585,plain,
sdtasdt0(sdtasdt0(xy,xv),sz00) = sdtasdt0(sz00,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1226]) ).
tcf(c_14586,plain,
sdtasdt0(sdtasdt0(xy,xv),xv) = sdtasdt0(xv,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1223]) ).
tcf(c_14587,plain,
sdtasdt0(sdtasdt0(xy,xv),xu) = sdtasdt0(xu,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1222]) ).
tcf(c_14588,plain,
sdtasdt0(sdtasdt0(xy,xv),xz) = sdtasdt0(xz,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1221]) ).
tcf(c_14589,plain,
sdtasdt0(sdtasdt0(xy,xv),xc) = sdtasdt0(xc,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1220]) ).
tcf(c_14590,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xy,xv),X0) = sdtpldt0(X0,sdtasdt0(xy,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14579,c_79]) ).
tcf(c_14591,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xy,xv),X0) = sdtasdt0(X0,sdtasdt0(xy,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14579,c_72]) ).
tcf(c_14592,plain,
sdtasdt0(sz00,sdtasdt0(xy,xv)) = sz00,
inference(superposition,[status(thm)],[c_14579,c_83]) ).
tcf(c_14593,plain,
sdtasdt0(sdtasdt0(xy,xv),sz00) = sz00,
inference(superposition,[status(thm)],[c_14579,c_82]) ).
tcf(c_14594,plain,
sdtpldt0(sz00,sdtasdt0(xy,xv)) = sdtasdt0(xy,xv),
inference(superposition,[status(thm)],[c_14579,c_77]) ).
tcf(c_14595,plain,
sdtpldt0(sdtasdt0(xy,xv),sz00) = sdtasdt0(xy,xv),
inference(superposition,[status(thm)],[c_14579,c_76]) ).
tcf(c_14596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xy,xv),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xy,xv)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14579,c_74]) ).
tcf(c_14597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xy,xv))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xy,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14579,c_73]) ).
tcf(c_14598,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xy,xv)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xy,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14579,c_78]) ).
tcf(c_14599,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xy,xv)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xy,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14579,c_71]) ).
tcf(c_14649,plain,
( ( sdtasdt0(xv,sK4(xv,sdtasdt0(xy,xv))) = sdtasdt0(xy,xv) )
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_14580,c_70]) ).
tcf(c_14650,plain,
( aElement0(sK4(xv,sdtasdt0(xy,xv)))
| ~ aElement0(xv) ),
inference(superposition,[status(thm)],[c_14580,c_69]) ).
tcf(c_14651,plain,
aElement0(sK4(xv,sdtasdt0(xy,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_14650,c_55]) ).
tcf(c_14652,plain,
sdtasdt0(xv,sK4(xv,sdtasdt0(xy,xv))) = sdtasdt0(xy,xv),
inference(forward_subsumption_resolution,[status(thm)],[c_14649,c_55]) ).
tcf(c_14653,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),sz00) = sdtasdt0(sz00,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1226]) ).
tcf(c_14654,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),xv) = sdtasdt0(xv,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1223]) ).
tcf(c_14655,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),xu) = sdtasdt0(xu,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1222]) ).
tcf(c_14656,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),xz) = sdtasdt0(xz,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1221]) ).
tcf(c_14657,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),xc) = sdtasdt0(xc,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1220]) ).
tcf(c_14658,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xv,sdtasdt0(xy,xv)),X0) = sdtpldt0(X0,sK4(xv,sdtasdt0(xy,xv))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14651,c_79]) ).
tcf(c_14659,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),X0) = sdtasdt0(X0,sK4(xv,sdtasdt0(xy,xv))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14651,c_72]) ).
tcf(c_14660,plain,
sdtasdt0(sz00,sK4(xv,sdtasdt0(xy,xv))) = sz00,
inference(superposition,[status(thm)],[c_14651,c_83]) ).
tcf(c_14661,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14651,c_82]) ).
tcf(c_14662,plain,
sdtpldt0(sz00,sK4(xv,sdtasdt0(xy,xv))) = sK4(xv,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14651,c_77]) ).
tcf(c_14663,plain,
sdtpldt0(sK4(xv,sdtasdt0(xy,xv)),sz00) = sK4(xv,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14651,c_76]) ).
tcf(c_14664,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xv,sdtasdt0(xy,xv))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14651,c_74]) ).
tcf(c_14665,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xv,sdtasdt0(xy,xv)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xv,sdtasdt0(xy,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14651,c_73]) ).
tcf(c_14666,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xv,sdtasdt0(xy,xv))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xv,sdtasdt0(xy,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14651,c_78]) ).
tcf(c_14667,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xv,sdtasdt0(xy,xv))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xv,sdtasdt0(xy,xv)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14651,c_71]) ).
tcf(c_14668,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),xv) = sdtasdt0(xy,xv),
inference(light_normalisation,[status(thm)],[c_14654,c_14652]) ).
tcf(c_14723,plain,
( aElementOf0(xy,slsdtgt0(sK4(xv,xy)))
| ~ aElement0(xv)
| ~ aElement0(sK4(xv,xy)) ),
inference(superposition,[status(thm)],[c_12627,c_68]) ).
tcf(c_14725,plain,
aElementOf0(xy,slsdtgt0(sK4(xv,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_14723,c_55,c_4887]) ).
tcf(c_14741,plain,
( ( sdtasdt0(sK4(xv,xy),sK4(sK4(xv,xy),xy)) = xy )
| ~ aElement0(sK4(xv,xy)) ),
inference(superposition,[status(thm)],[c_14725,c_70]) ).
tcf(c_14742,plain,
( aElement0(sK4(sK4(xv,xy),xy))
| ~ aElement0(sK4(xv,xy)) ),
inference(superposition,[status(thm)],[c_14725,c_69]) ).
tcf(c_14743,plain,
aElement0(sK4(sK4(xv,xy),xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_14742,c_4887]) ).
tcf(c_14744,plain,
sdtasdt0(sK4(xv,xy),sK4(sK4(xv,xy),xy)) = xy,
inference(forward_subsumption_resolution,[status(thm)],[c_14741,c_4887]) ).
tcf(c_14745,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),sz00) = sdtasdt0(sz00,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1226]) ).
tcf(c_14746,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),xv) = sdtasdt0(xv,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1223]) ).
tcf(c_14747,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),xu) = sdtasdt0(xu,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1222]) ).
tcf(c_14748,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),xz) = sdtasdt0(xz,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1221]) ).
tcf(c_14749,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),xc) = sdtasdt0(xc,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1220]) ).
tcf(c_14750,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xv,xy),xy),X0) = sdtpldt0(X0,sK4(sK4(xv,xy),xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14743,c_79]) ).
tcf(c_14751,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xv,xy),xy),X0) = sdtasdt0(X0,sK4(sK4(xv,xy),xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14743,c_72]) ).
tcf(c_14752,plain,
sdtasdt0(sz00,sK4(sK4(xv,xy),xy)) = sz00,
inference(superposition,[status(thm)],[c_14743,c_83]) ).
tcf(c_14753,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_14743,c_82]) ).
tcf(c_14754,plain,
sdtpldt0(sz00,sK4(sK4(xv,xy),xy)) = sK4(sK4(xv,xy),xy),
inference(superposition,[status(thm)],[c_14743,c_77]) ).
tcf(c_14755,plain,
sdtpldt0(sK4(sK4(xv,xy),xy),sz00) = sK4(sK4(xv,xy),xy),
inference(superposition,[status(thm)],[c_14743,c_76]) ).
tcf(c_14756,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xv,xy),xy),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xv,xy),xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14743,c_74]) ).
tcf(c_14757,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xv,xy),xy))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xv,xy),xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14743,c_73]) ).
tcf(c_14758,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xv,xy),xy)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xv,xy),xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14743,c_78]) ).
tcf(c_14759,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xv,xy),xy)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xv,xy),xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14743,c_71]) ).
tcf(c_14787,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xx,xv))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14477,c_64]) ).
tcf(c_14793,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xx,xv)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xx,xv)) ),
inference(superposition,[status(thm)],[c_14478,c_68]) ).
tcf(c_14795,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xx,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_14793,c_84,c_14464]) ).
tcf(c_14797,plain,
( ( sdtasdt0(sdtasdt0(xx,xv),sK4(sdtasdt0(xx,xv),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xx,xv)) ),
inference(superposition,[status(thm)],[c_14795,c_70]) ).
tcf(c_14798,plain,
( aElement0(sK4(sdtasdt0(xx,xv),sz00))
| ~ aElement0(sdtasdt0(xx,xv)) ),
inference(superposition,[status(thm)],[c_14795,c_69]) ).
tcf(c_14799,plain,
aElement0(sK4(sdtasdt0(xx,xv),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_14798,c_14464]) ).
tcf(c_14800,plain,
sdtasdt0(sdtasdt0(xx,xv),sK4(sdtasdt0(xx,xv),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_14797,c_14464]) ).
tcf(c_14815,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1226]) ).
tcf(c_14816,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1223]) ).
tcf(c_14817,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1222]) ).
tcf(c_14818,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1221]) ).
tcf(c_14819,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1220]) ).
tcf(c_14820,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xx,xv),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xx,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14799,c_79]) ).
tcf(c_14821,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xx,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14799,c_72]) ).
tcf(c_14822,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xx,xv),sz00)) = sz00,
inference(superposition,[status(thm)],[c_14799,c_83]) ).
tcf(c_14823,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_14799,c_82]) ).
tcf(c_14824,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xx,xv),sz00)) = sK4(sdtasdt0(xx,xv),sz00),
inference(superposition,[status(thm)],[c_14799,c_77]) ).
tcf(c_14825,plain,
sdtpldt0(sK4(sdtasdt0(xx,xv),sz00),sz00) = sK4(sdtasdt0(xx,xv),sz00),
inference(superposition,[status(thm)],[c_14799,c_76]) ).
tcf(c_14826,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xx,xv),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14799,c_74]) ).
tcf(c_14827,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xx,xv),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xx,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14799,c_73]) ).
tcf(c_14828,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xx,xv),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xx,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14799,c_78]) ).
tcf(c_14829,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xx,xv),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xx,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14799,c_71]) ).
tcf(c_14851,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xy,xv))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14592,c_64]) ).
tcf(c_14857,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xy,xv)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xy,xv)) ),
inference(superposition,[status(thm)],[c_14593,c_68]) ).
tcf(c_14859,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xy,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_14857,c_84,c_14579]) ).
tcf(c_14861,plain,
( ( sdtasdt0(sdtasdt0(xy,xv),sK4(sdtasdt0(xy,xv),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xy,xv)) ),
inference(superposition,[status(thm)],[c_14859,c_70]) ).
tcf(c_14862,plain,
( aElement0(sK4(sdtasdt0(xy,xv),sz00))
| ~ aElement0(sdtasdt0(xy,xv)) ),
inference(superposition,[status(thm)],[c_14859,c_69]) ).
tcf(c_14863,plain,
aElement0(sK4(sdtasdt0(xy,xv),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_14862,c_14579]) ).
tcf(c_14864,plain,
sdtasdt0(sdtasdt0(xy,xv),sK4(sdtasdt0(xy,xv),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_14861,c_14579]) ).
tcf(c_14865,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1226]) ).
tcf(c_14866,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1223]) ).
tcf(c_14867,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1222]) ).
tcf(c_14868,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1221]) ).
tcf(c_14869,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1220]) ).
tcf(c_14870,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xy,xv),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xy,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14863,c_79]) ).
tcf(c_14871,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xy,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14863,c_72]) ).
tcf(c_14872,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xy,xv),sz00)) = sz00,
inference(superposition,[status(thm)],[c_14863,c_83]) ).
tcf(c_14873,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_14863,c_82]) ).
tcf(c_14874,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xy,xv),sz00)) = sK4(sdtasdt0(xy,xv),sz00),
inference(superposition,[status(thm)],[c_14863,c_77]) ).
tcf(c_14875,plain,
sdtpldt0(sK4(sdtasdt0(xy,xv),sz00),sz00) = sK4(sdtasdt0(xy,xv),sz00),
inference(superposition,[status(thm)],[c_14863,c_76]) ).
tcf(c_14876,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xy,xv),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14863,c_74]) ).
tcf(c_14877,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xy,xv),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xy,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14863,c_73]) ).
tcf(c_14878,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xy,xv),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xy,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14863,c_78]) ).
tcf(c_14879,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xy,xv),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xy,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14863,c_71]) ).
tcf(c_15005,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xv,sdtasdt0(xx,xv)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14532,c_64]) ).
tcf(c_15011,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xv,sdtasdt0(xx,xv))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xv,sdtasdt0(xx,xv))) ),
inference(superposition,[status(thm)],[c_14533,c_68]) ).
tcf(c_15013,plain,
aElementOf0(sz00,slsdtgt0(sK4(xv,sdtasdt0(xx,xv)))),
inference(forward_subsumption_resolution,[status(thm)],[c_15011,c_84,c_14523]) ).
tcf(c_15015,plain,
( ( sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)) = sz00 )
| ~ aElement0(sK4(xv,sdtasdt0(xx,xv))) ),
inference(superposition,[status(thm)],[c_15013,c_70]) ).
tcf(c_15016,plain,
( aElement0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00))
| ~ aElement0(sK4(xv,sdtasdt0(xx,xv))) ),
inference(superposition,[status(thm)],[c_15013,c_69]) ).
tcf(c_15017,plain,
aElement0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_15016,c_14523]) ).
tcf(c_15018,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_15015,c_14523]) ).
tcf(c_15019,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1226]) ).
tcf(c_15020,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1223]) ).
tcf(c_15021,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1222]) ).
tcf(c_15022,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1221]) ).
tcf(c_15023,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1220]) ).
tcf(c_15024,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15017,c_79]) ).
tcf(c_15025,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15017,c_72]) ).
tcf(c_15026,plain,
sdtasdt0(sz00,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_15017,c_83]) ).
tcf(c_15027,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_15017,c_82]) ).
tcf(c_15028,plain,
sdtpldt0(sz00,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)) = sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),
inference(superposition,[status(thm)],[c_15017,c_77]) ).
tcf(c_15029,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),sz00) = sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),
inference(superposition,[status(thm)],[c_15017,c_76]) ).
tcf(c_15030,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15017,c_74]) ).
tcf(c_15031,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15017,c_73]) ).
tcf(c_15032,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15017,c_78]) ).
tcf(c_15033,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15017,c_71]) ).
tcf(c_15098,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xz,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xz,sz00))
| ~ aElement0(sK4(sK4(xz,sz00),sz00))
| ~ aElementOf0(sK2(sK4(xz,sz00),X0),X0)
| ( sK2(sK4(xz,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3392,c_64]) ).
tcf(c_15099,plain,
( ( sK4(xz,sz00) = sz00 )
| ( sK4(sK4(xz,sz00),sz00) = sz00 )
| ~ aElement0(sK4(xz,sz00))
| ~ aElement0(sK4(sK4(xz,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3392,c_81]) ).
tcf(c_15102,plain,
( ( sK4(xz,sz00) = sz00 )
| ( sK4(sK4(xz,sz00),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15099,c_1292,c_3391]) ).
tcf(c_15105,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xz,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(xz,sz00),X0),X0)
| ( sK2(sK4(xz,sz00),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15098,c_1292,c_3391]) ).
tcf(c_15111,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xv,sdtasdt0(xy,xv)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14660,c_64]) ).
tcf(c_15117,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xv,sdtasdt0(xy,xv))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xv,sdtasdt0(xy,xv))) ),
inference(superposition,[status(thm)],[c_14661,c_68]) ).
tcf(c_15119,plain,
aElementOf0(sz00,slsdtgt0(sK4(xv,sdtasdt0(xy,xv)))),
inference(forward_subsumption_resolution,[status(thm)],[c_15117,c_84,c_14651]) ).
tcf(c_15121,plain,
( ( sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)) = sz00 )
| ~ aElement0(sK4(xv,sdtasdt0(xy,xv))) ),
inference(superposition,[status(thm)],[c_15119,c_70]) ).
tcf(c_15122,plain,
( aElement0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00))
| ~ aElement0(sK4(xv,sdtasdt0(xy,xv))) ),
inference(superposition,[status(thm)],[c_15119,c_69]) ).
tcf(c_15123,plain,
aElement0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_15122,c_14651]) ).
tcf(c_15124,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_15121,c_14651]) ).
tcf(c_15125,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1226]) ).
tcf(c_15126,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1223]) ).
tcf(c_15127,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1222]) ).
tcf(c_15128,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1221]) ).
tcf(c_15129,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1220]) ).
tcf(c_15130,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15123,c_79]) ).
tcf(c_15131,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15123,c_72]) ).
tcf(c_15132,plain,
sdtasdt0(sz00,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_15123,c_83]) ).
tcf(c_15133,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_15123,c_82]) ).
tcf(c_15134,plain,
sdtpldt0(sz00,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)) = sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),
inference(superposition,[status(thm)],[c_15123,c_77]) ).
tcf(c_15135,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),sz00) = sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),
inference(superposition,[status(thm)],[c_15123,c_76]) ).
tcf(c_15136,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15123,c_74]) ).
tcf(c_15137,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15123,c_73]) ).
tcf(c_15138,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15123,c_78]) ).
tcf(c_15139,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15123,c_71]) ).
tcf(c_15175,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sK4(xv,xy),xy))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14752,c_64]) ).
tcf(c_15181,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sK4(xv,xy),xy)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sK4(xv,xy),xy)) ),
inference(superposition,[status(thm)],[c_14753,c_68]) ).
tcf(c_15183,plain,
aElementOf0(sz00,slsdtgt0(sK4(sK4(xv,xy),xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_15181,c_84,c_14743]) ).
tcf(c_15185,plain,
( ( sdtasdt0(sK4(sK4(xv,xy),xy),sK4(sK4(sK4(xv,xy),xy),sz00)) = sz00 )
| ~ aElement0(sK4(sK4(xv,xy),xy)) ),
inference(superposition,[status(thm)],[c_15183,c_70]) ).
tcf(c_15186,plain,
( aElement0(sK4(sK4(sK4(xv,xy),xy),sz00))
| ~ aElement0(sK4(sK4(xv,xy),xy)) ),
inference(superposition,[status(thm)],[c_15183,c_69]) ).
tcf(c_15187,plain,
aElement0(sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_15186,c_14743]) ).
tcf(c_15188,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),sK4(sK4(sK4(xv,xy),xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_15185,c_14743]) ).
tcf(c_15189,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1226]) ).
tcf(c_15190,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),xv) = sdtasdt0(xv,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1223]) ).
tcf(c_15191,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),xu) = sdtasdt0(xu,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1222]) ).
tcf(c_15192,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),xz) = sdtasdt0(xz,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1221]) ).
tcf(c_15193,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),xc) = sdtasdt0(xc,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1220]) ).
tcf(c_15194,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sK4(xv,xy),xy),sz00),X0) = sdtpldt0(X0,sK4(sK4(sK4(xv,xy),xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15187,c_79]) ).
tcf(c_15195,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),X0) = sdtasdt0(X0,sK4(sK4(sK4(xv,xy),xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15187,c_72]) ).
tcf(c_15196,plain,
sdtasdt0(sz00,sK4(sK4(sK4(xv,xy),xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_15187,c_83]) ).
tcf(c_15197,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_15187,c_82]) ).
tcf(c_15198,plain,
sdtpldt0(sz00,sK4(sK4(sK4(xv,xy),xy),sz00)) = sK4(sK4(sK4(xv,xy),xy),sz00),
inference(superposition,[status(thm)],[c_15187,c_77]) ).
tcf(c_15199,plain,
sdtpldt0(sK4(sK4(sK4(xv,xy),xy),sz00),sz00) = sK4(sK4(sK4(xv,xy),xy),sz00),
inference(superposition,[status(thm)],[c_15187,c_76]) ).
tcf(c_15200,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sK4(xv,xy),xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15187,c_74]) ).
tcf(c_15201,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sK4(xv,xy),xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xv,xy),xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15187,c_73]) ).
tcf(c_15202,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sK4(xv,xy),xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sK4(xv,xy),xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15187,c_78]) ).
tcf(c_15203,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sK4(xv,xy),xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sK4(xv,xy),xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15187,c_71]) ).
tcf(c_15245,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xx,xv),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14822,c_64]) ).
tcf(c_15251,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xx,xv),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xx,xv),sz00)) ),
inference(superposition,[status(thm)],[c_14823,c_68]) ).
tcf(c_15253,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xx,xv),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_15251,c_84,c_14799]) ).
tcf(c_15255,plain,
( ( sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xx,xv),sz00)) ),
inference(superposition,[status(thm)],[c_15253,c_70]) ).
tcf(c_15256,plain,
( aElement0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xx,xv),sz00)) ),
inference(superposition,[status(thm)],[c_15253,c_69]) ).
tcf(c_15257,plain,
aElement0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_15256,c_14799]) ).
tcf(c_15258,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_15255,c_14799]) ).
tcf(c_15259,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1226]) ).
tcf(c_15260,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1223]) ).
tcf(c_15261,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1222]) ).
tcf(c_15262,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1221]) ).
tcf(c_15263,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1220]) ).
tcf(c_15264,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15257,c_79]) ).
tcf(c_15265,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15257,c_72]) ).
tcf(c_15266,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_15257,c_83]) ).
tcf(c_15267,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_15257,c_82]) ).
tcf(c_15268,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)) = sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_15257,c_77]) ).
tcf(c_15269,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_15257,c_76]) ).
tcf(c_15270,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15257,c_74]) ).
tcf(c_15271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15257,c_73]) ).
tcf(c_15272,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15257,c_78]) ).
tcf(c_15273,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15257,c_71]) ).
tcf(c_15309,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xy,xv),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14872,c_64]) ).
tcf(c_15315,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xy,xv),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xy,xv),sz00)) ),
inference(superposition,[status(thm)],[c_14873,c_68]) ).
tcf(c_15317,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xy,xv),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_15315,c_84,c_14863]) ).
tcf(c_15319,plain,
( ( sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xy,xv),sz00)) ),
inference(superposition,[status(thm)],[c_15317,c_70]) ).
tcf(c_15320,plain,
( aElement0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xy,xv),sz00)) ),
inference(superposition,[status(thm)],[c_15317,c_69]) ).
tcf(c_15321,plain,
aElement0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_15320,c_14863]) ).
tcf(c_15322,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_15319,c_14863]) ).
tcf(c_15323,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1226]) ).
tcf(c_15324,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1223]) ).
tcf(c_15325,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1222]) ).
tcf(c_15326,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1221]) ).
tcf(c_15327,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1220]) ).
tcf(c_15328,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15321,c_79]) ).
tcf(c_15329,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15321,c_72]) ).
tcf(c_15330,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_15321,c_83]) ).
tcf(c_15331,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_15321,c_82]) ).
tcf(c_15332,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)) = sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_15321,c_77]) ).
tcf(c_15333,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_15321,c_76]) ).
tcf(c_15334,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15321,c_74]) ).
tcf(c_15335,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15321,c_73]) ).
tcf(c_15336,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15321,c_78]) ).
tcf(c_15337,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15321,c_71]) ).
tcf(c_15386,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(xx,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1227]) ).
tcf(c_15387,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xx) = sdtasdt0(xx,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1227]) ).
tcf(c_15389,plain,
sdtasdt0(sK4(sz00,sz00),xx) = sdtasdt0(xx,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1227]) ).
tcf(c_15391,plain,
sdtasdt0(xx,xy) = sdtasdt0(xy,xx),
inference(superposition,[status(thm)],[c_1047,c_1227]) ).
tcf(c_15392,plain,
sdtasdt0(sdtpldt0(xx,xy),xx) = sdtasdt0(xx,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1227]) ).
tcf(c_15393,plain,
sdtasdt0(sK4(xc,xx),xx) = sdtasdt0(xx,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1227]) ).
tcf(c_15394,plain,
sdtasdt0(sK4(xc,xy),xx) = sdtasdt0(xx,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1227]) ).
tcf(c_15395,plain,
sdtasdt0(sK4(xy,sz00),xx) = sdtasdt0(xx,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1227]) ).
tcf(c_15396,plain,
sdtasdt0(sK4(xx,sz00),xx) = sdtasdt0(xx,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1227]) ).
tcf(c_15397,plain,
sdtasdt0(sK4(xv,sz00),xx) = sdtasdt0(xx,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1227]) ).
tcf(c_15398,plain,
sdtasdt0(sK4(xu,sz00),xx) = sdtasdt0(xx,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1227]) ).
tcf(c_15399,plain,
sdtasdt0(sK4(xz,sz00),xx) = sdtasdt0(xx,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1227]) ).
tcf(c_15400,plain,
sdtasdt0(sK4(xc,sz00),xx) = sdtasdt0(xx,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1227]) ).
tcf(c_15401,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),xx) = sdtasdt0(xx,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1227]) ).
tcf(c_15402,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),xx) = sdtasdt0(xx,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1227]) ).
tcf(c_15403,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1227]) ).
tcf(c_15404,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1227]) ).
tcf(c_15405,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1227]) ).
tcf(c_15406,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1227]) ).
tcf(c_15407,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1227]) ).
tcf(c_15408,plain,
sdtasdt0(sdtasdt0(xu,xz),xx) = sdtasdt0(xx,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1227]) ).
tcf(c_15409,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1227]) ).
tcf(c_15410,plain,
sdtasdt0(sdtasdt0(xx,xz),xx) = sdtasdt0(xx,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1227]) ).
