%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG109+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 02:39:09 PM UTC 2026
% Result : Theorem 15.14s 3.26s
% Output : CNFRefutation 17.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 40
% Syntax : Number of formulae : 3768 ( 430 unt; 2 def)
% Number of atoms : 19430 (7624 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 24334 (8672 ~;15315 |; 261 &)
% ( 33 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 6 con; 0-4 aty)
% Number of variables : 9281 ( 0 sgn9205 !; 76 ?;8621 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
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/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCancel) ).
fof(f18,axiom,
sz10 != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mSetEq) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(f23,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ! [X2] :
( X2 = sdtasasdt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSInt) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f25,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> aIdeal0(sdtpldt1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeSum) ).
fof(f26,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> aIdeal0(sdtasasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIdeInt) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( aIdeal0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMod) ).
fof(f28,axiom,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(X2,sdtpldt1(X0,X1)) )
=> ! [X2,X3] :
( ( aElement0(X3)
& aElement0(X2) )
=> ? [X4] :
( sdteqdtlpzmzozddtrp0(X4,X3,X1)
& sdteqdtlpzmzozddtrp0(X4,X2,X0)
& aElement0(X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mChineseRemainder) ).
fof(f32,axiom,
! [X0,X1] :
( ( X1 != sz00
& aElement0(X1)
& aElement0(X0) )
=> ? [X2,X3] :
( ( X3 != sz00
=> iLess0(sbrdtbr0(X3),sbrdtbr0(X1)) )
& X0 = sdtpldt0(sdtasdt0(X2,X1),X3)
& aElement0(X3)
& aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivision) ).
fof(f33,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f34,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDvs) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( ( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0) )
=> doDivides0(X3,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefGCD) ).
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/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f38,axiom,
! [X0] :
( aElement0(X0)
=> aIdeal0(slsdtgt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrIdeal) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f40,axiom,
( xb != sz00
| xa != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2110) ).
fof(f41,axiom,
aGcdOfAnd0(xc,xa,xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2129) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f43,axiom,
( aElementOf0(xb,slsdtgt0(xb))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(f44,conjecture,
? [X0] :
( X0 != sz00
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ? [X0] :
( X0 != sz00
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f48,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(f49,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f50,plain,
! [X0,X1] :
( ( aIdeal0(X1)
& aIdeal0(X0) )
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(X2,sdtpldt1(X0,X1)) )
=> ! [X3,X4] :
( ( aElement0(X4)
& aElement0(X3) )
=> ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f53,plain,
! [X0,X1] :
( ( X1 != sz00
& aElement0(X1)
& aElement0(X0) )
=> ? [X2,X3] :
( X0 = sdtpldt0(sdtasdt0(X2,X1),X3)
& aElement0(X3)
& aElement0(X2) ) ),
inference(pure_predicate_removal,[],[f32]) ).
fof(f55,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f60]) ).
fof(f62,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(f63,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ~ aElement0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f65,plain,
! [X0] :
( ~ aElement0(X0)
| ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f66]) ).
fof(f68,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(f69,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0] :
( ~ aElement0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f71,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(f72,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,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ~ aElement0(X0)
| ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f74,plain,
! [X0] :
( ~ aElement0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f78,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,[],[f48]) ).
fof(f79,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,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtasasdt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtasasdt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aIdeal0(sdtpldt1(X0,X1)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aIdeal0(sdtpldt1(X0,X1)) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aIdeal0(sdtasasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aIdeal0(sdtasasdt0(X0,X1)) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ? [X2] :
( aElement0(X2)
& ~ aElementOf0(X2,sdtpldt1(X0,X1)) )
| ! [X3,X4] :
( ~ aElement0(X4)
| ~ aElement0(X3)
| ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ? [X2] :
( aElement0(X2)
& ~ aElementOf0(X2,sdtpldt1(X0,X1)) )
| ! [X3,X4] :
( ~ aElement0(X4)
| ~ aElement0(X3)
| ? [X5] :
( sdteqdtlpzmzozddtrp0(X5,X4,X1)
& sdteqdtlpzmzozddtrp0(X5,X3,X0)
& aElement0(X5) ) ) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0)
| ? [X2,X3] :
( X0 = sdtpldt0(sdtasdt0(X2,X1),X3)
& aElement0(X3)
& aElement0(X2) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f94,plain,
! [X0,X1] :
( sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0)
| ? [X2,X3] :
( X0 = sdtpldt0(sdtasdt0(X2,X1),X3)
& aElement0(X3)
& aElement0(X2) ) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) ) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0)
| doDivides0(X3,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ! [X2] :
( aGcdOfAnd0(X2,X0,X1)
<=> ( ! [X3] :
( ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0)
| doDivides0(X3,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) ) ),
inference(flattening,[],[f98]) ).
fof(f102,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(f103,plain,
! [X0] :
( ~ aElement0(X0)
| aIdeal0(slsdtgt0(X0)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f104,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ( aElementOf0(sK3(X0,X1),X1)
& ~ aElementOf0(sK3(X0,X1),X0) )
| ( aElementOf0(sK2(X0,X1),X0)
& ~ aElementOf0(sK2(X0,X1),X1) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f79]) ).
fof(f109,plain,
! [X1,X0] :
( ~ sP1(X1,X0)
| ! [X2] :
( ( sdtpldt1(X0,X1) != X2
| sP0(X2,X0,X1) )
& ( ~ sP0(X2,X0,X1)
| X2 = sdtpldt1(X0,X1) ) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f110,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ! [X2] :
( ( sdtpldt1(X1,X0) != X2
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| sdtpldt1(X1,X0) = X2 ) ) ),
inference(rectify,[],[f109]) ).
fof(f115,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( ( sdtasasdt0(X0,X1) != X2
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& ( ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| ~ aSet0(X2)
| X2 = sdtasasdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( ( sdtasasdt0(X0,X1) != X2
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& ( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& ( ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| ~ aSet0(X2)
| X2 = sdtasasdt0(X0,X1) ) ) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( ( sdtasasdt0(X0,X1) != X2
| ( ! [X4] :
( ( ~ aElementOf0(X4,X2)
| ( aElementOf0(X4,X1)
& aElementOf0(X4,X0) ) )
& ( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( aElementOf0(X3,X1)
& aElementOf0(X3,X0) ) )
& ( ~ aElementOf0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| ~ aSet0(X2)
| X2 = sdtasasdt0(X0,X1) ) ) ),
inference(rectify,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ! [X2] :
( ( sdtasasdt0(X0,X1) != X2
| ( ! [X4] :
( ( ~ aElementOf0(X4,X2)
| ( aElementOf0(X4,X1)
& aElementOf0(X4,X0) ) )
& ( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X2) ) )
& aSet0(X2) ) )
& ( ( ( aElementOf0(sK9(X0,X1,X2),X2)
| ( aElementOf0(sK9(X0,X1,X2),X1)
& aElementOf0(sK9(X0,X1,X2),X0) ) )
& ( ~ aElementOf0(sK9(X0,X1,X2),X2)
| ~ aElementOf0(sK9(X0,X1,X2),X1)
| ~ aElementOf0(sK9(X0,X1,X2),X0) ) )
| ~ aSet0(X2)
| X2 = sdtasasdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f117]) ).
fof(f119,plain,
! [X0] :
( ( ~ aIdeal0(X0)
| ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) )
& ( ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) )
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f120,plain,
! [X0] :
( ( ~ aIdeal0(X0)
| ( ! [X1] :
( ~ aElementOf0(X1,X0)
| ( ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) )
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) )
& ( ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) )
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ( ~ aIdeal0(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,X0)
| ( ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),X0) )
& ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) ) ) )
& aSet0(X0) ) )
& ( ? [X1] :
( aElementOf0(X1,X0)
& ( ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X1),X0) )
| ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(rectify,[],[f120]) ).
fof(f122,plain,
! [X0] :
( ( ~ aIdeal0(X0)
| ( ! [X4] :
( ~ aElementOf0(X4,X0)
| ( ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),X0) )
& ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) ) ) )
& aSet0(X0) ) )
& ( ( aElementOf0(sK10(X0),X0)
& ( ( aElement0(sK12(X0))
& ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0) )
| ( aElementOf0(sK11(X0),X0)
& ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0) ) ) )
| ~ aSet0(X0)
| aIdeal0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0))],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( ( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) )
& ( ~ aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| sdteqdtlpzmzozddtrp0(X0,X1,X2) ) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f124,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ? [X5] :
( aElement0(X5)
& ~ aElementOf0(X5,sdtpldt1(X0,X1)) )
| ! [X2,X3] :
( ~ aElement0(X3)
| ~ aElement0(X2)
| ? [X4] :
( sdteqdtlpzmzozddtrp0(X4,X3,X1)
& sdteqdtlpzmzozddtrp0(X4,X2,X0)
& aElement0(X4) ) ) ),
inference(rectify,[],[f92]) ).
fof(f125,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ( aElement0(sK14(X0,X1))
& ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1)) )
| ! [X2,X3] :
( ~ aElement0(X3)
| ~ aElement0(X2)
| ( sdteqdtlpzmzozddtrp0(sK13(X0,X1,X2,X3),X3,X1)
& sdteqdtlpzmzozddtrp0(sK13(X0,X1,X2,X3),X2,X0)
& aElement0(sK13(X0,X1,X2,X3)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1,X2,X3)),skolemize(X5,sK14(X0,X1))],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtpldt0(sdtasdt0(sK15(X0,X1),X1),sK16(X0,X1)) = X0
& aElement0(sK16(X0,X1))
& aElement0(sK15(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X2,sK15(X0,X1)),skolemize(X3,sK16(X0,X1))],[f94]) ).
fof(f127,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X2] :
( sdtasdt0(X0,X2) = X1
& aElement0(X2) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X1
& aElement0(X3) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK17(X0,X1)) = X1
& aElement0(sK17(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aElement0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X3,sK17(X0,X1))],[f128]) ).
fof(f130,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( ~ aDivisorOf0(X1,X0)
| ( doDivides0(X1,X0)
& aElement0(X1) ) )
& ( ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| aDivisorOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f131,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( ~ aDivisorOf0(X1,X0)
| ( doDivides0(X1,X0)
& aElement0(X1) ) )
& ( ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| aDivisorOf0(X1,X0) ) ) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( ~ aGcdOfAnd0(X2,X0,X1)
| ( ! [X3] :
( ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0)
| doDivides0(X3,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) )
& ( ? [X3] :
( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0)
& ~ doDivides0(X3,X2) )
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0)
| aGcdOfAnd0(X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( ~ aGcdOfAnd0(X2,X0,X1)
| ( ! [X3] :
( ~ aDivisorOf0(X3,X1)
| ~ aDivisorOf0(X3,X0)
| doDivides0(X3,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) )
& ( ? [X3] :
( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0)
& ~ doDivides0(X3,X2) )
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0)
| aGcdOfAnd0(X2,X0,X1) ) ) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( ~ aGcdOfAnd0(X2,X0,X1)
| ( ! [X4] :
( ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X0)
| doDivides0(X4,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) )
& ( ? [X3] :
( aDivisorOf0(X3,X1)
& aDivisorOf0(X3,X0)
& ~ doDivides0(X3,X2) )
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0)
| aGcdOfAnd0(X2,X0,X1) ) ) ),
inference(rectify,[],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( ~ aGcdOfAnd0(X2,X0,X1)
| ( ! [X4] :
( ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X0)
| doDivides0(X4,X2) )
& aDivisorOf0(X2,X1)
& aDivisorOf0(X2,X0) ) )
& ( ( aDivisorOf0(sK18(X0,X1,X2),X1)
& aDivisorOf0(sK18(X0,X1,X2),X0)
& ~ doDivides0(sK18(X0,X1,X2),X2) )
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0)
| aGcdOfAnd0(X2,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X3,sK18(X0,X1,X2))],[f134]) ).
fof(f137,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,[],[f102]) ).
fof(f138,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,[],[f137]) ).
fof(f139,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,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ~ aElement0(X0)
| ! [X1] :
( ( slsdtgt0(X0) != X1
| ( ! [X5] :
( ( ~ aElementOf0(X5,X1)
| ( sdtasdt0(X0,sK21(X0,X5)) = X5
& aElement0(sK21(X0,X5)) ) )
& ( ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) )
| aElementOf0(X5,X1) ) )
& aSet0(X1) ) )
& ( ( ( aElementOf0(sK19(X0,X1),X1)
| ( sK19(X0,X1) = sdtasdt0(X0,sK20(X0,X1))
& aElement0(sK20(X0,X1)) ) )
& ( ~ aElementOf0(sK19(X0,X1),X1)
| ! [X3] :
( sdtasdt0(X0,X3) != sK19(X0,X1)
| ~ aElement0(X3) ) ) )
| ~ aSet0(X1)
| X1 = slsdtgt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X2,sK19(X0,X1)),skolemize(X4,sK20(X0,X1)),skolemize(X7,sK21(X0,X5))],[f139]) ).
fof(f141,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f144,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f145,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f146,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f148,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f149,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f150,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f151,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f154,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f155,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f156,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,[],[f72]) ).
fof(f157,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,[],[f72]) ).
fof(f158,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f159,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f160,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f161,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f74]) ).
fof(f162,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f76]) ).
fof(f163,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f18]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK3(X0,X1),X1)
| aElementOf0(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK3(X0,X1),X0)
| aElementOf0(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK3(X0,X1),X1)
| ~ aElementOf0(sK2(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK3(X0,X1),X0)
| ~ aElementOf0(sK2(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| sdtpldt1(X1,X0) != X2
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| ~ sP0(X2,X1,X0)
| sdtpldt1(X1,X0) = X2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f181,plain,
! [X2,X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtasasdt0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f182,plain,
! [X2,X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtasasdt0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f183,plain,
! [X2,X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtasasdt0(X0,X1) != X2
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtasasdt0(X0,X1) != X2
| aSet0(X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK9(X0,X1,X2),X2)
| aElementOf0(sK9(X0,X1,X2),X1)
| ~ aSet0(X2)
| sdtasasdt0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f118]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK9(X0,X1,X2),X2)
| aElementOf0(sK9(X0,X1,X2),X0)
| ~ aSet0(X2)
| sdtasasdt0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f118]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK9(X0,X1,X2),X2)
| ~ aElementOf0(sK9(X0,X1,X2),X1)
| ~ aElementOf0(sK9(X0,X1,X2),X0)
| ~ aSet0(X2)
| sdtasasdt0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f118]) ).
fof(f188,plain,
! [X0,X6,X4] :
( ~ aIdeal0(X0)
| ~ aElementOf0(X4,X0)
| ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f189,plain,
! [X0,X4,X5] :
( ~ aIdeal0(X0)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X0)
| aElementOf0(sdtpldt0(X4,X5),X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f190,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f191,plain,
! [X0] :
( aElementOf0(sK10(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f192,plain,
! [X0] :
( aElement0(sK12(X0))
| aElementOf0(sK11(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f193,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0)
| aElementOf0(sK11(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f194,plain,
! [X0] :
( aElement0(sK12(X0))
| ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f195,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f196,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aIdeal0(sdtpldt1(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f197,plain,
! [X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aIdeal0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| aElementOf0(sdtpldt0(X0,smndt0(X1)),X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aElement0(sK14(X0,X1))
| ~ aElement0(X3)
| ~ aElement0(X2)
| sdteqdtlpzmzozddtrp0(sK13(X0,X1,X2,X3),X3,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1))
| ~ aElement0(X3)
| ~ aElement0(X2)
| sdteqdtlpzmzozddtrp0(sK13(X0,X1,X2,X3),X3,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aElement0(sK14(X0,X1))
| ~ aElement0(X3)
| ~ aElement0(X2)
| sdteqdtlpzmzozddtrp0(sK13(X0,X1,X2,X3),X2,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1))
| ~ aElement0(X3)
| ~ aElement0(X2)
| sdteqdtlpzmzozddtrp0(sK13(X0,X1,X2,X3),X2,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| aElement0(sK14(X0,X1))
| ~ aElement0(X3)
| ~ aElement0(X2)
| aElement0(sK13(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1))
| ~ aElement0(X3)
| ~ aElement0(X2)
| aElement0(sK13(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f206,plain,
! [X0,X1] :
( sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtasdt0(sK15(X0,X1),X1),sK16(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f207,plain,
! [X0,X1] :
( sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sK16(X0,X1)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f208,plain,
! [X0,X1] :
( sz00 = X1
| ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sK15(X0,X1)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f209,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK17(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f129]) ).
fof(f210,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1)
| aElement0(sK17(X0,X1)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aElement0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f212,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aDivisorOf0(X1,X0)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f213,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aDivisorOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f214,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1)
| aDivisorOf0(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f215,plain,
! [X2,X0,X1,X4] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aGcdOfAnd0(X2,X0,X1)
| ~ aDivisorOf0(X4,X1)
| ~ aDivisorOf0(X4,X0)
| doDivides0(X4,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aGcdOfAnd0(X2,X0,X1)
| aDivisorOf0(X2,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aGcdOfAnd0(X2,X0,X1)
| aDivisorOf0(X2,X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aDivisorOf0(sK18(X0,X1,X2),X1)
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0)
| aGcdOfAnd0(X2,X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aDivisorOf0(sK18(X0,X1,X2),X0)
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0)
| aGcdOfAnd0(X2,X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(sK18(X0,X1,X2),X2)
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0)
| aGcdOfAnd0(X2,X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f223,plain,
! [X0,X1,X5] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| ~ aElementOf0(X5,X1)
| sdtasdt0(X0,sK21(X0,X5)) = X5 ),
inference(cnf_transformation,[],[f140]) ).
fof(f224,plain,
! [X0,X1,X5] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| ~ aElementOf0(X5,X1)
| aElement0(sK21(X0,X5)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f225,plain,
! [X0,X1,X6,X5] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| sdtasdt0(X0,X6) != X5
| ~ aElement0(X6)
| aElementOf0(X5,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f226,plain,
! [X0,X1] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| aSet0(X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f227,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sK19(X0,X1),X1)
| sK19(X0,X1) = sdtasdt0(X0,sK20(X0,X1))
| ~ aSet0(X1)
| slsdtgt0(X0) = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f228,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElementOf0(sK19(X0,X1),X1)
| aElement0(sK20(X0,X1))
| ~ aSet0(X1)
| slsdtgt0(X0) = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f229,plain,
! [X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElementOf0(sK19(X0,X1),X1)
| sdtasdt0(X0,X3) != sK19(X0,X1)
| ~ aElement0(X3)
| ~ aSet0(X1)
| slsdtgt0(X0) = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f230,plain,
! [X0] :
( ~ aElement0(X0)
| aIdeal0(slsdtgt0(X0)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f231,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f232,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f233,plain,
( sz00 != xb
| sz00 != xa ),
inference(cnf_transformation,[],[f40]) ).
fof(f234,plain,
aGcdOfAnd0(xc,xa,xb),
inference(cnf_transformation,[],[f41]) ).
fof(f235,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f236,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f237,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f238,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f239,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f240,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f241,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(cnf_transformation,[],[f104]) ).
fof(f242,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(sdtpldt1(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f169]) ).
fof(f244,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aSet0(sdtasasdt0(X0,X1)) ),
inference(equality_resolution,[],[f184]) ).
fof(f245,plain,
! [X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,sdtasasdt0(X0,X1)) ),
inference(equality_resolution,[],[f183]) ).
fof(f246,plain,
! [X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X4,sdtasasdt0(X0,X1))
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f182]) ).
fof(f247,plain,
! [X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X4,sdtasasdt0(X0,X1))
| aElementOf0(X4,X1) ),
inference(equality_resolution,[],[f181]) ).
fof(f248,plain,
! [X2,X0] :
( ~ aElement0(sdtasdt0(X0,X2))
| ~ aElement0(X0)
| ~ aElement0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f211]) ).
fof(f249,plain,
! [X0] :
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ),
inference(equality_resolution,[],[f226]) ).
fof(f250,plain,
! [X0,X1,X6] :
( ~ aElement0(X0)
| slsdtgt0(X0) != X1
| ~ aElement0(X6)
| aElementOf0(sdtasdt0(X0,X6),X1) ),
inference(equality_resolution,[],[f225]) ).
fof(f251,plain,
! [X0,X6] :
( ~ aElement0(X0)
| ~ aElement0(X6)
| aElementOf0(sdtasdt0(X0,X6),slsdtgt0(X0)) ),
inference(equality_resolution,[],[f250]) ).
fof(f252,plain,
! [X0,X5] :
( ~ aElement0(X0)
| ~ aElementOf0(X5,slsdtgt0(X0))
| aElement0(sK21(X0,X5)) ),
inference(equality_resolution,[],[f224]) ).