tcf(c_15411,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1227]) ).
tcf(c_15412,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1227]) ).
tcf(c_15413,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1227]) ).
tcf(c_15414,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1227]) ).
tcf(c_15415,plain,
sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1227]) ).
tcf(c_15416,plain,
sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1227]) ).
tcf(c_15417,plain,
sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1227]) ).
tcf(c_15418,plain,
sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1227]) ).
tcf(c_15419,plain,
sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1227]) ).
tcf(c_15420,plain,
sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1227]) ).
tcf(c_15421,plain,
sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1227]) ).
tcf(c_15422,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1227]) ).
tcf(c_15423,plain,
sdtasdt0(sK4(xv,xy),xx) = sdtasdt0(xx,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1227]) ).
tcf(c_15424,plain,
sdtasdt0(sK4(xu,xx),xx) = sdtasdt0(xx,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1227]) ).
tcf(c_15425,plain,
sdtasdt0(sdtasdt0(xc,xz),xx) = sdtasdt0(xx,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1227]) ).
tcf(c_15426,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),xx) = sdtasdt0(xx,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1227]) ).
tcf(c_15427,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),xx) = sdtasdt0(xx,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1227]) ).
tcf(c_15428,plain,
sdtasdt0(sdtasdt0(xc,xx),xx) = sdtasdt0(xx,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1227]) ).
tcf(c_15429,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),xx) = sdtasdt0(xx,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1227]) ).
tcf(c_15430,plain,
sdtasdt0(sdtasdt0(xc,xy),xx) = sdtasdt0(xx,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1227]) ).
tcf(c_15431,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),xx) = sdtasdt0(xx,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1227]) ).
tcf(c_15432,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),xx) = sdtasdt0(xx,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1227]) ).
tcf(c_15433,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),xx) = sdtasdt0(xx,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1227]) ).
tcf(c_15434,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),xx) = sdtasdt0(xx,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1227]) ).
tcf(c_15435,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1227]) ).
tcf(c_15436,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1227]) ).
tcf(c_15437,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1227]) ).
tcf(c_15438,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1227]) ).
tcf(c_15439,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1227]) ).
tcf(c_15440,plain,
sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1227]) ).
tcf(c_15441,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1227]) ).
tcf(c_15442,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1227]) ).
tcf(c_15443,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1227]) ).
tcf(c_15444,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1227]) ).
tcf(c_15445,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1227]) ).
tcf(c_15446,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1227]) ).
tcf(c_15447,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1227]) ).
tcf(c_15448,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),xx) = sdtasdt0(xx,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1227]) ).
tcf(c_15449,plain,
sdtasdt0(sdtasdt0(xz,xv),xx) = sdtasdt0(xx,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1227]) ).
tcf(c_15450,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),xx) = sdtasdt0(xx,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1227]) ).
tcf(c_15451,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1227]) ).
tcf(c_15452,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),xx) = sdtasdt0(xx,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1227]) ).
tcf(c_15453,plain,
sdtasdt0(sdtasdt0(xy,xz),xx) = sdtasdt0(xx,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1227]) ).
tcf(c_15454,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),xx) = sdtasdt0(xx,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1227]) ).
tcf(c_15455,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1227]) ).
tcf(c_15456,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1227]) ).
tcf(c_15457,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1227]) ).
tcf(c_15458,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1227]) ).
tcf(c_15459,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1227]) ).
tcf(c_15460,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1227]) ).
tcf(c_15461,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1227]) ).
tcf(c_15462,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1227]) ).
tcf(c_15463,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1227]) ).
tcf(c_15464,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1227]) ).
tcf(c_15465,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1227]) ).
tcf(c_15466,plain,
sdtasdt0(sdtasdt0(xu,xv),xx) = sdtasdt0(xx,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1227]) ).
tcf(c_15467,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),xx) = sdtasdt0(xx,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1227]) ).
tcf(c_15468,plain,
sdtasdt0(sdtasdt0(xx,xu),xx) = sdtasdt0(xx,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1227]) ).
tcf(c_15469,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),xx) = sdtasdt0(xx,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1227]) ).
tcf(c_15470,plain,
sdtasdt0(sdtasdt0(xu,xy),xx) = sdtasdt0(xx,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1227]) ).
tcf(c_15471,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),xx) = sdtasdt0(xx,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1227]) ).
tcf(c_15472,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1227]) ).
tcf(c_15473,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),xx) = sdtasdt0(xx,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1227]) ).
tcf(c_15474,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1227]) ).
tcf(c_15475,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1227]) ).
tcf(c_15476,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1227]) ).
tcf(c_15477,plain,
sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1227]) ).
tcf(c_15478,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1227]) ).
tcf(c_15479,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1227]) ).
tcf(c_15480,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1227]) ).
tcf(c_15481,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1227]) ).
tcf(c_15482,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1227]) ).
tcf(c_15483,plain,
sdtasdt0(sdtasdt0(xx,xv),xx) = sdtasdt0(xx,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1227]) ).
tcf(c_15484,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),xx) = sdtasdt0(xx,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1227]) ).
tcf(c_15485,plain,
sdtasdt0(sdtasdt0(xy,xv),xx) = sdtasdt0(xx,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1227]) ).
tcf(c_15486,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),xx) = sdtasdt0(xx,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1227]) ).
tcf(c_15487,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),xx) = sdtasdt0(xx,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1227]) ).
tcf(c_15488,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1227]) ).
tcf(c_15489,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1227]) ).
tcf(c_15490,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1227]) ).
tcf(c_15491,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1227]) ).
tcf(c_15492,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),xx) = sdtasdt0(xx,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1227]) ).
tcf(c_15493,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1227]) ).
tcf(c_15494,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1227]) ).
tcf(c_15495,plain,
sdtasdt0(sK4(xx,sz00),xx) = sz00,
inference(light_normalisation,[status(thm)],[c_15396,c_1462]) ).
tcf(c_15496,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),xx) = sdtasdt0(xc,xx),
inference(light_normalisation,[status(thm)],[c_15429,c_5543]) ).
tcf(c_15669,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xy) = sdtasdt0(xy,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1228]) ).
tcf(c_15670,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xy) = sdtasdt0(xy,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1228]) ).
tcf(c_15672,plain,
sdtasdt0(sK4(sz00,sz00),xy) = sdtasdt0(xy,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1228]) ).
tcf(c_15675,plain,
sdtasdt0(sdtpldt0(xx,xy),xy) = sdtasdt0(xy,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1228]) ).
tcf(c_15676,plain,
sdtasdt0(sK4(xc,xx),xy) = sdtasdt0(xy,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1228]) ).
tcf(c_15677,plain,
sdtasdt0(sK4(xc,xy),xy) = sdtasdt0(xy,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1228]) ).
tcf(c_15678,plain,
sdtasdt0(sK4(xy,sz00),xy) = sdtasdt0(xy,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1228]) ).
tcf(c_15679,plain,
sdtasdt0(sK4(xx,sz00),xy) = sdtasdt0(xy,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1228]) ).
tcf(c_15680,plain,
sdtasdt0(sK4(xv,sz00),xy) = sdtasdt0(xy,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1228]) ).
tcf(c_15681,plain,
sdtasdt0(sK4(xu,sz00),xy) = sdtasdt0(xy,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1228]) ).
tcf(c_15682,plain,
sdtasdt0(sK4(xz,sz00),xy) = sdtasdt0(xy,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1228]) ).
tcf(c_15683,plain,
sdtasdt0(sK4(xc,sz00),xy) = sdtasdt0(xy,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1228]) ).
tcf(c_15684,plain,
sdtasdt0(sK4(sK4(xc,xy),sz00),xy) = sdtasdt0(xy,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1228]) ).
tcf(c_15685,plain,
sdtasdt0(sK4(sK4(xc,xx),sz00),xy) = sdtasdt0(xy,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1228]) ).
tcf(c_15686,plain,
sdtasdt0(sK4(sK4(sz00,sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1228]) ).
tcf(c_15687,plain,
sdtasdt0(sK4(sK4(xy,sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1228]) ).
tcf(c_15688,plain,
sdtasdt0(sK4(sK4(xx,sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1228]) ).
tcf(c_15689,plain,
sdtasdt0(sK4(sK4(xv,sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1228]) ).
tcf(c_15690,plain,
sdtasdt0(sK4(sK4(xu,sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1228]) ).
tcf(c_15691,plain,
sdtasdt0(sdtasdt0(xu,xz),xy) = sdtasdt0(xy,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1228]) ).
tcf(c_15692,plain,
sdtasdt0(sK4(sK4(xz,sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1228]) ).
tcf(c_15693,plain,
sdtasdt0(sdtasdt0(xx,xz),xy) = sdtasdt0(xy,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1228]) ).
tcf(c_15694,plain,
sdtasdt0(sK4(sK4(xc,sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1228]) ).
tcf(c_15695,plain,
sdtasdt0(sK4(sdtpldt0(xx,xy),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1228]) ).
tcf(c_15696,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1228]) ).
tcf(c_15697,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1228]) ).
tcf(c_15698,plain,
sdtasdt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1228]) ).
tcf(c_15699,plain,
sdtasdt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1228]) ).
tcf(c_15700,plain,
sdtasdt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1228]) ).
tcf(c_15701,plain,
sdtasdt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1228]) ).
tcf(c_15702,plain,
sdtasdt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1228]) ).
tcf(c_15703,plain,
sdtasdt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1228]) ).
tcf(c_15704,plain,
sdtasdt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1228]) ).
tcf(c_15705,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1228]) ).
tcf(c_15706,plain,
sdtasdt0(sK4(xv,xy),xy) = sdtasdt0(xy,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1228]) ).
tcf(c_15707,plain,
sdtasdt0(sK4(xu,xx),xy) = sdtasdt0(xy,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1228]) ).
tcf(c_15708,plain,
sdtasdt0(sdtasdt0(xc,xz),xy) = sdtasdt0(xy,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1228]) ).
tcf(c_15709,plain,
sdtasdt0(sK4(xz,sdtasdt0(xc,xz)),xy) = sdtasdt0(xy,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1228]) ).
tcf(c_15710,plain,
sdtasdt0(sK4(sK4(xv,xy),sz00),xy) = sdtasdt0(xy,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1228]) ).
tcf(c_15711,plain,
sdtasdt0(sdtasdt0(xc,xx),xy) = sdtasdt0(xy,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1228]) ).
tcf(c_15712,plain,
sdtasdt0(sK4(xx,sdtasdt0(xc,xx)),xy) = sdtasdt0(xy,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1228]) ).
tcf(c_15713,plain,
sdtasdt0(sdtasdt0(xc,xy),xy) = sdtasdt0(xy,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1228]) ).
tcf(c_15714,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),xy) = sdtasdt0(xy,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1228]) ).
tcf(c_15715,plain,
sdtasdt0(sK4(sK4(xc,xy),xy),xy) = sdtasdt0(xy,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1228]) ).
tcf(c_15716,plain,
sdtasdt0(sK4(sK4(xc,xx),xx),xy) = sdtasdt0(xy,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1228]) ).
tcf(c_15717,plain,
sdtasdt0(sK4(sK4(xu,xx),sz00),xy) = sdtasdt0(xy,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1228]) ).
tcf(c_15718,plain,
sdtasdt0(sK4(sdtasdt0(xc,xz),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1228]) ).
tcf(c_15719,plain,
sdtasdt0(sK4(sdtasdt0(xc,xx),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1228]) ).
tcf(c_15720,plain,
sdtasdt0(sK4(sdtasdt0(xc,xy),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1228]) ).
tcf(c_15721,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1228]) ).
tcf(c_15722,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1228]) ).
tcf(c_15723,plain,
sdtasdt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1228]) ).
tcf(c_15724,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1228]) ).
tcf(c_15725,plain,
sdtasdt0(sK4(sK4(sK4(xc,xy),xy),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1228]) ).
tcf(c_15726,plain,
sdtasdt0(sK4(sK4(sK4(xc,xx),xx),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1228]) ).
tcf(c_15727,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1228]) ).
tcf(c_15728,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1228]) ).
tcf(c_15729,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1228]) ).
tcf(c_15730,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1228]) ).
tcf(c_15731,plain,
sdtasdt0(sK4(xz,sdtasdt0(xu,xz)),xy) = sdtasdt0(xy,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1228]) ).
tcf(c_15732,plain,
sdtasdt0(sdtasdt0(xz,xv),xy) = sdtasdt0(xy,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1228]) ).
tcf(c_15733,plain,
sdtasdt0(sK4(xv,sdtasdt0(xz,xv)),xy) = sdtasdt0(xy,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1228]) ).
tcf(c_15734,plain,
sdtasdt0(sK4(sdtasdt0(xu,xz),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1228]) ).
tcf(c_15735,plain,
sdtasdt0(sK4(xz,sdtasdt0(xx,xz)),xy) = sdtasdt0(xy,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1228]) ).
tcf(c_15736,plain,
sdtasdt0(sdtasdt0(xy,xz),xy) = sdtasdt0(xy,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1228]) ).
tcf(c_15737,plain,
sdtasdt0(sK4(xz,sdtasdt0(xy,xz)),xy) = sdtasdt0(xy,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1228]) ).
tcf(c_15738,plain,
sdtasdt0(sK4(sdtasdt0(xz,xv),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1228]) ).
tcf(c_15739,plain,
sdtasdt0(sK4(sdtasdt0(xx,xz),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1228]) ).
tcf(c_15740,plain,
sdtasdt0(sK4(sdtasdt0(xy,xz),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1228]) ).
tcf(c_15741,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1228]) ).
tcf(c_15742,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1228]) ).
tcf(c_15743,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1228]) ).
tcf(c_15744,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1228]) ).
tcf(c_15745,plain,
sdtasdt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1228]) ).
tcf(c_15746,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1228]) ).
tcf(c_15747,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1228]) ).
tcf(c_15748,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1228]) ).
tcf(c_15749,plain,
sdtasdt0(sdtasdt0(xu,xv),xy) = sdtasdt0(xy,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1228]) ).
tcf(c_15750,plain,
sdtasdt0(sK4(xv,sdtasdt0(xu,xv)),xy) = sdtasdt0(xy,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1228]) ).
tcf(c_15751,plain,
sdtasdt0(sdtasdt0(xx,xu),xy) = sdtasdt0(xy,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1228]) ).
tcf(c_15752,plain,
sdtasdt0(sK4(xu,sdtasdt0(xx,xu)),xy) = sdtasdt0(xy,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1228]) ).
tcf(c_15753,plain,
sdtasdt0(sdtasdt0(xu,xy),xy) = sdtasdt0(xy,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1228]) ).
tcf(c_15754,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),xy) = sdtasdt0(xy,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1228]) ).
tcf(c_15755,plain,
sdtasdt0(sK4(sdtasdt0(xu,xv),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1228]) ).
tcf(c_15756,plain,
sdtasdt0(sK4(sK4(xu,xx),xx),xy) = sdtasdt0(xy,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1228]) ).
tcf(c_15757,plain,
sdtasdt0(sK4(sdtasdt0(xx,xu),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1228]) ).
tcf(c_15758,plain,
sdtasdt0(sK4(sdtasdt0(xu,xy),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1228]) ).
tcf(c_15759,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1228]) ).
tcf(c_15760,plain,
sdtasdt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1228]) ).
tcf(c_15761,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1228]) ).
tcf(c_15762,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1228]) ).
tcf(c_15763,plain,
sdtasdt0(sK4(sK4(sK4(xu,xx),xx),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1228]) ).
tcf(c_15764,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1228]) ).
tcf(c_15765,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1228]) ).
tcf(c_15766,plain,
sdtasdt0(sdtasdt0(xx,xv),xy) = sdtasdt0(xy,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1228]) ).
tcf(c_15767,plain,
sdtasdt0(sK4(xv,sdtasdt0(xx,xv)),xy) = sdtasdt0(xy,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1228]) ).
tcf(c_15768,plain,
sdtasdt0(sdtasdt0(xy,xv),xy) = sdtasdt0(xy,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1228]) ).
tcf(c_15769,plain,
sdtasdt0(sK4(xv,sdtasdt0(xy,xv)),xy) = sdtasdt0(xy,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1228]) ).
tcf(c_15770,plain,
sdtasdt0(sK4(sK4(xv,xy),xy),xy) = sdtasdt0(xy,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1228]) ).
tcf(c_15771,plain,
sdtasdt0(sK4(sdtasdt0(xx,xv),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1228]) ).
tcf(c_15772,plain,
sdtasdt0(sK4(sdtasdt0(xy,xv),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1228]) ).
tcf(c_15773,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1228]) ).
tcf(c_15774,plain,
sdtasdt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1228]) ).
tcf(c_15775,plain,
sdtasdt0(sK4(sK4(sK4(xv,xy),xy),sz00),xy) = sdtasdt0(xy,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1228]) ).
tcf(c_15776,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1228]) ).
tcf(c_15777,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1228]) ).
tcf(c_15778,plain,
sdtasdt0(sK4(xy,sz00),xy) = sz00,
inference(light_normalisation,[status(thm)],[c_15678,c_1461]) ).
tcf(c_15779,plain,
sdtasdt0(sK4(xy,sdtasdt0(xu,xy)),xy) = sdtasdt0(xu,xy),
inference(light_normalisation,[status(thm)],[c_15754,c_11370]) ).
tcf(c_15780,plain,
sdtasdt0(sK4(xy,sdtasdt0(xc,xy)),xy) = sdtasdt0(xc,xy),
inference(light_normalisation,[status(thm)],[c_15714,c_5741]) ).
tcf(c_16001,plain,
sdtpldt0(xc,xz) = sdtpldt0(xz,xc),
inference(superposition,[status(thm)],[c_52,c_1387]) ).
tcf(c_16002,plain,
sdtpldt0(xc,xu) = sdtpldt0(xu,xc),
inference(superposition,[status(thm)],[c_53,c_1387]) ).
tcf(c_16003,plain,
sdtpldt0(xc,xv) = sdtpldt0(xv,xc),
inference(superposition,[status(thm)],[c_55,c_1387]) ).
tcf(c_16004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xc) = sdtpldt0(xc,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1387]) ).
tcf(c_16005,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xc) = sdtpldt0(xc,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1387]) ).
tcf(c_16006,plain,
sdtpldt0(xc,sz00) = sdtpldt0(sz00,xc),
inference(superposition,[status(thm)],[c_84,c_1387]) ).
tcf(c_16007,plain,
sdtpldt0(sK4(sz00,sz00),xc) = sdtpldt0(xc,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1387]) ).
tcf(c_16008,plain,
sdtpldt0(xc,xx) = sdtpldt0(xx,xc),
inference(superposition,[status(thm)],[c_1040,c_1387]) ).
tcf(c_16009,plain,
sdtpldt0(xc,xy) = sdtpldt0(xy,xc),
inference(superposition,[status(thm)],[c_1047,c_1387]) ).
tcf(c_16010,plain,
sdtpldt0(sdtpldt0(xx,xy),xc) = sdtpldt0(xc,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1387]) ).
tcf(c_16011,plain,
sdtpldt0(sK4(xc,xx),xc) = sdtpldt0(xc,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1387]) ).
tcf(c_16012,plain,
sdtpldt0(sK4(xc,xy),xc) = sdtpldt0(xc,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1387]) ).
tcf(c_16013,plain,
sdtpldt0(sK4(xy,sz00),xc) = sdtpldt0(xc,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1387]) ).
tcf(c_16014,plain,
sdtpldt0(sK4(xx,sz00),xc) = sdtpldt0(xc,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1387]) ).
tcf(c_16015,plain,
sdtpldt0(sK4(xv,sz00),xc) = sdtpldt0(xc,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1387]) ).
tcf(c_16016,plain,
sdtpldt0(sK4(xu,sz00),xc) = sdtpldt0(xc,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1387]) ).
tcf(c_16017,plain,
sdtpldt0(sK4(xz,sz00),xc) = sdtpldt0(xc,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1387]) ).
tcf(c_16018,plain,
sdtpldt0(sK4(xc,sz00),xc) = sdtpldt0(xc,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1387]) ).
tcf(c_16019,plain,
sdtpldt0(sK4(sK4(xc,xy),sz00),xc) = sdtpldt0(xc,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1387]) ).
tcf(c_16020,plain,
sdtpldt0(sK4(sK4(xc,xx),sz00),xc) = sdtpldt0(xc,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1387]) ).
tcf(c_16021,plain,
sdtpldt0(sK4(sK4(sz00,sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1387]) ).
tcf(c_16022,plain,
sdtpldt0(sK4(sK4(xy,sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1387]) ).
tcf(c_16023,plain,
sdtpldt0(sK4(sK4(xx,sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1387]) ).
tcf(c_16024,plain,
sdtpldt0(sK4(sK4(xv,sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1387]) ).
tcf(c_16025,plain,
sdtpldt0(sK4(sK4(xu,sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1387]) ).
tcf(c_16026,plain,
sdtpldt0(sdtasdt0(xu,xz),xc) = sdtpldt0(xc,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1387]) ).
tcf(c_16027,plain,
sdtpldt0(sK4(sK4(xz,sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1387]) ).
tcf(c_16028,plain,
sdtpldt0(sdtasdt0(xx,xz),xc) = sdtpldt0(xc,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1387]) ).
tcf(c_16029,plain,
sdtpldt0(sK4(sK4(xc,sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1387]) ).
tcf(c_16030,plain,
sdtpldt0(sK4(sdtpldt0(xx,xy),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1387]) ).
tcf(c_16031,plain,
sdtpldt0(sK4(sK4(sK4(xc,xy),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1387]) ).
tcf(c_16032,plain,
sdtpldt0(sK4(sK4(sK4(xc,xx),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1387]) ).
tcf(c_16033,plain,
sdtpldt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1387]) ).
tcf(c_16034,plain,
sdtpldt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1387]) ).
tcf(c_16035,plain,
sdtpldt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1387]) ).
tcf(c_16036,plain,
sdtpldt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1387]) ).
tcf(c_16037,plain,
sdtpldt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1387]) ).
tcf(c_16038,plain,
sdtpldt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1387]) ).
tcf(c_16039,plain,
sdtpldt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1387]) ).
tcf(c_16040,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1387]) ).
tcf(c_16041,plain,
sdtpldt0(sK4(xv,xy),xc) = sdtpldt0(xc,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1387]) ).
tcf(c_16042,plain,
sdtpldt0(sK4(xu,xx),xc) = sdtpldt0(xc,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1387]) ).
tcf(c_16043,plain,
sdtpldt0(sdtasdt0(xc,xz),xc) = sdtpldt0(xc,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1387]) ).
tcf(c_16044,plain,
sdtpldt0(sK4(xz,sdtasdt0(xc,xz)),xc) = sdtpldt0(xc,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1387]) ).
tcf(c_16045,plain,
sdtpldt0(sK4(sK4(xv,xy),sz00),xc) = sdtpldt0(xc,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1387]) ).
tcf(c_16046,plain,
sdtpldt0(sdtasdt0(xc,xx),xc) = sdtpldt0(xc,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1387]) ).
tcf(c_16047,plain,
sdtpldt0(sK4(xx,sdtasdt0(xc,xx)),xc) = sdtpldt0(xc,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1387]) ).
tcf(c_16048,plain,
sdtpldt0(sdtasdt0(xc,xy),xc) = sdtpldt0(xc,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1387]) ).
tcf(c_16049,plain,
sdtpldt0(sK4(xy,sdtasdt0(xc,xy)),xc) = sdtpldt0(xc,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1387]) ).
tcf(c_16050,plain,
sdtpldt0(sK4(sK4(xc,xy),xy),xc) = sdtpldt0(xc,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1387]) ).
tcf(c_16051,plain,
sdtpldt0(sK4(sK4(xc,xx),xx),xc) = sdtpldt0(xc,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1387]) ).
tcf(c_16052,plain,
sdtpldt0(sK4(sK4(xu,xx),sz00),xc) = sdtpldt0(xc,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1387]) ).
tcf(c_16053,plain,
sdtpldt0(sK4(sdtasdt0(xc,xz),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1387]) ).
tcf(c_16054,plain,
sdtpldt0(sK4(sdtasdt0(xc,xx),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1387]) ).
tcf(c_16055,plain,
sdtpldt0(sK4(sdtasdt0(xc,xy),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1387]) ).
tcf(c_16056,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1387]) ).
tcf(c_16057,plain,
sdtpldt0(sK4(sK4(sK4(xv,xy),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1387]) ).
tcf(c_16058,plain,
sdtpldt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1387]) ).
tcf(c_16059,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1387]) ).
tcf(c_16060,plain,
sdtpldt0(sK4(sK4(sK4(xc,xy),xy),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1387]) ).
tcf(c_16061,plain,
sdtpldt0(sK4(sK4(sK4(xc,xx),xx),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1387]) ).
tcf(c_16062,plain,
sdtpldt0(sK4(sK4(sK4(xu,xx),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1387]) ).
tcf(c_16063,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1387]) ).
tcf(c_16064,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1387]) ).
tcf(c_16065,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1387]) ).
tcf(c_16066,plain,
sdtpldt0(sK4(xz,sdtasdt0(xu,xz)),xc) = sdtpldt0(xc,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1387]) ).
tcf(c_16067,plain,
sdtpldt0(sdtasdt0(xz,xv),xc) = sdtpldt0(xc,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1387]) ).
tcf(c_16068,plain,
sdtpldt0(sK4(xv,sdtasdt0(xz,xv)),xc) = sdtpldt0(xc,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1387]) ).