fof(f253,plain,
! [X0,X5] :
( ~ aElement0(X0)
| ~ aElementOf0(X5,slsdtgt0(X0))
| sdtasdt0(X0,sK21(X0,X5)) = X5 ),
inference(equality_resolution,[],[f223]) ).
tcf(c_49,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f141]) ).
tcf(c_50,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f142]) ).
tcf(c_51,plain,
! [X0: $i] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_55,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,[],[f147]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_58,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_59,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_61,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,[],[f153]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_64,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,[],[f157]) ).
tcf(c_65,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,[],[f156]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( sdtasdt0(X0,smndt0(sz10)) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_68,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_69,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_71,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f163]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK3(X0,X1),X0)
| ~ aElementOf0(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(X0,X1),X1)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X0,X1),X0)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(X0,X1),X1)
| aElementOf0(sK2(X0,X1),X0)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt1(X1,X2) = X0 )
| ~ sP1(X2,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( sP1(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK9(X0,X1,X2),X2)
| ~ aElementOf0(sK9(X0,X1,X2),X1)
| ~ aElementOf0(sK9(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,X2),X2)
| aElementOf0(sK9(X0,X1,X2),X0)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,X2),X2)
| aElementOf0(sK9(X0,X1,X2),X1)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtasasdt0(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtasasdt0(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X2)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_96,plain,
! [X0: $i] :
( aIdeal0(X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_97,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElement0(sK12(X0))
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(sK10(X0),sK11(X0)),X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_98,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElementOf0(sK11(X0),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(sK12(X0),sK10(X0)),X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_99,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElement0(sK12(X0))
| aElementOf0(sK11(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_100,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElementOf0(sK10(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_101,plain,
! [X0: $i] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X0,X2),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtasdt0(X2,X0),X1)
| ~ aIdeal0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X0,smndt0(X1)),X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK13(X0,X1,X2,X3))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1)) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| aElement0(sK13(X2,X3,X0,X1))
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdteqdtlpzmzozddtrp0(sK13(X0,X1,X2,X3),X2,X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| sdteqdtlpzmzozddtrp0(sK13(X2,X3,X0,X1),X0,X2)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdteqdtlpzmzozddtrp0(sK13(X0,X1,X2,X3),X3,X1)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1)) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| sdteqdtlpzmzozddtrp0(sK13(X2,X3,X0,X1),X1,X3)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( aElement0(sK15(X0,X1))
| ( X1 = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( aElement0(sK16(X0,X1))
| ( X1 = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(X0,X1),X1),sK16(X0,X1)) = X0 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( aElement0(sK17(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK17(X0,X1)) = X1 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( aDivisorOf0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ aElement0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,X1)
| ~ aElement0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( aGcdOfAnd0(X2,X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aDivisorOf0(X2,X1)
| ~ aDivisorOf0(X2,X0)
| ~ doDivides0(sK18(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( aGcdOfAnd0(X0,X1,X2)
| aDivisorOf0(sK18(X1,X2,X0),X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aDivisorOf0(X0,X2)
| ~ aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( aGcdOfAnd0(X0,X1,X2)
| aDivisorOf0(sK18(X1,X2,X0),X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aDivisorOf0(X0,X2)
| ~ aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( aDivisorOf0(X0,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aGcdOfAnd0(X0,X1,X2) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( aDivisorOf0(X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aGcdOfAnd0(X0,X1,X2) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aDivisorOf0(X3,X2)
| ~ aDivisorOf0(X3,X1)
| ~ aGcdOfAnd0(X0,X1,X2) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X0) = X2 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(sK19(X0,X2),X2)
| ( sdtasdt0(X0,X1) != sK19(X0,X2) ) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,X1))
| aElementOf0(sK19(X0,X1),X1)
| ( slsdtgt0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK19(X0,X1),X1)
| ( slsdtgt0(X0) = X1 )
| ( sdtasdt0(X0,sK20(X0,X1)) = sK19(X0,X1) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_134,plain,
! [X0: $i] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X0,X1),slsdtgt0(X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( aElement0(sK21(X1,X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X1,sK21(X1,X0)) = X0 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_138,plain,
! [X0: $i] :
( aIdeal0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_139,plain,
aElement0(xa),
inference(cnf_transformation,[],[f232]) ).
tcf(c_140,plain,
aElement0(xb),
inference(cnf_transformation,[],[f231]) ).
tcf(c_141,plain,
( ( sz00 != xb )
| ( sz00 != xa ) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_142,plain,
aGcdOfAnd0(xc,xa,xb),
inference(cnf_transformation,[],[f234]) ).
tcf(c_143,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f236]) ).
tcf(c_144,plain,
sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
inference(cnf_transformation,[],[f235]) ).
tcf(c_145,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f240]) ).
tcf(c_146,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cnf_transformation,[],[f239]) ).
tcf(c_147,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(cnf_transformation,[],[f238]) ).
tcf(c_148,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f237]) ).
tcf(c_149,negated_conjecture,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_117,c_53,c_117]) ).
tcf(c_1068,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(light_normalisation,[status(thm)],[c_149,c_144]) ).
tcf(c_1639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtpldt1(X2,X0),X2,X0)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_78,c_88]) ).
tcf(c_1640,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(unflattening,[status(thm)],[c_1639]) ).
tcf(c_1651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt1(X0,X2) = X4 )
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ sP0(X4,X0,X2)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_77,c_88]) ).
tcf(c_1652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt1(X1,X2) = X0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ sP0(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_1651]) ).
tcf(c_1675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sdtpldt0(X4,smndt0(X5)),X6)
| ~ aIdeal0(X6)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1))
| ( X2 != X5 )
| ( X0 != X6 )
| ( sK13(X0,X1,X2,X3) != X4 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_110]) ).
tcf(c_1676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(sK13(X0,X1,X2,X3),smndt0(X2)),X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(sK13(X0,X1,X2,X3))
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_1675]) ).
tcf(c_1678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(sK13(X0,X1,X2,X3),smndt0(X2)),X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1676,c_108,c_1676]) ).
tcf(c_1699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElement0(sK14(X0,X1))
| aElementOf0(sdtpldt0(X4,smndt0(X5)),X6)
| ~ aIdeal0(X6)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ( X2 != X5 )
| ( X0 != X6 )
| ( sK13(X0,X1,X2,X3) != X4 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_111]) ).
tcf(c_1700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X0,X1))
| aElementOf0(sdtpldt0(sK13(X0,X1,X2,X3),smndt0(X2)),X0)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(sK13(X0,X1,X2,X3)) ),
inference(unflattening,[status(thm)],[c_1699]) ).
tcf(c_1716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| aElementOf0(sdtpldt0(sK13(X2,X3,X0,X1),smndt0(X0)),X2)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1700,c_109]) ).
tcf(c_1724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sdtpldt0(X4,smndt0(X5)),X6)
| ~ aIdeal0(X6)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1))
| ( X3 != X5 )
| ( X1 != X6 )
| ( sK13(X0,X1,X2,X3) != X4 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_112]) ).
tcf(c_1725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(sK13(X0,X1,X2,X3),smndt0(X3)),X1)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(sK13(X0,X1,X2,X3))
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1)) ),
inference(unflattening,[status(thm)],[c_1724]) ).
tcf(c_1726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(sK13(X0,X1,X2,X3),smndt0(X3)),X1)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(sK14(X0,X1),sdtpldt1(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1725,c_108,c_1725]) ).
tcf(c_1746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElement0(sK14(X0,X1))
| aElementOf0(sdtpldt0(X4,smndt0(X5)),X6)
| ~ aIdeal0(X6)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ( X3 != X5 )
| ( X1 != X6 )
| ( sK13(X0,X1,X2,X3) != X4 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_113]) ).
tcf(c_1747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X0,X1))
| aElementOf0(sdtpldt0(sK13(X0,X1,X2,X3),smndt0(X3)),X1)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(sK13(X0,X1,X2,X3)) ),
inference(unflattening,[status(thm)],[c_1746]) ).
tcf(c_1762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| aElementOf0(sdtpldt0(sK13(X2,X3,X0,X1),smndt0(X1)),X3)
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1747,c_109]) ).
tcf(c_5224,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(demodulation,[status(thm)],[c_1068]) ).
tcf(c_6772,plain,
aSet0(xI),
inference(superposition,[status(thm)],[c_143,c_101]) ).
tcf(c_6794,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_56]) ).
tcf(c_6795,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_50,c_56]) ).
tcf(c_6796,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz00) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_56]) ).
tcf(c_6797,plain,
sdtpldt0(xa,sz00) = xa,
inference(superposition,[status(thm)],[c_139,c_56]) ).
tcf(c_6798,plain,
sdtpldt0(xb,sz00) = xb,
inference(superposition,[status(thm)],[c_140,c_56]) ).
tcf(c_6807,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_50,c_57]) ).
tcf(c_6808,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,smndt0(X0)) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_57]) ).
tcf(c_6809,plain,
sdtpldt0(sz00,xa) = xa,
inference(superposition,[status(thm)],[c_139,c_57]) ).
tcf(c_6810,plain,
sdtpldt0(sz00,xb) = xb,
inference(superposition,[status(thm)],[c_140,c_57]) ).
tcf(c_6818,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_49,c_62]) ).
tcf(c_6819,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(superposition,[status(thm)],[c_50,c_62]) ).
tcf(c_6820,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz10) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_62]) ).
tcf(c_6821,plain,
sdtasdt0(xa,sz10) = xa,
inference(superposition,[status(thm)],[c_139,c_62]) ).
tcf(c_6822,plain,
sdtasdt0(xb,sz10) = xb,
inference(superposition,[status(thm)],[c_140,c_62]) ).
tcf(c_6830,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_63]) ).
tcf(c_6832,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,smndt0(X0)) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_63]) ).
tcf(c_6833,plain,
sdtasdt0(sz10,xa) = xa,
inference(superposition,[status(thm)],[c_139,c_63]) ).
tcf(c_6834,plain,
sdtasdt0(sz10,xb) = xb,
inference(superposition,[status(thm)],[c_140,c_63]) ).
tcf(c_6842,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_68]) ).
tcf(c_6844,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_68]) ).
tcf(c_6845,plain,
sdtasdt0(xa,sz00) = sz00,
inference(superposition,[status(thm)],[c_139,c_68]) ).
tcf(c_6846,plain,
sdtasdt0(xb,sz00) = sz00,
inference(superposition,[status(thm)],[c_140,c_68]) ).
tcf(c_6856,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(X0)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_69]) ).
tcf(c_6857,plain,
sdtasdt0(sz00,xa) = sz00,
inference(superposition,[status(thm)],[c_139,c_69]) ).
tcf(c_6858,plain,
sdtasdt0(sz00,xb) = sz00,
inference(superposition,[status(thm)],[c_140,c_69]) ).
tcf(c_6878,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElement0(sK10(X0))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_100,c_72]) ).
tcf(c_6903,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_69]) ).
tcf(c_6904,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_68]) ).
tcf(c_6905,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_63]) ).
tcf(c_6906,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_62]) ).
tcf(c_6907,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_57]) ).
tcf(c_6908,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_56]) ).
tcf(c_6939,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasdt0(sz00,sK10(X0)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_69]) ).
tcf(c_6940,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasdt0(sK10(X0),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_68]) ).
tcf(c_6941,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasdt0(sz10,sK10(X0)) = sK10(X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_63]) ).
tcf(c_6942,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasdt0(sK10(X0),sz10) = sK10(X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_62]) ).
tcf(c_6943,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtpldt0(sz00,sK10(X0)) = sK10(X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_57]) ).
tcf(c_6944,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtpldt0(sK10(X0),sz00) = sK10(X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_56]) ).
tcf(c_6987,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_69]) ).
tcf(c_6988,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_68]) ).
tcf(c_6989,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_63]) ).
tcf(c_6990,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_62]) ).
tcf(c_6991,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
tcf(c_6992,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_56]) ).
tcf(c_7021,plain,
sdtpldt0(sz00,smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_58]) ).
tcf(c_7022,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(superposition,[status(thm)],[c_50,c_58]) ).
tcf(c_7023,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_58]) ).
tcf(c_7024,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_58]) ).
tcf(c_7025,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_58]) ).
tcf(c_7026,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(superposition,[status(thm)],[c_139,c_58]) ).
tcf(c_7027,plain,
sdtpldt0(xb,smndt0(xb)) = sz00,
inference(superposition,[status(thm)],[c_140,c_58]) ).
tcf(c_7028,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtpldt0(sK10(X0),smndt0(sK10(X0))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_58]) ).
tcf(c_7052,plain,
sdtpldt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_59]) ).
tcf(c_7053,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(superposition,[status(thm)],[c_50,c_59]) ).
tcf(c_7054,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_59]) ).
tcf(c_7055,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_59]) ).
tcf(c_7056,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_59]) ).
tcf(c_7057,plain,
sdtpldt0(smndt0(xa),xa) = sz00,
inference(superposition,[status(thm)],[c_139,c_59]) ).
tcf(c_7058,plain,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(superposition,[status(thm)],[c_140,c_59]) ).
tcf(c_7059,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtpldt0(smndt0(sK10(X0)),sK10(X0)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_59]) ).
tcf(c_7092,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtpldt1(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_104,c_101]) ).
tcf(c_7103,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtasasdt0(X0,X1))
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_105,c_101]) ).
tcf(c_7122,plain,
sdtasdt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_6844]) ).
tcf(c_7123,plain,
sdtasdt0(smndt0(sz10),sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_6844]) ).
tcf(c_7124,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_6844]) ).
tcf(c_7125,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6844]) ).
tcf(c_7126,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6844]) ).
tcf(c_7127,plain,
sdtasdt0(smndt0(xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_139,c_6844]) ).
tcf(c_7128,plain,
sdtasdt0(smndt0(xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_140,c_6844]) ).
tcf(c_7129,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasdt0(smndt0(sK10(X0)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_6844]) ).
tcf(c_7153,plain,
sdtasdt0(sz00,smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_6856]) ).
tcf(c_7154,plain,
sdtasdt0(sz00,smndt0(sz10)) = sz00,
inference(superposition,[status(thm)],[c_50,c_6856]) ).
tcf(c_7155,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(X0))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_6856]) ).
tcf(c_7156,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6856]) ).
tcf(c_7157,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6856]) ).
tcf(c_7158,plain,
sdtasdt0(sz00,smndt0(xa)) = sz00,
inference(superposition,[status(thm)],[c_139,c_6856]) ).
tcf(c_7159,plain,
sdtasdt0(sz00,smndt0(xb)) = sz00,
inference(superposition,[status(thm)],[c_140,c_6856]) ).
tcf(c_7160,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasdt0(sz00,smndt0(sK10(X0))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_6856]) ).
tcf(c_7221,plain,
sdtasdt0(smndt0(sz10),sz00) = smndt0(sz00),
inference(superposition,[status(thm)],[c_49,c_66]) ).
tcf(c_7222,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference(superposition,[status(thm)],[c_50,c_66]) ).
tcf(c_7223,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz10),smndt0(X0)) = smndt0(smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_66]) ).
tcf(c_7224,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1)) = smndt0(sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_66]) ).
tcf(c_7225,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_66]) ).
tcf(c_7226,plain,
sdtasdt0(smndt0(sz10),xa) = smndt0(xa),
inference(superposition,[status(thm)],[c_139,c_66]) ).
tcf(c_7227,plain,
sdtasdt0(smndt0(sz10),xb) = smndt0(xb),
inference(superposition,[status(thm)],[c_140,c_66]) ).
tcf(c_7228,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasdt0(smndt0(sz10),sK10(X0)) = smndt0(sK10(X0)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_66]) ).
tcf(c_7229,plain,
smndt0(sz00) = sz00,
inference(light_normalisation,[status(thm)],[c_7221,c_7123]) ).
tcf(c_7253,plain,
sdtasdt0(sz00,smndt0(sz10)) = smndt0(sz00),
inference(superposition,[status(thm)],[c_49,c_67]) ).
tcf(c_7254,plain,
sdtasdt0(sz10,smndt0(sz10)) = smndt0(sz10),
inference(superposition,[status(thm)],[c_50,c_67]) ).
tcf(c_7255,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(sz10)) = smndt0(smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_67]) ).
tcf(c_7256,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10)) = smndt0(sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_67]) ).
tcf(c_7257,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_67]) ).
tcf(c_7258,plain,
sdtasdt0(xa,smndt0(sz10)) = smndt0(xa),
inference(superposition,[status(thm)],[c_139,c_67]) ).
tcf(c_7259,plain,
sdtasdt0(xb,smndt0(sz10)) = smndt0(xb),
inference(superposition,[status(thm)],[c_140,c_67]) ).
tcf(c_7260,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasdt0(sK10(X0),smndt0(sz10)) = smndt0(sK10(X0)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_67]) ).
tcf(c_7283,plain,
( doDivides0(sz00,sz00)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_6842,c_227]) ).
tcf(c_7284,plain,
( doDivides0(sz10,sz00)
| ~ aElement0(sz10)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_6830,c_227]) ).
tcf(c_7287,plain,
( doDivides0(smndt0(sz10),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7123,c_227]) ).
tcf(c_7288,plain,
( doDivides0(sz10,sz10)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_6819,c_227]) ).
tcf(c_7289,plain,
( doDivides0(xa,xa)
| ~ aElement0(xa)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_6821,c_227]) ).
tcf(c_7290,plain,
( doDivides0(xb,xb)
| ~ aElement0(xb)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_6822,c_227]) ).
tcf(c_7291,plain,
( doDivides0(sz10,xa)
| ~ aElement0(xa)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_6833,c_227]) ).
tcf(c_7292,plain,
( doDivides0(sz10,xb)
| ~ aElement0(xb)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_6834,c_227]) ).
tcf(c_7293,plain,
( doDivides0(xa,sz00)
| ~ aElement0(xa)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_6845,c_227]) ).
tcf(c_7294,plain,
( doDivides0(xb,sz00)
| ~ aElement0(xb)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_6846,c_227]) ).
tcf(c_7297,plain,
( doDivides0(smndt0(xa),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7127,c_227]) ).
tcf(c_7298,plain,
( doDivides0(smndt0(xb),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_7128,c_227]) ).
tcf(c_7301,plain,
doDivides0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_7288,c_50]) ).
tcf(c_7302,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7283,c_49]) ).
tcf(c_7303,plain,
doDivides0(xb,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7294,c_140,c_49]) ).
tcf(c_7304,plain,
doDivides0(xa,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7293,c_139,c_49]) ).
tcf(c_7305,plain,
doDivides0(sz10,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_7292,c_140,c_50]) ).
tcf(c_7306,plain,
doDivides0(sz10,xa),
inference(forward_subsumption_resolution,[status(thm)],[c_7291,c_139,c_50]) ).
tcf(c_7307,plain,
doDivides0(xb,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_7290,c_140,c_50]) ).
tcf(c_7308,plain,
doDivides0(xa,xa),
inference(forward_subsumption_resolution,[status(thm)],[c_7289,c_139,c_50]) ).
tcf(c_7309,plain,
doDivides0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7284,c_50,c_49]) ).
tcf(c_7310,plain,
( doDivides0(smndt0(xb),sz00)
| ~ aElement0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7298,c_49]) ).
tcf(c_7313,plain,
( doDivides0(smndt0(xa),sz00)
| ~ aElement0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7297,c_49]) ).
tcf(c_7316,plain,
( doDivides0(smndt0(sz10),sz00)
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7287,c_49]) ).
tcf(c_7338,plain,
! [X0: $i] :
( aIdeal0(X0)
| aElement0(sK12(X0))
| aElement0(sK11(X0))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_99,c_72]) ).
tcf(c_7350,plain,
( doDivides0(smndt0(sz10),smndt0(sz10))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7222,c_227]) ).
tcf(c_7353,plain,
( doDivides0(smndt0(sz10),smndt0(sz10))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7350,c_50]) ).
tcf(c_7356,plain,
( doDivides0(smndt0(sz10),smndt0(xa))
| ~ aElement0(xa)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7226,c_227]) ).
tcf(c_7357,plain,
( ( sz00 = xa )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xa)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xa) != sz00 ) ),
inference(superposition,[status(thm)],[c_7226,c_70]) ).
tcf(c_7358,plain,
( aElement0(smndt0(xa))
| ~ aElement0(xa)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7226,c_53]) ).
tcf(c_7359,plain,
( aElement0(smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7358,c_139]) ).
tcf(c_7362,plain,
( doDivides0(smndt0(sz10),smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7356,c_139]) ).
tcf(c_7365,plain,
( ( sz00 = xa )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xa) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7357,c_139]) ).
tcf(c_7372,plain,
( doDivides0(smndt0(sz10),smndt0(xb))
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7227,c_227]) ).
tcf(c_7373,plain,
( ( sz00 = xb )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xb) != sz00 ) ),
inference(superposition,[status(thm)],[c_7227,c_70]) ).