tcf(c_16069,plain,
sdtpldt0(sK4(sdtasdt0(xu,xz),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1387]) ).
tcf(c_16070,plain,
sdtpldt0(sK4(xz,sdtasdt0(xx,xz)),xc) = sdtpldt0(xc,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1387]) ).
tcf(c_16071,plain,
sdtpldt0(sdtasdt0(xy,xz),xc) = sdtpldt0(xc,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1387]) ).
tcf(c_16072,plain,
sdtpldt0(sK4(xz,sdtasdt0(xy,xz)),xc) = sdtpldt0(xc,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1387]) ).
tcf(c_16073,plain,
sdtpldt0(sK4(sdtasdt0(xz,xv),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1387]) ).
tcf(c_16074,plain,
sdtpldt0(sK4(sdtasdt0(xx,xz),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1387]) ).
tcf(c_16075,plain,
sdtpldt0(sK4(sdtasdt0(xy,xz),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1387]) ).
tcf(c_16076,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1387]) ).
tcf(c_16077,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1387]) ).
tcf(c_16078,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1387]) ).
tcf(c_16079,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1387]) ).
tcf(c_16080,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1387]) ).
tcf(c_16081,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1387]) ).
tcf(c_16082,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1387]) ).
tcf(c_16083,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1387]) ).
tcf(c_16084,plain,
sdtpldt0(sdtasdt0(xu,xv),xc) = sdtpldt0(xc,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1387]) ).
tcf(c_16085,plain,
sdtpldt0(sK4(xv,sdtasdt0(xu,xv)),xc) = sdtpldt0(xc,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1387]) ).
tcf(c_16086,plain,
sdtpldt0(sdtasdt0(xx,xu),xc) = sdtpldt0(xc,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1387]) ).
tcf(c_16087,plain,
sdtpldt0(sK4(xu,sdtasdt0(xx,xu)),xc) = sdtpldt0(xc,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1387]) ).
tcf(c_16088,plain,
sdtpldt0(sdtasdt0(xu,xy),xc) = sdtpldt0(xc,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1387]) ).
tcf(c_16089,plain,
sdtpldt0(sK4(xy,sdtasdt0(xu,xy)),xc) = sdtpldt0(xc,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1387]) ).
tcf(c_16090,plain,
sdtpldt0(sK4(sdtasdt0(xu,xv),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1387]) ).
tcf(c_16091,plain,
sdtpldt0(sK4(sK4(xu,xx),xx),xc) = sdtpldt0(xc,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1387]) ).
tcf(c_16092,plain,
sdtpldt0(sK4(sdtasdt0(xx,xu),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1387]) ).
tcf(c_16093,plain,
sdtpldt0(sK4(sdtasdt0(xu,xy),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1387]) ).
tcf(c_16094,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1387]) ).
tcf(c_16095,plain,
sdtpldt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1387]) ).
tcf(c_16096,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1387]) ).
tcf(c_16097,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1387]) ).
tcf(c_16098,plain,
sdtpldt0(sK4(sK4(sK4(xu,xx),xx),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1387]) ).
tcf(c_16099,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1387]) ).
tcf(c_16100,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1387]) ).
tcf(c_16101,plain,
sdtpldt0(sdtasdt0(xx,xv),xc) = sdtpldt0(xc,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1387]) ).
tcf(c_16102,plain,
sdtpldt0(sK4(xv,sdtasdt0(xx,xv)),xc) = sdtpldt0(xc,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1387]) ).
tcf(c_16103,plain,
sdtpldt0(sdtasdt0(xy,xv),xc) = sdtpldt0(xc,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1387]) ).
tcf(c_16104,plain,
sdtpldt0(sK4(xv,sdtasdt0(xy,xv)),xc) = sdtpldt0(xc,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1387]) ).
tcf(c_16105,plain,
sdtpldt0(sK4(sK4(xv,xy),xy),xc) = sdtpldt0(xc,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1387]) ).
tcf(c_16106,plain,
sdtpldt0(sK4(sdtasdt0(xx,xv),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1387]) ).
tcf(c_16107,plain,
sdtpldt0(sK4(sdtasdt0(xy,xv),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1387]) ).
tcf(c_16108,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1387]) ).
tcf(c_16109,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1387]) ).
tcf(c_16110,plain,
sdtpldt0(sK4(sK4(sK4(xv,xy),xy),sz00),xc) = sdtpldt0(xc,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1387]) ).
tcf(c_16111,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1387]) ).
tcf(c_16112,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1387]) ).
tcf(c_16380,plain,
( aElement0(sdtpldt0(xc,xz))
| ~ aElement0(xz)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_16001,c_80]) ).
tcf(c_16381,plain,
aElement0(sdtpldt0(xc,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_16380,c_52,c_49]) ).
tcf(c_16382,plain,
sdtpldt0(sdtpldt0(xc,xz),xc) = sdtpldt0(xc,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1387]) ).
tcf(c_16383,plain,
sdtasdt0(sdtpldt0(xc,xz),xy) = sdtasdt0(xy,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1228]) ).
tcf(c_16384,plain,
sdtasdt0(sdtpldt0(xc,xz),xx) = sdtasdt0(xx,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1227]) ).
tcf(c_16385,plain,
sdtasdt0(sdtpldt0(xc,xz),sz00) = sdtasdt0(sz00,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1226]) ).
tcf(c_16386,plain,
sdtasdt0(sdtpldt0(xc,xz),xv) = sdtasdt0(xv,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1223]) ).
tcf(c_16387,plain,
sdtasdt0(sdtpldt0(xc,xz),xu) = sdtasdt0(xu,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1222]) ).
tcf(c_16388,plain,
sdtasdt0(sdtpldt0(xc,xz),xz) = sdtasdt0(xz,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1221]) ).
tcf(c_16389,plain,
sdtasdt0(sdtpldt0(xc,xz),xc) = sdtasdt0(xc,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1220]) ).
tcf(c_16390,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xc,xz),X0) = sdtpldt0(X0,sdtpldt0(xc,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16381,c_79]) ).
tcf(c_16391,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xc,xz),X0) = sdtasdt0(X0,sdtpldt0(xc,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16381,c_72]) ).
tcf(c_16392,plain,
sdtasdt0(sz00,sdtpldt0(xc,xz)) = sz00,
inference(superposition,[status(thm)],[c_16381,c_83]) ).
tcf(c_16393,plain,
sdtasdt0(sdtpldt0(xc,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_16381,c_82]) ).
tcf(c_16394,plain,
sdtpldt0(sz00,sdtpldt0(xc,xz)) = sdtpldt0(xc,xz),
inference(superposition,[status(thm)],[c_16381,c_77]) ).
tcf(c_16395,plain,
sdtpldt0(sdtpldt0(xc,xz),sz00) = sdtpldt0(xc,xz),
inference(superposition,[status(thm)],[c_16381,c_76]) ).
tcf(c_16396,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xc,xz),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xc,xz)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16381,c_74]) ).
tcf(c_16397,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xc,xz))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xc,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16381,c_73]) ).
tcf(c_16398,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xc,xz)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xc,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16381,c_78]) ).
tcf(c_16399,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xc,xz)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xc,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16381,c_71]) ).
tcf(c_16470,plain,
( ( xy = sz00 )
| ( xx = sz00 )
| ~ aElement0(xy)
| ~ aElement0(xx)
| ( sdtasdt0(xx,xy) != sz00 ) ),
inference(superposition,[status(thm)],[c_15391,c_81]) ).
tcf(c_16471,plain,
( aElementOf0(sdtasdt0(xx,xy),slsdtgt0(xy))
| ~ aElement0(xy)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_15391,c_68]) ).
tcf(c_16472,plain,
( aElement0(sdtasdt0(xx,xy))
| ~ aElement0(xy)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_15391,c_75]) ).
tcf(c_16473,plain,
aElement0(sdtasdt0(xx,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_16472,c_1047,c_1040]) ).
tcf(c_16474,plain,
aElementOf0(sdtasdt0(xx,xy),slsdtgt0(xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_16471,c_1047,c_1040]) ).
tcf(c_16475,plain,
( ( xy = sz00 )
| ( xx = sz00 )
| ( sdtasdt0(xx,xy) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16470,c_1047,c_1040]) ).
tcf(c_16479,plain,
sdtpldt0(sdtasdt0(xx,xy),xc) = sdtpldt0(xc,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1387]) ).
tcf(c_16480,plain,
sdtasdt0(sdtasdt0(xx,xy),xy) = sdtasdt0(xy,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1228]) ).
tcf(c_16481,plain,
sdtasdt0(sdtasdt0(xx,xy),xx) = sdtasdt0(xx,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1227]) ).
tcf(c_16482,plain,
sdtasdt0(sdtasdt0(xx,xy),sz00) = sdtasdt0(sz00,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1226]) ).
tcf(c_16483,plain,
sdtasdt0(sdtasdt0(xx,xy),xv) = sdtasdt0(xv,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1223]) ).
tcf(c_16484,plain,
sdtasdt0(sdtasdt0(xx,xy),xu) = sdtasdt0(xu,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1222]) ).
tcf(c_16485,plain,
sdtasdt0(sdtasdt0(xx,xy),xz) = sdtasdt0(xz,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1221]) ).
tcf(c_16486,plain,
sdtasdt0(sdtasdt0(xx,xy),xc) = sdtasdt0(xc,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1220]) ).
tcf(c_16487,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xx,xy),X0) = sdtpldt0(X0,sdtasdt0(xx,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16473,c_79]) ).
tcf(c_16488,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xx,xy),X0) = sdtasdt0(X0,sdtasdt0(xx,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16473,c_72]) ).
tcf(c_16489,plain,
sdtasdt0(sz00,sdtasdt0(xx,xy)) = sz00,
inference(superposition,[status(thm)],[c_16473,c_83]) ).
tcf(c_16490,plain,
sdtasdt0(sdtasdt0(xx,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_16473,c_82]) ).
tcf(c_16491,plain,
sdtpldt0(sz00,sdtasdt0(xx,xy)) = sdtasdt0(xx,xy),
inference(superposition,[status(thm)],[c_16473,c_77]) ).
tcf(c_16492,plain,
sdtpldt0(sdtasdt0(xx,xy),sz00) = sdtasdt0(xx,xy),
inference(superposition,[status(thm)],[c_16473,c_76]) ).
tcf(c_16493,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtasdt0(xx,xy),X0)) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xx,xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16473,c_74]) ).
tcf(c_16494,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xx,xy))) = sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xx,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16473,c_73]) ).
tcf(c_16495,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xx,xy)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xx,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16473,c_78]) ).
tcf(c_16496,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xx,xy)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xx,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16473,c_71]) ).
tcf(c_16633,plain,
( ( sdtasdt0(xy,sK4(xy,sdtasdt0(xx,xy))) = sdtasdt0(xx,xy) )
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_16474,c_70]) ).
tcf(c_16634,plain,
( aElement0(sK4(xy,sdtasdt0(xx,xy)))
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_16474,c_69]) ).
tcf(c_16635,plain,
aElement0(sK4(xy,sdtasdt0(xx,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_16634,c_1047]) ).
tcf(c_16636,plain,
sdtasdt0(xy,sK4(xy,sdtasdt0(xx,xy))) = sdtasdt0(xx,xy),
inference(forward_subsumption_resolution,[status(thm)],[c_16633,c_1047]) ).
tcf(c_16637,plain,
sdtpldt0(sK4(xy,sdtasdt0(xx,xy)),xc) = sdtpldt0(xc,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1387]) ).
tcf(c_16638,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),xy) = sdtasdt0(xy,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1228]) ).
tcf(c_16639,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),xx) = sdtasdt0(xx,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1227]) ).
tcf(c_16640,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),sz00) = sdtasdt0(sz00,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1226]) ).
tcf(c_16641,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),xv) = sdtasdt0(xv,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1223]) ).
tcf(c_16642,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),xu) = sdtasdt0(xu,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1222]) ).
tcf(c_16643,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),xz) = sdtasdt0(xz,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1221]) ).
tcf(c_16644,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),xc) = sdtasdt0(xc,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1220]) ).
tcf(c_16645,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(xy,sdtasdt0(xx,xy)),X0) = sdtpldt0(X0,sK4(xy,sdtasdt0(xx,xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16635,c_79]) ).
tcf(c_16646,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),X0) = sdtasdt0(X0,sK4(xy,sdtasdt0(xx,xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16635,c_72]) ).
tcf(c_16647,plain,
sdtasdt0(sz00,sK4(xy,sdtasdt0(xx,xy))) = sz00,
inference(superposition,[status(thm)],[c_16635,c_83]) ).
tcf(c_16648,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16635,c_82]) ).
tcf(c_16649,plain,
sdtpldt0(sz00,sK4(xy,sdtasdt0(xx,xy))) = sK4(xy,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16635,c_77]) ).
tcf(c_16650,plain,
sdtpldt0(sK4(xy,sdtasdt0(xx,xy)),sz00) = sK4(xy,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16635,c_76]) ).
tcf(c_16651,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),X0)) = sdtasdt0(sdtpldt0(X1,sK4(xy,sdtasdt0(xx,xy))),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16635,c_74]) ).
tcf(c_16652,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(xy,sdtasdt0(xx,xy)))) = sdtasdt0(X0,sdtpldt0(X1,sK4(xy,sdtasdt0(xx,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16635,c_73]) ).
tcf(c_16653,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(xy,sdtasdt0(xx,xy))) = sdtpldt0(X0,sdtpldt0(X1,sK4(xy,sdtasdt0(xx,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16635,c_78]) ).
tcf(c_16654,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(xy,sdtasdt0(xx,xy))) = sdtasdt0(X0,sdtasdt0(X1,sK4(xy,sdtasdt0(xx,xy)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16635,c_71]) ).
tcf(c_16655,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),xy) = sdtasdt0(xx,xy),
inference(light_normalisation,[status(thm)],[c_16638,c_16636]) ).
tcf(c_16731,plain,
( aElement0(sdtpldt0(xc,xu))
| ~ aElement0(xu)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_16002,c_80]) ).
tcf(c_16732,plain,
aElement0(sdtpldt0(xc,xu)),
inference(forward_subsumption_resolution,[status(thm)],[c_16731,c_53,c_49]) ).
tcf(c_16733,plain,
sdtpldt0(sdtpldt0(xc,xu),xc) = sdtpldt0(xc,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1387]) ).
tcf(c_16734,plain,
sdtasdt0(sdtpldt0(xc,xu),xy) = sdtasdt0(xy,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1228]) ).
tcf(c_16735,plain,
sdtasdt0(sdtpldt0(xc,xu),xx) = sdtasdt0(xx,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1227]) ).
tcf(c_16736,plain,
sdtasdt0(sdtpldt0(xc,xu),sz00) = sdtasdt0(sz00,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1226]) ).
tcf(c_16737,plain,
sdtasdt0(sdtpldt0(xc,xu),xv) = sdtasdt0(xv,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1223]) ).
tcf(c_16738,plain,
sdtasdt0(sdtpldt0(xc,xu),xu) = sdtasdt0(xu,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1222]) ).
tcf(c_16739,plain,
sdtasdt0(sdtpldt0(xc,xu),xz) = sdtasdt0(xz,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1221]) ).
tcf(c_16740,plain,
sdtasdt0(sdtpldt0(xc,xu),xc) = sdtasdt0(xc,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1220]) ).
tcf(c_16741,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xc,xu),X0) = sdtpldt0(X0,sdtpldt0(xc,xu)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16732,c_79]) ).
tcf(c_16742,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xc,xu),X0) = sdtasdt0(X0,sdtpldt0(xc,xu)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16732,c_72]) ).
tcf(c_16743,plain,
sdtasdt0(sz00,sdtpldt0(xc,xu)) = sz00,
inference(superposition,[status(thm)],[c_16732,c_83]) ).
tcf(c_16744,plain,
sdtasdt0(sdtpldt0(xc,xu),sz00) = sz00,
inference(superposition,[status(thm)],[c_16732,c_82]) ).
tcf(c_16745,plain,
sdtpldt0(sz00,sdtpldt0(xc,xu)) = sdtpldt0(xc,xu),
inference(superposition,[status(thm)],[c_16732,c_77]) ).
tcf(c_16746,plain,
sdtpldt0(sdtpldt0(xc,xu),sz00) = sdtpldt0(xc,xu),
inference(superposition,[status(thm)],[c_16732,c_76]) ).
tcf(c_16747,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xc,xu),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xc,xu)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16732,c_74]) ).
tcf(c_16748,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xc,xu))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xc,xu))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16732,c_73]) ).
tcf(c_16749,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xc,xu)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xc,xu))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16732,c_78]) ).
tcf(c_16750,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xc,xu)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xc,xu))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16732,c_71]) ).
tcf(c_16772,plain,
( aElement0(sdtpldt0(xc,xv))
| ~ aElement0(xv)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_16003,c_80]) ).
tcf(c_16773,plain,
aElement0(sdtpldt0(xc,xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_16772,c_55,c_49]) ).
tcf(c_16774,plain,
sdtpldt0(sdtpldt0(xc,xv),xc) = sdtpldt0(xc,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1387]) ).
tcf(c_16775,plain,
sdtasdt0(sdtpldt0(xc,xv),xy) = sdtasdt0(xy,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1228]) ).
tcf(c_16776,plain,
sdtasdt0(sdtpldt0(xc,xv),xx) = sdtasdt0(xx,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1227]) ).
tcf(c_16777,plain,
sdtasdt0(sdtpldt0(xc,xv),sz00) = sdtasdt0(sz00,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1226]) ).
tcf(c_16778,plain,
sdtasdt0(sdtpldt0(xc,xv),xv) = sdtasdt0(xv,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1223]) ).
tcf(c_16779,plain,
sdtasdt0(sdtpldt0(xc,xv),xu) = sdtasdt0(xu,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1222]) ).
tcf(c_16780,plain,
sdtasdt0(sdtpldt0(xc,xv),xz) = sdtasdt0(xz,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1221]) ).
tcf(c_16781,plain,
sdtasdt0(sdtpldt0(xc,xv),xc) = sdtasdt0(xc,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1220]) ).
tcf(c_16782,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xc,xv),X0) = sdtpldt0(X0,sdtpldt0(xc,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16773,c_79]) ).
tcf(c_16783,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xc,xv),X0) = sdtasdt0(X0,sdtpldt0(xc,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16773,c_72]) ).
tcf(c_16784,plain,
sdtasdt0(sz00,sdtpldt0(xc,xv)) = sz00,
inference(superposition,[status(thm)],[c_16773,c_83]) ).
tcf(c_16785,plain,
sdtasdt0(sdtpldt0(xc,xv),sz00) = sz00,
inference(superposition,[status(thm)],[c_16773,c_82]) ).
tcf(c_16786,plain,
sdtpldt0(sz00,sdtpldt0(xc,xv)) = sdtpldt0(xc,xv),
inference(superposition,[status(thm)],[c_16773,c_77]) ).
tcf(c_16787,plain,
sdtpldt0(sdtpldt0(xc,xv),sz00) = sdtpldt0(xc,xv),
inference(superposition,[status(thm)],[c_16773,c_76]) ).
tcf(c_16788,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xc,xv),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xc,xv)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16773,c_74]) ).
tcf(c_16789,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xc,xv))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xc,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16773,c_73]) ).
tcf(c_16790,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xc,xv)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xc,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16773,c_78]) ).
tcf(c_16791,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xc,xv)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xc,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16773,c_71]) ).
tcf(c_16909,plain,
( aElement0(sdtpldt0(xc,xx))
| ~ aElement0(xx)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_16008,c_80]) ).
tcf(c_16910,plain,
aElement0(sdtpldt0(xc,xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_16909,c_1040,c_49]) ).
tcf(c_16913,plain,
sdtpldt0(sdtpldt0(xc,xx),xc) = sdtpldt0(xc,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1387]) ).
tcf(c_16914,plain,
sdtasdt0(sdtpldt0(xc,xx),xy) = sdtasdt0(xy,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1228]) ).
tcf(c_16915,plain,
sdtasdt0(sdtpldt0(xc,xx),xx) = sdtasdt0(xx,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1227]) ).
tcf(c_16916,plain,
sdtasdt0(sdtpldt0(xc,xx),sz00) = sdtasdt0(sz00,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1226]) ).
tcf(c_16917,plain,
sdtasdt0(sdtpldt0(xc,xx),xv) = sdtasdt0(xv,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1223]) ).
tcf(c_16918,plain,
sdtasdt0(sdtpldt0(xc,xx),xu) = sdtasdt0(xu,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1222]) ).
tcf(c_16919,plain,
sdtasdt0(sdtpldt0(xc,xx),xz) = sdtasdt0(xz,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1221]) ).
tcf(c_16920,plain,
sdtasdt0(sdtpldt0(xc,xx),xc) = sdtasdt0(xc,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1220]) ).
tcf(c_16921,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xc,xx),X0) = sdtpldt0(X0,sdtpldt0(xc,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16910,c_79]) ).
tcf(c_16922,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xc,xx),X0) = sdtasdt0(X0,sdtpldt0(xc,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16910,c_72]) ).
tcf(c_16923,plain,
sdtasdt0(sz00,sdtpldt0(xc,xx)) = sz00,
inference(superposition,[status(thm)],[c_16910,c_83]) ).
tcf(c_16924,plain,
sdtasdt0(sdtpldt0(xc,xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_16910,c_82]) ).
tcf(c_16925,plain,
sdtpldt0(sz00,sdtpldt0(xc,xx)) = sdtpldt0(xc,xx),
inference(superposition,[status(thm)],[c_16910,c_77]) ).
tcf(c_16926,plain,
sdtpldt0(sdtpldt0(xc,xx),sz00) = sdtpldt0(xc,xx),
inference(superposition,[status(thm)],[c_16910,c_76]) ).
tcf(c_16927,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xc,xx),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xc,xx)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16910,c_74]) ).
tcf(c_16928,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xc,xx))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16910,c_73]) ).
tcf(c_16929,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xc,xx)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16910,c_78]) ).
tcf(c_16930,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xc,xx)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xc,xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16910,c_71]) ).
tcf(c_16952,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xc,xz))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16392,c_64]) ).
tcf(c_16958,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xz)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xc,xz)) ),
inference(superposition,[status(thm)],[c_16393,c_68]) ).
tcf(c_16960,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_16958,c_84,c_16381]) ).
tcf(c_16962,plain,
( ( sdtasdt0(sdtpldt0(xc,xz),sK4(sdtpldt0(xc,xz),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xc,xz)) ),
inference(superposition,[status(thm)],[c_16960,c_70]) ).
tcf(c_16963,plain,
( aElement0(sK4(sdtpldt0(xc,xz),sz00))
| ~ aElement0(sdtpldt0(xc,xz)) ),
inference(superposition,[status(thm)],[c_16960,c_69]) ).
tcf(c_16964,plain,
aElement0(sK4(sdtpldt0(xc,xz),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_16963,c_16381]) ).
tcf(c_16965,plain,
sdtasdt0(sdtpldt0(xc,xz),sK4(sdtpldt0(xc,xz),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_16962,c_16381]) ).
tcf(c_16966,plain,
sdtpldt0(sK4(sdtpldt0(xc,xz),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1387]) ).
tcf(c_16967,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1228]) ).
tcf(c_16968,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1227]) ).
tcf(c_16969,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1226]) ).
tcf(c_16970,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1223]) ).
tcf(c_16971,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1222]) ).
tcf(c_16972,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1221]) ).
tcf(c_16973,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1220]) ).
tcf(c_16974,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xc,xz),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xc,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16964,c_79]) ).
tcf(c_16975,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xc,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16964,c_72]) ).
tcf(c_16976,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xc,xz),sz00)) = sz00,
inference(superposition,[status(thm)],[c_16964,c_83]) ).
tcf(c_16977,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_16964,c_82]) ).
tcf(c_16978,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xc,xz),sz00)) = sK4(sdtpldt0(xc,xz),sz00),
inference(superposition,[status(thm)],[c_16964,c_77]) ).
tcf(c_16979,plain,
sdtpldt0(sK4(sdtpldt0(xc,xz),sz00),sz00) = sK4(sdtpldt0(xc,xz),sz00),
inference(superposition,[status(thm)],[c_16964,c_76]) ).
tcf(c_16980,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xc,xz),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16964,c_74]) ).
tcf(c_16981,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xc,xz),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16964,c_73]) ).
tcf(c_16982,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xc,xz),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16964,c_78]) ).
tcf(c_16983,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xc,xz),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xc,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16964,c_71]) ).
tcf(c_17017,plain,
( aElement0(sdtpldt0(xc,xy))
| ~ aElement0(xy)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_16009,c_80]) ).
tcf(c_17018,plain,
aElement0(sdtpldt0(xc,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_17017,c_1047,c_49]) ).
tcf(c_17019,plain,
sdtpldt0(sdtpldt0(xc,xy),xc) = sdtpldt0(xc,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1387]) ).
tcf(c_17020,plain,
sdtasdt0(sdtpldt0(xc,xy),xy) = sdtasdt0(xy,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1228]) ).
tcf(c_17021,plain,
sdtasdt0(sdtpldt0(xc,xy),xx) = sdtasdt0(xx,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1227]) ).
tcf(c_17022,plain,
sdtasdt0(sdtpldt0(xc,xy),sz00) = sdtasdt0(sz00,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1226]) ).
tcf(c_17023,plain,
sdtasdt0(sdtpldt0(xc,xy),xv) = sdtasdt0(xv,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1223]) ).
tcf(c_17024,plain,
sdtasdt0(sdtpldt0(xc,xy),xu) = sdtasdt0(xu,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1222]) ).
tcf(c_17025,plain,
sdtasdt0(sdtpldt0(xc,xy),xz) = sdtasdt0(xz,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1221]) ).
tcf(c_17026,plain,
sdtasdt0(sdtpldt0(xc,xy),xc) = sdtasdt0(xc,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1220]) ).
tcf(c_17027,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xc,xy),X0) = sdtpldt0(X0,sdtpldt0(xc,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17018,c_79]) ).
tcf(c_17028,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xc,xy),X0) = sdtasdt0(X0,sdtpldt0(xc,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17018,c_72]) ).
tcf(c_17029,plain,
sdtasdt0(sz00,sdtpldt0(xc,xy)) = sz00,
inference(superposition,[status(thm)],[c_17018,c_83]) ).
tcf(c_17030,plain,
sdtasdt0(sdtpldt0(xc,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_17018,c_82]) ).
tcf(c_17031,plain,
sdtpldt0(sz00,sdtpldt0(xc,xy)) = sdtpldt0(xc,xy),
inference(superposition,[status(thm)],[c_17018,c_77]) ).
tcf(c_17032,plain,
sdtpldt0(sdtpldt0(xc,xy),sz00) = sdtpldt0(xc,xy),
inference(superposition,[status(thm)],[c_17018,c_76]) ).
tcf(c_17033,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xc,xy),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xc,xy)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17018,c_74]) ).
tcf(c_17034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xc,xy))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17018,c_73]) ).
tcf(c_17035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xc,xy)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17018,c_78]) ).
tcf(c_17036,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xc,xy)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xc,xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17018,c_71]) ).
tcf(c_17107,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtasdt0(xx,xy))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16489,c_64]) ).
tcf(c_17116,plain,
( aElementOf0(sz00,slsdtgt0(sdtasdt0(xx,xy)))
| ~ aElement0(sz00)
| ~ aElement0(sdtasdt0(xx,xy)) ),
inference(superposition,[status(thm)],[c_16490,c_68]) ).
tcf(c_17118,plain,
aElementOf0(sz00,slsdtgt0(sdtasdt0(xx,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_17116,c_84,c_16473]) ).
tcf(c_17216,plain,
( ( sdtasdt0(sdtasdt0(xx,xy),sK4(sdtasdt0(xx,xy),sz00)) = sz00 )
| ~ aElement0(sdtasdt0(xx,xy)) ),
inference(superposition,[status(thm)],[c_17118,c_70]) ).
tcf(c_17217,plain,
( aElement0(sK4(sdtasdt0(xx,xy),sz00))
| ~ aElement0(sdtasdt0(xx,xy)) ),
inference(superposition,[status(thm)],[c_17118,c_69]) ).
tcf(c_17218,plain,
aElement0(sK4(sdtasdt0(xx,xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_17217,c_16473]) ).
tcf(c_17219,plain,
sdtasdt0(sdtasdt0(xx,xy),sK4(sdtasdt0(xx,xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17216,c_16473]) ).
tcf(c_17220,plain,
sdtpldt0(sK4(sdtasdt0(xx,xy),sz00),xc) = sdtpldt0(xc,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1387]) ).
tcf(c_17221,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),xy) = sdtasdt0(xy,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1228]) ).
tcf(c_17222,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),xx) = sdtasdt0(xx,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1227]) ).
tcf(c_17223,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),sz00) = sdtasdt0(sz00,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1226]) ).
tcf(c_17224,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),xv) = sdtasdt0(xv,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1223]) ).
tcf(c_17225,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),xu) = sdtasdt0(xu,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1222]) ).
tcf(c_17226,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),xz) = sdtasdt0(xz,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1221]) ).
tcf(c_17227,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),xc) = sdtasdt0(xc,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1220]) ).
tcf(c_17228,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtasdt0(xx,xy),sz00),X0) = sdtpldt0(X0,sK4(sdtasdt0(xx,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17218,c_79]) ).
tcf(c_17229,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),X0) = sdtasdt0(X0,sK4(sdtasdt0(xx,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17218,c_72]) ).
tcf(c_17230,plain,
sdtasdt0(sz00,sK4(sdtasdt0(xx,xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_17218,c_83]) ).
tcf(c_17231,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_17218,c_82]) ).
tcf(c_17232,plain,
sdtpldt0(sz00,sK4(sdtasdt0(xx,xy),sz00)) = sK4(sdtasdt0(xx,xy),sz00),
inference(superposition,[status(thm)],[c_17218,c_77]) ).
tcf(c_17233,plain,
sdtpldt0(sK4(sdtasdt0(xx,xy),sz00),sz00) = sK4(sdtasdt0(xx,xy),sz00),
inference(superposition,[status(thm)],[c_17218,c_76]) ).
tcf(c_17234,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtasdt0(xx,xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17218,c_74]) ).
tcf(c_17235,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtasdt0(xx,xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xx,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17218,c_73]) ).
tcf(c_17236,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtasdt0(xx,xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtasdt0(xx,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17218,c_78]) ).
tcf(c_17237,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtasdt0(xx,xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtasdt0(xx,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17218,c_71]) ).
tcf(c_17259,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xc,xu))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16743,c_64]) ).
tcf(c_17265,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xu)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xc,xu)) ),
inference(superposition,[status(thm)],[c_16744,c_68]) ).
tcf(c_17267,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xu))),
inference(forward_subsumption_resolution,[status(thm)],[c_17265,c_84,c_16732]) ).
tcf(c_17269,plain,
( ( sdtasdt0(sdtpldt0(xc,xu),sK4(sdtpldt0(xc,xu),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xc,xu)) ),
inference(superposition,[status(thm)],[c_17267,c_70]) ).
tcf(c_17270,plain,
( aElement0(sK4(sdtpldt0(xc,xu),sz00))
| ~ aElement0(sdtpldt0(xc,xu)) ),
inference(superposition,[status(thm)],[c_17267,c_69]) ).
tcf(c_17271,plain,
aElement0(sK4(sdtpldt0(xc,xu),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_17270,c_16732]) ).
tcf(c_17272,plain,
sdtasdt0(sdtpldt0(xc,xu),sK4(sdtpldt0(xc,xu),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17269,c_16732]) ).
tcf(c_17273,plain,
sdtpldt0(sK4(sdtpldt0(xc,xu),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1387]) ).
tcf(c_17274,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1228]) ).
tcf(c_17275,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1227]) ).
tcf(c_17276,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1226]) ).
tcf(c_17277,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1223]) ).
tcf(c_17278,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1222]) ).
tcf(c_17279,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1221]) ).
tcf(c_17280,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1220]) ).
tcf(c_17281,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xc,xu),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xc,xu),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17271,c_79]) ).
tcf(c_17282,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xc,xu),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17271,c_72]) ).
tcf(c_17283,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xc,xu),sz00)) = sz00,
inference(superposition,[status(thm)],[c_17271,c_83]) ).
tcf(c_17284,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_17271,c_82]) ).
tcf(c_17285,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xc,xu),sz00)) = sK4(sdtpldt0(xc,xu),sz00),
inference(superposition,[status(thm)],[c_17271,c_77]) ).
tcf(c_17286,plain,
sdtpldt0(sK4(sdtpldt0(xc,xu),sz00),sz00) = sK4(sdtpldt0(xc,xu),sz00),
inference(superposition,[status(thm)],[c_17271,c_76]) ).
tcf(c_17287,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xc,xu),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17271,c_74]) ).
tcf(c_17288,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xc,xu),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xu),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17271,c_73]) ).
tcf(c_17289,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xc,xu),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xu),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17271,c_78]) ).
tcf(c_17290,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xc,xu),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xc,xu),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17271,c_71]) ).
tcf(c_17349,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xc,xv))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16784,c_64]) ).
tcf(c_17356,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xc,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xc,sz00))
| ~ aElement0(sK4(sK4(xc,sz00),sz00))
| ~ aElementOf0(sK2(sK4(xc,sz00),X0),X0)
| ( sK2(sK4(xc,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3460,c_64]) ).
tcf(c_17357,plain,
( ( sK4(xc,sz00) = sz00 )
| ( sK4(sK4(xc,sz00),sz00) = sz00 )
| ~ aElement0(sK4(xc,sz00))
| ~ aElement0(sK4(sK4(xc,sz00),sz00)) ),
inference(superposition,[status(thm)],[c_3460,c_81]) ).
tcf(c_17360,plain,
( ( sK4(xc,sz00) = sz00 )
| ( sK4(sK4(xc,sz00),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17357,c_1295,c_3459]) ).
tcf(c_17363,plain,
! [X0: $i] :
( ( slsdtgt0(sK4(xc,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sK4(xc,sz00),X0),X0)
| ( sK2(sK4(xc,sz00),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17356,c_1295,c_3459]) ).
tcf(c_17383,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xv)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xc,xv)) ),
inference(superposition,[status(thm)],[c_16785,c_68]) ).
tcf(c_17385,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_17383,c_84,c_16773]) ).
tcf(c_17387,plain,
( ( sdtasdt0(sdtpldt0(xc,xv),sK4(sdtpldt0(xc,xv),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xc,xv)) ),
inference(superposition,[status(thm)],[c_17385,c_70]) ).
tcf(c_17388,plain,
( aElement0(sK4(sdtpldt0(xc,xv),sz00))
| ~ aElement0(sdtpldt0(xc,xv)) ),
inference(superposition,[status(thm)],[c_17385,c_69]) ).
tcf(c_17389,plain,
aElement0(sK4(sdtpldt0(xc,xv),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_17388,c_16773]) ).
tcf(c_17390,plain,
sdtasdt0(sdtpldt0(xc,xv),sK4(sdtpldt0(xc,xv),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17387,c_16773]) ).
tcf(c_17391,plain,
sdtpldt0(sK4(sdtpldt0(xc,xv),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1387]) ).
tcf(c_17392,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1228]) ).
tcf(c_17393,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1227]) ).
tcf(c_17394,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1226]) ).
tcf(c_17395,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1223]) ).
tcf(c_17396,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1222]) ).
tcf(c_17397,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1221]) ).
tcf(c_17398,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1220]) ).
tcf(c_17399,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xc,xv),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xc,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17389,c_79]) ).
tcf(c_17400,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xc,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17389,c_72]) ).
tcf(c_17401,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xc,xv),sz00)) = sz00,
inference(superposition,[status(thm)],[c_17389,c_83]) ).
tcf(c_17402,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_17389,c_82]) ).
tcf(c_17403,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xc,xv),sz00)) = sK4(sdtpldt0(xc,xv),sz00),
inference(superposition,[status(thm)],[c_17389,c_77]) ).
tcf(c_17404,plain,
sdtpldt0(sK4(sdtpldt0(xc,xv),sz00),sz00) = sK4(sdtpldt0(xc,xv),sz00),
inference(superposition,[status(thm)],[c_17389,c_76]) ).
tcf(c_17405,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xc,xv),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17389,c_74]) ).
tcf(c_17406,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xc,xv),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17389,c_73]) ).
tcf(c_17407,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xc,xv),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17389,c_78]) ).
tcf(c_17408,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xc,xv),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xc,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17389,c_71]) ).
tcf(c_17509,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xc,xx))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16923,c_64]) ).
tcf(c_17515,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xx)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xc,xx)) ),
inference(superposition,[status(thm)],[c_16924,c_68]) ).
tcf(c_17517,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_17515,c_84,c_16910]) ).
tcf(c_17519,plain,
( ( sdtasdt0(sdtpldt0(xc,xx),sK4(sdtpldt0(xc,xx),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xc,xx)) ),
inference(superposition,[status(thm)],[c_17517,c_70]) ).
tcf(c_17520,plain,
( aElement0(sK4(sdtpldt0(xc,xx),sz00))
| ~ aElement0(sdtpldt0(xc,xx)) ),
inference(superposition,[status(thm)],[c_17517,c_69]) ).
tcf(c_17521,plain,
aElement0(sK4(sdtpldt0(xc,xx),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_17520,c_16910]) ).
tcf(c_17522,plain,
sdtasdt0(sdtpldt0(xc,xx),sK4(sdtpldt0(xc,xx),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17519,c_16910]) ).
tcf(c_17523,plain,
sdtpldt0(sK4(sdtpldt0(xc,xx),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1387]) ).
tcf(c_17524,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1228]) ).
tcf(c_17525,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1227]) ).
tcf(c_17526,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1226]) ).
tcf(c_17527,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1223]) ).
tcf(c_17528,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1222]) ).
tcf(c_17529,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1221]) ).
tcf(c_17530,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1220]) ).
tcf(c_17531,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xc,xx),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xc,xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17521,c_79]) ).
tcf(c_17532,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xc,xx),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17521,c_72]) ).
tcf(c_17533,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xc,xx),sz00)) = sz00,
inference(superposition,[status(thm)],[c_17521,c_83]) ).
tcf(c_17534,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_17521,c_82]) ).
tcf(c_17535,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xc,xx),sz00)) = sK4(sdtpldt0(xc,xx),sz00),
inference(superposition,[status(thm)],[c_17521,c_77]) ).
tcf(c_17536,plain,
sdtpldt0(sK4(sdtpldt0(xc,xx),sz00),sz00) = sK4(sdtpldt0(xc,xx),sz00),
inference(superposition,[status(thm)],[c_17521,c_76]) ).
tcf(c_17537,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xc,xx),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17521,c_74]) ).
tcf(c_17538,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xc,xx),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17521,c_73]) ).
tcf(c_17539,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xc,xx),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17521,c_78]) ).
tcf(c_17540,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xc,xx),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xc,xx),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17521,c_71]) ).
tcf(c_17644,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xc,xy))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17029,c_64]) ).
tcf(c_17650,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xy)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xc,xy)) ),
inference(superposition,[status(thm)],[c_17030,c_68]) ).
tcf(c_17652,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xc,xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_17650,c_84,c_17018]) ).
tcf(c_17654,plain,
( ( sdtasdt0(sdtpldt0(xc,xy),sK4(sdtpldt0(xc,xy),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xc,xy)) ),
inference(superposition,[status(thm)],[c_17652,c_70]) ).
tcf(c_17655,plain,
( aElement0(sK4(sdtpldt0(xc,xy),sz00))
| ~ aElement0(sdtpldt0(xc,xy)) ),
inference(superposition,[status(thm)],[c_17652,c_69]) ).
tcf(c_17656,plain,
aElement0(sK4(sdtpldt0(xc,xy),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_17655,c_17018]) ).
tcf(c_17657,plain,
sdtasdt0(sdtpldt0(xc,xy),sK4(sdtpldt0(xc,xy),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17654,c_17018]) ).
tcf(c_17658,plain,
sdtpldt0(sK4(sdtpldt0(xc,xy),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1387]) ).
tcf(c_17659,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1228]) ).
tcf(c_17660,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1227]) ).
tcf(c_17661,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1226]) ).
tcf(c_17662,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1223]) ).
tcf(c_17663,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1222]) ).
tcf(c_17664,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1221]) ).
tcf(c_17665,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1220]) ).
tcf(c_17666,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xc,xy),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xc,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17656,c_79]) ).
tcf(c_17667,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xc,xy),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17656,c_72]) ).
tcf(c_17668,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xc,xy),sz00)) = sz00,
inference(superposition,[status(thm)],[c_17656,c_83]) ).
tcf(c_17669,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_17656,c_82]) ).
tcf(c_17670,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xc,xy),sz00)) = sK4(sdtpldt0(xc,xy),sz00),
inference(superposition,[status(thm)],[c_17656,c_77]) ).
tcf(c_17671,plain,
sdtpldt0(sK4(sdtpldt0(xc,xy),sz00),sz00) = sK4(sdtpldt0(xc,xy),sz00),
inference(superposition,[status(thm)],[c_17656,c_76]) ).
tcf(c_17672,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xc,xy),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17656,c_74]) ).
tcf(c_17673,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xc,xy),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17656,c_73]) ).
tcf(c_17674,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xc,xy),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17656,c_78]) ).
tcf(c_17675,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xc,xy),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xc,xy),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17656,c_71]) ).
tcf(c_17747,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(xy,sdtasdt0(xx,xy)))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16647,c_64]) ).
tcf(c_17755,plain,
( aElementOf0(sz00,slsdtgt0(sK4(xy,sdtasdt0(xx,xy))))
| ~ aElement0(sz00)
| ~ aElement0(sK4(xy,sdtasdt0(xx,xy))) ),
inference(superposition,[status(thm)],[c_16648,c_68]) ).
tcf(c_17757,plain,
aElementOf0(sz00,slsdtgt0(sK4(xy,sdtasdt0(xx,xy)))),
inference(forward_subsumption_resolution,[status(thm)],[c_17755,c_84,c_16635]) ).
tcf(c_17759,plain,
( ( sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)) = sz00 )
| ~ aElement0(sK4(xy,sdtasdt0(xx,xy))) ),
inference(superposition,[status(thm)],[c_17757,c_70]) ).
tcf(c_17760,plain,
( aElement0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00))
| ~ aElement0(sK4(xy,sdtasdt0(xx,xy))) ),
inference(superposition,[status(thm)],[c_17757,c_69]) ).
tcf(c_17761,plain,
aElement0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_17760,c_16635]) ).
tcf(c_17762,plain,
sdtasdt0(sK4(xy,sdtasdt0(xx,xy)),sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17759,c_16635]) ).
tcf(c_17763,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),xc) = sdtpldt0(xc,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1387]) ).
tcf(c_17764,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),xy) = sdtasdt0(xy,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1228]) ).
tcf(c_17765,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),xx) = sdtasdt0(xx,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1227]) ).
tcf(c_17766,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1226]) ).
tcf(c_17767,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),xv) = sdtasdt0(xv,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1223]) ).
tcf(c_17768,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),xu) = sdtasdt0(xu,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1222]) ).
tcf(c_17769,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),xz) = sdtasdt0(xz,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1221]) ).
tcf(c_17770,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),xc) = sdtasdt0(xc,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1220]) ).
tcf(c_17771,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),X0) = sdtpldt0(X0,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17761,c_79]) ).
tcf(c_17772,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),X0) = sdtasdt0(X0,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17761,c_72]) ).
tcf(c_17773,plain,
sdtasdt0(sz00,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)) = sz00,
inference(superposition,[status(thm)],[c_17761,c_83]) ).
tcf(c_17774,plain,
sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_17761,c_82]) ).
tcf(c_17775,plain,
sdtpldt0(sz00,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)) = sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),
inference(superposition,[status(thm)],[c_17761,c_77]) ).
tcf(c_17776,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),sz00) = sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),
inference(superposition,[status(thm)],[c_17761,c_76]) ).
tcf(c_17777,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17761,c_74]) ).
tcf(c_17778,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17761,c_73]) ).
tcf(c_17779,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17761,c_78]) ).
tcf(c_17780,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17761,c_71]) ).
tcf(c_17966,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtpldt0(xc,xz),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16976,c_64]) ).
tcf(c_17972,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xz),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtpldt0(xc,xz),sz00)) ),
inference(superposition,[status(thm)],[c_16977,c_68]) ).
tcf(c_17974,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xz),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_17972,c_84,c_16964]) ).
tcf(c_17976,plain,
( ( sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtpldt0(xc,xz),sz00)) ),
inference(superposition,[status(thm)],[c_17974,c_70]) ).
tcf(c_17977,plain,
( aElement0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00))
| ~ aElement0(sK4(sdtpldt0(xc,xz),sz00)) ),
inference(superposition,[status(thm)],[c_17974,c_69]) ).
tcf(c_17978,plain,
aElement0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_17977,c_16964]) ).
tcf(c_17979,plain,
sdtasdt0(sK4(sdtpldt0(xc,xz),sz00),sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17976,c_16964]) ).
tcf(c_17980,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1387]) ).
tcf(c_17981,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1228]) ).
tcf(c_17982,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1227]) ).
tcf(c_17983,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1226]) ).
tcf(c_17984,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1223]) ).
tcf(c_17985,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1222]) ).
tcf(c_17986,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1221]) ).
tcf(c_17987,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1220]) ).
tcf(c_17988,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17978,c_79]) ).
tcf(c_17989,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17978,c_72]) ).
tcf(c_17990,plain,
sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_17978,c_83]) ).
tcf(c_17991,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_17978,c_82]) ).
tcf(c_17992,plain,
sdtpldt0(sz00,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)) = sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_17978,c_77]) ).
tcf(c_17993,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),sz00) = sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),
inference(superposition,[status(thm)],[c_17978,c_76]) ).
tcf(c_17994,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17978,c_74]) ).
tcf(c_17995,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17978,c_73]) ).
tcf(c_17996,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17978,c_78]) ).
tcf(c_17997,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17978,c_71]) ).
tcf(c_18061,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtasdt0(xx,xy),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17230,c_64]) ).
tcf(c_18069,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xx,xy),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtasdt0(xx,xy),sz00)) ),
inference(superposition,[status(thm)],[c_17231,c_68]) ).
tcf(c_18071,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtasdt0(xx,xy),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_18069,c_84,c_17218]) ).
tcf(c_18073,plain,
( ( sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtasdt0(xx,xy),sz00)) ),
inference(superposition,[status(thm)],[c_18071,c_70]) ).
tcf(c_18074,plain,
( aElement0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00))
| ~ aElement0(sK4(sdtasdt0(xx,xy),sz00)) ),
inference(superposition,[status(thm)],[c_18071,c_69]) ).
tcf(c_18075,plain,
aElement0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_18074,c_17218]) ).
tcf(c_18076,plain,
sdtasdt0(sK4(sdtasdt0(xx,xy),sz00),sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_18073,c_17218]) ).
tcf(c_18077,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1387]) ).
tcf(c_18078,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1228]) ).
tcf(c_18079,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1227]) ).
tcf(c_18080,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1226]) ).
tcf(c_18081,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1223]) ).
tcf(c_18082,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1222]) ).
tcf(c_18083,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1221]) ).
tcf(c_18084,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1220]) ).
tcf(c_18085,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18075,c_79]) ).
tcf(c_18086,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18075,c_72]) ).
tcf(c_18087,plain,
sdtasdt0(sz00,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_18075,c_83]) ).
tcf(c_18088,plain,
sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_18075,c_82]) ).
tcf(c_18089,plain,
sdtpldt0(sz00,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)) = sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_18075,c_77]) ).
tcf(c_18090,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),sz00) = sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_18075,c_76]) ).
tcf(c_18091,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18075,c_74]) ).
tcf(c_18092,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18075,c_73]) ).
tcf(c_18093,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18075,c_78]) ).
tcf(c_18094,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18075,c_71]) ).
tcf(c_18163,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtpldt0(xc,xu),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17283,c_64]) ).
tcf(c_18169,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xu),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtpldt0(xc,xu),sz00)) ),
inference(superposition,[status(thm)],[c_17284,c_68]) ).
tcf(c_18171,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xu),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_18169,c_84,c_17271]) ).
tcf(c_18173,plain,
( ( sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtpldt0(xc,xu),sz00)) ),
inference(superposition,[status(thm)],[c_18171,c_70]) ).
tcf(c_18174,plain,
( aElement0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00))
| ~ aElement0(sK4(sdtpldt0(xc,xu),sz00)) ),
inference(superposition,[status(thm)],[c_18171,c_69]) ).
tcf(c_18175,plain,
aElement0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_18174,c_17271]) ).
tcf(c_18176,plain,
sdtasdt0(sK4(sdtpldt0(xc,xu),sz00),sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_18173,c_17271]) ).
tcf(c_18177,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1387]) ).
tcf(c_18178,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1228]) ).
tcf(c_18179,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1227]) ).
tcf(c_18180,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1226]) ).
tcf(c_18181,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1223]) ).
tcf(c_18182,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1222]) ).
tcf(c_18183,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1221]) ).
tcf(c_18184,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1220]) ).
tcf(c_18185,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18175,c_79]) ).
tcf(c_18186,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18175,c_72]) ).
tcf(c_18187,plain,
sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_18175,c_83]) ).
tcf(c_18188,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_18175,c_82]) ).
tcf(c_18189,plain,
sdtpldt0(sz00,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)) = sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),
inference(superposition,[status(thm)],[c_18175,c_77]) ).
tcf(c_18190,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),sz00) = sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),
inference(superposition,[status(thm)],[c_18175,c_76]) ).
tcf(c_18191,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18175,c_74]) ).
tcf(c_18192,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18175,c_73]) ).
tcf(c_18193,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18175,c_78]) ).
tcf(c_18194,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18175,c_71]) ).
tcf(c_18278,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtpldt0(xc,xv),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17401,c_64]) ).
tcf(c_18284,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xv),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtpldt0(xc,xv),sz00)) ),
inference(superposition,[status(thm)],[c_17402,c_68]) ).
tcf(c_18286,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xv),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_18284,c_84,c_17389]) ).
tcf(c_18288,plain,
( ( sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtpldt0(xc,xv),sz00)) ),
inference(superposition,[status(thm)],[c_18286,c_70]) ).
tcf(c_18289,plain,
( aElement0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00))
| ~ aElement0(sK4(sdtpldt0(xc,xv),sz00)) ),
inference(superposition,[status(thm)],[c_18286,c_69]) ).
tcf(c_18290,plain,
aElement0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_18289,c_17389]) ).
tcf(c_18291,plain,
sdtasdt0(sK4(sdtpldt0(xc,xv),sz00),sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_18288,c_17389]) ).