tcf(c_7374,plain,
( aElement0(smndt0(xb))
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7227,c_53]) ).
tcf(c_7375,plain,
( aElement0(smndt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7374,c_140]) ).
tcf(c_7378,plain,
( doDivides0(smndt0(sz10),smndt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7372,c_140]) ).
tcf(c_7381,plain,
( ( sz00 = xb )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xb) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7373,c_140]) ).
tcf(c_7396,plain,
( aElementOf0(sz00,slsdtgt0(sz00))
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_6842,c_135]) ).
tcf(c_7397,plain,
( aElementOf0(sz00,slsdtgt0(sz10))
| ~ aElement0(sz10)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_6830,c_135]) ).
tcf(c_7400,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(sz10)))
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7123,c_135]) ).
tcf(c_7401,plain,
( aElementOf0(sz10,slsdtgt0(sz10))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_6819,c_135]) ).
tcf(c_7404,plain,
( aElementOf0(xa,slsdtgt0(sz10))
| ~ aElement0(xa)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_6833,c_135]) ).
tcf(c_7405,plain,
( aElementOf0(xb,slsdtgt0(sz10))
| ~ aElement0(xb)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_6834,c_135]) ).
tcf(c_7410,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xa)))
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_7127,c_135]) ).
tcf(c_7411,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xb)))
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_7128,c_135]) ).
tcf(c_7414,plain,
( aElementOf0(smndt0(sz10),slsdtgt0(smndt0(sz10)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7222,c_135]) ).
tcf(c_7415,plain,
( aElementOf0(smndt0(xa),slsdtgt0(smndt0(sz10)))
| ~ aElement0(xa)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7226,c_135]) ).
tcf(c_7416,plain,
( aElementOf0(smndt0(xb),slsdtgt0(smndt0(sz10)))
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7227,c_135]) ).
tcf(c_7418,plain,
aElementOf0(sz10,slsdtgt0(sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_7401,c_50]) ).
tcf(c_7419,plain,
aElementOf0(sz00,slsdtgt0(sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7396,c_49]) ).
tcf(c_7420,plain,
aElementOf0(xb,slsdtgt0(sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_7405,c_140,c_50]) ).
tcf(c_7421,plain,
aElementOf0(xa,slsdtgt0(sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_7404,c_139,c_50]) ).
tcf(c_7422,plain,
aElementOf0(sz00,slsdtgt0(sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_7397,c_50,c_49]) ).
tcf(c_7423,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xb)))
| ~ aElement0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7411,c_49]) ).
tcf(c_7426,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xa)))
| ~ aElement0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7410,c_49]) ).
tcf(c_7429,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(sz10)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7400,c_49]) ).
tcf(c_7432,plain,
( aElementOf0(smndt0(xb),slsdtgt0(smndt0(sz10)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7416,c_140]) ).
tcf(c_7435,plain,
( aElementOf0(smndt0(xa),slsdtgt0(smndt0(sz10)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7415,c_139]) ).
tcf(c_7438,plain,
( aElementOf0(smndt0(sz10),slsdtgt0(smndt0(sz10)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7414,c_50]) ).
tcf(c_7457,plain,
! [X0: $i] :
( aIdeal0(slsdtgt0(X0))
| aElement0(sK12(slsdtgt0(X0)))
| aElement0(sK21(X0,sK11(slsdtgt0(X0))))
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_99,c_136]) ).
tcf(c_7458,plain,
! [X0: $i] :
( aIdeal0(slsdtgt0(X0))
| aElement0(sK21(X0,sK10(slsdtgt0(X0))))
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_100,c_136]) ).
tcf(c_7459,plain,
! [X0: $i,X1: $i] :
( aElement0(sK21(X0,sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_135,c_136]) ).
tcf(c_7460,plain,
( aElement0(sK21(xa,sz00))
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_145,c_136]) ).
tcf(c_7461,plain,
( aElement0(sK21(xa,xa))
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_146,c_136]) ).
tcf(c_7462,plain,
( aElement0(sK21(xb,sz00))
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_147,c_136]) ).
tcf(c_7463,plain,
( aElement0(sK21(xb,xb))
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_148,c_136]) ).
tcf(c_7464,plain,
aElement0(sK21(xb,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_7463,c_140]) ).
tcf(c_7465,plain,
aElement0(sK21(xb,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7462,c_140]) ).
tcf(c_7466,plain,
aElement0(sK21(xa,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_7461,c_139]) ).
tcf(c_7467,plain,
aElement0(sK21(xa,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7460,c_139]) ).
tcf(c_7498,plain,
! [X0: $i,X1: $i] :
( aDivisorOf0(X0,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_227,c_120]) ).
tcf(c_7499,plain,
( aDivisorOf0(sz00,sz00)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7302,c_120]) ).
tcf(c_7500,plain,
( aDivisorOf0(sz10,sz00)
| ~ aElement0(sz10)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7309,c_120]) ).
tcf(c_7501,plain,
( aDivisorOf0(sz10,sz10)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7301,c_120]) ).
tcf(c_7502,plain,
( aDivisorOf0(xa,xa)
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_7308,c_120]) ).
tcf(c_7503,plain,
( aDivisorOf0(xb,xb)
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_7307,c_120]) ).
tcf(c_7504,plain,
( aDivisorOf0(sz10,xa)
| ~ aElement0(xa)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7306,c_120]) ).
tcf(c_7505,plain,
( aDivisorOf0(sz10,xb)
| ~ aElement0(xb)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7305,c_120]) ).
tcf(c_7506,plain,
( aDivisorOf0(xa,sz00)
| ~ aElement0(xa)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7304,c_120]) ).
tcf(c_7507,plain,
( aDivisorOf0(xb,sz00)
| ~ aElement0(xb)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7303,c_120]) ).
tcf(c_7508,plain,
aDivisorOf0(xb,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_7503,c_140]) ).
tcf(c_7509,plain,
aDivisorOf0(xa,xa),
inference(forward_subsumption_resolution,[status(thm)],[c_7502,c_139]) ).
tcf(c_7510,plain,
aDivisorOf0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_7501,c_50]) ).
tcf(c_7511,plain,
aDivisorOf0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7499,c_49]) ).
tcf(c_7512,plain,
aDivisorOf0(xb,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7507,c_140,c_49]) ).
tcf(c_7513,plain,
aDivisorOf0(xa,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7506,c_139,c_49]) ).
tcf(c_7514,plain,
aDivisorOf0(sz10,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_7505,c_140,c_50]) ).
tcf(c_7515,plain,
aDivisorOf0(sz10,xa),
inference(forward_subsumption_resolution,[status(thm)],[c_7504,c_139,c_50]) ).
tcf(c_7516,plain,
aDivisorOf0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7500,c_50,c_49]) ).
tcf(c_7539,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_54]) ).
tcf(c_7540,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_54]) ).
tcf(c_7541,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(X0),X1) = sdtpldt0(X1,smndt0(X0)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_54]) ).
tcf(c_7542,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_52,c_54]) ).
tcf(c_7543,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_53,c_54]) ).
tcf(c_7544,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xa) = sdtpldt0(xa,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_139,c_54]) ).
tcf(c_7545,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xb) = sdtpldt0(xb,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_54]) ).
tcf(c_7546,plain,
! [X0: $i,X1: $i] :
( aIdeal0(X1)
| ( sdtpldt0(sK10(X1),X0) = sdtpldt0(X0,sK10(X1)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_54]) ).
tcf(c_7603,plain,
( aElement0(sK21(sz10,sz10))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7418,c_136]) ).
tcf(c_7604,plain,
aElement0(sK21(sz10,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_7603,c_50]) ).
tcf(c_7606,plain,
( aElement0(sK21(sz00,sz00))
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7419,c_136]) ).
tcf(c_7607,plain,
aElement0(sK21(sz00,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7606,c_49]) ).
tcf(c_7619,plain,
( aElement0(sK21(sz10,xb))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7420,c_136]) ).
tcf(c_7620,plain,
aElement0(sK21(sz10,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_7619,c_50]) ).
tcf(c_7621,plain,
( aElementOf0(smndt0(xa),slsdtgt0(xa))
| ~ aElement0(xa)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7258,c_135]) ).
tcf(c_7622,plain,
( doDivides0(xa,smndt0(xa))
| ~ aElement0(xa)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7258,c_227]) ).
tcf(c_7625,plain,
( doDivides0(xa,smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7622,c_139]) ).
tcf(c_7628,plain,
( aElementOf0(smndt0(xa),slsdtgt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7621,c_139]) ).
tcf(c_7637,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
tcf(c_7638,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_60]) ).
tcf(c_7639,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = sdtasdt0(X1,smndt0(X0)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_60]) ).
tcf(c_7640,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_52,c_60]) ).
tcf(c_7641,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_53,c_60]) ).
tcf(c_7642,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xa) = sdtasdt0(xa,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_139,c_60]) ).
tcf(c_7643,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xb) = sdtasdt0(xb,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_60]) ).
tcf(c_7644,plain,
! [X0: $i,X1: $i] :
( aIdeal0(X1)
| ( sdtasdt0(sK10(X1),X0) = sdtasdt0(X0,sK10(X1)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_60]) ).
tcf(c_7692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK15(X0,X1),X2) = sdtasdt0(X2,sK15(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_60]) ).
tcf(c_7693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK15(X0,X1),X2) = sdtpldt0(X2,sK15(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_54]) ).
tcf(c_7694,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK15(X0,X1),smndt0(sz10)) = smndt0(sK15(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_67]) ).
tcf(c_7695,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(smndt0(sz10),sK15(X0,X1)) = smndt0(sK15(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_66]) ).
tcf(c_7696,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sz00,smndt0(sK15(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_6856]) ).
tcf(c_7697,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(smndt0(sK15(X0,X1)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_6844]) ).
tcf(c_7698,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(smndt0(sK15(X0,X1)),sK15(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_59]) ).
tcf(c_7699,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK15(X0,X1),smndt0(sK15(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_58]) ).
tcf(c_7700,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sz00,sK15(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_69]) ).
tcf(c_7701,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK15(X0,X1),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_68]) ).
tcf(c_7702,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sz10,sK15(X0,X1)) = sK15(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_63]) ).
tcf(c_7703,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK15(X0,X1),sz10) = sK15(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_62]) ).
tcf(c_7704,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sz00,sK15(X0,X1)) = sK15(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_57]) ).
tcf(c_7705,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK15(X0,X1),sz00) = sK15(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_56]) ).
tcf(c_7792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK16(X0,X1),X2) = sdtasdt0(X2,sK16(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_60]) ).
tcf(c_7793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK16(X0,X1),X2) = sdtpldt0(X2,sK16(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_54]) ).
tcf(c_7794,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK16(X0,X1),smndt0(sz10)) = smndt0(sK16(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_67]) ).
tcf(c_7795,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(smndt0(sz10),sK16(X0,X1)) = smndt0(sK16(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_66]) ).
tcf(c_7796,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sz00,smndt0(sK16(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_6856]) ).
tcf(c_7797,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(smndt0(sK16(X0,X1)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_6844]) ).
tcf(c_7798,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(smndt0(sK16(X0,X1)),sK16(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_59]) ).
tcf(c_7799,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK16(X0,X1),smndt0(sK16(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_58]) ).
tcf(c_7800,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sz00,sK16(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_69]) ).
tcf(c_7801,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK16(X0,X1),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_68]) ).
tcf(c_7802,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sz10,sK16(X0,X1)) = sK16(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_63]) ).
tcf(c_7803,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sK16(X0,X1),sz10) = sK16(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_62]) ).
tcf(c_7804,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sz00,sK16(X0,X1)) = sK16(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_57]) ).
tcf(c_7805,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sK16(X0,X1),sz00) = sK16(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_56]) ).
tcf(c_7882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK17(X0,X1),X2) = sdtasdt0(X2,sK17(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_60]) ).
tcf(c_7883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK17(X0,X1),X2) = sdtpldt0(X2,sK17(X0,X1)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_54]) ).
tcf(c_7884,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK17(X0,X1),smndt0(sz10)) = smndt0(sK17(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_67]) ).
tcf(c_7885,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sz10),sK17(X0,X1)) = smndt0(sK17(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_66]) ).
tcf(c_7886,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sK17(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_6856]) ).
tcf(c_7887,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sK17(X0,X1)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_6844]) ).
tcf(c_7888,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sK17(X0,X1)),sK17(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_59]) ).
tcf(c_7889,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK17(X0,X1),smndt0(sK17(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_58]) ).
tcf(c_7890,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK17(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_69]) ).
tcf(c_7891,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK17(X0,X1),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_68]) ).
tcf(c_7892,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK17(X0,X1)) = sK17(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_63]) ).
tcf(c_7893,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK17(X0,X1),sz10) = sK17(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_62]) ).
tcf(c_7894,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK17(X0,X1)) = sK17(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_57]) ).
tcf(c_7895,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK17(X0,X1),sz00) = sK17(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_56]) ).
tcf(c_7988,plain,
( aElement0(sK21(sz10,xa))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7421,c_136]) ).
tcf(c_7989,plain,
aElement0(sK21(sz10,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_7988,c_50]) ).
tcf(c_7991,plain,
( aElement0(sK21(sz10,sz00))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7422,c_136]) ).
tcf(c_7992,plain,
aElement0(sK21(sz10,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_7991,c_50]) ).
tcf(c_7993,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(xb,xb),X0) = sdtasdt0(X0,sK21(xb,xb)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7464,c_60]) ).
tcf(c_7994,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(xb,xb),X0) = sdtpldt0(X0,sK21(xb,xb)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7464,c_54]) ).
tcf(c_7995,plain,
sdtasdt0(sK21(xb,xb),smndt0(sz10)) = smndt0(sK21(xb,xb)),
inference(superposition,[status(thm)],[c_7464,c_67]) ).
tcf(c_7996,plain,
sdtasdt0(smndt0(sz10),sK21(xb,xb)) = smndt0(sK21(xb,xb)),
inference(superposition,[status(thm)],[c_7464,c_66]) ).
tcf(c_7997,plain,
sdtasdt0(sz00,smndt0(sK21(xb,xb))) = sz00,
inference(superposition,[status(thm)],[c_7464,c_6856]) ).
tcf(c_7998,plain,
sdtasdt0(smndt0(sK21(xb,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7464,c_6844]) ).
tcf(c_7999,plain,
sdtpldt0(smndt0(sK21(xb,xb)),sK21(xb,xb)) = sz00,
inference(superposition,[status(thm)],[c_7464,c_59]) ).
tcf(c_8000,plain,
sdtpldt0(sK21(xb,xb),smndt0(sK21(xb,xb))) = sz00,
inference(superposition,[status(thm)],[c_7464,c_58]) ).
tcf(c_8001,plain,
sdtasdt0(sz00,sK21(xb,xb)) = sz00,
inference(superposition,[status(thm)],[c_7464,c_69]) ).
tcf(c_8002,plain,
sdtasdt0(sK21(xb,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_7464,c_68]) ).
tcf(c_8003,plain,
sdtasdt0(sz10,sK21(xb,xb)) = sK21(xb,xb),
inference(superposition,[status(thm)],[c_7464,c_63]) ).
tcf(c_8004,plain,
sdtasdt0(sK21(xb,xb),sz10) = sK21(xb,xb),
inference(superposition,[status(thm)],[c_7464,c_62]) ).
tcf(c_8005,plain,
sdtpldt0(sz00,sK21(xb,xb)) = sK21(xb,xb),
inference(superposition,[status(thm)],[c_7464,c_57]) ).
tcf(c_8006,plain,
sdtpldt0(sK21(xb,xb),sz00) = sK21(xb,xb),
inference(superposition,[status(thm)],[c_7464,c_56]) ).
tcf(c_8029,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(xb,sz00),X0) = sdtasdt0(X0,sK21(xb,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7465,c_60]) ).
tcf(c_8030,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(xb,sz00),X0) = sdtpldt0(X0,sK21(xb,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7465,c_54]) ).
tcf(c_8031,plain,
sdtasdt0(sK21(xb,sz00),smndt0(sz10)) = smndt0(sK21(xb,sz00)),
inference(superposition,[status(thm)],[c_7465,c_67]) ).
tcf(c_8032,plain,
sdtasdt0(smndt0(sz10),sK21(xb,sz00)) = smndt0(sK21(xb,sz00)),
inference(superposition,[status(thm)],[c_7465,c_66]) ).
tcf(c_8033,plain,
sdtasdt0(sz00,smndt0(sK21(xb,sz00))) = sz00,
inference(superposition,[status(thm)],[c_7465,c_6856]) ).
tcf(c_8034,plain,
sdtasdt0(smndt0(sK21(xb,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7465,c_6844]) ).
tcf(c_8035,plain,
sdtpldt0(smndt0(sK21(xb,sz00)),sK21(xb,sz00)) = sz00,
inference(superposition,[status(thm)],[c_7465,c_59]) ).
tcf(c_8036,plain,
sdtpldt0(sK21(xb,sz00),smndt0(sK21(xb,sz00))) = sz00,
inference(superposition,[status(thm)],[c_7465,c_58]) ).
tcf(c_8037,plain,
sdtasdt0(sz00,sK21(xb,sz00)) = sz00,
inference(superposition,[status(thm)],[c_7465,c_69]) ).
tcf(c_8038,plain,
sdtasdt0(sK21(xb,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7465,c_68]) ).
tcf(c_8039,plain,
sdtasdt0(sz10,sK21(xb,sz00)) = sK21(xb,sz00),
inference(superposition,[status(thm)],[c_7465,c_63]) ).
tcf(c_8040,plain,
sdtasdt0(sK21(xb,sz00),sz10) = sK21(xb,sz00),
inference(superposition,[status(thm)],[c_7465,c_62]) ).
tcf(c_8041,plain,
sdtpldt0(sz00,sK21(xb,sz00)) = sK21(xb,sz00),
inference(superposition,[status(thm)],[c_7465,c_57]) ).
tcf(c_8042,plain,
sdtpldt0(sK21(xb,sz00),sz00) = sK21(xb,sz00),
inference(superposition,[status(thm)],[c_7465,c_56]) ).
tcf(c_8067,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(xa,xa),X0) = sdtasdt0(X0,sK21(xa,xa)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7466,c_60]) ).
tcf(c_8068,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(xa,xa),X0) = sdtpldt0(X0,sK21(xa,xa)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7466,c_54]) ).
tcf(c_8069,plain,
sdtasdt0(sK21(xa,xa),smndt0(sz10)) = smndt0(sK21(xa,xa)),
inference(superposition,[status(thm)],[c_7466,c_67]) ).
tcf(c_8070,plain,
sdtasdt0(smndt0(sz10),sK21(xa,xa)) = smndt0(sK21(xa,xa)),
inference(superposition,[status(thm)],[c_7466,c_66]) ).
tcf(c_8071,plain,
sdtasdt0(sz00,smndt0(sK21(xa,xa))) = sz00,
inference(superposition,[status(thm)],[c_7466,c_6856]) ).
tcf(c_8072,plain,
sdtasdt0(smndt0(sK21(xa,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7466,c_6844]) ).
tcf(c_8073,plain,
sdtpldt0(smndt0(sK21(xa,xa)),sK21(xa,xa)) = sz00,
inference(superposition,[status(thm)],[c_7466,c_59]) ).
tcf(c_8074,plain,
sdtpldt0(sK21(xa,xa),smndt0(sK21(xa,xa))) = sz00,
inference(superposition,[status(thm)],[c_7466,c_58]) ).
tcf(c_8075,plain,
sdtasdt0(sz00,sK21(xa,xa)) = sz00,
inference(superposition,[status(thm)],[c_7466,c_69]) ).
tcf(c_8076,plain,
sdtasdt0(sK21(xa,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_7466,c_68]) ).
tcf(c_8077,plain,
sdtasdt0(sz10,sK21(xa,xa)) = sK21(xa,xa),
inference(superposition,[status(thm)],[c_7466,c_63]) ).
tcf(c_8078,plain,
sdtasdt0(sK21(xa,xa),sz10) = sK21(xa,xa),
inference(superposition,[status(thm)],[c_7466,c_62]) ).
tcf(c_8079,plain,
sdtpldt0(sz00,sK21(xa,xa)) = sK21(xa,xa),
inference(superposition,[status(thm)],[c_7466,c_57]) ).
tcf(c_8080,plain,
sdtpldt0(sK21(xa,xa),sz00) = sK21(xa,xa),
inference(superposition,[status(thm)],[c_7466,c_56]) ).
tcf(c_8126,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(xa,sz00),X0) = sdtasdt0(X0,sK21(xa,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7467,c_60]) ).
tcf(c_8127,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(xa,sz00),X0) = sdtpldt0(X0,sK21(xa,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7467,c_54]) ).