tcf(c_18292,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1387]) ).
tcf(c_18293,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1228]) ).
tcf(c_18294,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1227]) ).
tcf(c_18295,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1226]) ).
tcf(c_18296,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1223]) ).
tcf(c_18297,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1222]) ).
tcf(c_18298,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1221]) ).
tcf(c_18299,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1220]) ).
tcf(c_18300,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18290,c_79]) ).
tcf(c_18301,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18290,c_72]) ).
tcf(c_18302,plain,
sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_18290,c_83]) ).
tcf(c_18303,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_18290,c_82]) ).
tcf(c_18304,plain,
sdtpldt0(sz00,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)) = sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_18290,c_77]) ).
tcf(c_18305,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),sz00) = sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),
inference(superposition,[status(thm)],[c_18290,c_76]) ).
tcf(c_18306,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18290,c_74]) ).
tcf(c_18307,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18290,c_73]) ).
tcf(c_18308,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18290,c_78]) ).
tcf(c_18309,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18290,c_71]) ).
tcf(c_18351,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtpldt0(xc,xx),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17533,c_64]) ).
tcf(c_18357,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xx),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtpldt0(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_17534,c_68]) ).
tcf(c_18359,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xx),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_18357,c_84,c_17521]) ).
tcf(c_18361,plain,
( ( sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtpldt0(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_18359,c_70]) ).
tcf(c_18362,plain,
( aElement0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00))
| ~ aElement0(sK4(sdtpldt0(xc,xx),sz00)) ),
inference(superposition,[status(thm)],[c_18359,c_69]) ).
tcf(c_18363,plain,
aElement0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_18362,c_17521]) ).
tcf(c_18364,plain,
sdtasdt0(sK4(sdtpldt0(xc,xx),sz00),sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_18361,c_17521]) ).
tcf(c_18365,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1387]) ).
tcf(c_18366,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1228]) ).
tcf(c_18367,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1227]) ).
tcf(c_18368,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1226]) ).
tcf(c_18369,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1223]) ).
tcf(c_18370,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1222]) ).
tcf(c_18371,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1221]) ).
tcf(c_18372,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1220]) ).
tcf(c_18373,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18363,c_79]) ).
tcf(c_18374,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18363,c_72]) ).
tcf(c_18375,plain,
sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_18363,c_83]) ).
tcf(c_18376,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_18363,c_82]) ).
tcf(c_18377,plain,
sdtpldt0(sz00,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)) = sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),
inference(superposition,[status(thm)],[c_18363,c_77]) ).
tcf(c_18378,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),sz00) = sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),
inference(superposition,[status(thm)],[c_18363,c_76]) ).
tcf(c_18379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18363,c_74]) ).
tcf(c_18380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18363,c_73]) ).
tcf(c_18381,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18363,c_78]) ).
tcf(c_18382,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18363,c_71]) ).
tcf(c_18435,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sz00,X0),X0)
| ~ aElement0(sK4(sdtpldt0(xc,xy),sz00))
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17668,c_64]) ).
tcf(c_18440,plain,
! [X0: $i] :
( ( slsdtgt0(sdtpldt0(xx,xy)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xx,xy))
| ~ aElement0(sK4(sdtpldt0(xx,xy),sz00))
| ~ aElementOf0(sK2(sdtpldt0(xx,xy),X0),X0)
| ( sK2(sdtpldt0(xx,xy),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3586,c_64]) ).
tcf(c_18441,plain,
( ( sdtpldt0(xx,xy) = sz00 )
| ( sK4(sdtpldt0(xx,xy),sz00) = sz00 )
| ~ aElement0(sdtpldt0(xx,xy))
| ~ aElement0(sK4(sdtpldt0(xx,xy),sz00)) ),
inference(superposition,[status(thm)],[c_3586,c_81]) ).
tcf(c_18444,plain,
( ( sdtpldt0(xx,xy) = sz00 )
| ( sK4(sdtpldt0(xx,xy),sz00) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18441,c_3534,c_3585]) ).
tcf(c_18447,plain,
! [X0: $i] :
( ( slsdtgt0(sdtpldt0(xx,xy)) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK2(sdtpldt0(xx,xy),X0),X0)
| ( sK2(sdtpldt0(xx,xy),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18440,c_3534,c_3585]) ).
tcf(c_18453,plain,
( aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xy),sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK4(sdtpldt0(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_17669,c_68]) ).
tcf(c_18455,plain,
aElementOf0(sz00,slsdtgt0(sK4(sdtpldt0(xc,xy),sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_18453,c_84,c_17656]) ).
tcf(c_18457,plain,
( ( sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)) = sz00 )
| ~ aElement0(sK4(sdtpldt0(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_18455,c_70]) ).
tcf(c_18458,plain,
( aElement0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00))
| ~ aElement0(sK4(sdtpldt0(xc,xy),sz00)) ),
inference(superposition,[status(thm)],[c_18455,c_69]) ).
tcf(c_18459,plain,
aElement0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_18458,c_17656]) ).
tcf(c_18460,plain,
sdtasdt0(sK4(sdtpldt0(xc,xy),sz00),sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_18457,c_17656]) ).
tcf(c_18473,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),xc) = sdtpldt0(xc,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1387]) ).
tcf(c_18474,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),xy) = sdtasdt0(xy,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1228]) ).
tcf(c_18475,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),xx) = sdtasdt0(xx,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1227]) ).
tcf(c_18476,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),sz00) = sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1226]) ).
tcf(c_18477,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),xv) = sdtasdt0(xv,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1223]) ).
tcf(c_18478,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),xu) = sdtasdt0(xu,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1222]) ).
tcf(c_18479,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),xz) = sdtasdt0(xz,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1221]) ).
tcf(c_18480,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),xc) = sdtasdt0(xc,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1220]) ).
tcf(c_18481,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),X0) = sdtpldt0(X0,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18459,c_79]) ).
tcf(c_18482,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),X0) = sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18459,c_72]) ).
tcf(c_18483,plain,
sdtasdt0(sz00,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_18459,c_83]) ).
tcf(c_18484,plain,
sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_18459,c_82]) ).
tcf(c_18485,plain,
sdtpldt0(sz00,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)) = sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_18459,c_77]) ).
tcf(c_18486,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),sz00) = sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),
inference(superposition,[status(thm)],[c_18459,c_76]) ).
tcf(c_18487,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18459,c_74]) ).
tcf(c_18488,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18459,c_73]) ).
tcf(c_18489,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18459,c_78]) ).
tcf(c_18490,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18459,c_71]) ).
tcf(c_18554,plain,
sdtpldt0(xz,xu) = sdtpldt0(xu,xz),
inference(superposition,[status(thm)],[c_53,c_1388]) ).
tcf(c_18555,plain,
sdtpldt0(xz,xv) = sdtpldt0(xv,xz),
inference(superposition,[status(thm)],[c_55,c_1388]) ).
tcf(c_18556,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xz) = sdtpldt0(xz,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_75,c_1388]) ).
tcf(c_18557,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xz) = sdtpldt0(xz,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_1388]) ).
tcf(c_18558,plain,
sdtpldt0(xz,sz00) = sdtpldt0(sz00,xz),
inference(superposition,[status(thm)],[c_84,c_1388]) ).
tcf(c_18559,plain,
sdtpldt0(sK4(sz00,sz00),xz) = sdtpldt0(xz,sK4(sz00,sz00)),
inference(superposition,[status(thm)],[c_1271,c_1388]) ).
tcf(c_18560,plain,
sdtpldt0(xx,xz) = sdtpldt0(xz,xx),
inference(superposition,[status(thm)],[c_1040,c_1388]) ).
tcf(c_18561,plain,
sdtpldt0(xy,xz) = sdtpldt0(xz,xy),
inference(superposition,[status(thm)],[c_1047,c_1388]) ).
tcf(c_18562,plain,
sdtpldt0(sdtpldt0(xx,xy),xz) = sdtpldt0(xz,sdtpldt0(xx,xy)),
inference(superposition,[status(thm)],[c_3534,c_1388]) ).
tcf(c_18563,plain,
sdtpldt0(sK4(xc,xx),xz) = sdtpldt0(xz,sK4(xc,xx)),
inference(superposition,[status(thm)],[c_1207,c_1388]) ).
tcf(c_18564,plain,
sdtpldt0(sK4(xc,xy),xz) = sdtpldt0(xz,sK4(xc,xy)),
inference(superposition,[status(thm)],[c_1206,c_1388]) ).
tcf(c_18565,plain,
sdtpldt0(sK4(xy,sz00),xz) = sdtpldt0(xz,sK4(xy,sz00)),
inference(superposition,[status(thm)],[c_1274,c_1388]) ).
tcf(c_18566,plain,
sdtpldt0(sK4(xx,sz00),xz) = sdtpldt0(xz,sK4(xx,sz00)),
inference(superposition,[status(thm)],[c_1277,c_1388]) ).
tcf(c_18567,plain,
sdtpldt0(sK4(xv,sz00),xz) = sdtpldt0(xz,sK4(xv,sz00)),
inference(superposition,[status(thm)],[c_1286,c_1388]) ).
tcf(c_18568,plain,
sdtpldt0(sK4(xu,sz00),xz) = sdtpldt0(xz,sK4(xu,sz00)),
inference(superposition,[status(thm)],[c_1289,c_1388]) ).
tcf(c_18569,plain,
sdtpldt0(sK4(xz,sz00),xz) = sdtpldt0(xz,sK4(xz,sz00)),
inference(superposition,[status(thm)],[c_1292,c_1388]) ).
tcf(c_18570,plain,
sdtpldt0(sK4(xc,sz00),xz) = sdtpldt0(xz,sK4(xc,sz00)),
inference(superposition,[status(thm)],[c_1295,c_1388]) ).
tcf(c_18571,plain,
sdtpldt0(sK4(sK4(xc,xy),sz00),xz) = sdtpldt0(xz,sK4(sK4(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_1717,c_1388]) ).
tcf(c_18572,plain,
sdtpldt0(sK4(sK4(xc,xx),sz00),xz) = sdtpldt0(xz,sK4(sK4(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_2074,c_1388]) ).
tcf(c_18573,plain,
sdtpldt0(sK4(sK4(sz00,sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sz00,sz00),sz00)),
inference(superposition,[status(thm)],[c_2166,c_1388]) ).
tcf(c_18574,plain,
sdtpldt0(sK4(sK4(xy,sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(xy,sz00),sz00)),
inference(superposition,[status(thm)],[c_2328,c_1388]) ).
tcf(c_18575,plain,
sdtpldt0(sK4(sK4(xx,sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(xx,sz00),sz00)),
inference(superposition,[status(thm)],[c_2890,c_1388]) ).
tcf(c_18576,plain,
sdtpldt0(sK4(sK4(xv,sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(xv,sz00),sz00)),
inference(superposition,[status(thm)],[c_3214,c_1388]) ).
tcf(c_18577,plain,
sdtpldt0(sK4(sK4(xu,sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(xu,sz00),sz00)),
inference(superposition,[status(thm)],[c_3327,c_1388]) ).
tcf(c_18578,plain,
sdtpldt0(sdtasdt0(xu,xz),xz) = sdtpldt0(xz,sdtasdt0(xu,xz)),
inference(superposition,[status(thm)],[c_7961,c_1388]) ).
tcf(c_18579,plain,
sdtpldt0(sK4(sK4(xz,sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(xz,sz00),sz00)),
inference(superposition,[status(thm)],[c_3391,c_1388]) ).
tcf(c_18580,plain,
sdtpldt0(sdtasdt0(xx,xz),xz) = sdtpldt0(xz,sdtasdt0(xx,xz)),
inference(superposition,[status(thm)],[c_8689,c_1388]) ).
tcf(c_18581,plain,
sdtpldt0(sK4(sK4(xc,sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(xc,sz00),sz00)),
inference(superposition,[status(thm)],[c_3459,c_1388]) ).
tcf(c_18582,plain,
sdtpldt0(sK4(sdtpldt0(xx,xy),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_3585,c_1388]) ).
tcf(c_18583,plain,
sdtpldt0(sK4(sK4(sK4(xc,xy),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_3684,c_1388]) ).
tcf(c_18584,plain,
sdtpldt0(sK4(sK4(sK4(xc,xx),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_3737,c_1388]) ).
tcf(c_18585,plain,
sdtpldt0(sK4(sK4(sK4(sz00,sz00),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(sz00,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3798,c_1388]) ).
tcf(c_18586,plain,
sdtpldt0(sK4(sK4(sK4(xy,sz00),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xy,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3883,c_1388]) ).
tcf(c_18587,plain,
sdtpldt0(sK4(sK4(sK4(xx,sz00),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xx,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_3960,c_1388]) ).
tcf(c_18588,plain,
sdtpldt0(sK4(sK4(sK4(xv,sz00),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xv,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4139,c_1388]) ).
tcf(c_18589,plain,
sdtpldt0(sK4(sK4(sK4(xu,sz00),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xu,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4196,c_1388]) ).
tcf(c_18590,plain,
sdtpldt0(sK4(sK4(sK4(xz,sz00),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xz,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4289,c_1388]) ).
tcf(c_18591,plain,
sdtpldt0(sK4(sK4(sK4(xc,sz00),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xc,sz00),sz00),sz00)),
inference(superposition,[status(thm)],[c_4495,c_1388]) ).
tcf(c_18592,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xx,xy),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtpldt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_4675,c_1388]) ).
tcf(c_18593,plain,
sdtpldt0(sK4(xv,xy),xz) = sdtpldt0(xz,sK4(xv,xy)),
inference(superposition,[status(thm)],[c_4887,c_1388]) ).
tcf(c_18594,plain,
sdtpldt0(sK4(xu,xx),xz) = sdtpldt0(xz,sK4(xu,xx)),
inference(superposition,[status(thm)],[c_4997,c_1388]) ).
tcf(c_18595,plain,
sdtpldt0(sdtasdt0(xc,xz),xz) = sdtpldt0(xz,sdtasdt0(xc,xz)),
inference(superposition,[status(thm)],[c_5083,c_1388]) ).
tcf(c_18596,plain,
sdtpldt0(sK4(xz,sdtasdt0(xc,xz)),xz) = sdtpldt0(xz,sK4(xz,sdtasdt0(xc,xz))),
inference(superposition,[status(thm)],[c_5217,c_1388]) ).
tcf(c_18597,plain,
sdtpldt0(sK4(sK4(xv,xy),sz00),xz) = sdtpldt0(xz,sK4(sK4(xv,xy),sz00)),
inference(superposition,[status(thm)],[c_5369,c_1388]) ).
tcf(c_18598,plain,
sdtpldt0(sdtasdt0(xc,xx),xz) = sdtpldt0(xz,sdtasdt0(xc,xx)),
inference(superposition,[status(thm)],[c_5481,c_1388]) ).
tcf(c_18599,plain,
sdtpldt0(sK4(xx,sdtasdt0(xc,xx)),xz) = sdtpldt0(xz,sK4(xx,sdtasdt0(xc,xx))),
inference(superposition,[status(thm)],[c_5542,c_1388]) ).
tcf(c_18600,plain,
sdtpldt0(sdtasdt0(xc,xy),xz) = sdtpldt0(xz,sdtasdt0(xc,xy)),
inference(superposition,[status(thm)],[c_5605,c_1388]) ).
tcf(c_18601,plain,
sdtpldt0(sK4(xy,sdtasdt0(xc,xy)),xz) = sdtpldt0(xz,sK4(xy,sdtasdt0(xc,xy))),
inference(superposition,[status(thm)],[c_5740,c_1388]) ).
tcf(c_18602,plain,
sdtpldt0(sK4(sK4(xc,xy),xy),xz) = sdtpldt0(xz,sK4(sK4(xc,xy),xy)),
inference(superposition,[status(thm)],[c_5850,c_1388]) ).
tcf(c_18603,plain,
sdtpldt0(sK4(sK4(xc,xx),xx),xz) = sdtpldt0(xz,sK4(sK4(xc,xx),xx)),
inference(superposition,[status(thm)],[c_5978,c_1388]) ).
tcf(c_18604,plain,
sdtpldt0(sK4(sK4(xu,xx),sz00),xz) = sdtpldt0(xz,sK4(sK4(xu,xx),sz00)),
inference(superposition,[status(thm)],[c_6034,c_1388]) ).
tcf(c_18605,plain,
sdtpldt0(sK4(sdtasdt0(xc,xz),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_6170,c_1388]) ).
tcf(c_18606,plain,
sdtpldt0(sK4(sdtasdt0(xc,xx),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_6361,c_1388]) ).
tcf(c_18607,plain,
sdtpldt0(sK4(sdtasdt0(xc,xy),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_6423,c_1388]) ).
tcf(c_18608,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xc,xz)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xz,sdtasdt0(xc,xz)),sz00)),
inference(superposition,[status(thm)],[c_6517,c_1388]) ).
tcf(c_18609,plain,
sdtpldt0(sK4(sK4(sK4(xv,xy),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xv,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_6600,c_1388]) ).
tcf(c_18610,plain,
sdtpldt0(sK4(sK4(xx,sdtasdt0(xc,xx)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xx,sdtasdt0(xc,xx)),sz00)),
inference(superposition,[status(thm)],[c_6696,c_1388]) ).
tcf(c_18611,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xc,xy)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xy,sdtasdt0(xc,xy)),sz00)),
inference(superposition,[status(thm)],[c_6745,c_1388]) ).
tcf(c_18612,plain,
sdtpldt0(sK4(sK4(sK4(xc,xy),xy),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xc,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_6980,c_1388]) ).
tcf(c_18613,plain,
sdtpldt0(sK4(sK4(sK4(xc,xx),xx),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xc,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_7027,c_1388]) ).
tcf(c_18614,plain,
sdtpldt0(sK4(sK4(sK4(xu,xx),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xu,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7109,c_1388]) ).
tcf(c_18615,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xz),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_7167,c_1388]) ).
tcf(c_18616,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xx),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_7410,c_1388]) ).
tcf(c_18617,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xc,xy),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_7515,c_1388]) ).
tcf(c_18618,plain,
sdtpldt0(sK4(xz,sdtasdt0(xu,xz)),xz) = sdtpldt0(xz,sK4(xz,sdtasdt0(xu,xz))),
inference(superposition,[status(thm)],[c_8080,c_1388]) ).
tcf(c_18619,plain,
sdtpldt0(sdtasdt0(xz,xv),xz) = sdtpldt0(xz,sdtasdt0(xz,xv)),
inference(superposition,[status(thm)],[c_8145,c_1388]) ).
tcf(c_18620,plain,
sdtpldt0(sK4(xv,sdtasdt0(xz,xv)),xz) = sdtpldt0(xz,sK4(xv,sdtasdt0(xz,xv))),
inference(superposition,[status(thm)],[c_8241,c_1388]) ).
tcf(c_18621,plain,
sdtpldt0(sK4(sdtasdt0(xu,xz),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_8407,c_1388]) ).
tcf(c_18622,plain,
sdtpldt0(sK4(xz,sdtasdt0(xx,xz)),xz) = sdtpldt0(xz,sK4(xz,sdtasdt0(xx,xz))),
inference(superposition,[status(thm)],[c_8828,c_1388]) ).
tcf(c_18623,plain,
sdtpldt0(sdtasdt0(xy,xz),xz) = sdtpldt0(xz,sdtasdt0(xy,xz)),
inference(superposition,[status(thm)],[c_8954,c_1388]) ).
tcf(c_18624,plain,
sdtpldt0(sK4(xz,sdtasdt0(xy,xz)),xz) = sdtpldt0(xz,sK4(xz,sdtasdt0(xy,xz))),
inference(superposition,[status(thm)],[c_9087,c_1388]) ).
tcf(c_18625,plain,
sdtpldt0(sK4(sdtasdt0(xz,xv),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_9242,c_1388]) ).
tcf(c_18626,plain,
sdtpldt0(sK4(sdtasdt0(xx,xz),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_9313,c_1388]) ).
tcf(c_18627,plain,
sdtpldt0(sK4(sdtasdt0(xy,xz),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_9561,c_1388]) ).
tcf(c_18628,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xu,xz)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xz,sdtasdt0(xu,xz)),sz00)),
inference(superposition,[status(thm)],[c_9674,c_1388]) ).
tcf(c_18629,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xz,xv)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xv,sdtasdt0(xz,xv)),sz00)),
inference(superposition,[status(thm)],[c_9795,c_1388]) ).
tcf(c_18630,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xz),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xu,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_9845,c_1388]) ).
tcf(c_18631,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xx,xz)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xz,sdtasdt0(xx,xz)),sz00)),
inference(superposition,[status(thm)],[c_10014,c_1388]) ).
tcf(c_18632,plain,
sdtpldt0(sK4(sK4(xz,sdtasdt0(xy,xz)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xz,sdtasdt0(xy,xz)),sz00)),
inference(superposition,[status(thm)],[c_10071,c_1388]) ).
tcf(c_18633,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xz,xv),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xz,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_10271,c_1388]) ).
tcf(c_18634,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xz),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xx,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10437,c_1388]) ).
tcf(c_18635,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xy,xz),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xy,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_10510,c_1388]) ).
tcf(c_18636,plain,
sdtpldt0(sdtasdt0(xu,xv),xz) = sdtpldt0(xz,sdtasdt0(xu,xv)),
inference(superposition,[status(thm)],[c_10954,c_1388]) ).
tcf(c_18637,plain,
sdtpldt0(sK4(xv,sdtasdt0(xu,xv)),xz) = sdtpldt0(xz,sK4(xv,sdtasdt0(xu,xv))),
inference(superposition,[status(thm)],[c_11060,c_1388]) ).
tcf(c_18638,plain,
sdtpldt0(sdtasdt0(xx,xu),xz) = sdtpldt0(xz,sdtasdt0(xx,xu)),
inference(superposition,[status(thm)],[c_11119,c_1388]) ).
tcf(c_18639,plain,
sdtpldt0(sK4(xu,sdtasdt0(xx,xu)),xz) = sdtpldt0(xz,sK4(xu,sdtasdt0(xx,xu))),
inference(superposition,[status(thm)],[c_11230,c_1388]) ).
tcf(c_18640,plain,
sdtpldt0(sdtasdt0(xu,xy),xz) = sdtpldt0(xz,sdtasdt0(xu,xy)),
inference(superposition,[status(thm)],[c_11311,c_1388]) ).
tcf(c_18641,plain,
sdtpldt0(sK4(xy,sdtasdt0(xu,xy)),xz) = sdtpldt0(xz,sK4(xy,sdtasdt0(xu,xy))),
inference(superposition,[status(thm)],[c_11369,c_1388]) ).
tcf(c_18642,plain,
sdtpldt0(sK4(sdtasdt0(xu,xv),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xu,xv),sz00)),
inference(superposition,[status(thm)],[c_11438,c_1388]) ).
tcf(c_18643,plain,
sdtpldt0(sK4(sK4(xu,xx),xx),xz) = sdtpldt0(xz,sK4(sK4(xu,xx),xx)),
inference(superposition,[status(thm)],[c_11564,c_1388]) ).
tcf(c_18644,plain,
sdtpldt0(sK4(sdtasdt0(xx,xu),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xx,xu),sz00)),
inference(superposition,[status(thm)],[c_11648,c_1388]) ).
tcf(c_18645,plain,
sdtpldt0(sK4(sdtasdt0(xu,xy),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xu,xy),sz00)),
inference(superposition,[status(thm)],[c_11749,c_1388]) ).
tcf(c_18646,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xu,xv)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xv,sdtasdt0(xu,xv)),sz00)),
inference(superposition,[status(thm)],[c_11850,c_1388]) ).
tcf(c_18647,plain,
sdtpldt0(sK4(sK4(xu,sdtasdt0(xx,xu)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xu,sdtasdt0(xx,xu)),sz00)),
inference(superposition,[status(thm)],[c_11932,c_1388]) ).
tcf(c_18648,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xu,xy)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xy,sdtasdt0(xu,xy)),sz00)),
inference(superposition,[status(thm)],[c_12024,c_1388]) ).
tcf(c_18649,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xv),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xu,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_12100,c_1388]) ).
tcf(c_18650,plain,
sdtpldt0(sK4(sK4(sK4(xu,xx),xx),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xu,xx),xx),sz00)),
inference(superposition,[status(thm)],[c_12177,c_1388]) ).
tcf(c_18651,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xu),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xx,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_12322,c_1388]) ).
tcf(c_18652,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xu,xy),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xu,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_12444,c_1388]) ).
tcf(c_18653,plain,
sdtpldt0(sdtasdt0(xx,xv),xz) = sdtpldt0(xz,sdtasdt0(xx,xv)),
inference(superposition,[status(thm)],[c_14464,c_1388]) ).
tcf(c_18654,plain,
sdtpldt0(sK4(xv,sdtasdt0(xx,xv)),xz) = sdtpldt0(xz,sK4(xv,sdtasdt0(xx,xv))),
inference(superposition,[status(thm)],[c_14523,c_1388]) ).
tcf(c_18655,plain,
sdtpldt0(sdtasdt0(xy,xv),xz) = sdtpldt0(xz,sdtasdt0(xy,xv)),
inference(superposition,[status(thm)],[c_14579,c_1388]) ).
tcf(c_18656,plain,
sdtpldt0(sK4(xv,sdtasdt0(xy,xv)),xz) = sdtpldt0(xz,sK4(xv,sdtasdt0(xy,xv))),
inference(superposition,[status(thm)],[c_14651,c_1388]) ).
tcf(c_18657,plain,
sdtpldt0(sK4(sK4(xv,xy),xy),xz) = sdtpldt0(xz,sK4(sK4(xv,xy),xy)),
inference(superposition,[status(thm)],[c_14743,c_1388]) ).
tcf(c_18658,plain,
sdtpldt0(sK4(sdtasdt0(xx,xv),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xx,xv),sz00)),
inference(superposition,[status(thm)],[c_14799,c_1388]) ).
tcf(c_18659,plain,
sdtpldt0(sK4(sdtasdt0(xy,xv),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xy,xv),sz00)),
inference(superposition,[status(thm)],[c_14863,c_1388]) ).
tcf(c_18660,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xx,xv)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xv,sdtasdt0(xx,xv)),sz00)),
inference(superposition,[status(thm)],[c_15017,c_1388]) ).
tcf(c_18661,plain,
sdtpldt0(sK4(sK4(xv,sdtasdt0(xy,xv)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xv,sdtasdt0(xy,xv)),sz00)),
inference(superposition,[status(thm)],[c_15123,c_1388]) ).
tcf(c_18662,plain,
sdtpldt0(sdtasdt0(xx,xy),xz) = sdtpldt0(xz,sdtasdt0(xx,xy)),
inference(superposition,[status(thm)],[c_16473,c_1388]) ).
tcf(c_18663,plain,
sdtpldt0(sK4(sK4(sK4(xv,xy),xy),sz00),xz) = sdtpldt0(xz,sK4(sK4(sK4(xv,xy),xy),sz00)),
inference(superposition,[status(thm)],[c_15187,c_1388]) ).
tcf(c_18664,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xv),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xx,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15257,c_1388]) ).
tcf(c_18665,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xy,xv),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xy,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_15321,c_1388]) ).
tcf(c_18666,plain,
sdtpldt0(sdtpldt0(xc,xz),xz) = sdtpldt0(xz,sdtpldt0(xc,xz)),
inference(superposition,[status(thm)],[c_16381,c_1388]) ).
tcf(c_18667,plain,
sdtpldt0(sK4(xy,sdtasdt0(xx,xy)),xz) = sdtpldt0(xz,sK4(xy,sdtasdt0(xx,xy))),
inference(superposition,[status(thm)],[c_16635,c_1388]) ).
tcf(c_18668,plain,
sdtpldt0(sdtpldt0(xc,xu),xz) = sdtpldt0(xz,sdtpldt0(xc,xu)),
inference(superposition,[status(thm)],[c_16732,c_1388]) ).
tcf(c_18669,plain,
sdtpldt0(sdtpldt0(xc,xv),xz) = sdtpldt0(xz,sdtpldt0(xc,xv)),
inference(superposition,[status(thm)],[c_16773,c_1388]) ).
tcf(c_18670,plain,
sdtpldt0(sdtpldt0(xc,xx),xz) = sdtpldt0(xz,sdtpldt0(xc,xx)),
inference(superposition,[status(thm)],[c_16910,c_1388]) ).
tcf(c_18671,plain,
sdtpldt0(sK4(sdtpldt0(xc,xz),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xc,xz),sz00)),
inference(superposition,[status(thm)],[c_16964,c_1388]) ).
tcf(c_18672,plain,
sdtpldt0(sdtpldt0(xc,xy),xz) = sdtpldt0(xz,sdtpldt0(xc,xy)),
inference(superposition,[status(thm)],[c_17018,c_1388]) ).
tcf(c_18673,plain,
sdtpldt0(sK4(sdtasdt0(xx,xy),sz00),xz) = sdtpldt0(xz,sK4(sdtasdt0(xx,xy),sz00)),
inference(superposition,[status(thm)],[c_17218,c_1388]) ).
tcf(c_18674,plain,
sdtpldt0(sK4(sdtpldt0(xc,xu),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xc,xu),sz00)),
inference(superposition,[status(thm)],[c_17271,c_1388]) ).
tcf(c_18675,plain,
sdtpldt0(sK4(sdtpldt0(xc,xv),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xc,xv),sz00)),
inference(superposition,[status(thm)],[c_17389,c_1388]) ).
tcf(c_18676,plain,
sdtpldt0(sK4(sdtpldt0(xc,xx),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xc,xx),sz00)),
inference(superposition,[status(thm)],[c_17521,c_1388]) ).
tcf(c_18677,plain,
sdtpldt0(sK4(sdtpldt0(xc,xy),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xc,xy),sz00)),
inference(superposition,[status(thm)],[c_17656,c_1388]) ).
tcf(c_18678,plain,
sdtpldt0(sK4(sK4(xy,sdtasdt0(xx,xy)),sz00),xz) = sdtpldt0(xz,sK4(sK4(xy,sdtasdt0(xx,xy)),sz00)),
inference(superposition,[status(thm)],[c_17761,c_1388]) ).
tcf(c_18679,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xz),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtpldt0(xc,xz),sz00),sz00)),
inference(superposition,[status(thm)],[c_17978,c_1388]) ).
tcf(c_18680,plain,
sdtpldt0(sK4(sK4(sdtasdt0(xx,xy),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtasdt0(xx,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18075,c_1388]) ).
tcf(c_18681,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xu),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtpldt0(xc,xu),sz00),sz00)),
inference(superposition,[status(thm)],[c_18175,c_1388]) ).
tcf(c_18682,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xv),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtpldt0(xc,xv),sz00),sz00)),
inference(superposition,[status(thm)],[c_18290,c_1388]) ).
tcf(c_18683,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xx),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtpldt0(xc,xx),sz00),sz00)),
inference(superposition,[status(thm)],[c_18363,c_1388]) ).
tcf(c_18684,plain,
sdtpldt0(sK4(sK4(sdtpldt0(xc,xy),sz00),sz00),xz) = sdtpldt0(xz,sK4(sK4(sdtpldt0(xc,xy),sz00),sz00)),
inference(superposition,[status(thm)],[c_18459,c_1388]) ).
tcf(c_18968,plain,
( aElement0(sdtpldt0(xu,xz))
| ~ aElement0(xu)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_18554,c_80]) ).
tcf(c_18969,plain,
aElement0(sdtpldt0(xu,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_18968,c_53,c_52]) ).
tcf(c_19034,plain,
sdtpldt0(sdtpldt0(xu,xz),xz) = sdtpldt0(xz,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1388]) ).
tcf(c_19035,plain,
sdtpldt0(sdtpldt0(xu,xz),xc) = sdtpldt0(xc,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1387]) ).
tcf(c_19036,plain,
sdtasdt0(sdtpldt0(xu,xz),xy) = sdtasdt0(xy,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1228]) ).
tcf(c_19037,plain,
sdtasdt0(sdtpldt0(xu,xz),xx) = sdtasdt0(xx,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1227]) ).
tcf(c_19038,plain,
sdtasdt0(sdtpldt0(xu,xz),sz00) = sdtasdt0(sz00,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1226]) ).
tcf(c_19039,plain,
sdtasdt0(sdtpldt0(xu,xz),xv) = sdtasdt0(xv,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1223]) ).
tcf(c_19040,plain,
sdtasdt0(sdtpldt0(xu,xz),xu) = sdtasdt0(xu,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1222]) ).
tcf(c_19041,plain,
sdtasdt0(sdtpldt0(xu,xz),xz) = sdtasdt0(xz,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1221]) ).
tcf(c_19042,plain,
sdtasdt0(sdtpldt0(xu,xz),xc) = sdtasdt0(xc,sdtpldt0(xu,xz)),
inference(superposition,[status(thm)],[c_18969,c_1220]) ).
tcf(c_19043,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xu,xz),X0) = sdtpldt0(X0,sdtpldt0(xu,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18969,c_79]) ).
tcf(c_19044,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xu,xz),X0) = sdtasdt0(X0,sdtpldt0(xu,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18969,c_72]) ).
tcf(c_19045,plain,
sdtasdt0(sz00,sdtpldt0(xu,xz)) = sz00,
inference(superposition,[status(thm)],[c_18969,c_83]) ).
tcf(c_19046,plain,
sdtasdt0(sdtpldt0(xu,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_18969,c_82]) ).
tcf(c_19047,plain,
sdtpldt0(sz00,sdtpldt0(xu,xz)) = sdtpldt0(xu,xz),
inference(superposition,[status(thm)],[c_18969,c_77]) ).
tcf(c_19048,plain,
sdtpldt0(sdtpldt0(xu,xz),sz00) = sdtpldt0(xu,xz),
inference(superposition,[status(thm)],[c_18969,c_76]) ).
tcf(c_19049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xu,xz),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xu,xz)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18969,c_74]) ).
tcf(c_19050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xu,xz))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xu,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18969,c_73]) ).
tcf(c_19051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xu,xz)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xu,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18969,c_78]) ).
tcf(c_19052,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xu,xz)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xu,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18969,c_71]) ).
tcf(c_19178,plain,
( aElement0(sdtpldt0(xz,xv))
| ~ aElement0(xv)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_18555,c_80]) ).
tcf(c_19179,plain,
aElement0(sdtpldt0(xz,xv)),
inference(forward_subsumption_resolution,[status(thm)],[c_19178,c_55,c_52]) ).
tcf(c_19180,plain,
sdtpldt0(sdtpldt0(xz,xv),xz) = sdtpldt0(xz,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1388]) ).
tcf(c_19181,plain,
sdtpldt0(sdtpldt0(xz,xv),xc) = sdtpldt0(xc,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1387]) ).
tcf(c_19182,plain,
sdtasdt0(sdtpldt0(xz,xv),xy) = sdtasdt0(xy,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1228]) ).
tcf(c_19183,plain,
sdtasdt0(sdtpldt0(xz,xv),xx) = sdtasdt0(xx,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1227]) ).
tcf(c_19184,plain,
sdtasdt0(sdtpldt0(xz,xv),sz00) = sdtasdt0(sz00,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1226]) ).
tcf(c_19185,plain,
sdtasdt0(sdtpldt0(xz,xv),xv) = sdtasdt0(xv,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1223]) ).
tcf(c_19186,plain,
sdtasdt0(sdtpldt0(xz,xv),xu) = sdtasdt0(xu,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1222]) ).
tcf(c_19187,plain,
sdtasdt0(sdtpldt0(xz,xv),xz) = sdtasdt0(xz,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1221]) ).
tcf(c_19188,plain,
sdtasdt0(sdtpldt0(xz,xv),xc) = sdtasdt0(xc,sdtpldt0(xz,xv)),
inference(superposition,[status(thm)],[c_19179,c_1220]) ).
tcf(c_19189,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,xv),X0) = sdtpldt0(X0,sdtpldt0(xz,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19179,c_79]) ).
tcf(c_19190,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,xv),X0) = sdtasdt0(X0,sdtpldt0(xz,xv)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19179,c_72]) ).
tcf(c_19191,plain,
sdtasdt0(sz00,sdtpldt0(xz,xv)) = sz00,
inference(superposition,[status(thm)],[c_19179,c_83]) ).
tcf(c_19192,plain,
sdtasdt0(sdtpldt0(xz,xv),sz00) = sz00,
inference(superposition,[status(thm)],[c_19179,c_82]) ).
tcf(c_19193,plain,
sdtpldt0(sz00,sdtpldt0(xz,xv)) = sdtpldt0(xz,xv),
inference(superposition,[status(thm)],[c_19179,c_77]) ).
tcf(c_19194,plain,
sdtpldt0(sdtpldt0(xz,xv),sz00) = sdtpldt0(xz,xv),
inference(superposition,[status(thm)],[c_19179,c_76]) ).
tcf(c_19195,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xz,xv),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xz,xv)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19179,c_74]) ).
tcf(c_19196,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xz,xv))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xz,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19179,c_73]) ).
tcf(c_19197,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xz,xv)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xz,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19179,c_78]) ).
tcf(c_19198,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xz,xv)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xz,xv))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19179,c_71]) ).
tcf(c_19273,plain,
( aElement0(sdtpldt0(xx,xz))
| ~ aElement0(xz)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_18560,c_80]) ).
tcf(c_19274,plain,
aElement0(sdtpldt0(xx,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_19273,c_52,c_1040]) ).
tcf(c_19275,plain,
sdtpldt0(sdtpldt0(xx,xz),xz) = sdtpldt0(xz,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1388]) ).
tcf(c_19276,plain,
sdtpldt0(sdtpldt0(xx,xz),xc) = sdtpldt0(xc,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1387]) ).
tcf(c_19277,plain,
sdtasdt0(sdtpldt0(xx,xz),xy) = sdtasdt0(xy,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1228]) ).
tcf(c_19278,plain,
sdtasdt0(sdtpldt0(xx,xz),xx) = sdtasdt0(xx,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1227]) ).
tcf(c_19279,plain,
sdtasdt0(sdtpldt0(xx,xz),sz00) = sdtasdt0(sz00,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1226]) ).
tcf(c_19280,plain,
sdtasdt0(sdtpldt0(xx,xz),xv) = sdtasdt0(xv,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1223]) ).
tcf(c_19281,plain,
sdtasdt0(sdtpldt0(xx,xz),xu) = sdtasdt0(xu,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1222]) ).
tcf(c_19282,plain,
sdtasdt0(sdtpldt0(xx,xz),xz) = sdtasdt0(xz,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1221]) ).
tcf(c_19283,plain,
sdtasdt0(sdtpldt0(xx,xz),xc) = sdtasdt0(xc,sdtpldt0(xx,xz)),
inference(superposition,[status(thm)],[c_19274,c_1220]) ).
tcf(c_19284,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xx,xz),X0) = sdtpldt0(X0,sdtpldt0(xx,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19274,c_79]) ).
tcf(c_19285,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xx,xz),X0) = sdtasdt0(X0,sdtpldt0(xx,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19274,c_72]) ).
tcf(c_19286,plain,
sdtasdt0(sz00,sdtpldt0(xx,xz)) = sz00,
inference(superposition,[status(thm)],[c_19274,c_83]) ).
tcf(c_19287,plain,
sdtasdt0(sdtpldt0(xx,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_19274,c_82]) ).
tcf(c_19288,plain,
sdtpldt0(sz00,sdtpldt0(xx,xz)) = sdtpldt0(xx,xz),
inference(superposition,[status(thm)],[c_19274,c_77]) ).
tcf(c_19289,plain,
sdtpldt0(sdtpldt0(xx,xz),sz00) = sdtpldt0(xx,xz),
inference(superposition,[status(thm)],[c_19274,c_76]) ).
tcf(c_19290,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xx,xz),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xx,xz)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19274,c_74]) ).
tcf(c_19291,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xx,xz))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xx,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19274,c_73]) ).
tcf(c_19292,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xx,xz)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xx,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19274,c_78]) ).
tcf(c_19293,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xx,xz)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xx,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19274,c_71]) ).
tcf(c_19444,plain,
( aElement0(sdtpldt0(xy,xz))
| ~ aElement0(xz)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_18561,c_80]) ).
tcf(c_19445,plain,
aElement0(sdtpldt0(xy,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_19444,c_52,c_1047]) ).
tcf(c_19461,plain,
sdtpldt0(sdtpldt0(xy,xz),xz) = sdtpldt0(xz,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1388]) ).
tcf(c_19462,plain,
sdtpldt0(sdtpldt0(xy,xz),xc) = sdtpldt0(xc,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1387]) ).
tcf(c_19463,plain,
sdtasdt0(sdtpldt0(xy,xz),xy) = sdtasdt0(xy,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1228]) ).
tcf(c_19464,plain,
sdtasdt0(sdtpldt0(xy,xz),xx) = sdtasdt0(xx,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1227]) ).
tcf(c_19465,plain,
sdtasdt0(sdtpldt0(xy,xz),sz00) = sdtasdt0(sz00,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1226]) ).
tcf(c_19466,plain,
sdtasdt0(sdtpldt0(xy,xz),xv) = sdtasdt0(xv,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1223]) ).
tcf(c_19467,plain,
sdtasdt0(sdtpldt0(xy,xz),xu) = sdtasdt0(xu,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1222]) ).
tcf(c_19468,plain,
sdtasdt0(sdtpldt0(xy,xz),xz) = sdtasdt0(xz,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1221]) ).
tcf(c_19469,plain,
sdtasdt0(sdtpldt0(xy,xz),xc) = sdtasdt0(xc,sdtpldt0(xy,xz)),
inference(superposition,[status(thm)],[c_19445,c_1220]) ).
tcf(c_19470,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xy,xz),X0) = sdtpldt0(X0,sdtpldt0(xy,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19445,c_79]) ).
tcf(c_19471,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xy,xz),X0) = sdtasdt0(X0,sdtpldt0(xy,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19445,c_72]) ).
tcf(c_19472,plain,
sdtasdt0(sz00,sdtpldt0(xy,xz)) = sz00,
inference(superposition,[status(thm)],[c_19445,c_83]) ).
tcf(c_19473,plain,
sdtasdt0(sdtpldt0(xy,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_19445,c_82]) ).
tcf(c_19474,plain,
sdtpldt0(sz00,sdtpldt0(xy,xz)) = sdtpldt0(xy,xz),
inference(superposition,[status(thm)],[c_19445,c_77]) ).
tcf(c_19475,plain,
sdtpldt0(sdtpldt0(xy,xz),sz00) = sdtpldt0(xy,xz),
inference(superposition,[status(thm)],[c_19445,c_76]) ).
tcf(c_19476,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(xy,xz),X0)) = sdtasdt0(sdtpldt0(X1,sdtpldt0(xy,xz)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19445,c_74]) ).
tcf(c_19477,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(xy,xz))) = sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(xy,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19445,c_73]) ).
tcf(c_19478,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xy,xz)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(xy,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19445,c_78]) ).
tcf(c_19479,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xy,xz)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(xy,xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19445,c_71]) ).
tcf(c_19638,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xu,xz))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19045,c_64]) ).
tcf(c_19644,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xu,xz)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_19046,c_68]) ).
tcf(c_19646,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xu,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_19644,c_84,c_18969]) ).
tcf(c_19648,plain,
( ( sdtasdt0(sdtpldt0(xu,xz),sK4(sdtpldt0(xu,xz),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_19646,c_70]) ).
tcf(c_19649,plain,
( aElement0(sK4(sdtpldt0(xu,xz),sz00))
| ~ aElement0(sdtpldt0(xu,xz)) ),
inference(superposition,[status(thm)],[c_19646,c_69]) ).
tcf(c_19650,plain,
aElement0(sK4(sdtpldt0(xu,xz),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_19649,c_18969]) ).
tcf(c_19651,plain,
sdtasdt0(sdtpldt0(xu,xz),sK4(sdtpldt0(xu,xz),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19648,c_18969]) ).
tcf(c_19652,plain,
sdtpldt0(sK4(sdtpldt0(xu,xz),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1388]) ).
tcf(c_19653,plain,
sdtpldt0(sK4(sdtpldt0(xu,xz),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1387]) ).
tcf(c_19654,plain,
sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1228]) ).
tcf(c_19655,plain,
sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1227]) ).
tcf(c_19656,plain,
sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1226]) ).
tcf(c_19657,plain,
sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1223]) ).
tcf(c_19658,plain,
sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1222]) ).
tcf(c_19659,plain,
sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1221]) ).
tcf(c_19660,plain,
sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xu,xz),sz00)),
inference(superposition,[status(thm)],[c_19650,c_1220]) ).
tcf(c_19661,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xu,xz),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xu,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19650,c_79]) ).
tcf(c_19662,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xu,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19650,c_72]) ).
tcf(c_19663,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xu,xz),sz00)) = sz00,
inference(superposition,[status(thm)],[c_19650,c_83]) ).
tcf(c_19664,plain,
sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_19650,c_82]) ).
tcf(c_19665,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xu,xz),sz00)) = sK4(sdtpldt0(xu,xz),sz00),
inference(superposition,[status(thm)],[c_19650,c_77]) ).
tcf(c_19666,plain,
sdtpldt0(sK4(sdtpldt0(xu,xz),sz00),sz00) = sK4(sdtpldt0(xu,xz),sz00),
inference(superposition,[status(thm)],[c_19650,c_76]) ).
tcf(c_19667,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xu,xz),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xu,xz),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19650,c_74]) ).
tcf(c_19668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xu,xz),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xu,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19650,c_73]) ).
tcf(c_19669,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xu,xz),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xu,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19650,c_78]) ).
tcf(c_19670,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xu,xz),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xu,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19650,c_71]) ).
tcf(c_19739,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xz,xv))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19191,c_64]) ).
tcf(c_19745,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xz,xv)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xz,xv)) ),
inference(superposition,[status(thm)],[c_19192,c_68]) ).
tcf(c_19747,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xz,xv))),
inference(forward_subsumption_resolution,[status(thm)],[c_19745,c_84,c_19179]) ).
tcf(c_19749,plain,
( ( sdtasdt0(sdtpldt0(xz,xv),sK4(sdtpldt0(xz,xv),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xz,xv)) ),
inference(superposition,[status(thm)],[c_19747,c_70]) ).
tcf(c_19750,plain,
( aElement0(sK4(sdtpldt0(xz,xv),sz00))
| ~ aElement0(sdtpldt0(xz,xv)) ),
inference(superposition,[status(thm)],[c_19747,c_69]) ).
tcf(c_19751,plain,
aElement0(sK4(sdtpldt0(xz,xv),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_19750,c_19179]) ).
tcf(c_19752,plain,
sdtasdt0(sdtpldt0(xz,xv),sK4(sdtpldt0(xz,xv),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19749,c_19179]) ).
tcf(c_19753,plain,
sdtpldt0(sK4(sdtpldt0(xz,xv),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1388]) ).
tcf(c_19754,plain,
sdtpldt0(sK4(sdtpldt0(xz,xv),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1387]) ).
tcf(c_19755,plain,
sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1228]) ).
tcf(c_19756,plain,
sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1227]) ).
tcf(c_19757,plain,
sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1226]) ).
tcf(c_19758,plain,
sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1223]) ).
tcf(c_19759,plain,
sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1222]) ).
tcf(c_19760,plain,
sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1221]) ).
tcf(c_19761,plain,
sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xz,xv),sz00)),
inference(superposition,[status(thm)],[c_19751,c_1220]) ).
tcf(c_19762,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xz,xv),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xz,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19751,c_79]) ).
tcf(c_19763,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xz,xv),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19751,c_72]) ).
tcf(c_19764,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xz,xv),sz00)) = sz00,
inference(superposition,[status(thm)],[c_19751,c_83]) ).
tcf(c_19765,plain,
sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_19751,c_82]) ).
tcf(c_19766,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xz,xv),sz00)) = sK4(sdtpldt0(xz,xv),sz00),
inference(superposition,[status(thm)],[c_19751,c_77]) ).
tcf(c_19767,plain,
sdtpldt0(sK4(sdtpldt0(xz,xv),sz00),sz00) = sK4(sdtpldt0(xz,xv),sz00),
inference(superposition,[status(thm)],[c_19751,c_76]) ).
tcf(c_19768,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xz,xv),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xz,xv),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19751,c_74]) ).
tcf(c_19769,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xz,xv),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xz,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19751,c_73]) ).
tcf(c_19770,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xz,xv),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xz,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19751,c_78]) ).
tcf(c_19771,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xz,xv),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xz,xv),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19751,c_71]) ).
tcf(c_19821,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xx,xz))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19286,c_64]) ).
tcf(c_19827,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xx,xz)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xx,xz)) ),
inference(superposition,[status(thm)],[c_19287,c_68]) ).
tcf(c_19829,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xx,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_19827,c_84,c_19274]) ).
tcf(c_19831,plain,
( ( sdtasdt0(sdtpldt0(xx,xz),sK4(sdtpldt0(xx,xz),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xx,xz)) ),
inference(superposition,[status(thm)],[c_19829,c_70]) ).
tcf(c_19832,plain,
( aElement0(sK4(sdtpldt0(xx,xz),sz00))
| ~ aElement0(sdtpldt0(xx,xz)) ),
inference(superposition,[status(thm)],[c_19829,c_69]) ).
tcf(c_19833,plain,
aElement0(sK4(sdtpldt0(xx,xz),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_19832,c_19274]) ).
tcf(c_19834,plain,
sdtasdt0(sdtpldt0(xx,xz),sK4(sdtpldt0(xx,xz),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19831,c_19274]) ).
tcf(c_19835,plain,
sdtpldt0(sK4(sdtpldt0(xx,xz),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1388]) ).
tcf(c_19836,plain,
sdtpldt0(sK4(sdtpldt0(xx,xz),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1387]) ).
tcf(c_19837,plain,
sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1228]) ).
tcf(c_19838,plain,
sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1227]) ).
tcf(c_19839,plain,
sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1226]) ).
tcf(c_19840,plain,
sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1223]) ).
tcf(c_19841,plain,
sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1222]) ).
tcf(c_19842,plain,
sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1221]) ).
tcf(c_19843,plain,
sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xx,xz),sz00)),
inference(superposition,[status(thm)],[c_19833,c_1220]) ).
tcf(c_19844,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xx,xz),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xx,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19833,c_79]) ).
tcf(c_19845,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xx,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19833,c_72]) ).
tcf(c_19846,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xx,xz),sz00)) = sz00,
inference(superposition,[status(thm)],[c_19833,c_83]) ).
tcf(c_19847,plain,
sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_19833,c_82]) ).
tcf(c_19848,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xx,xz),sz00)) = sK4(sdtpldt0(xx,xz),sz00),
inference(superposition,[status(thm)],[c_19833,c_77]) ).