tcf(c_8128,plain,
sdtasdt0(sK21(xa,sz00),smndt0(sz10)) = smndt0(sK21(xa,sz00)),
inference(superposition,[status(thm)],[c_7467,c_67]) ).
tcf(c_8129,plain,
sdtasdt0(smndt0(sz10),sK21(xa,sz00)) = smndt0(sK21(xa,sz00)),
inference(superposition,[status(thm)],[c_7467,c_66]) ).
tcf(c_8130,plain,
sdtasdt0(sz00,smndt0(sK21(xa,sz00))) = sz00,
inference(superposition,[status(thm)],[c_7467,c_6856]) ).
tcf(c_8131,plain,
sdtasdt0(smndt0(sK21(xa,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7467,c_6844]) ).
tcf(c_8132,plain,
sdtpldt0(smndt0(sK21(xa,sz00)),sK21(xa,sz00)) = sz00,
inference(superposition,[status(thm)],[c_7467,c_59]) ).
tcf(c_8133,plain,
sdtpldt0(sK21(xa,sz00),smndt0(sK21(xa,sz00))) = sz00,
inference(superposition,[status(thm)],[c_7467,c_58]) ).
tcf(c_8134,plain,
sdtasdt0(sz00,sK21(xa,sz00)) = sz00,
inference(superposition,[status(thm)],[c_7467,c_69]) ).
tcf(c_8135,plain,
sdtasdt0(sK21(xa,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7467,c_68]) ).
tcf(c_8136,plain,
sdtasdt0(sz10,sK21(xa,sz00)) = sK21(xa,sz00),
inference(superposition,[status(thm)],[c_7467,c_63]) ).
tcf(c_8137,plain,
sdtasdt0(sK21(xa,sz00),sz10) = sK21(xa,sz00),
inference(superposition,[status(thm)],[c_7467,c_62]) ).
tcf(c_8138,plain,
sdtpldt0(sz00,sK21(xa,sz00)) = sK21(xa,sz00),
inference(superposition,[status(thm)],[c_7467,c_57]) ).
tcf(c_8139,plain,
sdtpldt0(sK21(xa,sz00),sz00) = sK21(xa,sz00),
inference(superposition,[status(thm)],[c_7467,c_56]) ).
tcf(c_8155,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sz10,sz10),X0) = sdtasdt0(X0,sK21(sz10,sz10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7604,c_60]) ).
tcf(c_8156,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sz10,sz10),X0) = sdtpldt0(X0,sK21(sz10,sz10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7604,c_54]) ).
tcf(c_8157,plain,
sdtasdt0(sK21(sz10,sz10),smndt0(sz10)) = smndt0(sK21(sz10,sz10)),
inference(superposition,[status(thm)],[c_7604,c_67]) ).
tcf(c_8158,plain,
sdtasdt0(smndt0(sz10),sK21(sz10,sz10)) = smndt0(sK21(sz10,sz10)),
inference(superposition,[status(thm)],[c_7604,c_66]) ).
tcf(c_8159,plain,
sdtasdt0(sz00,smndt0(sK21(sz10,sz10))) = sz00,
inference(superposition,[status(thm)],[c_7604,c_6856]) ).
tcf(c_8160,plain,
sdtasdt0(smndt0(sK21(sz10,sz10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7604,c_6844]) ).
tcf(c_8161,plain,
sdtpldt0(smndt0(sK21(sz10,sz10)),sK21(sz10,sz10)) = sz00,
inference(superposition,[status(thm)],[c_7604,c_59]) ).
tcf(c_8162,plain,
sdtpldt0(sK21(sz10,sz10),smndt0(sK21(sz10,sz10))) = sz00,
inference(superposition,[status(thm)],[c_7604,c_58]) ).
tcf(c_8163,plain,
sdtasdt0(sz00,sK21(sz10,sz10)) = sz00,
inference(superposition,[status(thm)],[c_7604,c_69]) ).
tcf(c_8164,plain,
sdtasdt0(sK21(sz10,sz10),sz00) = sz00,
inference(superposition,[status(thm)],[c_7604,c_68]) ).
tcf(c_8165,plain,
sdtasdt0(sz10,sK21(sz10,sz10)) = sK21(sz10,sz10),
inference(superposition,[status(thm)],[c_7604,c_63]) ).
tcf(c_8166,plain,
sdtasdt0(sK21(sz10,sz10),sz10) = sK21(sz10,sz10),
inference(superposition,[status(thm)],[c_7604,c_62]) ).
tcf(c_8167,plain,
sdtpldt0(sz00,sK21(sz10,sz10)) = sK21(sz10,sz10),
inference(superposition,[status(thm)],[c_7604,c_57]) ).
tcf(c_8168,plain,
sdtpldt0(sK21(sz10,sz10),sz00) = sK21(sz10,sz10),
inference(superposition,[status(thm)],[c_7604,c_56]) ).
tcf(c_8227,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sz00,sz00),X0) = sdtasdt0(X0,sK21(sz00,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7607,c_60]) ).
tcf(c_8228,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sz00,sz00),X0) = sdtpldt0(X0,sK21(sz00,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7607,c_54]) ).
tcf(c_8229,plain,
sdtasdt0(sK21(sz00,sz00),smndt0(sz10)) = smndt0(sK21(sz00,sz00)),
inference(superposition,[status(thm)],[c_7607,c_67]) ).
tcf(c_8230,plain,
sdtasdt0(smndt0(sz10),sK21(sz00,sz00)) = smndt0(sK21(sz00,sz00)),
inference(superposition,[status(thm)],[c_7607,c_66]) ).
tcf(c_8231,plain,
sdtasdt0(sz00,smndt0(sK21(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_7607,c_6856]) ).
tcf(c_8232,plain,
sdtasdt0(smndt0(sK21(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7607,c_6844]) ).
tcf(c_8233,plain,
sdtpldt0(smndt0(sK21(sz00,sz00)),sK21(sz00,sz00)) = sz00,
inference(superposition,[status(thm)],[c_7607,c_59]) ).
tcf(c_8234,plain,
sdtpldt0(sK21(sz00,sz00),smndt0(sK21(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_7607,c_58]) ).
tcf(c_8235,plain,
sdtasdt0(sz00,sK21(sz00,sz00)) = sz00,
inference(superposition,[status(thm)],[c_7607,c_69]) ).
tcf(c_8236,plain,
sdtasdt0(sK21(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7607,c_68]) ).
tcf(c_8237,plain,
sdtasdt0(sz10,sK21(sz00,sz00)) = sK21(sz00,sz00),
inference(superposition,[status(thm)],[c_7607,c_63]) ).
tcf(c_8238,plain,
sdtasdt0(sK21(sz00,sz00),sz10) = sK21(sz00,sz00),
inference(superposition,[status(thm)],[c_7607,c_62]) ).
tcf(c_8239,plain,
sdtpldt0(sz00,sK21(sz00,sz00)) = sK21(sz00,sz00),
inference(superposition,[status(thm)],[c_7607,c_57]) ).
tcf(c_8240,plain,
sdtpldt0(sK21(sz00,sz00),sz00) = sK21(sz00,sz00),
inference(superposition,[status(thm)],[c_7607,c_56]) ).
tcf(c_8247,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sz10,xb),X0) = sdtasdt0(X0,sK21(sz10,xb)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7620,c_60]) ).
tcf(c_8248,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sz10,xb),X0) = sdtpldt0(X0,sK21(sz10,xb)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7620,c_54]) ).
tcf(c_8249,plain,
sdtasdt0(sK21(sz10,xb),smndt0(sz10)) = smndt0(sK21(sz10,xb)),
inference(superposition,[status(thm)],[c_7620,c_67]) ).
tcf(c_8250,plain,
sdtasdt0(smndt0(sz10),sK21(sz10,xb)) = smndt0(sK21(sz10,xb)),
inference(superposition,[status(thm)],[c_7620,c_66]) ).
tcf(c_8251,plain,
sdtasdt0(sz00,smndt0(sK21(sz10,xb))) = sz00,
inference(superposition,[status(thm)],[c_7620,c_6856]) ).
tcf(c_8252,plain,
sdtasdt0(smndt0(sK21(sz10,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7620,c_6844]) ).
tcf(c_8253,plain,
sdtpldt0(smndt0(sK21(sz10,xb)),sK21(sz10,xb)) = sz00,
inference(superposition,[status(thm)],[c_7620,c_59]) ).
tcf(c_8254,plain,
sdtpldt0(sK21(sz10,xb),smndt0(sK21(sz10,xb))) = sz00,
inference(superposition,[status(thm)],[c_7620,c_58]) ).
tcf(c_8255,plain,
sdtasdt0(sz00,sK21(sz10,xb)) = sz00,
inference(superposition,[status(thm)],[c_7620,c_69]) ).
tcf(c_8256,plain,
sdtasdt0(sK21(sz10,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_7620,c_68]) ).
tcf(c_8257,plain,
sdtasdt0(sz10,sK21(sz10,xb)) = sK21(sz10,xb),
inference(superposition,[status(thm)],[c_7620,c_63]) ).
tcf(c_8258,plain,
sdtasdt0(sK21(sz10,xb),sz10) = sK21(sz10,xb),
inference(superposition,[status(thm)],[c_7620,c_62]) ).
tcf(c_8259,plain,
sdtpldt0(sz00,sK21(sz10,xb)) = sK21(sz10,xb),
inference(superposition,[status(thm)],[c_7620,c_57]) ).
tcf(c_8260,plain,
sdtpldt0(sK21(sz10,xb),sz00) = sK21(sz10,xb),
inference(superposition,[status(thm)],[c_7620,c_56]) ).
tcf(c_8316,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sz10,xa),X0) = sdtasdt0(X0,sK21(sz10,xa)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7989,c_60]) ).
tcf(c_8317,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sz10,xa),X0) = sdtpldt0(X0,sK21(sz10,xa)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7989,c_54]) ).
tcf(c_8318,plain,
sdtasdt0(sK21(sz10,xa),smndt0(sz10)) = smndt0(sK21(sz10,xa)),
inference(superposition,[status(thm)],[c_7989,c_67]) ).
tcf(c_8319,plain,
sdtasdt0(smndt0(sz10),sK21(sz10,xa)) = smndt0(sK21(sz10,xa)),
inference(superposition,[status(thm)],[c_7989,c_66]) ).
tcf(c_8320,plain,
sdtasdt0(sz00,smndt0(sK21(sz10,xa))) = sz00,
inference(superposition,[status(thm)],[c_7989,c_6856]) ).
tcf(c_8321,plain,
sdtasdt0(smndt0(sK21(sz10,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7989,c_6844]) ).
tcf(c_8322,plain,
sdtpldt0(smndt0(sK21(sz10,xa)),sK21(sz10,xa)) = sz00,
inference(superposition,[status(thm)],[c_7989,c_59]) ).
tcf(c_8323,plain,
sdtpldt0(sK21(sz10,xa),smndt0(sK21(sz10,xa))) = sz00,
inference(superposition,[status(thm)],[c_7989,c_58]) ).
tcf(c_8324,plain,
sdtasdt0(sz00,sK21(sz10,xa)) = sz00,
inference(superposition,[status(thm)],[c_7989,c_69]) ).
tcf(c_8325,plain,
sdtasdt0(sK21(sz10,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_7989,c_68]) ).
tcf(c_8326,plain,
sdtasdt0(sz10,sK21(sz10,xa)) = sK21(sz10,xa),
inference(superposition,[status(thm)],[c_7989,c_63]) ).
tcf(c_8327,plain,
sdtasdt0(sK21(sz10,xa),sz10) = sK21(sz10,xa),
inference(superposition,[status(thm)],[c_7989,c_62]) ).
tcf(c_8328,plain,
sdtpldt0(sz00,sK21(sz10,xa)) = sK21(sz10,xa),
inference(superposition,[status(thm)],[c_7989,c_57]) ).
tcf(c_8329,plain,
sdtpldt0(sK21(sz10,xa),sz00) = sK21(sz10,xa),
inference(superposition,[status(thm)],[c_7989,c_56]) ).
tcf(c_8358,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sz10,sz00),X0) = sdtasdt0(X0,sK21(sz10,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7992,c_60]) ).
tcf(c_8359,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sz10,sz00),X0) = sdtpldt0(X0,sK21(sz10,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7992,c_54]) ).
tcf(c_8360,plain,
sdtasdt0(sK21(sz10,sz00),smndt0(sz10)) = smndt0(sK21(sz10,sz00)),
inference(superposition,[status(thm)],[c_7992,c_67]) ).
tcf(c_8361,plain,
sdtasdt0(smndt0(sz10),sK21(sz10,sz00)) = smndt0(sK21(sz10,sz00)),
inference(superposition,[status(thm)],[c_7992,c_66]) ).
tcf(c_8362,plain,
sdtasdt0(sz00,smndt0(sK21(sz10,sz00))) = sz00,
inference(superposition,[status(thm)],[c_7992,c_6856]) ).
tcf(c_8363,plain,
sdtasdt0(smndt0(sK21(sz10,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7992,c_6844]) ).
tcf(c_8364,plain,
sdtpldt0(smndt0(sK21(sz10,sz00)),sK21(sz10,sz00)) = sz00,
inference(superposition,[status(thm)],[c_7992,c_59]) ).
tcf(c_8365,plain,
sdtpldt0(sK21(sz10,sz00),smndt0(sK21(sz10,sz00))) = sz00,
inference(superposition,[status(thm)],[c_7992,c_58]) ).
tcf(c_8366,plain,
sdtasdt0(sz00,sK21(sz10,sz00)) = sz00,
inference(superposition,[status(thm)],[c_7992,c_69]) ).
tcf(c_8367,plain,
sdtasdt0(sK21(sz10,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_7992,c_68]) ).
tcf(c_8368,plain,
sdtasdt0(sz10,sK21(sz10,sz00)) = sK21(sz10,sz00),
inference(superposition,[status(thm)],[c_7992,c_63]) ).
tcf(c_8369,plain,
sdtasdt0(sK21(sz10,sz00),sz10) = sK21(sz10,sz00),
inference(superposition,[status(thm)],[c_7992,c_62]) ).
tcf(c_8370,plain,
sdtpldt0(sz00,sK21(sz10,sz00)) = sK21(sz10,sz00),
inference(superposition,[status(thm)],[c_7992,c_57]) ).
tcf(c_8371,plain,
sdtpldt0(sK21(sz10,sz00),sz00) = sK21(sz10,sz00),
inference(superposition,[status(thm)],[c_7992,c_56]) ).
tcf(c_8412,plain,
( aElement0(smndt0(xa))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_7359]) ).
tcf(c_8413,plain,
aElement0(smndt0(xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_8412,c_50]) ).
tcf(c_8425,plain,
( aElementOf0(smndt0(xb),slsdtgt0(xb))
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7259,c_135]) ).
tcf(c_8426,plain,
( doDivides0(xb,smndt0(xb))
| ~ aElement0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7259,c_227]) ).
tcf(c_8429,plain,
( doDivides0(xb,smndt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8426,c_140]) ).
tcf(c_8432,plain,
( aElementOf0(smndt0(xb),slsdtgt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8425,c_140]) ).
tcf(c_8475,plain,
( aDivisorOf0(xc,xa)
| ~ aElement0(xb)
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_142,c_126]) ).
tcf(c_8476,plain,
aDivisorOf0(xc,xa),
inference(forward_subsumption_resolution,[status(thm)],[c_8475,c_140,c_139]) ).
tcf(c_8485,plain,
( aDivisorOf0(xc,xb)
| ~ aElement0(xb)
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_142,c_127]) ).
tcf(c_8486,plain,
aDivisorOf0(xc,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_8485,c_140,c_139]) ).
tcf(c_8499,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xa),X0) = sdtasdt0(X0,smndt0(xa)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8413,c_60]) ).
tcf(c_8500,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xa),X0) = sdtpldt0(X0,smndt0(xa)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8413,c_54]) ).
tcf(c_8501,plain,
sdtasdt0(smndt0(xa),smndt0(sz10)) = smndt0(smndt0(xa)),
inference(superposition,[status(thm)],[c_8413,c_67]) ).
tcf(c_8502,plain,
sdtasdt0(smndt0(sz10),smndt0(xa)) = smndt0(smndt0(xa)),
inference(superposition,[status(thm)],[c_8413,c_66]) ).
tcf(c_8503,plain,
sdtasdt0(sz00,smndt0(smndt0(xa))) = sz00,
inference(superposition,[status(thm)],[c_8413,c_6856]) ).
tcf(c_8504,plain,
sdtasdt0(smndt0(smndt0(xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8413,c_6844]) ).
tcf(c_8505,plain,
sdtpldt0(smndt0(smndt0(xa)),smndt0(xa)) = sz00,
inference(superposition,[status(thm)],[c_8413,c_59]) ).
tcf(c_8506,plain,
sdtpldt0(smndt0(xa),smndt0(smndt0(xa))) = sz00,
inference(superposition,[status(thm)],[c_8413,c_58]) ).
tcf(c_8509,plain,
sdtasdt0(sz10,smndt0(xa)) = smndt0(xa),
inference(superposition,[status(thm)],[c_8413,c_63]) ).
tcf(c_8510,plain,
sdtasdt0(smndt0(xa),sz10) = smndt0(xa),
inference(superposition,[status(thm)],[c_8413,c_62]) ).
tcf(c_8511,plain,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(superposition,[status(thm)],[c_8413,c_57]) ).
tcf(c_8512,plain,
sdtpldt0(smndt0(xa),sz00) = smndt0(xa),
inference(superposition,[status(thm)],[c_8413,c_56]) ).
tcf(c_8519,plain,
( doDivides0(xc,xa)
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_8476,c_122]) ).
tcf(c_8520,plain,
( aElement0(xc)
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_8476,c_121]) ).
tcf(c_8521,plain,
aElement0(xc),
inference(forward_subsumption_resolution,[status(thm)],[c_8520,c_139]) ).
tcf(c_8522,plain,
doDivides0(xc,xa),
inference(forward_subsumption_resolution,[status(thm)],[c_8519,c_139]) ).
tcf(c_8523,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xc) = sdtasdt0(xc,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8521,c_60]) ).
tcf(c_8524,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xc) = sdtpldt0(xc,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8521,c_54]) ).
tcf(c_8525,plain,
sdtasdt0(xc,smndt0(sz10)) = smndt0(xc),
inference(superposition,[status(thm)],[c_8521,c_67]) ).
tcf(c_8526,plain,
sdtasdt0(smndt0(sz10),xc) = smndt0(xc),
inference(superposition,[status(thm)],[c_8521,c_66]) ).
tcf(c_8527,plain,
sdtasdt0(sz00,smndt0(xc)) = sz00,
inference(superposition,[status(thm)],[c_8521,c_6856]) ).
tcf(c_8528,plain,
sdtasdt0(smndt0(xc),sz00) = sz00,
inference(superposition,[status(thm)],[c_8521,c_6844]) ).
tcf(c_8529,plain,
sdtpldt0(smndt0(xc),xc) = sz00,
inference(superposition,[status(thm)],[c_8521,c_59]) ).
tcf(c_8530,plain,
sdtpldt0(xc,smndt0(xc)) = sz00,
inference(superposition,[status(thm)],[c_8521,c_58]) ).
tcf(c_8531,plain,
sdtasdt0(sz00,xc) = sz00,
inference(superposition,[status(thm)],[c_8521,c_69]) ).
tcf(c_8532,plain,
sdtasdt0(xc,sz00) = sz00,
inference(superposition,[status(thm)],[c_8521,c_68]) ).
tcf(c_8533,plain,
sdtasdt0(sz10,xc) = xc,
inference(superposition,[status(thm)],[c_8521,c_63]) ).
tcf(c_8534,plain,
sdtasdt0(xc,sz10) = xc,
inference(superposition,[status(thm)],[c_8521,c_62]) ).
tcf(c_8535,plain,
sdtpldt0(sz00,xc) = xc,
inference(superposition,[status(thm)],[c_8521,c_57]) ).
tcf(c_8536,plain,
sdtpldt0(xc,sz00) = xc,
inference(superposition,[status(thm)],[c_8521,c_56]) ).
tcf(c_8591,plain,
( doDivides0(xc,xb)
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_8486,c_122]) ).
tcf(c_8593,plain,
doDivides0(xc,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_8591,c_140]) ).
tcf(c_8600,plain,
( aElementOf0(sz00,slsdtgt0(xc))
| ~ aElement0(xc)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_8532,c_135]) ).
tcf(c_8601,plain,
( doDivides0(xc,sz00)
| ~ aElement0(xc)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_8532,c_227]) ).
tcf(c_8604,plain,
doDivides0(xc,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_8601,c_8521,c_49]) ).