tcf(c_19849,plain,
sdtpldt0(sK4(sdtpldt0(xx,xz),sz00),sz00) = sK4(sdtpldt0(xx,xz),sz00),
inference(superposition,[status(thm)],[c_19833,c_76]) ).
tcf(c_19850,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xx,xz),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xx,xz),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19833,c_74]) ).
tcf(c_19851,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xx,xz),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xx,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19833,c_73]) ).
tcf(c_19852,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xx,xz),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xx,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19833,c_78]) ).
tcf(c_19853,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xx,xz),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xx,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19833,c_71]) ).
tcf(c_19880,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sdtpldt0(xy,xz))
| ~ aElementOf0(sK2(sz00,X0),X0)
| ( sK2(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19472,c_64]) ).
tcf(c_19886,plain,
( aElementOf0(sz00,slsdtgt0(sdtpldt0(xy,xz)))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xy,xz)) ),
inference(superposition,[status(thm)],[c_19473,c_68]) ).
tcf(c_19888,plain,
aElementOf0(sz00,slsdtgt0(sdtpldt0(xy,xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_19886,c_84,c_19445]) ).
tcf(c_19890,plain,
( ( sdtasdt0(sdtpldt0(xy,xz),sK4(sdtpldt0(xy,xz),sz00)) = sz00 )
| ~ aElement0(sdtpldt0(xy,xz)) ),
inference(superposition,[status(thm)],[c_19888,c_70]) ).
tcf(c_19891,plain,
( aElement0(sK4(sdtpldt0(xy,xz),sz00))
| ~ aElement0(sdtpldt0(xy,xz)) ),
inference(superposition,[status(thm)],[c_19888,c_69]) ).
tcf(c_19892,plain,
aElement0(sK4(sdtpldt0(xy,xz),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_19891,c_19445]) ).
tcf(c_19893,plain,
sdtasdt0(sdtpldt0(xy,xz),sK4(sdtpldt0(xy,xz),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19890,c_19445]) ).
tcf(c_19899,plain,
sdtpldt0(sK4(sdtpldt0(xy,xz),sz00),xz) = sdtpldt0(xz,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1388]) ).
tcf(c_19900,plain,
sdtpldt0(sK4(sdtpldt0(xy,xz),sz00),xc) = sdtpldt0(xc,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1387]) ).
tcf(c_19901,plain,
sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),xy) = sdtasdt0(xy,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1228]) ).
tcf(c_19902,plain,
sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),xx) = sdtasdt0(xx,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1227]) ).
tcf(c_19903,plain,
sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),sz00) = sdtasdt0(sz00,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1226]) ).
tcf(c_19904,plain,
sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),xv) = sdtasdt0(xv,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1223]) ).
tcf(c_19905,plain,
sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),xu) = sdtasdt0(xu,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1222]) ).
tcf(c_19906,plain,
sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),xz) = sdtasdt0(xz,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1221]) ).
tcf(c_19907,plain,
sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),xc) = sdtasdt0(xc,sK4(sdtpldt0(xy,xz),sz00)),
inference(superposition,[status(thm)],[c_19892,c_1220]) ).
tcf(c_19908,plain,
! [X0: $i] :
( ( sdtpldt0(sK4(sdtpldt0(xy,xz),sz00),X0) = sdtpldt0(X0,sK4(sdtpldt0(xy,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19892,c_79]) ).
tcf(c_19909,plain,
! [X0: $i] :
( ( sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),X0) = sdtasdt0(X0,sK4(sdtpldt0(xy,xz),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19892,c_72]) ).
tcf(c_19910,plain,
sdtasdt0(sz00,sK4(sdtpldt0(xy,xz),sz00)) = sz00,
inference(superposition,[status(thm)],[c_19892,c_83]) ).
tcf(c_19911,plain,
sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_19892,c_82]) ).
tcf(c_19912,plain,
sdtpldt0(sz00,sK4(sdtpldt0(xy,xz),sz00)) = sK4(sdtpldt0(xy,xz),sz00),
inference(superposition,[status(thm)],[c_19892,c_77]) ).
tcf(c_19913,plain,
sdtpldt0(sK4(sdtpldt0(xy,xz),sz00),sz00) = sK4(sdtpldt0(xy,xz),sz00),
inference(superposition,[status(thm)],[c_19892,c_76]) ).
tcf(c_19914,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sK4(sdtpldt0(xy,xz),sz00),X0)) = sdtasdt0(sdtpldt0(X1,sK4(sdtpldt0(xy,xz),sz00)),X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19892,c_74]) ).
tcf(c_19915,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK4(sdtpldt0(xy,xz),sz00))) = sdtasdt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xy,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19892,c_73]) ).
tcf(c_19916,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK4(sdtpldt0(xy,xz),sz00)) = sdtpldt0(X0,sdtpldt0(X1,sK4(sdtpldt0(xy,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19892,c_78]) ).
tcf(c_19917,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sK4(sdtpldt0(xy,xz),sz00)) = sdtasdt0(X0,sdtasdt0(X1,sK4(sdtpldt0(xy,xz),sz00))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19892,c_71]) ).
tcf(c_19972,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_19917,c_19916,c_19915,c_19914,c_19913,c_19912,c_19911,c_19910,c_19909,c_19908,c_19907,c_19906,c_19905,c_19904,c_19903,c_19902,c_19901,c_19900,c_19899,c_19893,c_19892,c_19891,c_19890,c_19888,c_19886,c_19880,c_19853,c_19852,c_19851,c_19850,c_19849,c_19848,c_19847,c_19846,c_19845,c_19844,c_19843,c_19842,c_19841,c_19840,c_19839,c_19838,c_19837,c_19836,c_19835,c_19834,c_19833,c_19832,c_19831,c_19829,c_19827,c_19821,c_19771,c_19770,c_19769,c_19768,c_19767,c_19766,c_19765,c_19764,c_19763,c_19762,c_19761,c_19760,c_19759,c_19758,c_19757,c_19756,c_19755,c_19754,c_19753,c_19752,c_19751,c_19750,c_19749,c_19747,c_19745,c_19739,c_19670,c_19669,c_19668,c_19667,c_19666,c_19665,c_19664,c_19663,c_19662,c_19661,c_19660,c_19659,c_19658,c_19657,c_19656,c_19655,c_19654,c_19653,c_19652,c_19651,c_19650,c_19649,c_19648,c_19646,c_19644,c_19638,c_19479,c_19478,c_19477,c_19476,c_19475,c_19474,c_19473,c_19472,c_19471,c_19470,c_19469,c_19468,c_19467,c_19466,c_19465,c_19464,c_19463,c_19462,c_19461,c_19445,c_19444,c_19293,c_19292,c_19291,c_19290,c_19289,c_19288,c_19287,c_19286,c_19285,c_19284,c_19283,c_19282,c_19281,c_19280,c_19279,c_19278,c_19277,c_19276,c_19275,c_19274,c_19273,c_19198,c_19197,c_19196,c_19195,c_19194,c_19193,c_19192,c_19191,c_19190,c_19189,c_19188,c_19187,c_19186,c_19185,c_19184,c_19183,c_19182,c_19181,c_19180,c_19179,c_19178,c_19052,c_19051,c_19050,c_19049,c_19048,c_19047,c_19046,c_19045,c_19044,c_19043,c_19042,c_19041,c_19040,c_19039,c_19038,c_19037,c_19036,c_19035,c_19034,c_18969,c_18968,c_18684,c_18683,c_18682,c_18681,c_18680,c_18679,c_18678,c_18677,c_18676,c_18675,c_18674,c_18673,c_18672,c_18671,c_18670,c_18669,c_18668,c_18667,c_18666,c_18665,c_18664,c_18663,c_18662,c_18661,c_18660,c_18659,c_18658,c_18657,c_18656,c_18655,c_18654,c_18653,c_18652,c_18651,c_18650,c_18649,c_18648,c_18647,c_18646,c_18645,c_18644,c_18643,c_18642,c_18641,c_18640,c_18639,c_18638,c_18637,c_18636,c_18635,c_18634,c_18633,c_18632,c_18631,c_18630,c_18629,c_18628,c_18627,c_18626,c_18625,c_18624,c_18623,c_18622,c_18621,c_18620,c_18619,c_18618,c_18617,c_18616,c_18615,c_18614,c_18613,c_18612,c_18611,c_18610,c_18609,c_18608,c_18607,c_18606,c_18605,c_18604,c_18603,c_18602,c_18601,c_18600,c_18599,c_18598,c_18597,c_18592,c_18591,c_18590,c_18589,c_18588,c_18587,c_18586,c_18585,c_18584,c_18583,c_18581,c_18580,c_18579,c_18578,c_18577,c_18576,c_18575,c_18574,c_18572,c_18490,c_18489,c_18488,c_18487,c_18486,c_18485,c_18484,c_18483,c_18482,c_18481,c_18480,c_18479,c_18478,c_18477,c_18476,c_18475,c_18474,c_18473,c_18460,c_18459,c_18458,c_18457,c_18455,c_18453,c_18435,c_18382,c_18381,c_18380,c_18379,c_18378,c_18377,c_18376,c_18375,c_18374,c_18373,c_18372,c_18371,c_18370,c_18369,c_18368,c_18367,c_18366,c_18365,c_18364,c_18363,c_18362,c_18361,c_18359,c_18357,c_18351,c_18309,c_18308,c_18307,c_18306,c_18305,c_18304,c_18303,c_18302,c_18301,c_18300,c_18299,c_18298,c_18297,c_18296,c_18295,c_18294,c_18293,c_18292,c_18291,c_18290,c_18289,c_18288,c_18286,c_18284,c_18278,c_18194,c_18193,c_18192,c_18191,c_18190,c_18189,c_18188,c_18187,c_18186,c_18185,c_18184,c_18183,c_18182,c_18181,c_18180,c_18179,c_18178,c_18177,c_18176,c_18175,c_18174,c_18173,c_18171,c_18169,c_18163,c_18596,c_18094,c_18093,c_18092,c_18091,c_18090,c_18089,c_18088,c_18087,c_18086,c_18085,c_18084,c_18083,c_18082,c_18081,c_18080,c_18079,c_18078,c_18077,c_18076,c_18075,c_18074,c_18073,c_18071,c_18069,c_18061,c_17997,c_17996,c_17995,c_17994,c_17993,c_17992,c_17991,c_17990,c_17989,c_17988,c_17987,c_17986,c_17985,c_17984,c_17983,c_17982,c_17981,c_17980,c_17979,c_17978,c_17977,c_17976,c_17974,c_17972,c_17966,c_17780,c_17779,c_17778,c_17777,c_17776,c_17775,c_17774,c_17773,c_17772,c_17771,c_17770,c_17769,c_17768,c_17767,c_17766,c_17765,c_17764,c_17763,c_17762,c_17761,c_17760,c_17759,c_17757,c_17755,c_17747,c_17675,c_17674,c_17673,c_17672,c_17671,c_17670,c_17669,c_17668,c_17667,c_17666,c_17665,c_17664,c_17663,c_17662,c_17661,c_17660,c_17659,c_17658,c_17657,c_17656,c_17655,c_17654,c_17652,c_17650,c_17644,c_17540,c_17539,c_17538,c_17537,c_17536,c_17535,c_17534,c_17533,c_17532,c_17531,c_17530,c_17529,c_17528,c_17527,c_17526,c_17525,c_17524,c_17523,c_17522,c_17521,c_17520,c_17519,c_17517,c_17515,c_17509,c_18595,c_17408,c_17407,c_17406,c_17405,c_17404,c_17403,c_17402,c_17401,c_17400,c_17399,c_17398,c_17397,c_17396,c_17395,c_17394,c_17393,c_17392,c_17391,c_17390,c_17389,c_17388,c_17387,c_17385,c_17383,c_17363,c_17360,c_17357,c_17356,c_17349,c_17290,c_17289,c_17288,c_17287,c_17286,c_17285,c_17284,c_17283,c_17282,c_17281,c_17280,c_17279,c_17278,c_17277,c_17276,c_17275,c_17274,c_17273,c_17272,c_17271,c_17270,c_17269,c_17267,c_17265,c_17259,c_17237,c_17236,c_17235,c_17234,c_17233,c_17232,c_17231,c_17230,c_17229,c_17228,c_17227,c_17226,c_17225,c_17224,c_17223,c_17222,c_17221,c_17220,c_17219,c_17218,c_17217,c_17216,c_17118,c_17116,c_17107,c_18447,c_18444,c_18441,c_18440,c_17036,c_17035,c_17034,c_17033,c_17032,c_17031,c_17030,c_17029,c_17028,c_17027,c_17026,c_17025,c_17024,c_17023,c_17022,c_17021,c_17020,c_17019,c_17018,c_17017,c_16983,c_16982,c_16981,c_16980,c_16979,c_16978,c_16977,c_16976,c_16975,c_16974,c_16973,c_16972,c_16971,c_16970,c_16969,c_16968,c_16967,c_16966,c_16965,c_16964,c_16963,c_16962,c_16960,c_16958,c_16952,c_16930,c_16929,c_16928,c_16927,c_16926,c_16925,c_16924,c_16923,c_16922,c_16921,c_16920,c_16919,c_16918,c_16917,c_16916,c_16915,c_16914,c_16913,c_16910,c_16909,c_16791,c_16790,c_16789,c_16788,c_16787,c_16786,c_16785,c_16784,c_16783,c_16782,c_16781,c_16780,c_16779,c_16778,c_16777,c_16776,c_16775,c_16774,c_16773,c_16772,c_16750,c_16749,c_16748,c_16747,c_16746,c_16745,c_16744,c_16743,c_16742,c_16741,c_16740,c_16739,c_16738,c_16737,c_16736,c_16735,c_16734,c_16733,c_16732,c_16731,c_18571,c_16655,c_16654,c_16653,c_16652,c_16651,c_16650,c_16649,c_16648,c_16647,c_16646,c_16645,c_16644,c_16643,c_16642,c_16641,c_16640,c_16639,c_16638,c_16637,c_16636,c_16635,c_16634,c_16633,c_16496,c_16495,c_16494,c_16493,c_16492,c_16491,c_16490,c_16489,c_16488,c_16487,c_16486,c_16485,c_16484,c_16483,c_16482,c_16481,c_16480,c_16479,c_16475,c_16474,c_16473,c_16472,c_16471,c_16399,c_16398,c_16397,c_16396,c_16395,c_16394,c_16393,c_16392,c_16391,c_16390,c_16389,c_16388,c_16387,c_16386,c_16385,c_16384,c_16383,c_16382,c_16381,c_16380,c_18573,c_16112,c_16111,c_16110,c_16109,c_16108,c_16107,c_16106,c_16105,c_16104,c_16103,c_16102,c_16101,c_16100,c_16099,c_16098,c_16097,c_16096,c_16095,c_16094,c_16093,c_16092,c_16091,c_16090,c_16089,c_16088,c_16087,c_16086,c_16085,c_16084,c_16083,c_16082,c_16081,c_16080,c_16079,c_16078,c_16077,c_16076,c_16075,c_16074,c_16073,c_16072,c_16071,c_16070,c_16069,c_16068,c_16067,c_16066,c_16065,c_16064,c_16063,c_16062,c_16061,c_16060,c_16059,c_16058,c_16057,c_16056,c_16055,c_16054,c_16053,c_16052,c_16051,c_16050,c_16049,c_16048,c_16047,c_16046,c_16045,c_16044,c_16043,c_16040,c_16039,c_16038,c_16037,c_16036,c_16035,c_16034,c_16033,c_16032,c_16031,c_16029,c_16028,c_16027,c_16026,c_16025,c_16024,c_16023,c_16022,c_16021,c_16020,c_16019,c_16030,c_18582,c_15780,c_15779,c_15777,c_15776,c_15775,c_15774,c_15773,c_15772,c_15771,c_15770,c_15769,c_15768,c_15767,c_15766,c_15765,c_15764,c_15763,c_15762,c_15761,c_15760,c_15759,c_15758,c_15757,c_15756,c_15755,c_15754,c_15753,c_15752,c_15751,c_15750,c_15749,c_15748,c_15747,c_15746,c_15745,c_15744,c_15743,c_15742,c_15741,c_15740,c_15739,c_15738,c_15737,c_15736,c_15735,c_15734,c_15733,c_15732,c_15731,c_15730,c_15729,c_15728,c_15727,c_15726,c_15725,c_15724,c_15723,c_15722,c_15721,c_15720,c_15719,c_15718,c_15717,c_15716,c_15715,c_15714,c_15713,c_15712,c_15711,c_15710,c_15709,c_15708,c_15705,c_15704,c_15703,c_15702,c_15701,c_15700,c_15699,c_15698,c_15697,c_15696,c_15695,c_15694,c_15693,c_15692,c_15691,c_15690,c_15689,c_15688,c_15687,c_15686,c_15685,c_15684,c_15707,c_16042,c_18594,c_15496,c_15494,c_15493,c_15492,c_15491,c_15490,c_15489,c_15488,c_15487,c_15486,c_15485,c_15484,c_15483,c_15482,c_15481,c_15480,c_15479,c_15478,c_15477,c_15476,c_15475,c_15474,c_15473,c_15472,c_15471,c_15470,c_15469,c_15468,c_15467,c_15466,c_15465,c_15464,c_15463,c_15462,c_15461,c_15460,c_15459,c_15458,c_15457,c_15456,c_15455,c_15454,c_15453,c_15452,c_15451,c_15450,c_15449,c_15448,c_15447,c_15446,c_15445,c_15444,c_15443,c_15442,c_15441,c_15440,c_15439,c_15438,c_15437,c_15436,c_15435,c_15434,c_15433,c_15432,c_15431,c_15430,c_15429,c_15428,c_15427,c_15426,c_15425,c_15424,c_15422,c_15421,c_15420,c_15419,c_15418,c_15417,c_15416,c_15415,c_15414,c_15413,c_15412,c_15411,c_15410,c_15409,c_15408,c_15407,c_15406,c_15405,c_15404,c_15403,c_15402,c_15401,c_15337,c_15336,c_15335,c_15334,c_15333,c_15332,c_15331,c_15330,c_15329,c_15328,c_15327,c_15326,c_15325,c_15324,c_15323,c_15322,c_15321,c_15320,c_15319,c_15317,c_15315,c_15309,c_15273,c_15272,c_15271,c_15270,c_15269,c_15268,c_15267,c_15266,c_15265,c_15264,c_15263,c_15262,c_15261,c_15260,c_15259,c_15258,c_15257,c_15256,c_15255,c_15253,c_15251,c_15245,c_15203,c_15202,c_15201,c_15200,c_15199,c_15198,c_15197,c_15196,c_15195,c_15194,c_15193,c_15192,c_15191,c_15190,c_15189,c_15188,c_15187,c_15186,c_15185,c_15183,c_15181,c_15175,c_15139,c_15138,c_15137,c_15136,c_15135,c_15134,c_15133,c_15132,c_15131,c_15130,c_15129,c_15128,c_15127,c_15126,c_15125,c_15124,c_15123,c_15122,c_15121,c_15119,c_15117,c_15111,c_15105,c_15102,c_15099,c_15098,c_15033,c_15032,c_15031,c_15030,c_15029,c_15028,c_15027,c_15026,c_15025,c_15024,c_15023,c_15022,c_15021,c_15020,c_15019,c_15018,c_15017,c_15016,c_15015,c_15013,c_15011,c_15005,c_15423,c_15706,c_16041,c_18593,c_14879,c_14878,c_14877,c_14876,c_14875,c_14874,c_14873,c_14872,c_14871,c_14870,c_14869,c_14868,c_14867,c_14866,c_14865,c_14864,c_14863,c_14862,c_14861,c_14859,c_14857,c_14851,c_14829,c_14828,c_14827,c_14826,c_14825,c_14824,c_14823,c_14822,c_14821,c_14820,c_14819,c_14818,c_14817,c_14816,c_14815,c_14800,c_14799,c_14798,c_14797,c_14795,c_14793,c_14787,c_14759,c_14758,c_14757,c_14756,c_14755,c_14754,c_14753,c_14752,c_14751,c_14750,c_14749,c_14748,c_14747,c_14746,c_14745,c_14744,c_14743,c_14742,c_14741,c_14725,c_14723,c_14668,c_14667,c_14666,c_14665,c_14664,c_14663,c_14662,c_14661,c_14660,c_14659,c_14658,c_14657,c_14656,c_14655,c_14654,c_14653,c_14652,c_14651,c_14650,c_14649,c_14599,c_14598,c_14597,c_14596,c_14595,c_14594,c_14593,c_14592,c_14591,c_14590,c_14589,c_14588,c_14587,c_14586,c_14585,c_14581,c_14580,c_14579,c_14578,c_14577,c_14576,c_14540,c_14539,c_14538,c_14537,c_14536,c_14535,c_14534,c_14533,c_14532,c_14531,c_14530,c_14529,c_14528,c_14527,c_14526,c_14525,c_14524,c_14523,c_14522,c_14521,c_14484,c_14483,c_14482,c_14481,c_14480,c_14479,c_14478,c_14477,c_14476,c_14475,c_14474,c_14473,c_14472,c_14471,c_14470,c_14466,c_14465,c_14464,c_14463,c_14462,c_14461,c_14328,c_14327,c_14326,c_14325,c_14324,c_14323,c_14322,c_14321,c_14320,c_14319,c_14318,c_14317,c_14316,c_14315,c_14314,c_14313,c_14312,c_14311,c_14310,c_14309,c_14308,c_14307,c_14306,c_14305,c_14304,c_14303,c_14302,c_14301,c_14300,c_14299,c_14298,c_14297,c_14296,c_14295,c_14294,c_14293,c_14292,c_14291,c_14290,c_14289,c_14288,c_14287,c_14286,c_14285,c_14284,c_14283,c_14282,c_14281,c_14280,c_14279,c_14278,c_14277,c_14276,c_14275,c_14274,c_14273,c_14272,c_14271,c_14270,c_14269,c_14268,c_14267,c_14266,c_14265,c_14264,c_14263,c_14262,c_14261,c_14260,c_14259,c_14258,c_14257,c_14256,c_14255,c_14254,c_14253,c_14252,c_14251,c_14250,c_14249,c_14248,c_14247,c_18570,c_18569,c_18568,c_18567,c_18566,c_18565,c_18564,c_18563,c_18562,c_18561,c_18560,c_18559,c_18558,c_18557,c_18556,c_18555,c_18554,c_16018,c_16017,c_16016,c_16015,c_16014,c_16013,c_16012,c_16011,c_16010,c_16009,c_16008,c_16007,c_16006,c_16005,c_16004,c_16003,c_16002,c_16001,c_15778,c_15683,c_15682,c_15681,c_15680,c_15679,c_15678,c_15677,c_15676,c_15675,c_15672,c_15670,c_15669,c_15495,c_15400,c_15399,c_15398,c_15397,c_15396,c_15395,c_15394,c_15393,c_15392,c_15391,c_15389,c_15387,c_15386,c_14246,c_14245,c_14244,c_14243,c_14242,c_14241,c_14240,c_14239,c_14238,c_14237,c_14236,c_14235,c_14233,c_14232,c_12630,c_12629,c_12628,c_12627,c_12625,c_12624,c_12623,c_12622,c_12621,c_12620,c_12619,c_12618,c_12617,c_12616,c_12615,c_12614,c_12613,c_12612,c_12611,c_12610,c_12609,c_12608,c_12607,c_12606,c_12605,c_12604,c_12603,c_12602,c_12601,c_12600,c_12599,c_12598,c_12597,c_12596,c_12595,c_12594,c_12593,c_12592,c_12591,c_12590,c_12589,c_12588,c_12587,c_12586,c_12585,c_12584,c_12583,c_12582,c_12581,c_12580,c_12579,c_12578,c_12577,c_12576,c_12575,c_12574,c_12573,c_12572,c_12571,c_12570,c_12569,c_12568,c_12567,c_12566,c_12565,c_12564,c_12563,c_12562,c_12561,c_12560,c_12559,c_12558,c_12557,c_12556,c_12555,c_12554,c_12553,c_12552,c_12551,c_12550,c_12549,c_12548,c_12547,c_12546,c_12545,c_12544,c_12543,c_12542,c_12541,c_12540,c_12539,c_12538,c_12537,c_12536,c_12535,c_12534,c_12533,c_12532,c_12531,c_12530,c_12529,c_12458,c_12457,c_12456,c_12455,c_12454,c_12453,c_12452,c_12451,c_12450,c_12449,c_12448,c_12447,c_12446,c_12445,c_12444,c_12443,c_12442,c_12438,c_12436,c_12430,c_12393,c_12392,c_12391,c_12390,c_12389,c_12388,c_12387,c_12386,c_12385,c_12384,c_12383,c_12382,c_12381,c_12323,c_12322,c_12321,c_12320,c_12318,c_12316,c_12310,c_12223,c_12222,c_12221,c_12220,c_12219,c_12218,c_12217,c_12216,c_12215,c_12214,c_12213,c_12212,c_12211,c_12178,c_12177,c_12176,c_12175,c_12173,c_12171,c_12165,c_12142,c_12141,c_12140,c_12139,c_12138,c_12137,c_12136,c_12135,c_12134,c_12133,c_12132,c_12131,c_12130,c_12101,c_12100,c_12099,c_12098,c_12095,c_12093,c_12087,c_12038,c_12037,c_12036,c_12035,c_12034,c_12033,c_12032,c_12031,c_12030,c_12029,c_12028,c_12027,c_12026,c_12025,c_12024,c_12023,c_12022,c_12015,c_12012,c_12009,c_12008,c_12005,c_12003,c_11997,c_11946,c_11945,c_11944,c_11943,c_11942,c_11941,c_11940,c_11939,c_11938,c_11937,c_11936,c_11935,c_11934,c_11933,c_11932,c_11931,c_11930,c_11928,c_11926,c_11920,c_11869,c_11868,c_11867,c_11866,c_11865,c_11864,c_11863,c_11862,c_11861,c_11860,c_11859,c_11858,c_11857,c_11851,c_11850,c_11849,c_11848,c_11846,c_11844,c_11838,c_11830,c_11827,c_11824,c_11823,c_11763,c_11762,c_11761,c_11760,c_11759,c_11758,c_11757,c_11756,c_11755,c_11754,c_11753,c_11752,c_11751,c_11750,c_11749,c_11748,c_11747,c_11745,c_11743,c_11737,c_11662,c_11661,c_11660,c_11659,c_11658,c_11657,c_11656,c_11655,c_11654,c_11653,c_11652,c_11651,c_11650,c_11649,c_11648,c_11647,c_11646,c_11644,c_11642,c_11636,c_11583,c_11582,c_11581,c_11580,c_11579,c_11578,c_11577,c_11576,c_11575,c_11574,c_11573,c_11572,c_11571,c_11565,c_11564,c_11563,c_11562,c_11560,c_11558,c_11452,c_11451,c_11450,c_11449,c_11448,c_11447,c_11446,c_11445,c_11444,c_11443,c_11442,c_11441,c_11440,c_11439,c_11438,c_11437,c_11436,c_11434,c_11432,c_11426,c_11383,c_11382,c_11381,c_11380,c_11379,c_11378,c_11377,c_11376,c_11375,c_11374,c_11373,c_11372,c_11371,c_11370,c_11369,c_11368,c_11367,c_11343,c_11342,c_11341,c_11340,c_11339,c_11338,c_11337,c_11336,c_11335,c_11334,c_11333,c_11332,c_11331,c_11313,c_11312,c_11311,c_11310,c_11309,c_11308,c_11245,c_11244,c_11243,c_11242,c_11241,c_11240,c_11239,c_11238,c_11237,c_11236,c_11235,c_11234,c_11233,c_11232,c_11231,c_11230,c_11229,c_11228,c_11137,c_11136,c_11135,c_11134,c_11133,c_11132,c_11131,c_11130,c_11129,c_11128,c_11127,c_11126,c_11125,c_11121,c_11120,c_11119,c_11118,c_11117,c_11116,c_11079,c_11078,c_11077,c_11076,c_11075,c_11074,c_11073,c_11072,c_11071,c_11070,c_11069,c_11068,c_11067,c_11061,c_11060,c_11059,c_11058,c_10972,c_10971,c_10970,c_10969,c_10968,c_10967,c_10966,c_10965,c_10964,c_10963,c_10962,c_10961,c_10960,c_10956,c_10955,c_10954,c_10953,c_10952,c_10951,c_10667,c_10666,c_10664,c_10663,c_10662,c_10661,c_10660,c_10659,c_10658,c_10657,c_10656,c_10655,c_10654,c_10653,c_10652,c_10651,c_10650,c_10649,c_10648,c_10647,c_10646,c_10645,c_10644,c_10643,c_10642,c_10641,c_10640,c_10639,c_10638,c_10637,c_10636,c_10635,c_10634,c_10633,c_10632,c_10631,c_10630,c_10629,c_10628,c_10627,c_10626,c_10625,c_10624,c_10623,c_10622,c_10621,c_10620,c_10619,c_10618,c_10617,c_10616,c_10615,c_10614,c_10613,c_10612,c_10611,c_10610,c_10609,c_10608,c_10607,c_10606,c_10605,c_10604,c_10603,c_10602,c_10601,c_10600,c_10599,c_10598,c_10597,c_10596,c_10595,c_10594,c_10593,c_10592,c_10591,c_10590,c_10589,c_10588,c_10587,c_10586,c_10585,c_10584,c_10523,c_10522,c_10521,c_10520,c_10519,c_10518,c_10517,c_10516,c_10515,c_10514,c_10513,c_10512,c_10511,c_10510,c_10509,c_10508,c_10506,c_10504,c_10492,c_10450,c_10449,c_10448,c_10447,c_10446,c_10445,c_10444,c_10443,c_10442,c_10441,c_10440,c_10439,c_10438,c_10437,c_10436,c_10435,c_10433,c_10431,c_10425,c_10284,c_10283,c_10282,c_10281,c_10280,c_10279,c_10278,c_10277,c_10276,c_10275,c_10274,c_10273,c_10272,c_10271,c_10270,c_10269,c_10267,c_10265,c_10259,c_10084,c_10083,c_10082,c_10081,c_10080,c_10079,c_10078,c_10077,c_10076,c_10075,c_10074,c_10073,c_10072,c_10071,c_10070,c_10069,c_10067,c_10065,c_10059,c_10029,c_10028,c_10027,c_10026,c_10025,c_10024,c_10023,c_10022,c_10021,c_10020,c_10019,c_10018,c_10015,c_10014,c_10013,c_10012,c_10010,c_10008,c_9933,c_9884,c_9883,c_9882,c_9881,c_9880,c_9879,c_9878,c_9877,c_9876,c_9875,c_9874,c_9873,c_9846,c_9845,c_9844,c_9843,c_9841,c_9839,c_9831,c_9808,c_9807,c_9806,c_9805,c_9804,c_9803,c_9802,c_9801,c_9800,c_9799,c_9798,c_9797,c_9796,c_9795,c_9794,c_9793,c_9791,c_9789,c_9783,c_9689,c_9688,c_9687,c_9686,c_9685,c_9684,c_9683,c_9682,c_9681,c_9680,c_9679,c_9678,c_9675,c_9674,c_9673,c_9672,c_9670,c_9668,c_9662,c_9574,c_9573,c_9572,c_9571,c_9570,c_9569,c_9568,c_9567,c_9566,c_9565,c_9564,c_9563,c_9562,c_9561,c_9560,c_9559,c_9557,c_9555,c_9549,c_9426,c_9425,c_9424,c_9423,c_9422,c_9421,c_9420,c_9419,c_9418,c_9417,c_9416,c_9415,c_9314,c_9313,c_9312,c_9311,c_9309,c_9307,c_9301,c_9255,c_9254,c_9253,c_9252,c_9251,c_9250,c_9249,c_9248,c_9247,c_9246,c_9245,c_9244,c_9243,c_9242,c_9241,c_9240,c_9238,c_9236,c_9229,c_9226,c_9223,c_9222,c_9215,c_9101,c_9100,c_9099,c_9098,c_9097,c_9096,c_9095,c_9094,c_9093,c_9092,c_9091,c_9090,c_9089,c_9088,c_9087,c_9086,c_9085,c_9000,c_8999,c_8998,c_8997,c_8996,c_8995,c_8994,c_8993,c_8992,c_8991,c_8990,c_8989,c_8956,c_8955,c_8954,c_8953,c_8952,c_8951,c_8842,c_8841,c_8840,c_8839,c_8838,c_8837,c_8836,c_8835,c_8834,c_8833,c_8832,c_8831,c_8830,c_8829,c_8828,c_8827,c_8826,c_8706,c_8705,c_8704,c_8703,c_8702,c_8701,c_8700,c_8699,c_8698,c_8697,c_8696,c_8695,c_8691,c_8690,c_8689,c_8687,c_8686,c_8499,c_8498,c_8497,c_8496,c_8495,c_8494,c_8493,c_8492,c_8491,c_8490,c_8489,c_8488,c_8408,c_8407,c_8406,c_8405,c_8403,c_8401,c_8395,c_8277,c_8276,c_8275,c_8274,c_8273,c_8272,c_8271,c_8270,c_8269,c_8268,c_8267,c_8266,c_8242,c_8241,c_8240,c_8239,c_8162,c_8161,c_8160,c_8159,c_8158,c_8157,c_8156,c_8155,c_8154,c_8153,c_8152,c_8151,c_8147,c_8146,c_8145,c_8144,c_8143,c_8142,c_8119,c_8118,c_8117,c_8116,c_8115,c_8114,c_8113,c_8112,c_8111,c_8110,c_8109,c_8108,c_8107,c_8081,c_8080,c_8079,c_8078,c_7980,c_7979,c_7978,c_7977,c_7976,c_7975,c_7974,c_7973,c_7972,c_7971,c_7970,c_7969,c_7963,c_7962,c_7961,c_7959,c_7958,c_7733,c_7726,c_7725,c_7723,c_7722,c_7721,c_7720,c_7719,c_7718,c_7717,c_7716,c_7715,c_7714,c_7713,c_7712,c_7711,c_7710,c_7709,c_7708,c_7707,c_7706,c_7705,c_7704,c_7703,c_7702,c_7701,c_7700,c_7699,c_7698,c_7697,c_7696,c_7695,c_7694,c_7693,c_7692,c_7691,c_7690,c_7689,c_7688,c_7687,c_7686,c_7685,c_7684,c_7683,c_7682,c_7681,c_7680,c_7679,c_7678,c_7677,c_7676,c_7675,c_7674,c_7673,c_7672,c_7671,c_7670,c_7669,c_7668,c_7667,c_7666,c_7665,c_7664,c_7663,c_7662,c_7527,c_7526,c_7525,c_7524,c_7523,c_7522,c_7521,c_7520,c_7519,c_7518,c_7517,c_7516,c_7515,c_7514,c_7513,c_7493,c_7491,c_7485,c_7422,c_7421,c_7420,c_7419,c_7418,c_7417,c_7416,c_7415,c_7414,c_7413,c_7412,c_7411,c_7410,c_7409,c_7408,c_7406,c_7404,c_7398,c_7179,c_7178,c_7177,c_7176,c_7175,c_7174,c_7173,c_7172,c_7171,c_7170,c_7169,c_7168,c_7167,c_7166,c_7165,c_7163,c_7161,c_7155,c_7121,c_7120,c_7119,c_7118,c_7117,c_7116,c_7115,c_7114,c_7113,c_7112,c_7111,c_7110,c_7109,c_7108,c_7107,c_7105,c_7103,c_7097,c_16470,c_7050,c_7049,c_7048,c_7047,c_7046,c_7045,c_7044,c_7043,c_7042,c_7041,c_7040,c_7028,c_7027,c_7026,c_7025,c_7023,c_7021,c_7015,c_6992,c_6991,c_6990,c_6989,c_6988,c_6987,c_6986,c_6985,c_6984,c_6983,c_6982,c_6981,c_6980,c_6979,c_6978,c_6955,c_6953,c_6947,c_6941,c_6938,c_6935,c_6934,c_6845,c_6844,c_6843,c_6842,c_6841,c_6840,c_6839,c_6838,c_6837,c_6836,c_6835,c_6746,c_6745,c_6744,c_6743,c_6741,c_6739,c_6733,c_6708,c_6707,c_6706,c_6705,c_6704,c_6703,c_6702,c_6701,c_6700,c_6699,c_6698,c_6697,c_6696,c_6695,c_6694,c_6692,c_6690,c_6684,c_6612,c_6611,c_6610,c_6609,c_6608,c_6607,c_6606,c_6605,c_6604,c_6603,c_6602,c_6601,c_6600,c_6599,c_6598,c_6596,c_6594,c_6588,c_6582,c_6579,c_6576,c_6575,c_6529,c_6528,c_6527,c_6526,c_6525,c_6524,c_6523,c_6522,c_6521,c_6520,c_6519,c_6518,c_6517,c_6516,c_6515,c_6513,c_6511,c_6505,c_6435,c_6434,c_6433,c_6432,c_6431,c_6430,c_6429,c_6428,c_6427,c_6426,c_6425,c_6424,c_6423,c_6422,c_6421,c_6419,c_6417,c_6411,c_6373,c_6372,c_6371,c_6370,c_6369,c_6368,c_6367,c_6366,c_6365,c_6364,c_6363,c_6362,c_6361,c_6360,c_6359,c_6257,c_6255,c_6238,c_8688,c_6187,c_6186,c_6185,c_6184,c_6183,c_6182,c_6181,c_6180,c_6179,c_6178,c_6177,c_7960,c_6171,c_6170,c_6169,c_6168,c_6125,c_6123,c_6112,c_6056,c_6055,c_6054,c_6053,c_6052,c_6051,c_6050,c_6049,c_6048,c_6047,c_6046,c_6035,c_6034,c_6033,c_6032,c_6030,c_6028,c_5990,c_5989,c_5988,c_5987,c_5986,c_5985,c_5984,c_5983,c_5982,c_5981,c_5980,c_5979,c_5978,c_5977,c_5976,c_5974,c_5972,c_5966,c_5960,c_5956,c_5953,c_5952,c_5929,c_5928,c_5927,c_5926,c_5925,c_5924,c_5923,c_5922,c_5921,c_5920,c_5919,c_5851,c_5850,c_5849,c_5848,c_5823,c_5821,c_5752,c_5751,c_5750,c_5749,c_5748,c_5747,c_5746,c_5745,c_5744,c_5743,c_5742,c_5741,c_5740,c_5739,c_5738,c_5636,c_5635,c_5634,c_5633,c_5632,c_5631,c_5630,c_5629,c_5628,c_5627,c_5626,c_5607,c_5606,c_5605,c_5604,c_5603,c_5602,c_5554,c_5553,c_5552,c_5551,c_5550,c_5549,c_5548,c_5547,c_5546,c_5545,c_5544,c_5543,c_5542,c_5541,c_5540,c_5507,c_5506,c_5505,c_5504,c_5503,c_5502,c_5501,c_5500,c_5499,c_5498,c_5497,c_5483,c_5482,c_5481,c_5480,c_5479,c_5478,c_5381,c_5380,c_5379,c_5378,c_5377,c_5376,c_5375,c_5374,c_5373,c_5372,c_5371,c_5370,c_5369,c_5368,c_5367,c_5365,c_5363,c_5357,c_5351,c_5347,c_5344,c_5343,c_5310,c_5309,c_5308,c_5307,c_5306,c_5305,c_5304,c_5303,c_5302,c_5301,c_5300,c_5249,c_5246,c_5243,c_5242,c_5218,c_5217,c_5216,c_5215,c_5099,c_5098,c_5097,c_5096,c_5095,c_5094,c_5093,c_5092,c_5091,c_5090,c_5089,c_5085,c_5084,c_5083,c_5082,c_5081,c_5080,c_5011,c_5010,c_5009,c_5008,c_5007,c_5006,c_5005,c_5004,c_5003,c_5002,c_5001,c_4998,c_4997,c_4996,c_4995,c_4993,c_4991,c_4899,c_4898,c_4897,c_4896,c_4895,c_4894,c_4893,c_4892,c_4891,c_4890,c_4889,c_4888,c_4887,c_4886,c_4885,c_4883,c_4881,c_4770,c_4769,c_4768,c_4767,c_4766,c_4764,c_4763,c_4762,c_4761,c_4760,c_4759,c_4758,c_4757,c_4756,c_4755,c_4754,c_4753,c_4752,c_4751,c_4750,c_4749,c_4748,c_4747,c_4746,c_4745,c_4744,c_4743,c_4742,c_4741,c_4740,c_4739,c_4738,c_4737,c_4736,c_4735,c_4734,c_4733,c_4732,c_4731,c_4730,c_4729,c_4728,c_4727,c_4719,c_4716,c_4715,c_4714,c_4686,c_4685,c_4684,c_4683,c_4682,c_4681,c_4680,c_4679,c_4678,c_4677,c_4676,c_4675,c_4674,c_4673,c_4671,c_4669,c_4663,c_4507,c_4506,c_4505,c_4504,c_4503,c_4502,c_4501,c_4500,c_4499,c_4498,c_4496,c_4495,c_4494,c_4493,c_4490,c_4488,c_4481,c_4353,c_4352,c_4351,c_4350,c_4349,c_4348,c_4347,c_4346,c_4345,c_4344,c_4290,c_4289,c_4288,c_4287,c_4282,c_4280,c_4273,c_4208,c_4207,c_4206,c_4205,c_4204,c_4203,c_4202,c_4201,c_4200,c_4199,c_4197,c_4196,c_4195,c_4194,c_4191,c_4189,c_4182,c_4151,c_4150,c_4149,c_4148,c_4147,c_4146,c_4145,c_4144,c_4143,c_4142,c_4140,c_4139,c_4138,c_4137,c_4134,c_4132,c_4124,c_3978,c_3977,c_3976,c_3975,c_3974,c_3973,c_3972,c_3971,c_3970,c_3969,c_3961,c_3960,c_3959,c_3958,c_3956,c_3954,c_3948,c_3894,c_3893,c_3892,c_3891,c_3890,c_3889,c_3888,c_3887,c_3886,c_3885,c_3884,c_3883,c_3882,c_3881,c_3879,c_3877,c_3871,c_3841,c_3840,c_3839,c_3838,c_3837,c_3836,c_3835,c_3834,c_3833,c_3832,c_3807,c_3804,c_3801,c_3800,c_3799,c_3798,c_3797,c_3796,c_3794,c_3792,c_3786,c_3748,c_3747,c_3746,c_3745,c_3744,c_3743,c_3742,c_3741,c_3740,c_3739,c_3738,c_3737,c_3736,c_3735,c_3726,c_3724,c_3718,c_3695,c_3694,c_3693,c_3692,c_3691,c_3690,c_3689,c_3688,c_3687,c_3686,c_3685,c_3684,c_3683,c_3682,c_3680,c_3678,c_3672,c_3599,c_3598,c_3597,c_3596,c_3595,c_3594,c_3593,c_3592,c_3591,c_3590,c_3586,c_3585,c_3584,c_3583,c_3581,c_3579,c_3573,c_3544,c_3543,c_3542,c_3541,c_3540,c_3539,c_3538,c_3537,c_3536,c_3535,c_3534,c_3533,c_3473,c_3472,c_3471,c_3470,c_3469,c_3468,c_3467,c_3466,c_3465,c_3464,c_3460,c_3459,c_3458,c_3457,c_3454,c_3452,c_3446,c_3402,c_3401,c_3400,c_3399,c_3398,c_3397,c_3396,c_3395,c_3394,c_3393,c_3392,c_3391,c_3390,c_3389,c_3387,c_3385,c_3379,c_3338,c_3337,c_3336,c_3335,c_3334,c_3333,c_3332,c_3331,c_3330,c_3329,c_3328,c_3327,c_3326,c_3325,c_3323,c_3321,c_3315,c_3262,c_3261,c_3260,c_3259,c_3258,c_3257,c_3256,c_3255,c_3254,c_3253,c_3215,c_3214,c_3213,c_3212,c_3210,c_3208,c_3202,c_3159,c_3150,c_3145,c_3140,c_3135,c_3130,c_3125,c_3120,c_3115,c_3110,c_3109,c_3108,c_3107,c_3106,c_3105,c_3104,c_3103,c_3102,c_3101,c_3100,c_3099,c_3098,c_3097,c_3096,c_3047,c_3046,c_3045,c_3023,c_3020,c_3016,c_3013,c_3010,c_3007,c_3004,c_3001,c_2998,c_2995,c_2992,c_2989,c_2979,c_2976,c_2971,c_2968,c_2901,c_2900,c_2899,c_2898,c_2897,c_2896,c_2895,c_2894,c_2893,c_2892,c_2891,c_2890,c_2889,c_2888,c_2886,c_2884,c_2657,c_2656,c_2655,c_2654,c_2653,c_2652,c_2651,c_2650,c_2649,c_2648,c_2647,c_2646,c_2645,c_2644,c_2643,c_2642,c_2641,c_2640,c_2639,c_2638,c_2637,c_2636,c_2502,c_2501,c_2500,c_2499,c_2498,c_2497,c_2496,c_2495,c_2494,c_2493,c_2492,c_2491,c_2490,c_2489,c_2488,c_2487,c_2486,c_2485,c_2484,c_2483,c_2482,c_2481,c_2429,c_2425,c_2421,c_2399,c_2398,c_2397,c_2371,c_2370,c_2369,c_2368,c_2367,c_2366,c_2365,c_2364,c_2329,c_2328,c_2327,c_2326,c_2300,c_2298,c_2186,c_2185,c_2184,c_2183,c_2182,c_2181,c_2180,c_2179,c_2167,c_2166,c_2165,c_2164,c_2162,c_2160,c_2088,c_2087,c_2086,c_2085,c_2084,c_2083,c_2082,c_2081,c_2075,c_2074,c_2073,c_2072,c_2070,c_2068,c_1930,c_1929,c_1928,c_1927,c_1926,c_1925,c_1924,c_1923,c_1922,c_1921,c_1920,c_1919,c_1918,c_1917,c_1916,c_1915,c_1914,c_1913,c_1912,c_1793,c_1792,c_1791,c_1790,c_1789,c_1788,c_1787,c_1786,c_1785,c_1784,c_1783,c_1782,c_1781,c_1780,c_1779,c_1778,c_1777,c_1776,c_1775,c_1724,c_1723,c_1722,c_1721,c_1720,c_1719,c_1718,c_1717,c_1716,c_1715,c_1713,c_1711,c_1676,c_1675,c_1674,c_1673,c_1672,c_1671,c_1661,c_1660,c_1659,c_1658,c_1657,c_1656,c_1649,c_1648,c_1647,c_1646,c_1645,c_1644,c_1613,c_1612,c_1611,c_1610,c_1609,c_1608,c_1578,c_1577,c_1576,c_1513,c_1512,c_1511,c_1510,c_1509,c_1508,c_1468,c_1467,c_1466,c_1465,c_1464,c_1463,c_1462,c_1461,c_1460,c_1459,c_1458,c_1457,c_1456,c_1455,c_1453,c_1452,c_1451,c_1400,c_1399,c_1398,c_1397,c_1396,c_1395,c_1394,c_1393,c_1392,c_1391,c_1390,c_1389,c_1388,c_1387,c_1375,c_1374,c_1373,c_1372,c_1371,c_1342,c_1341,c_1340,c_1339,c_1338,c_1334,c_1333,c_1332,c_1331,c_1330,c_1326,c_1325,c_1324,c_1323,c_1322,c_1300,c_1299,c_1298,c_1297,c_1296,c_1295,c_1294,c_1292,c_1291,c_1289,c_1288,c_1286,c_1285,c_1277,c_1276,c_1274,c_1273,c_1271,c_1270,c_1228,c_1227,c_1226,c_1225,c_1224,c_1223,c_1222,c_1221,c_1220,c_1207,c_1206,c_1205,c_1204,c_1203,c_1186,c_1185,c_1184,c_1183,c_1182,c_1181,c_1180,c_1179,c_1176,c_1175,c_1174,c_1173,c_1172,c_1171,c_1170,c_1169,c_1144,c_1143,c_1142,c_1141,c_1095,c_1094,c_1093,c_1092,c_1091,c_1090,c_1081,c_1080,c_1078,c_1077,c_1076,c_1075,c_1070,c_1069,c_1068,c_1067,c_1066,c_1065,c_1064,c_1059,c_1058,c_1056,c_1055,c_1054,c_1053,c_1048,c_1047,c_1046,c_1041,c_1040,c_1039,c_1034,c_1033,c_1032,c_1031,c_1030,c_1021,c_1020,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG104+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n016.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 08:19:57 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...
% 14.76/2.82 % SZS status Started for theBenchmark.p
% 14.76/2.82 % SZS status Theorem for theBenchmark.p
% 14.76/2.82
% 14.76/2.82 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.76/2.82
% 14.76/2.82 % ------ iProver source info
% 14.76/2.82
% 14.76/2.82 % git: date: 2026-07-19 20:42:38 +0200
% 14.76/2.82 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.76/2.82 % git: non_committed_changes: false
% 14.76/2.82
% 14.76/2.82 % ------ Parsing...
% 14.76/2.82 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.76/2.82
% 14.76/2.82 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 14.76/2.82
% 14.76/2.82 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.76/2.82
% 14.76/2.82 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.76/2.82 % ------ Proving...
% 14.76/2.82 % ------ Problem Properties
% 14.76/2.82
% 14.76/2.82 %
% 14.76/2.82 % clauses 36
% 14.76/2.82 % conjectures 1
% 14.76/2.82 % EPR 6
% 14.76/2.82 % Horn 30
% 14.76/2.82 % unary 11
% 14.76/2.82 % binary 5
% 14.76/2.82 % lits 102
% 14.76/2.82 % lits eq 27
% 14.76/2.82 % fd_pure 0
% 14.76/2.82 % fd_pseudo 0
% 14.76/2.82 % fd_cond 1
% 14.76/2.82 % fd_pseudo_cond 7
% 14.76/2.82 % AC symbols 0
% 14.76/2.82
% 14.76/2.82 % ------ Schedule dynamic 5 is on
% 14.76/2.82
% 14.76/2.82 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.76/2.82
% 14.76/2.82
% 14.76/2.82 % ------
% 14.76/2.82 % Current options:
% 14.76/2.82 % ------
% 14.76/2.82
% 14.76/2.82
% 14.76/2.82 %
% 14.76/2.82
% 14.76/2.82 % ------ Proving...
% 14.76/2.82 %
% 14.76/2.82
% 14.76/2.82 % SZS status Theorem for theBenchmark.p
% 14.76/2.82
% 14.76/2.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.76/2.86
% 14.76/2.86
%------------------------------------------------------------------------------