tcf(c_8605,plain,
aElementOf0(sz00,slsdtgt0(xc)),
inference(forward_subsumption_resolution,[status(thm)],[c_8600,c_8521,c_49]) ).
tcf(c_8632,plain,
( aDivisorOf0(xc,sz00)
| ~ aElement0(xc)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_8604,c_120]) ).
tcf(c_8633,plain,
aDivisorOf0(xc,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_8632,c_8521,c_49]) ).
tcf(c_8637,plain,
( aElement0(sK21(xc,sz00))
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_8605,c_136]) ).
tcf(c_8638,plain,
aElement0(sK21(xc,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_8637,c_8521]) ).
tcf(c_8639,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(xc,sz00),X0) = sdtasdt0(X0,sK21(xc,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8638,c_60]) ).
tcf(c_8640,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(xc,sz00),X0) = sdtpldt0(X0,sK21(xc,sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8638,c_54]) ).
tcf(c_8641,plain,
sdtasdt0(sK21(xc,sz00),smndt0(sz10)) = smndt0(sK21(xc,sz00)),
inference(superposition,[status(thm)],[c_8638,c_67]) ).
tcf(c_8642,plain,
sdtasdt0(smndt0(sz10),sK21(xc,sz00)) = smndt0(sK21(xc,sz00)),
inference(superposition,[status(thm)],[c_8638,c_66]) ).
tcf(c_8643,plain,
sdtasdt0(sz00,smndt0(sK21(xc,sz00))) = sz00,
inference(superposition,[status(thm)],[c_8638,c_6856]) ).
tcf(c_8644,plain,
sdtasdt0(smndt0(sK21(xc,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8638,c_6844]) ).
tcf(c_8645,plain,
sdtpldt0(smndt0(sK21(xc,sz00)),sK21(xc,sz00)) = sz00,
inference(superposition,[status(thm)],[c_8638,c_59]) ).
tcf(c_8646,plain,
sdtpldt0(sK21(xc,sz00),smndt0(sK21(xc,sz00))) = sz00,
inference(superposition,[status(thm)],[c_8638,c_58]) ).
tcf(c_8647,plain,
sdtasdt0(sz00,sK21(xc,sz00)) = sz00,
inference(superposition,[status(thm)],[c_8638,c_69]) ).
tcf(c_8648,plain,
sdtasdt0(sK21(xc,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_8638,c_68]) ).
tcf(c_8649,plain,
sdtasdt0(sz10,sK21(xc,sz00)) = sK21(xc,sz00),
inference(superposition,[status(thm)],[c_8638,c_63]) ).
tcf(c_8650,plain,
sdtasdt0(sK21(xc,sz00),sz10) = sK21(xc,sz00),
inference(superposition,[status(thm)],[c_8638,c_62]) ).
tcf(c_8651,plain,
sdtpldt0(sz00,sK21(xc,sz00)) = sK21(xc,sz00),
inference(superposition,[status(thm)],[c_8638,c_57]) ).
tcf(c_8652,plain,
sdtpldt0(sK21(xc,sz00),sz00) = sK21(xc,sz00),
inference(superposition,[status(thm)],[c_8638,c_56]) ).
tcf(c_8670,plain,
( aElementOf0(smndt0(sK21(xb,xb)),slsdtgt0(sK21(xb,xb)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_7995,c_135]) ).
tcf(c_8671,plain,
( doDivides0(sK21(xb,xb),smndt0(sK21(xb,xb)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_7995,c_227]) ).
tcf(c_8672,plain,
( ( smndt0(sz10) = sz00 )
| ( sK21(xb,xb) = sz00 )
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,xb))
| ( smndt0(sK21(xb,xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7995,c_70]) ).
tcf(c_8673,plain,
( aElement0(smndt0(sK21(xb,xb)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_7995,c_53]) ).
tcf(c_8674,plain,
( aElement0(smndt0(sK21(xb,xb)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8673,c_7464]) ).
tcf(c_8677,plain,
( doDivides0(sK21(xb,xb),smndt0(sK21(xb,xb)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8671,c_7464]) ).
tcf(c_8680,plain,
( aElementOf0(smndt0(sK21(xb,xb)),slsdtgt0(sK21(xb,xb)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8670,c_7464]) ).
tcf(c_8683,plain,
( ( smndt0(sz10) = sz00 )
| ( sK21(xb,xb) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(sK21(xb,xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8672,c_7464]) ).
tcf(c_8696,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtasasdt0(X0,X1))
| aElement0(sK12(sdtasasdt0(X0,X1)))
| aElementOf0(sK11(sdtasasdt0(X0,X1)),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_99,c_94]) ).
tcf(c_8697,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtasasdt0(X0,X1))
| aElementOf0(sK10(sdtasasdt0(X0,X1)),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_94]) ).
tcf(c_8730,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtasasdt0(X0,X1))
| aElement0(sK12(sdtasasdt0(X0,X1)))
| aElementOf0(sK11(sdtasasdt0(X0,X1)),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_99,c_95]) ).
tcf(c_8731,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtasasdt0(X0,X1))
| aElementOf0(sK10(sdtasasdt0(X0,X1)),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_95]) ).
tcf(c_8753,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(superposition,[status(thm)],[c_6818,c_103]) ).
tcf(c_8754,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(superposition,[status(thm)],[c_7154,c_103]) ).
tcf(c_8757,plain,
! [X0: $i] :
( aElementOf0(xa,X0)
| ~ aElement0(xa)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(superposition,[status(thm)],[c_6821,c_103]) ).
tcf(c_8758,plain,
! [X0: $i] :
( aElementOf0(xb,X0)
| ~ aElement0(xb)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(superposition,[status(thm)],[c_6822,c_103]) ).
tcf(c_8763,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(xa,X0) ),
inference(superposition,[status(thm)],[c_6857,c_103]) ).
tcf(c_8764,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(xb,X0) ),
inference(superposition,[status(thm)],[c_6858,c_103]) ).
tcf(c_8767,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(xa),X0) ),
inference(superposition,[status(thm)],[c_7158,c_103]) ).
tcf(c_8768,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(xb),X0) ),
inference(superposition,[status(thm)],[c_7159,c_103]) ).
tcf(c_8769,plain,
! [X0: $i] :
( aElementOf0(smndt0(sz10),X0)
| ~ aIdeal0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sz10,X0) ),
inference(superposition,[status(thm)],[c_7222,c_103]) ).
tcf(c_8770,plain,
! [X0: $i] :
( aElementOf0(smndt0(xa),X0)
| ~ aIdeal0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(xa,X0) ),
inference(superposition,[status(thm)],[c_7226,c_103]) ).
tcf(c_8771,plain,
! [X0: $i] :
( aElementOf0(smndt0(xb),X0)
| ~ aIdeal0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(xb,X0) ),
inference(superposition,[status(thm)],[c_7227,c_103]) ).
tcf(c_8772,plain,
! [X0: $i] :
( aElementOf0(smndt0(xa),X0)
| ~ aElement0(xa)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(superposition,[status(thm)],[c_7258,c_103]) ).
tcf(c_8773,plain,
! [X0: $i] :
( aElementOf0(smndt0(xb),X0)
| ~ aElement0(xb)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(superposition,[status(thm)],[c_7259,c_103]) ).
tcf(c_8774,plain,
! [X0: $i] :
( aElementOf0(smndt0(sK21(xb,xb)),X0)
| ~ aIdeal0(X0)
| ~ aElement0(sK21(xb,xb))
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(superposition,[status(thm)],[c_7995,c_103]) ).
tcf(c_8775,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(xc,X0) ),
inference(superposition,[status(thm)],[c_8531,c_103]) ).
tcf(c_8777,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sdtasdt0(X2,X0))
| ~ aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_103,c_72]) ).
tcf(c_8778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtasdt0(X3,X0),X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X3)
| ~ aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(X0,sdtasasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_103,c_95]) ).
tcf(c_8779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtasdt0(X3,X0),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X3)
| ~ aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(X0,sdtasasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_103,c_94]) ).
tcf(c_8780,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK21(X1,sdtasdt0(X2,X0)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aIdeal0(slsdtgt0(X1))
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_103,c_136]) ).
tcf(c_8781,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X1,X0) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_5224]) ).
tcf(c_8782,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(xc,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8775,c_49]) ).
tcf(c_8786,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(xb,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8764,c_49]) ).
tcf(c_8790,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(xa,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8763,c_49]) ).
tcf(c_8794,plain,
! [X0: $i] :
( aElementOf0(xb,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8758,c_140]) ).
tcf(c_8798,plain,
! [X0: $i] :
( aElementOf0(xa,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8757,c_139]) ).
tcf(c_8802,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8753,c_49]) ).
tcf(c_8806,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(xb),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8768,c_49]) ).
tcf(c_8810,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(xa),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8767,c_49]) ).
tcf(c_8814,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8754,c_49]) ).
tcf(c_8818,plain,
! [X0: $i] :
( aElementOf0(smndt0(xb),X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8773,c_140]) ).
tcf(c_8822,plain,
! [X0: $i] :
( aElementOf0(smndt0(xa),X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8772,c_139]) ).
tcf(c_8838,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X1,X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8781,c_143]) ).
tcf(c_8847,plain,
! [X0: $i] :
( aElementOf0(smndt0(sK21(xb,xb)),X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8774,c_7464]) ).
tcf(c_9009,plain,
( aElementOf0(xc,slsdtgt0(sz10))
| ~ aElement0(xc)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8533,c_135]) ).
tcf(c_9010,plain,
( doDivides0(sz10,xc)
| ~ aElement0(xc)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8533,c_227]) ).
tcf(c_9014,plain,
doDivides0(sz10,xc),
inference(forward_subsumption_resolution,[status(thm)],[c_9010,c_8521,c_50]) ).
tcf(c_9015,plain,
aElementOf0(xc,slsdtgt0(sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_9009,c_8521,c_50]) ).
tcf(c_9016,plain,
( aDivisorOf0(sz10,xc)
| ~ aElement0(xc)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_9014,c_120]) ).
tcf(c_9017,plain,
aDivisorOf0(sz10,xc),
inference(forward_subsumption_resolution,[status(thm)],[c_9016,c_8521,c_50]) ).
tcf(c_9021,plain,
( aElement0(sK21(sz10,xc))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_9015,c_136]) ).
tcf(c_9022,plain,
aElement0(sK21(sz10,xc)),
inference(forward_subsumption_resolution,[status(thm)],[c_9021,c_50]) ).
tcf(c_9031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sdtasdt0(X1,X0)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_8838]) ).
tcf(c_9032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sdtasdt0(X1,X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9031,c_143]) ).
tcf(c_9048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9032]) ).
tcf(c_9049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9048,c_143]) ).
tcf(c_9068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0)))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9049]) ).
tcf(c_9069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0)))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9068,c_143]) ).
tcf(c_9091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9069]) ).
tcf(c_9092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9091,c_143]) ).
tcf(c_9117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0)))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9092]) ).
tcf(c_9118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0)))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9117,c_143]) ).
tcf(c_9146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0))))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9118]) ).
tcf(c_9147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9146,c_143]) ).
tcf(c_9178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0)))))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9147]) ).
tcf(c_9179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0)))))))) = sz00 )
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9178,c_143]) ).
tcf(c_9213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( sdtasdt0(X9,sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0))))))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X9)
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9179]) ).
tcf(c_9214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( sdtasdt0(X9,sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,X0))))))))) = sz00 )
| ~ aElement0(X9)
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9213,c_143]) ).
tcf(c_9227,plain,
( aElementOf0(smndt0(sK21(xb,xb)),slsdtgt0(smndt0(sz10)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_7996,c_135]) ).
tcf(c_9228,plain,
( doDivides0(smndt0(sz10),smndt0(sK21(xb,xb)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_7996,c_227]) ).
tcf(c_9231,plain,
! [X0: $i] :
( aElementOf0(smndt0(sK21(xb,xb)),X0)
| ~ aIdeal0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK21(xb,xb),X0) ),
inference(superposition,[status(thm)],[c_7996,c_103]) ).
tcf(c_9232,plain,
( doDivides0(smndt0(sz10),smndt0(sK21(xb,xb)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9228,c_7464]) ).
tcf(c_9235,plain,
( aElementOf0(smndt0(sK21(xb,xb)),slsdtgt0(smndt0(sz10)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9227,c_7464]) ).
tcf(c_9264,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sdtpldt0(X0,X2))
| ~ aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_102,c_72]) ).
tcf(c_9265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X3),X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(X3,sdtasasdt0(X1,X2))
| ~ aElementOf0(X0,sdtasasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_102,c_95]) ).
tcf(c_9266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X3),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(X3,sdtasasdt0(X1,X2))
| ~ aElementOf0(X0,sdtasasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_102,c_94]) ).
tcf(c_9268,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK21(X1,sdtpldt0(X0,X2)))
| ~ aElement0(X1)
| ~ aIdeal0(slsdtgt0(X1))
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_102,c_136]) ).
tcf(c_9269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( sdtasdt0(X9,sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1))))))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X9)
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9179]) ).
tcf(c_9270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1)))))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9147]) ).
tcf(c_9271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1))))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9118]) ).
tcf(c_9272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1)))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9092]) ).
tcf(c_9273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1))))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9069]) ).
tcf(c_9274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1)))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9049]) ).
tcf(c_9275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9032]) ).
tcf(c_9276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sdtpldt0(X0,X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_8838]) ).
tcf(c_9277,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_5224]) ).
tcf(c_9278,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9277,c_143]) ).
tcf(c_9287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sdtpldt0(X0,X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9276,c_143]) ).
tcf(c_9297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9275,c_143]) ).
tcf(c_9315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1)))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9274,c_143]) ).
tcf(c_9322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9273,c_143]) ).
tcf(c_9330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1)))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9272,c_143]) ).
tcf(c_9339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9271,c_143]) ).
tcf(c_9349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1)))))))) = sz00 )
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9270,c_143]) ).
tcf(c_9360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( sdtasdt0(X9,sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(X0,X1))))))))) = sz00 )
| ~ aElement0(X9)
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9269,c_143]) ).
tcf(c_9465,plain,
! [X0: $i] :
( aIdeal0(slsdtgt0(X0))
| aElement0(sK12(slsdtgt0(X0)))
| ( sdtasdt0(X0,sK21(X0,sK11(slsdtgt0(X0)))) = sK11(slsdtgt0(X0)) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_99,c_137]) ).
tcf(c_9466,plain,
! [X0: $i] :
( aIdeal0(slsdtgt0(X0))
| ( sdtasdt0(X0,sK21(X0,sK10(slsdtgt0(X0)))) = sK10(slsdtgt0(X0)) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_100,c_137]) ).
tcf(c_9467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X1,sK21(X1,sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aElement0(X1)
| ~ aIdeal0(slsdtgt0(X1))
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_102,c_137]) ).
tcf(c_9468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X1,sK21(X1,sdtasdt0(X2,X0))) = sdtasdt0(X2,X0) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aIdeal0(slsdtgt0(X1))
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_103,c_137]) ).
tcf(c_9469,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK21(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_135,c_137]) ).
tcf(c_9470,plain,
( ( sdtasdt0(xa,sK21(xa,sz00)) = sz00 )
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_145,c_137]) ).
tcf(c_9471,plain,
( ( sdtasdt0(xa,sK21(xa,xa)) = xa )
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_146,c_137]) ).
tcf(c_9472,plain,
( ( sdtasdt0(xb,sK21(xb,sz00)) = sz00 )
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_147,c_137]) ).
tcf(c_9473,plain,
( ( sdtasdt0(xb,sK21(xb,xb)) = xb )
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_148,c_137]) ).
tcf(c_9475,plain,
( ( sdtasdt0(sz10,sK21(sz10,sz00)) = sz00 )
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7422,c_137]) ).
tcf(c_9476,plain,
( ( sdtasdt0(sz10,sK21(sz10,sz10)) = sz10 )
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7418,c_137]) ).
tcf(c_9477,plain,
( ( sdtasdt0(sz10,sK21(sz10,xa)) = xa )
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7421,c_137]) ).
tcf(c_9478,plain,
( ( sdtasdt0(sz10,sK21(sz10,xb)) = xb )
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7420,c_137]) ).
tcf(c_9479,plain,
( ( sdtasdt0(xc,sK21(xc,sz00)) = sz00 )
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_8605,c_137]) ).
tcf(c_9480,plain,
( ( sdtasdt0(sz10,sK21(sz10,xc)) = xc )
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_9015,c_137]) ).
tcf(c_9481,plain,
sdtasdt0(sz10,sK21(sz10,xc)) = xc,
inference(forward_subsumption_resolution,[status(thm)],[c_9480,c_50]) ).
tcf(c_9482,plain,
sdtasdt0(xc,sK21(xc,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9479,c_8521]) ).
tcf(c_9483,plain,
( ( sK21(sz10,xb) = xb )
| ~ aElement0(sz10) ),
inference(light_normalisation,[status(thm)],[c_9478,c_8257]) ).
tcf(c_9484,plain,
sK21(sz10,xb) = xb,
inference(forward_subsumption_resolution,[status(thm)],[c_9483,c_50]) ).
tcf(c_9485,plain,
( ( sK21(sz10,xa) = xa )
| ~ aElement0(sz10) ),
inference(light_normalisation,[status(thm)],[c_9477,c_8326]) ).
tcf(c_9486,plain,
sK21(sz10,xa) = xa,
inference(forward_subsumption_resolution,[status(thm)],[c_9485,c_50]) ).
tcf(c_9487,plain,
( ( sK21(sz10,sz10) = sz10 )
| ~ aElement0(sz10) ),
inference(light_normalisation,[status(thm)],[c_9476,c_8165]) ).
tcf(c_9488,plain,
sK21(sz10,sz10) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_9487,c_50]) ).
tcf(c_9489,plain,
( ( sK21(sz10,sz00) = sz00 )
| ~ aElement0(sz10) ),
inference(light_normalisation,[status(thm)],[c_9475,c_8368]) ).
tcf(c_9490,plain,
sK21(sz10,sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9489,c_50]) ).
tcf(c_9491,plain,
sdtasdt0(xb,sK21(xb,xb)) = xb,
inference(forward_subsumption_resolution,[status(thm)],[c_9473,c_140]) ).
tcf(c_9492,plain,
sdtasdt0(xb,sK21(xb,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9472,c_140]) ).
tcf(c_9493,plain,
sdtasdt0(xa,sK21(xa,xa)) = xa,
inference(forward_subsumption_resolution,[status(thm)],[c_9471,c_139]) ).
tcf(c_9494,plain,
sdtasdt0(xa,sK21(xa,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9470,c_139]) ).
tcf(c_9596,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sz10,xc),X0) = sdtasdt0(X0,sK21(sz10,xc)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9022,c_60]) ).
tcf(c_9597,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sz10,xc),X0) = sdtpldt0(X0,sK21(sz10,xc)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9022,c_54]) ).
tcf(c_9598,plain,
sdtasdt0(sK21(sz10,xc),smndt0(sz10)) = smndt0(sK21(sz10,xc)),
inference(superposition,[status(thm)],[c_9022,c_67]) ).
tcf(c_9599,plain,
sdtasdt0(smndt0(sz10),sK21(sz10,xc)) = smndt0(sK21(sz10,xc)),
inference(superposition,[status(thm)],[c_9022,c_66]) ).
tcf(c_9600,plain,
sdtasdt0(sz00,smndt0(sK21(sz10,xc))) = sz00,
inference(superposition,[status(thm)],[c_9022,c_6856]) ).
tcf(c_9601,plain,
sdtasdt0(smndt0(sK21(sz10,xc)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9022,c_6844]) ).
tcf(c_9602,plain,
sdtpldt0(smndt0(sK21(sz10,xc)),sK21(sz10,xc)) = sz00,
inference(superposition,[status(thm)],[c_9022,c_59]) ).
tcf(c_9603,plain,
sdtpldt0(sK21(sz10,xc),smndt0(sK21(sz10,xc))) = sz00,
inference(superposition,[status(thm)],[c_9022,c_58]) ).
tcf(c_9604,plain,
sdtasdt0(sz00,sK21(sz10,xc)) = sz00,
inference(superposition,[status(thm)],[c_9022,c_69]) ).
tcf(c_9605,plain,
sdtasdt0(sK21(sz10,xc),sz00) = sz00,
inference(superposition,[status(thm)],[c_9022,c_68]) ).
tcf(c_9606,plain,
sdtasdt0(sz10,sK21(sz10,xc)) = sK21(sz10,xc),
inference(superposition,[status(thm)],[c_9022,c_63]) ).
tcf(c_9607,plain,
sdtasdt0(sK21(sz10,xc),sz10) = sK21(sz10,xc),
inference(superposition,[status(thm)],[c_9022,c_62]) ).
tcf(c_9608,plain,
sdtpldt0(sz00,sK21(sz10,xc)) = sK21(sz10,xc),
inference(superposition,[status(thm)],[c_9022,c_57]) ).
tcf(c_9609,plain,
sdtpldt0(sK21(sz10,xc),sz00) = sK21(sz10,xc),
inference(superposition,[status(thm)],[c_9022,c_56]) ).
tcf(c_9610,plain,
sK21(sz10,xc) = xc,
inference(light_normalisation,[status(thm)],[c_9606,c_9481]) ).
tcf(c_9638,plain,
( aElementOf0(xc,slsdtgt0(xc))
| ~ aElement0(xc)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8534,c_135]) ).
tcf(c_9639,plain,
( doDivides0(xc,xc)
| ~ aElement0(xc)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8534,c_227]) ).
tcf(c_9642,plain,
! [X0: $i] :
( aElementOf0(xc,X0)
| ~ aElement0(xc)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(superposition,[status(thm)],[c_8534,c_103]) ).
tcf(c_9643,plain,
doDivides0(xc,xc),
inference(forward_subsumption_resolution,[status(thm)],[c_9639,c_8521,c_50]) ).
tcf(c_9644,plain,
aElementOf0(xc,slsdtgt0(xc)),
inference(forward_subsumption_resolution,[status(thm)],[c_9638,c_8521,c_50]) ).
tcf(c_9645,plain,
! [X0: $i] :
( aElementOf0(xc,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9642,c_8521]) ).
tcf(c_9650,plain,
( aDivisorOf0(xc,xc)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_9643,c_120]) ).
tcf(c_9651,plain,
aDivisorOf0(xc,xc),
inference(forward_subsumption_resolution,[status(thm)],[c_9650,c_8521]) ).
tcf(c_9662,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9278]) ).
tcf(c_9663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X0),X1) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9278]) ).
tcf(c_9664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X0),X1) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9663,c_143]) ).
tcf(c_9669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9662,c_143]) ).
tcf(c_9686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X3,sdtpldt0(sdtpldt0(X0,X1),X2)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9287]) ).
tcf(c_9687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,X0),X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9287]) ).
tcf(c_9688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,X0),X1)) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9687,c_143]) ).
tcf(c_9694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X3,sdtpldt0(sdtpldt0(X0,X1),X2)) = sz00 )
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9686,c_143]) ).
tcf(c_9730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),X2) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9664]) ).
tcf(c_9731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,X0)),X1) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9664]) ).
tcf(c_9732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,X0)),X1) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9731,c_143]) ).
tcf(c_9738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),X2) = sz00 )
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9730,c_143]) ).
tcf(c_9756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9669]) ).
tcf(c_9757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X3,X0),X1),X2) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9669]) ).
tcf(c_9758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X3,X0),X1),X2) = sz00 )
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9757,c_143]) ).
tcf(c_9764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sz00 )
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9756,c_143]) ).
tcf(c_9784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtasdt0(X3,sdtpldt0(sdtpldt0(X0,X1),X2))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9297]) ).
tcf(c_9785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,X0),X1))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9297]) ).
tcf(c_9786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,X0),X1))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9785,c_143]) ).
tcf(c_9793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtasdt0(X3,sdtpldt0(sdtpldt0(X0,X1),X2))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9784,c_143]) ).
tcf(c_9837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),X2)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9688]) ).
tcf(c_9838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,X0)),X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9688]) ).
tcf(c_9839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,X0)),X1)) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9838,c_143]) ).
tcf(c_9846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),X2)) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9837,c_143]) ).
tcf(c_9867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,sdtasdt0(X3,sdtpldt0(X0,X1))),X2) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9732]) ).
tcf(c_9868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,X0))),X1) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9732]) ).
tcf(c_9869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,X0))),X1) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9868,c_143]) ).
tcf(c_9876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtasdt0(X4,sdtasdt0(X3,sdtpldt0(X0,X1))),X2) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9867,c_143]) ).
tcf(c_9897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_9694]) ).
tcf(c_9898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtpldt0(sdtpldt0(sdtasdt0(X3,X0),X1),X2)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_9694]) ).
tcf(c_9899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtpldt0(sdtpldt0(sdtasdt0(X3,X0),X1),X2)) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9898,c_143]) ).
tcf(c_9906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasdt0(X4,sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3)) = sz00 )
| ~ aElement0(X4)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9897,c_143]) ).
tcf(c_9919,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sK21(xb,xb)),X0) ),
inference(superposition,[status(thm)],[c_7997,c_103]) ).
tcf(c_9920,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sK21(xb,xb)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9919,c_49]) ).
tcf(c_9933,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK17(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_227,c_119]) ).
tcf(c_9934,plain,
( ( sdtasdt0(sz00,sK17(sz00,sz00)) = sz00 )
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7302,c_119]) ).
tcf(c_9935,plain,
( ( sdtasdt0(sz10,sK17(sz10,sz00)) = sz00 )
| ~ aElement0(sz10)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7309,c_119]) ).
tcf(c_9936,plain,
( ( sdtasdt0(sz10,sK17(sz10,sz10)) = sz10 )
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7301,c_119]) ).
tcf(c_9937,plain,
( ( sdtasdt0(xa,sK17(xa,xa)) = xa )
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_7308,c_119]) ).
tcf(c_9938,plain,
( ( sdtasdt0(xb,sK17(xb,xb)) = xb )
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_7307,c_119]) ).
tcf(c_9939,plain,
( ( sdtasdt0(sz10,sK17(sz10,xa)) = xa )
| ~ aElement0(xa)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7306,c_119]) ).
tcf(c_9940,plain,
( ( sdtasdt0(sz10,sK17(sz10,xb)) = xb )
| ~ aElement0(xb)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_7305,c_119]) ).
tcf(c_9941,plain,
( ( sdtasdt0(xa,sK17(xa,sz00)) = sz00 )
| ~ aElement0(xa)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7304,c_119]) ).
tcf(c_9942,plain,
( ( sdtasdt0(xb,sK17(xb,sz00)) = sz00 )
| ~ aElement0(xb)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_7303,c_119]) ).
tcf(c_9943,plain,
( ( sdtasdt0(xc,sK17(xc,xa)) = xa )
| ~ aElement0(xc)
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_8522,c_119]) ).
tcf(c_9944,plain,
( ( sdtasdt0(xc,sK17(xc,xb)) = xb )
| ~ aElement0(xc)
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_8593,c_119]) ).
tcf(c_9945,plain,
( ( sdtasdt0(xc,sK17(xc,sz00)) = sz00 )
| ~ aElement0(xc)
| ~ aElement0(sz00) ),
inference(superposition,[status(thm)],[c_8604,c_119]) ).
tcf(c_9946,plain,
( ( sdtasdt0(sz10,sK17(sz10,xc)) = xc )
| ~ aElement0(xc)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_9014,c_119]) ).
tcf(c_9947,plain,
( ( sdtasdt0(xc,sK17(xc,xc)) = xc )
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_9643,c_119]) ).
tcf(c_9948,plain,
sdtasdt0(xc,sK17(xc,xc)) = xc,
inference(forward_subsumption_resolution,[status(thm)],[c_9947,c_8521]) ).
tcf(c_9949,plain,
sdtasdt0(xb,sK17(xb,xb)) = xb,
inference(forward_subsumption_resolution,[status(thm)],[c_9938,c_140]) ).
tcf(c_9950,plain,
sdtasdt0(xa,sK17(xa,xa)) = xa,
inference(forward_subsumption_resolution,[status(thm)],[c_9937,c_139]) ).
tcf(c_9951,plain,
sdtasdt0(sz10,sK17(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_9936,c_50]) ).
tcf(c_9952,plain,
sdtasdt0(sz00,sK17(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9934,c_49]) ).
tcf(c_9953,plain,
sdtasdt0(sz10,sK17(sz10,xc)) = xc,
inference(forward_subsumption_resolution,[status(thm)],[c_9946,c_8521,c_50]) ).
tcf(c_9954,plain,
sdtasdt0(xc,sK17(xc,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9945,c_8521,c_49]) ).
tcf(c_9955,plain,
sdtasdt0(xc,sK17(xc,xb)) = xb,
inference(forward_subsumption_resolution,[status(thm)],[c_9944,c_8521,c_140]) ).
tcf(c_9956,plain,
sdtasdt0(xc,sK17(xc,xa)) = xa,
inference(forward_subsumption_resolution,[status(thm)],[c_9943,c_8521,c_139]) ).
tcf(c_9957,plain,
sdtasdt0(xb,sK17(xb,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9942,c_140,c_49]) ).
tcf(c_9958,plain,
sdtasdt0(xa,sK17(xa,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9941,c_139,c_49]) ).
tcf(c_9959,plain,
sdtasdt0(sz10,sK17(sz10,xb)) = xb,
inference(forward_subsumption_resolution,[status(thm)],[c_9940,c_140,c_50]) ).
tcf(c_9960,plain,
sdtasdt0(sz10,sK17(sz10,xa)) = xa,
inference(forward_subsumption_resolution,[status(thm)],[c_9939,c_139,c_50]) ).
tcf(c_9961,plain,
sdtasdt0(sz10,sK17(sz10,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9935,c_50,c_49]) ).
tcf(c_11133,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X2,X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_93,c_72]) ).
tcf(c_11136,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtasasdt0(X0,X1))
| aElement0(sK12(sdtasasdt0(X0,X1)))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1))
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),X1)
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),X0) ),
inference(superposition,[status(thm)],[c_93,c_97]) ).
tcf(c_11137,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtasasdt0(X0,X1))
| aElementOf0(sK11(sdtasasdt0(X0,X1)),sdtasasdt0(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1))
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X1)
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),X0) ),
inference(superposition,[status(thm)],[c_93,c_98]) ).
tcf(c_11188,plain,
( ( sdtasdt0(xc,sK21(xc,xc)) = xc )
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_9644,c_137]) ).
tcf(c_11189,plain,
( aElement0(sK21(xc,xc))
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_9644,c_136]) ).
tcf(c_11190,plain,
aElement0(sK21(xc,xc)),
inference(forward_subsumption_resolution,[status(thm)],[c_11189,c_8521]) ).
tcf(c_11191,plain,
sdtasdt0(xc,sK21(xc,xc)) = xc,
inference(forward_subsumption_resolution,[status(thm)],[c_11188,c_8521]) ).
tcf(c_11192,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(xc,xc),X0) = sdtasdt0(X0,sK21(xc,xc)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11190,c_60]) ).
tcf(c_11193,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(xc,xc),X0) = sdtpldt0(X0,sK21(xc,xc)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11190,c_54]) ).
tcf(c_11194,plain,
sdtasdt0(sK21(xc,xc),smndt0(sz10)) = smndt0(sK21(xc,xc)),
inference(superposition,[status(thm)],[c_11190,c_67]) ).
tcf(c_11195,plain,
sdtasdt0(smndt0(sz10),sK21(xc,xc)) = smndt0(sK21(xc,xc)),
inference(superposition,[status(thm)],[c_11190,c_66]) ).
tcf(c_11196,plain,
sdtasdt0(sz00,smndt0(sK21(xc,xc))) = sz00,
inference(superposition,[status(thm)],[c_11190,c_6856]) ).
tcf(c_11197,plain,
sdtasdt0(smndt0(sK21(xc,xc)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11190,c_6844]) ).
tcf(c_11198,plain,
sdtpldt0(smndt0(sK21(xc,xc)),sK21(xc,xc)) = sz00,
inference(superposition,[status(thm)],[c_11190,c_59]) ).
tcf(c_11199,plain,
sdtpldt0(sK21(xc,xc),smndt0(sK21(xc,xc))) = sz00,
inference(superposition,[status(thm)],[c_11190,c_58]) ).
tcf(c_11200,plain,
sdtasdt0(sz00,sK21(xc,xc)) = sz00,
inference(superposition,[status(thm)],[c_11190,c_69]) ).
tcf(c_11201,plain,
sdtasdt0(sK21(xc,xc),sz00) = sz00,
inference(superposition,[status(thm)],[c_11190,c_68]) ).
tcf(c_11202,plain,
sdtasdt0(sz10,sK21(xc,xc)) = sK21(xc,xc),
inference(superposition,[status(thm)],[c_11190,c_63]) ).
tcf(c_11203,plain,
sdtasdt0(sK21(xc,xc),sz10) = sK21(xc,xc),
inference(superposition,[status(thm)],[c_11190,c_62]) ).
tcf(c_11204,plain,
sdtpldt0(sz00,sK21(xc,xc)) = sK21(xc,xc),
inference(superposition,[status(thm)],[c_11190,c_57]) ).
tcf(c_11205,plain,
sdtpldt0(sK21(xc,xc),sz00) = sK21(xc,xc),
inference(superposition,[status(thm)],[c_11190,c_56]) ).
tcf(c_12640,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(sK21(xb,xb))))
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sK21(xb,xb))) ),
inference(superposition,[status(thm)],[c_7998,c_135]) ).
tcf(c_12641,plain,
( doDivides0(smndt0(sK21(xb,xb)),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sK21(xb,xb))) ),
inference(superposition,[status(thm)],[c_7998,c_227]) ).
tcf(c_12645,plain,
( doDivides0(smndt0(sK21(xb,xb)),sz00)
| ~ aElement0(smndt0(sK21(xb,xb))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12641,c_49]) ).
tcf(c_12648,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(sK21(xb,xb))))
| ~ aElement0(smndt0(sK21(xb,xb))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12640,c_49]) ).
tcf(c_12661,plain,
! [X0: $i,X1: $i] :
( aElement0(sK3(X0,X1))
| aElementOf0(sK2(X0,X1),X0)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_72]) ).
tcf(c_12662,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(X2,sdtasasdt0(X0,X1)),X1)
| aElementOf0(sK2(X2,sdtasasdt0(X0,X1)),X2)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_76,c_95]) ).
tcf(c_12663,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(X2,sdtasasdt0(X0,X1)),X0)
| aElementOf0(sK2(X2,sdtasasdt0(X0,X1)),X2)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_76,c_94]) ).
tcf(c_12664,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X1,slsdtgt0(X0)),X1)
| ( slsdtgt0(X0) = X1 )
| ( sdtasdt0(X0,sK21(X0,sK3(X1,slsdtgt0(X0)))) = sK3(X1,slsdtgt0(X0)) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_76,c_137]) ).
tcf(c_12665,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X1,slsdtgt0(X0)),X1)
| aElement0(sK21(X0,sK3(X1,slsdtgt0(X0))))
| ( slsdtgt0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_76,c_136]) ).
tcf(c_12666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK3(X3,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9694]) ).
tcf(c_12667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK3(X3,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9732]) ).
tcf(c_12668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK3(X3,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9688]) ).
tcf(c_12669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK3(X3,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9297]) ).
tcf(c_12670,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(X2,xI),X2)
| ( X2 = xI )
| ( sdtpldt0(sdtpldt0(sK3(X2,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9669]) ).
tcf(c_12671,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(X2,xI),X2)
| ( X2 = xI )
| ( sdtpldt0(sdtasdt0(X1,sK3(X2,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9664]) ).
tcf(c_12672,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(X2,xI),X2)
| ( X2 = xI )
| ( sdtasdt0(X1,sdtpldt0(sK3(X2,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9287]) ).
tcf(c_12673,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X1,xI),X1)
| ( X1 = xI )
| ( sdtpldt0(sK3(X1,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9278]) ).
tcf(c_12674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK2(X8,xI),X8)
| ( X8 = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X8,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9179]) ).
tcf(c_12675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK2(X7,xI),X7)
| ( X7 = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X7,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9147]) ).
tcf(c_12676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK2(X6,xI),X6)
| ( X6 = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X6,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9118]) ).
tcf(c_12677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK2(X5,xI),X5)
| ( X5 = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X5,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9092]) ).
tcf(c_12678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK2(X4,xI),X4)
| ( X4 = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X4,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9069]) ).
tcf(c_12679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X3,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9049]) ).
tcf(c_12680,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(X2,xI),X2)
| ( X2 = xI )
| ( sdtasdt0(X1,sdtasdt0(X0,sK3(X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9032]) ).
tcf(c_12681,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X1,xI),X1)
| ( X1 = xI )
| ( sdtasdt0(X0,sK3(X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_8838]) ).
tcf(c_12682,plain,
! [X0: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_5224]) ).
tcf(c_12683,plain,
! [X0: $i,X1: $i] :
( aElement0(sK2(X0,X1))
| aElementOf0(sK3(X0,X1),X1)
| ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_72]) ).
tcf(c_12684,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(sdtasasdt0(X0,X1),X2),X2)
| aElementOf0(sK2(sdtasasdt0(X0,X1),X2),X1)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_76,c_95]) ).
tcf(c_12685,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(sdtasasdt0(X0,X1),X2),X2)
| aElementOf0(sK2(sdtasasdt0(X0,X1),X2),X0)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_76,c_94]) ).
tcf(c_12686,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(slsdtgt0(X0),X1),X1)
| ( slsdtgt0(X0) = X1 )
| ( sdtasdt0(X0,sK21(X0,sK2(slsdtgt0(X0),X1))) = sK2(slsdtgt0(X0),X1) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_76,c_137]) ).
tcf(c_12687,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(slsdtgt0(X0),X1),X1)
| aElement0(sK21(X0,sK2(slsdtgt0(X0),X1)))
| ( slsdtgt0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_76,c_136]) ).
tcf(c_12688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK2(xI,X3),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9694]) ).
tcf(c_12689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK2(xI,X3))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9732]) ).
tcf(c_12690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK2(xI,X3)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9688]) ).
tcf(c_12691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK2(xI,X3),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9297]) ).
tcf(c_12692,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(xI,X2),X2)
| ( X2 = xI )
| ( sdtpldt0(sdtpldt0(sK2(xI,X2),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9669]) ).
tcf(c_12693,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(xI,X2),X2)
| ( X2 = xI )
| ( sdtpldt0(sdtasdt0(X1,sK2(xI,X2)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9664]) ).
tcf(c_12694,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(xI,X2),X2)
| ( X2 = xI )
| ( sdtasdt0(X1,sdtpldt0(sK2(xI,X2),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9287]) ).
tcf(c_12695,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X1),X1)
| ( X1 = xI )
| ( sdtpldt0(sK2(xI,X1),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_76,c_9278]) ).
tcf(c_12696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK3(xI,X8),X8)
| ( X8 = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X8))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9179]) ).
tcf(c_12697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK3(xI,X7),X7)
| ( X7 = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X7)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9147]) ).
tcf(c_12698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK3(xI,X6),X6)
| ( X6 = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X6))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9118]) ).
tcf(c_12699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK3(xI,X5),X5)
| ( X5 = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X5)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9092]) ).
tcf(c_12700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK3(xI,X4),X4)
| ( X4 = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X4))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9069]) ).
tcf(c_12701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X3)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9049]) ).
tcf(c_12702,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(xI,X2),X2)
| ( X2 = xI )
| ( sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X2))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_9032]) ).
tcf(c_12703,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X1),X1)
| ( X1 = xI )
| ( sdtasdt0(X0,sK2(xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_76,c_8838]) ).
tcf(c_12704,plain,
! [X0: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_5224]) ).
tcf(c_12715,plain,
! [X0: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12704,c_6772]) ).
tcf(c_12720,plain,
! [X0: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12682,c_6772]) ).
tcf(c_12725,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X1),X1)
| ( X1 = xI )
| ( sdtasdt0(X0,sK2(xI,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12703,c_6772]) ).
tcf(c_12731,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X1,xI),X1)
| ( X1 = xI )
| ( sdtasdt0(X0,sK3(X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12681,c_6772]) ).
tcf(c_12737,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X1),X1)
| ( X1 = xI )
| ( sdtpldt0(sK2(xI,X1),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12695,c_6772]) ).
tcf(c_12743,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X1,xI),X1)
| ( X1 = xI )
| ( sdtpldt0(sK3(X1,xI),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12673,c_6772]) ).
tcf(c_12761,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(xI,X2),X2)
| ( X2 = xI )
| ( sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X2))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12702,c_6772]) ).
tcf(c_12768,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(X2,xI),X2)
| ( X2 = xI )
| ( sdtasdt0(X1,sdtasdt0(X0,sK3(X2,xI))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12680,c_6772]) ).
tcf(c_12775,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(xI,X2),X2)
| ( X2 = xI )
| ( sdtasdt0(X1,sdtpldt0(sK2(xI,X2),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12694,c_6772]) ).
tcf(c_12782,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(xI,X2),X2)
| ( X2 = xI )
| ( sdtpldt0(sdtasdt0(X1,sK2(xI,X2)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12693,c_6772]) ).
tcf(c_12789,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(X2,xI),X2)
| ( X2 = xI )
| ( sdtasdt0(X1,sdtpldt0(sK3(X2,xI),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12672,c_6772]) ).
tcf(c_12796,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(X2,xI),X2)
| ( X2 = xI )
| ( sdtpldt0(sdtasdt0(X1,sK3(X2,xI)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12671,c_6772]) ).
tcf(c_12803,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(xI,X2),X2)
| ( X2 = xI )
| ( sdtpldt0(sdtpldt0(sK2(xI,X2),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12692,c_6772]) ).
tcf(c_12810,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(X2,xI),X2)
| ( X2 = xI )
| ( sdtpldt0(sdtpldt0(sK3(X2,xI),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12670,c_6772]) ).
tcf(c_12857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X3)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12701,c_6772]) ).
tcf(c_12865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X3,xI)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12679,c_6772]) ).
tcf(c_12873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK2(xI,X3),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12691,c_6772]) ).
tcf(c_12881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK2(xI,X3)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12690,c_6772]) ).
tcf(c_12889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK2(xI,X3))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12689,c_6772]) ).
tcf(c_12897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK3(X3,xI),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12669,c_6772]) ).
tcf(c_12905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK3(X3,xI)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12668,c_6772]) ).
tcf(c_12913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK3(X3,xI))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12667,c_6772]) ).
tcf(c_12921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK3(xI,X3),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK2(xI,X3),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12688,c_6772]) ).
tcf(c_12929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK2(X3,xI),X3)
| ( X3 = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK3(X3,xI),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12666,c_6772]) ).
tcf(c_12937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK3(xI,X4),X4)
| ( X4 = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X4))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12700,c_6772]) ).
tcf(c_12946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK2(X4,xI),X4)
| ( X4 = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X4,xI))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12678,c_6772]) ).
tcf(c_12955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK3(xI,X5),X5)
| ( X5 = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X5)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12699,c_6772]) ).
tcf(c_12965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK2(X5,xI),X5)
| ( X5 = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X5,xI)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12677,c_6772]) ).
tcf(c_12975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK3(xI,X6),X6)
| ( X6 = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X6))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12698,c_6772]) ).
tcf(c_12986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK2(X6,xI),X6)
| ( X6 = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X6,xI))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12676,c_6772]) ).
tcf(c_12997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK3(xI,X7),X7)
| ( X7 = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X7)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12697,c_6772]) ).
tcf(c_13009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK2(X7,xI),X7)
| ( X7 = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X7,xI)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12675,c_6772]) ).
tcf(c_13021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK3(xI,X8),X8)
| ( X8 = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK2(xI,X8))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12696,c_6772]) ).
tcf(c_13034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK2(X8,xI),X8)
| ( X8 = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK3(X8,xI))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12674,c_6772]) ).
tcf(c_13218,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,X1))
| aElement0(sK19(X0,X1))
| ( slsdtgt0(X0) = X1 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_72]) ).
tcf(c_13219,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X2,sdtasasdt0(X0,X1)))
| aElementOf0(sK19(X2,sdtasasdt0(X0,X1)),X1)
| ( sdtasasdt0(X0,X1) = slsdtgt0(X2) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_132,c_95]) ).
tcf(c_13220,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X2,sdtasasdt0(X0,X1)))
| aElementOf0(sK19(X2,sdtasasdt0(X0,X1)),X0)
| ( sdtasasdt0(X0,X1) = slsdtgt0(X2) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_132,c_94]) ).
tcf(c_13221,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X1,slsdtgt0(X0)))
| ( slsdtgt0(X0) = slsdtgt0(X1) )
| ( sdtasdt0(X0,sK21(X0,sK19(X1,slsdtgt0(X0)))) = sK19(X1,slsdtgt0(X0)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_132,c_137]) ).
tcf(c_13222,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X1,slsdtgt0(X0)))
| aElement0(sK21(X0,sK19(X1,slsdtgt0(X0))))
| ( slsdtgt0(X0) = slsdtgt0(X1) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_132,c_136]) ).
tcf(c_13223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X2,xI))
| ( slsdtgt0(X2) = xI )
| ( sdtasdt0(X3,sdtpldt0(sdtpldt0(sK19(X2,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_132,c_9694]) ).
tcf(c_13224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,sK19(X1,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_132,c_9732]) ).
tcf(c_13225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,sK19(X1,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_132,c_9688]) ).
tcf(c_13226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(sK19(X1,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_132,c_9297]) ).
tcf(c_13227,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X2,xI))
| ( slsdtgt0(X2) = xI )
| ( sdtpldt0(sdtpldt0(sK19(X2,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_132,c_9669]) ).
tcf(c_13228,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtpldt0(sdtasdt0(X2,sK19(X1,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_132,c_9664]) ).
tcf(c_13229,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X2,sdtpldt0(sK19(X1,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_132,c_9287]) ).
tcf(c_13230,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtpldt0(sK19(X1,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_132,c_9278]) ).
tcf(c_13231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_9179]) ).
tcf(c_13232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_9147]) ).
tcf(c_13233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_9118]) ).
tcf(c_13234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_9092]) ).
tcf(c_13235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_9069]) ).
tcf(c_13236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_9049]) ).
tcf(c_13237,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_9032]) ).
tcf(c_13238,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X1,sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_8838]) ).
tcf(c_13239,plain,
! [X0: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_5224]) ).
tcf(c_13245,plain,
! [X0: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13239,c_6772]) ).
tcf(c_13250,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X1,sK19(X0,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13238,c_6772]) ).
tcf(c_13256,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtpldt0(sK19(X1,xI),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13230,c_6772]) ).
tcf(c_13268,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13237,c_6772]) ).
tcf(c_13275,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X2,sdtpldt0(sK19(X1,xI),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13229,c_6772]) ).
tcf(c_13282,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtpldt0(sdtasdt0(X2,sK19(X1,xI)),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13228,c_6772]) ).
tcf(c_13289,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK20(X2,xI))
| ( slsdtgt0(X2) = xI )
| ( sdtpldt0(sdtpldt0(sK19(X2,xI),X0),X1) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13227,c_6772]) ).
tcf(c_13316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13236,c_6772]) ).
tcf(c_13324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(sK19(X1,xI),X0))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13226,c_6772]) ).
tcf(c_13332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,sK19(X1,xI)),X0)) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13225,c_6772]) ).
tcf(c_13340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X1,xI))
| ( slsdtgt0(X1) = xI )
| ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,sK19(X1,xI))),X0) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13224,c_6772]) ).
tcf(c_13348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK20(X2,xI))
| ( slsdtgt0(X2) = xI )
| ( sdtasdt0(X3,sdtpldt0(sdtpldt0(sK19(X2,xI),X0),X1)) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13223,c_6772]) ).
tcf(c_13356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13235,c_6772]) ).
tcf(c_13365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13234,c_6772]) ).
tcf(c_13375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13233,c_6772]) ).
tcf(c_13386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13232,c_6772]) ).
tcf(c_13398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))))))) = sz00 )
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13231,c_6772]) ).
tcf(c_13467,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_55]) ).
tcf(c_13468,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz10,X0),X1) = sdtpldt0(sz10,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_13469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(X0),X1),X2) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_55]) ).
tcf(c_13470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_55]) ).
tcf(c_13471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_55]) ).
tcf(c_13472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtpldt0(sK15(X0,X1),X2),X3) = sdtpldt0(sK15(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_55]) ).
tcf(c_13473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtpldt0(sK16(X0,X1),X2),X3) = sdtpldt0(sK16(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_55]) ).
tcf(c_13474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK17(X0,X1),X2),X3) = sdtpldt0(sK17(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_55]) ).
tcf(c_13475,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xa,X0),X1) = sdtpldt0(xa,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_139,c_55]) ).
tcf(c_13476,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xb,X0),X1) = sdtpldt0(xb,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_55]) ).
tcf(c_13477,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(sz00,sz00),X0),X1) = sdtpldt0(sK21(sz00,sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7607,c_55]) ).
tcf(c_13478,plain,
! [X0: $i,X1: $i,X2: $i] :
( aIdeal0(X2)
| ( sdtpldt0(sdtpldt0(sK10(X2),X0),X1) = sdtpldt0(sK10(X2),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_55]) ).
tcf(c_13479,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xa),X0),X1) = sdtpldt0(smndt0(xa),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8413,c_55]) ).
tcf(c_13480,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(xa,sz00),X0),X1) = sdtpldt0(sK21(xa,sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7467,c_55]) ).
tcf(c_13481,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(xa,xa),X0),X1) = sdtpldt0(sK21(xa,xa),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7466,c_55]) ).
tcf(c_13482,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(xb,sz00),X0),X1) = sdtpldt0(sK21(xb,sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7465,c_55]) ).
tcf(c_13483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(xb,xb),X0),X1) = sdtpldt0(sK21(xb,xb),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7464,c_55]) ).
tcf(c_13484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xc,X0),X1) = sdtpldt0(xc,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8521,c_55]) ).
tcf(c_13485,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(xc,sz00),X0),X1) = sdtpldt0(sK21(xc,sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8638,c_55]) ).
tcf(c_13486,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(xc,xc),X0),X1) = sdtpldt0(sK21(xc,xc),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11190,c_55]) ).
tcf(c_13666,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_61]) ).
tcf(c_13667,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz10,X0),X1) = sdtasdt0(sz10,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_61]) ).
tcf(c_13668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(X0),X1),X2) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_61]) ).
tcf(c_13669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_61]) ).
tcf(c_13670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_61]) ).
tcf(c_13671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sdtasdt0(sK15(X0,X1),X2),X3) = sdtasdt0(sK15(X0,X1),sdtasdt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_61]) ).
tcf(c_13672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(sdtasdt0(sK16(X0,X1),X2),X3) = sdtasdt0(sK16(X0,X1),sdtasdt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_61]) ).
tcf(c_13673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK17(X0,X1),X2),X3) = sdtasdt0(sK17(X0,X1),sdtasdt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_61]) ).
tcf(c_13674,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xa,X0),X1) = sdtasdt0(xa,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_139,c_61]) ).
tcf(c_13675,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xb,X0),X1) = sdtasdt0(xb,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_61]) ).
tcf(c_13676,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(sz00,sz00),X0),X1) = sdtasdt0(sK21(sz00,sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7607,c_61]) ).
tcf(c_13677,plain,
! [X0: $i,X1: $i,X2: $i] :
( aIdeal0(X2)
| ( sdtasdt0(sdtasdt0(sK10(X2),X0),X1) = sdtasdt0(sK10(X2),sdtasdt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_61]) ).
tcf(c_13678,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xa),X0),X1) = sdtasdt0(smndt0(xa),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8413,c_61]) ).
tcf(c_13679,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(xa,sz00),X0),X1) = sdtasdt0(sK21(xa,sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7467,c_61]) ).
tcf(c_13680,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(xa,xa),X0),X1) = sdtasdt0(sK21(xa,xa),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7466,c_61]) ).
tcf(c_13681,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(xb,sz00),X0),X1) = sdtasdt0(sK21(xb,sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7465,c_61]) ).
tcf(c_13682,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(xb,xb),X0),X1) = sdtasdt0(sK21(xb,xb),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7464,c_61]) ).
tcf(c_13683,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xc,X0),X1) = sdtasdt0(xc,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8521,c_61]) ).
tcf(c_13684,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(xc,sz00),X0),X1) = sdtasdt0(sK21(xc,sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8638,c_61]) ).
tcf(c_13685,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(xc,xc),X0),X1) = sdtasdt0(sK21(xc,xc),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11190,c_61]) ).
tcf(c_13834,plain,
! [X0: $i] :
( aElement0(sK3(xI,X0))
| ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12715,c_72]) ).
tcf(c_13835,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,sdtasasdt0(X0,X1)),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK2(xI,sdtasasdt0(X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_12715,c_95]) ).
tcf(c_13836,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,sdtasasdt0(X0,X1)),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK2(xI,sdtasasdt0(X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_12715,c_94]) ).
tcf(c_13837,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK2(xI,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK3(xI,slsdtgt0(X0)))) = sK3(xI,slsdtgt0(X0)) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_12715,c_137]) ).
tcf(c_13838,plain,
! [X0: $i] :
( aElement0(sK21(X0,sK3(xI,slsdtgt0(X0))))
| ( slsdtgt0(X0) = xI )
| ( sK2(xI,slsdtgt0(X0)) = sz00 )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_12715,c_136]) ).
tcf(c_13894,plain,
! [X0: $i] :
( aElement0(sK2(X0,xI))
| ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12720,c_72]) ).
tcf(c_13895,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(sdtasasdt0(X0,X1),xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK3(sdtasasdt0(X0,X1),xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_12720,c_95]) ).
tcf(c_13896,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(sdtasasdt0(X0,X1),xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK3(sdtasasdt0(X0,X1),xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_12720,c_94]) ).
tcf(c_13897,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK3(slsdtgt0(X0),xI) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK2(slsdtgt0(X0),xI))) = sK2(slsdtgt0(X0),xI) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_12720,c_137]) ).
tcf(c_13898,plain,
! [X0: $i] :
( aElement0(sK21(X0,sK2(slsdtgt0(X0),xI)))
| ( slsdtgt0(X0) = xI )
| ( sK3(slsdtgt0(X0),xI) = sz00 )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_12720,c_136]) ).
tcf(c_13991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(sdtasdt0(sK20(X0,xI),X1),X2) = sdtasdt0(sK20(X0,xI),sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_61]) ).
tcf(c_13992,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK20(X0,xI),X1),X2) = sdtpldt0(sK20(X0,xI),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_55]) ).
tcf(c_13993,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(sK20(X0,xI),X1) = sdtasdt0(X1,sK20(X0,xI)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_60]) ).
tcf(c_13994,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(sK20(X0,xI),X1) = sdtpldt0(X1,sK20(X0,xI)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_54]) ).
tcf(c_13995,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(sK20(X0,xI),smndt0(sz10)) = smndt0(sK20(X0,xI)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_67]) ).
tcf(c_13996,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK20(X0,xI)) = smndt0(sK20(X0,xI)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_66]) ).
tcf(c_13997,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(X0,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_6856]) ).
tcf(c_13998,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(X0,xI)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_6844]) ).
tcf(c_13999,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(smndt0(sK20(X0,xI)),sK20(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_59]) ).
tcf(c_14000,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(sK20(X0,xI),smndt0(sK20(X0,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_58]) ).
tcf(c_14001,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(sz00,sK20(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_69]) ).
tcf(c_14002,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(sK20(X0,xI),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_68]) ).
tcf(c_14003,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(sz10,sK20(X0,xI)) = sK20(X0,xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_63]) ).
tcf(c_14004,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(sK20(X0,xI),sz10) = sK20(X0,xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_62]) ).
tcf(c_14005,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(sz00,sK20(X0,xI)) = sK20(X0,xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_57]) ).
tcf(c_14006,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(sK20(X0,xI),sz00) = sK20(X0,xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_56]) ).
tcf(c_15069,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xb,xb),X0)
| ~ aElementOf0(smndt0(sK21(xb,xb)),X0) ),
inference(superposition,[status(thm)],[c_7999,c_102]) ).
tcf(c_15120,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK3(X0,sdtasasdt0(X1,X2)),sdtasasdt0(X1,X2))
| ( sdtasasdt0(X1,X2) = X0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X1,X2))
| ~ aElementOf0(sK2(X0,sdtasasdt0(X1,X2)),X2)
| ~ aElementOf0(sK2(X0,sdtasasdt0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_93,c_74]) ).
tcf(c_15142,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK2(sdtasasdt0(X0,X1),X2),sdtasasdt0(X0,X1))
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1))
| ~ aElementOf0(sK3(sdtasasdt0(X0,X1),X2),X1)
| ~ aElementOf0(sK3(sdtasasdt0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_93,c_75]) ).
tcf(c_15186,plain,
! [X0: $i,X1: $i] :
( aIdeal0(sdtasasdt0(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1))
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),X1)
| ~ aElementOf0(sdtpldt0(sK10(sdtasasdt0(X0,X1)),sK11(sdtasasdt0(X0,X1))),X0)
| ~ aElementOf0(sdtasdt0(sK12(sdtasasdt0(X0,X1)),sK10(sdtasasdt0(X0,X1))),sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_93,c_96]) ).
tcf(c_15200,plain,
( aElement0(smndt0(xb))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_7375]) ).
tcf(c_15201,plain,
aElement0(smndt0(xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_15200,c_50]) ).
tcf(c_15202,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xb),X0),X1) = sdtasdt0(smndt0(xb),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15201,c_61]) ).
tcf(c_15203,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xb),X0),X1) = sdtpldt0(smndt0(xb),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15201,c_55]) ).
tcf(c_15204,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xb),X0) = sdtasdt0(X0,smndt0(xb)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15201,c_60]) ).
tcf(c_15205,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xb),X0) = sdtpldt0(X0,smndt0(xb)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15201,c_54]) ).
tcf(c_15206,plain,
sdtasdt0(smndt0(xb),smndt0(sz10)) = smndt0(smndt0(xb)),
inference(superposition,[status(thm)],[c_15201,c_67]) ).
tcf(c_15207,plain,
sdtasdt0(smndt0(sz10),smndt0(xb)) = smndt0(smndt0(xb)),
inference(superposition,[status(thm)],[c_15201,c_66]) ).
tcf(c_15208,plain,
sdtasdt0(sz00,smndt0(smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_15201,c_6856]) ).
tcf(c_15209,plain,
sdtasdt0(smndt0(smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15201,c_6844]) ).
tcf(c_15210,plain,
sdtpldt0(smndt0(smndt0(xb)),smndt0(xb)) = sz00,
inference(superposition,[status(thm)],[c_15201,c_59]) ).
tcf(c_15211,plain,
sdtpldt0(smndt0(xb),smndt0(smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_15201,c_58]) ).
tcf(c_15214,plain,
sdtasdt0(sz10,smndt0(xb)) = smndt0(xb),
inference(superposition,[status(thm)],[c_15201,c_63]) ).
tcf(c_15215,plain,
sdtasdt0(smndt0(xb),sz10) = smndt0(xb),
inference(superposition,[status(thm)],[c_15201,c_62]) ).
tcf(c_15216,plain,
sdtpldt0(sz00,smndt0(xb)) = smndt0(xb),
inference(superposition,[status(thm)],[c_15201,c_57]) ).
tcf(c_15217,plain,
sdtpldt0(smndt0(xb),sz00) = smndt0(xb),
inference(superposition,[status(thm)],[c_15201,c_56]) ).
tcf(c_15325,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(xc),X0) ),
inference(superposition,[status(thm)],[c_8527,c_103]) ).
tcf(c_15326,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(xc),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15325,c_49]) ).
tcf(c_16540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = xI )
| ( sK2(xI,X2) = sz00 )
| ( sdtasdt0(sdtasdt0(sK3(xI,X2),X0),X1) = sdtasdt0(sK3(xI,X2),sdtasdt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_61]) ).
tcf(c_16541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = xI )
| ( sK2(xI,X2) = sz00 )
| ( sdtpldt0(sdtpldt0(sK3(xI,X2),X0),X1) = sdtpldt0(sK3(xI,X2),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_55]) ).
tcf(c_16542,plain,
! [X0: $i,X1: $i] :
( ( X1 = xI )
| ( sK2(xI,X1) = sz00 )
| ( sdtasdt0(sK3(xI,X1),X0) = sdtasdt0(X0,sK3(xI,X1)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_60]) ).
tcf(c_16543,plain,
! [X0: $i,X1: $i] :
( ( X1 = xI )
| ( sK2(xI,X1) = sz00 )
| ( sdtpldt0(sK3(xI,X1),X0) = sdtpldt0(X0,sK3(xI,X1)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_54]) ).
tcf(c_16544,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasdt0(sK3(xI,X0),smndt0(sz10)) = smndt0(sK3(xI,X0)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_67]) ).
tcf(c_16545,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK3(xI,X0)) = smndt0(sK3(xI,X0)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_66]) ).
tcf(c_16546,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK3(xI,X0))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_6856]) ).
tcf(c_16547,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasdt0(smndt0(sK3(xI,X0)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_6844]) ).
tcf(c_16548,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtpldt0(smndt0(sK3(xI,X0)),sK3(xI,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_59]) ).
tcf(c_16549,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtpldt0(sK3(xI,X0),smndt0(sK3(xI,X0))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_58]) ).
tcf(c_16550,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasdt0(sz00,sK3(xI,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_69]) ).
tcf(c_16551,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasdt0(sK3(xI,X0),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_68]) ).
tcf(c_16552,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasdt0(sz10,sK3(xI,X0)) = sK3(xI,X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_63]) ).
tcf(c_16553,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasdt0(sK3(xI,X0),sz10) = sK3(xI,X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_62]) ).
tcf(c_16554,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtpldt0(sz00,sK3(xI,X0)) = sK3(xI,X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_57]) ).
tcf(c_16555,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtpldt0(sK3(xI,X0),sz00) = sK3(xI,X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_56]) ).
tcf(c_16655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X1,X2) = X0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X1,X2))
| ~ aElementOf0(sK3(X0,sdtasasdt0(X1,X2)),X0)
| ~ aElementOf0(sK2(X0,sdtasasdt0(X1,X2)),X2)
| ~ aElementOf0(sK2(X0,sdtasasdt0(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_93,c_73]) ).
tcf(c_16678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElement0(sK14(X4,X5))
| ( sdtasdt0(sdtasdt0(sK13(X4,X5,X0,X1),X2),X3) = sdtasdt0(sK13(X4,X5,X0,X1),sdtasdt0(X2,X3)) )
| ~ aIdeal0(X5)
| ~ aIdeal0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_61]) ).
tcf(c_16679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElement0(sK14(X4,X5))
| ( sdtpldt0(sdtpldt0(sK13(X4,X5,X0,X1),X2),X3) = sdtpldt0(sK13(X4,X5,X0,X1),sdtpldt0(X2,X3)) )
| ~ aIdeal0(X5)
| ~ aIdeal0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_55]) ).
tcf(c_16680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElement0(sK14(X3,X4))
| ( sdtasdt0(sK13(X3,X4,X0,X1),X2) = sdtasdt0(X2,sK13(X3,X4,X0,X1)) )
| ~ aIdeal0(X4)
| ~ aIdeal0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_60]) ).
tcf(c_16681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElement0(sK14(X3,X4))
| ( sdtpldt0(sK13(X3,X4,X0,X1),X2) = sdtpldt0(X2,sK13(X3,X4,X0,X1)) )
| ~ aIdeal0(X4)
| ~ aIdeal0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_54]) ).
tcf(c_16682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasdt0(sK13(X2,X3,X0,X1),smndt0(sz10)) = smndt0(sK13(X2,X3,X0,X1)) )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_67]) ).
tcf(c_16683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasdt0(smndt0(sz10),sK13(X2,X3,X0,X1)) = smndt0(sK13(X2,X3,X0,X1)) )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_66]) ).
tcf(c_16684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasdt0(sz00,smndt0(sK13(X2,X3,X0,X1))) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_6856]) ).
tcf(c_16685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasdt0(smndt0(sK13(X2,X3,X0,X1)),sz00) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_6844]) ).
tcf(c_16686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtpldt0(smndt0(sK13(X2,X3,X0,X1)),sK13(X2,X3,X0,X1)) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_59]) ).
tcf(c_16687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtpldt0(sK13(X2,X3,X0,X1),smndt0(sK13(X2,X3,X0,X1))) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_58]) ).
tcf(c_16688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasdt0(sz00,sK13(X2,X3,X0,X1)) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_69]) ).
tcf(c_16689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasdt0(sK13(X2,X3,X0,X1),sz00) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_68]) ).
tcf(c_16690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasdt0(sz10,sK13(X2,X3,X0,X1)) = sK13(X2,X3,X0,X1) )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_63]) ).
tcf(c_16691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasdt0(sK13(X2,X3,X0,X1),sz10) = sK13(X2,X3,X0,X1) )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_62]) ).
tcf(c_16692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtpldt0(sz00,sK13(X2,X3,X0,X1)) = sK13(X2,X3,X0,X1) )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_57]) ).
tcf(c_16693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtpldt0(sK13(X2,X3,X0,X1),sz00) = sK13(X2,X3,X0,X1) )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_56]) ).
tcf(c_16900,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sz00,X0),X0),sK16(sz00,X0)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_116]) ).
tcf(c_16901,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sz10,X0),X0),sK16(sz10,X0)) = sz10 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_116]) ).
tcf(c_16902,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(smndt0(X0),X1),X1),sK16(smndt0(X0),X1)) = smndt0(X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_116]) ).
tcf(c_16903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sdtpldt0(X0,X1),X2),X2),sK16(sdtpldt0(X0,X1),X2)) = sdtpldt0(X0,X1) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_116]) ).
tcf(c_16904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sdtasdt0(X0,X1),X2),X2),sK16(sdtasdt0(X0,X1),X2)) = sdtasdt0(X0,X1) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_116]) ).
tcf(c_16905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElement0(sK14(X3,X4))
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK13(X3,X4,X0,X1),X2),X2),sK16(sK13(X3,X4,X0,X1),X2)) = sK13(X3,X4,X0,X1) )
| ~ aIdeal0(X4)
| ~ aIdeal0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_116]) ).
tcf(c_16906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK15(X0,X1),X2),X2),sK16(sK15(X0,X1),X2)) = sK15(X0,X1) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_116]) ).
tcf(c_16907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK16(X0,X1),X2),X2),sK16(sK16(X0,X1),X2)) = sK16(X0,X1) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_116]) ).
tcf(c_16908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK17(X0,X1),X2),X2),sK16(sK17(X0,X1),X2)) = sK17(X0,X1) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_116]) ).
tcf(c_16909,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(xa,X0),X0),sK16(xa,X0)) = xa )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_139,c_116]) ).
tcf(c_16910,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(xb,X0),X0),sK16(xb,X0)) = xb )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_116]) ).
tcf(c_16911,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(sz00,sz00),X0),X0),sK16(sK21(sz00,sz00),X0)) = sK21(sz00,sz00) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7607,c_116]) ).
tcf(c_16912,plain,
! [X0: $i,X1: $i] :
( aIdeal0(X1)
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK10(X1),X0),X0),sK16(sK10(X1),X0)) = sK10(X1) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_116]) ).
tcf(c_16913,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(smndt0(xa),X0),X0),sK16(smndt0(xa),X0)) = smndt0(xa) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8413,c_116]) ).
tcf(c_16914,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(smndt0(xb),X0),X0),sK16(smndt0(xb),X0)) = smndt0(xb) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15201,c_116]) ).
tcf(c_16915,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(xa,sz00),X0),X0),sK16(sK21(xa,sz00),X0)) = sK21(xa,sz00) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7467,c_116]) ).
tcf(c_16916,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(xa,xa),X0),X0),sK16(sK21(xa,xa),X0)) = sK21(xa,xa) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7466,c_116]) ).
tcf(c_16917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(xb,sz00),X0),X0),sK16(sK21(xb,sz00),X0)) = sK21(xb,sz00) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7465,c_116]) ).
tcf(c_16918,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(xb,xb),X0),X0),sK16(sK21(xb,xb),X0)) = sK21(xb,xb) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7464,c_116]) ).
tcf(c_16919,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK20(X0,xI),X1),X1),sK16(sK20(X0,xI),X1)) = sK20(X0,xI) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_116]) ).
tcf(c_16920,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(xc,X0),X0),sK16(xc,X0)) = xc )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8521,c_116]) ).
tcf(c_16921,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(xc,sz00),X0),X0),sK16(sK21(xc,sz00),X0)) = sK21(xc,sz00) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8638,c_116]) ).
tcf(c_16922,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(xc,xc),X0),X0),sK16(sK21(xc,xc),X0)) = sK21(xc,xc) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11190,c_116]) ).
tcf(c_16927,plain,
! [X0: $i,X1: $i] :
( ( X1 = xI )
| ( X0 = sz00 )
| ( sK2(xI,X1) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK3(xI,X1),X0),X0),sK16(sK3(xI,X1),X0)) = sK3(xI,X1) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_116]) ).
tcf(c_17119,plain,
! [X0: $i] :
( doDivides0(X0,xc)
| ~ aElement0(xb)
| ~ aElement0(xa)
| ~ aDivisorOf0(X0,xb)
| ~ aDivisorOf0(X0,xa) ),
inference(superposition,[status(thm)],[c_142,c_128]) ).
tcf(c_17120,plain,
! [X0: $i] :
( doDivides0(X0,xc)
| ~ aDivisorOf0(X0,xb)
| ~ aDivisorOf0(X0,xa) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17119,c_140,c_139]) ).
tcf(c_17124,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xc)))
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xc)) ),
inference(superposition,[status(thm)],[c_8528,c_135]) ).
tcf(c_17125,plain,
( doDivides0(smndt0(xc),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xc)) ),
inference(superposition,[status(thm)],[c_8528,c_227]) ).
tcf(c_17129,plain,
( doDivides0(smndt0(xc),sz00)
| ~ aElement0(smndt0(xc)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17125,c_49]) ).
tcf(c_17132,plain,
( aElementOf0(sz00,slsdtgt0(smndt0(xc)))
| ~ aElement0(smndt0(xc)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17124,c_49]) ).
tcf(c_17139,plain,
( aElementOf0(smndt0(sz10),slsdtgt0(sz10))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7254,c_135]) ).
tcf(c_17140,plain,
( doDivides0(sz10,smndt0(sz10))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7254,c_227]) ).
tcf(c_17144,plain,
( doDivides0(sz10,smndt0(sz10))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17140,c_50]) ).
tcf(c_17147,plain,
( aElementOf0(smndt0(sz10),slsdtgt0(sz10))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17139,c_50]) ).
tcf(c_17158,plain,
! [X0: $i,X1: $i] :
( ( X1 = xI )
| ( X0 = sz00 )
| ( sK3(X1,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK2(X1,xI),X0),X0),sK16(sK2(X1,xI),X0)) = sK2(X1,xI) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_116]) ).
tcf(c_17159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = xI )
| ( sK3(X2,xI) = sz00 )
| ( sdtasdt0(sdtasdt0(sK2(X2,xI),X0),X1) = sdtasdt0(sK2(X2,xI),sdtasdt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_61]) ).
tcf(c_17160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = xI )
| ( sK3(X2,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK2(X2,xI),X0),X1) = sdtpldt0(sK2(X2,xI),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_55]) ).
tcf(c_17161,plain,
! [X0: $i,X1: $i] :
( ( X1 = xI )
| ( sK3(X1,xI) = sz00 )
| ( sdtasdt0(sK2(X1,xI),X0) = sdtasdt0(X0,sK2(X1,xI)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_60]) ).
tcf(c_17162,plain,
! [X0: $i,X1: $i] :
( ( X1 = xI )
| ( sK3(X1,xI) = sz00 )
| ( sdtpldt0(sK2(X1,xI),X0) = sdtpldt0(X0,sK2(X1,xI)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_54]) ).
tcf(c_17163,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasdt0(sK2(X0,xI),smndt0(sz10)) = smndt0(sK2(X0,xI)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_67]) ).
tcf(c_17164,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK2(X0,xI)) = smndt0(sK2(X0,xI)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_66]) ).
tcf(c_17165,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK2(X0,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_6856]) ).
tcf(c_17166,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasdt0(smndt0(sK2(X0,xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_6844]) ).
tcf(c_17167,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtpldt0(smndt0(sK2(X0,xI)),sK2(X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_59]) ).
tcf(c_17168,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtpldt0(sK2(X0,xI),smndt0(sK2(X0,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_58]) ).
tcf(c_17169,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasdt0(sz00,sK2(X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_69]) ).
tcf(c_17170,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasdt0(sK2(X0,xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_68]) ).
tcf(c_17171,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasdt0(sz10,sK2(X0,xI)) = sK2(X0,xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_63]) ).
tcf(c_17172,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasdt0(sK2(X0,xI),sz10) = sK2(X0,xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_62]) ).
tcf(c_17173,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtpldt0(sz00,sK2(X0,xI)) = sK2(X0,xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_57]) ).
tcf(c_17174,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtpldt0(sK2(X0,xI),sz00) = sK2(X0,xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_56]) ).
tcf(c_17607,plain,
( ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sz00,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_14001]) ).
tcf(c_17608,plain,
( ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sz10,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_14001]) ).
tcf(c_17609,plain,
! [X0: $i] :
( ( slsdtgt0(smndt0(X0)) = xI )
| ( sK19(smndt0(X0),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(smndt0(X0),xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_14001]) ).
tcf(c_17610,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtpldt0(X0,X1)) = xI )
| ( sK19(sdtpldt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sdtpldt0(X0,X1),xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_14001]) ).
tcf(c_17611,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtasdt0(X0,X1)) = xI )
| ( sK19(sdtasdt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sdtasdt0(X0,X1),xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_14001]) ).
tcf(c_17612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( slsdtgt0(sK13(X2,X3,X0,X1)) = xI )
| ( sK19(sK13(X2,X3,X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK13(X2,X3,X0,X1),xI)) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_14001]) ).
tcf(c_17613,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK15(X0,X1)) = xI )
| ( sK19(sK15(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK15(X0,X1),xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_14001]) ).
tcf(c_17614,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK16(X0,X1)) = xI )
| ( sK19(sK16(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK16(X0,X1),xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_14001]) ).
tcf(c_17615,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sK17(X0,X1)) = xI )
| ( sK19(sK17(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK17(X0,X1),xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_14001]) ).
tcf(c_17616,plain,
( ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ( sdtasdt0(sz00,sK20(xa,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_14001]) ).
tcf(c_17617,plain,
( ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ( sdtasdt0(sz00,sK20(xb,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_14001]) ).
tcf(c_17618,plain,
( ( slsdtgt0(sK21(sz00,sz00)) = xI )
| ( sK19(sK21(sz00,sz00),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(sz00,sz00),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_14001]) ).
tcf(c_17619,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( slsdtgt0(sK10(X0)) = xI )
| ( sK19(sK10(X0),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK10(X0),xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_14001]) ).
tcf(c_17620,plain,
( ( slsdtgt0(smndt0(xa)) = xI )
| ( sK19(smndt0(xa),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(smndt0(xa),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_14001]) ).
tcf(c_17621,plain,
( ( slsdtgt0(smndt0(xb)) = xI )
| ( sK19(smndt0(xb),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(smndt0(xb),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_14001]) ).
tcf(c_17622,plain,
( ( slsdtgt0(sK21(xa,sz00)) = xI )
| ( sK19(sK21(xa,sz00),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(xa,sz00),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_14001]) ).
tcf(c_17623,plain,
( ( slsdtgt0(sK21(xa,xa)) = xI )
| ( sK19(sK21(xa,xa),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(xa,xa),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_14001]) ).
tcf(c_17624,plain,
( ( slsdtgt0(sK21(xb,sz00)) = xI )
| ( sK19(sK21(xb,sz00),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(xb,sz00),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_14001]) ).
tcf(c_17625,plain,
( ( slsdtgt0(sK21(xb,xb)) = xI )
| ( sK19(sK21(xb,xb),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(xb,xb),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_14001]) ).
tcf(c_17626,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( slsdtgt0(sK20(X0,xI)) = xI )
| ( sK19(sK20(X0,xI),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK20(X0,xI),xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_14001]) ).
tcf(c_17627,plain,
( ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ( sdtasdt0(sz00,sK20(xc,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_14001]) ).
tcf(c_17628,plain,
( ( slsdtgt0(sK21(xc,sz00)) = xI )
| ( sK19(sK21(xc,sz00),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(xc,sz00),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_14001]) ).
tcf(c_17629,plain,
( ( slsdtgt0(sK21(xc,xc)) = xI )
| ( sK19(sK21(xc,xc),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(xc,xc),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_14001]) ).
tcf(c_17636,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( slsdtgt0(sK3(xI,X0)) = xI )
| ( sK19(sK3(xI,X0),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK3(xI,X0),xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_14001]) ).
tcf(c_17637,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( slsdtgt0(sK2(X0,xI)) = xI )
| ( sK19(sK2(X0,xI),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK2(X0,xI),xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_14001]) ).
tcf(c_17923,plain,
( ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ( sdtasdt0(sK20(sz00,xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_14002]) ).
tcf(c_17924,plain,
( ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ( sdtasdt0(sK20(sz10,xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_14002]) ).
tcf(c_17925,plain,
! [X0: $i] :
( ( slsdtgt0(smndt0(X0)) = xI )
| ( sK19(smndt0(X0),xI) = sz00 )
| ( sdtasdt0(sK20(smndt0(X0),xI),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_14002]) ).
tcf(c_17926,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtpldt0(X0,X1)) = xI )
| ( sK19(sdtpldt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(sK20(sdtpldt0(X0,X1),xI),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_14002]) ).
tcf(c_17927,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtasdt0(X0,X1)) = xI )
| ( sK19(sdtasdt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(sK20(sdtasdt0(X0,X1),xI),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_14002]) ).
tcf(c_17928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( slsdtgt0(sK13(X2,X3,X0,X1)) = xI )
| ( sK19(sK13(X2,X3,X0,X1),xI) = sz00 )
| ( sdtasdt0(sK20(sK13(X2,X3,X0,X1),xI),sz00) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_14002]) ).
tcf(c_17929,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK15(X0,X1)) = xI )
| ( sK19(sK15(X0,X1),xI) = sz00 )
| ( sdtasdt0(sK20(sK15(X0,X1),xI),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_14002]) ).
tcf(c_17930,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK16(X0,X1)) = xI )
| ( sK19(sK16(X0,X1),xI) = sz00 )
| ( sdtasdt0(sK20(sK16(X0,X1),xI),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_14002]) ).
tcf(c_17931,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sK17(X0,X1)) = xI )
| ( sK19(sK17(X0,X1),xI) = sz00 )
| ( sdtasdt0(sK20(sK17(X0,X1),xI),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_14002]) ).
tcf(c_17932,plain,
( ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ( sdtasdt0(sK20(xa,xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_14002]) ).
tcf(c_17933,plain,
( ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ( sdtasdt0(sK20(xb,xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_14002]) ).
tcf(c_17934,plain,
( ( slsdtgt0(sK21(sz00,sz00)) = xI )
| ( sK19(sK21(sz00,sz00),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(sz00,sz00),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_14002]) ).
tcf(c_17935,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( slsdtgt0(sK10(X0)) = xI )
| ( sK19(sK10(X0),xI) = sz00 )
| ( sdtasdt0(sK20(sK10(X0),xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_14002]) ).
tcf(c_17936,plain,
( ( slsdtgt0(smndt0(xa)) = xI )
| ( sK19(smndt0(xa),xI) = sz00 )
| ( sdtasdt0(sK20(smndt0(xa),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_14002]) ).
tcf(c_17937,plain,
( ( slsdtgt0(smndt0(xb)) = xI )
| ( sK19(smndt0(xb),xI) = sz00 )
| ( sdtasdt0(sK20(smndt0(xb),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_14002]) ).
tcf(c_17938,plain,
( ( slsdtgt0(sK21(xa,sz00)) = xI )
| ( sK19(sK21(xa,sz00),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(xa,sz00),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_14002]) ).
tcf(c_17939,plain,
( ( slsdtgt0(sK21(xa,xa)) = xI )
| ( sK19(sK21(xa,xa),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(xa,xa),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_14002]) ).
tcf(c_17940,plain,
( ( slsdtgt0(sK21(xb,sz00)) = xI )
| ( sK19(sK21(xb,sz00),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(xb,sz00),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_14002]) ).
tcf(c_17941,plain,
( ( slsdtgt0(sK21(xb,xb)) = xI )
| ( sK19(sK21(xb,xb),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(xb,xb),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_14002]) ).
tcf(c_17942,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( slsdtgt0(sK20(X0,xI)) = xI )
| ( sK19(sK20(X0,xI),xI) = sz00 )
| ( sdtasdt0(sK20(sK20(X0,xI),xI),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_14002]) ).
tcf(c_17943,plain,
( ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ( sdtasdt0(sK20(xc,xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_14002]) ).
tcf(c_17944,plain,
( ( slsdtgt0(sK21(xc,sz00)) = xI )
| ( sK19(sK21(xc,sz00),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(xc,sz00),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_14002]) ).
tcf(c_17945,plain,
( ( slsdtgt0(sK21(xc,xc)) = xI )
| ( sK19(sK21(xc,xc),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(xc,xc),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_14002]) ).
tcf(c_17952,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( slsdtgt0(sK3(xI,X0)) = xI )
| ( sK19(sK3(xI,X0),xI) = sz00 )
| ( sdtasdt0(sK20(sK3(xI,X0),xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_14002]) ).
tcf(c_17953,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( slsdtgt0(sK2(X0,xI)) = xI )
| ( sK19(sK2(X0,xI),xI) = sz00 )
| ( sdtasdt0(sK20(sK2(X0,xI),xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_14002]) ).
tcf(c_19020,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xb,xb),X0) ),
inference(superposition,[status(thm)],[c_8001,c_103]) ).
tcf(c_19021,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xb,xb),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19020,c_49]) ).
tcf(c_19034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_19035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(sz10,X1)) = sdtasdt0(sz10,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_64]) ).
tcf(c_19036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X1),sdtasdt0(smndt0(X0),X2)) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_64]) ).
tcf(c_19037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),X3)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_64]) ).
tcf(c_19038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),X3)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_64]) ).
tcf(c_19039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElement0(sK14(X4,X5))
| ( sdtpldt0(sdtasdt0(sK13(X4,X5,X0,X1),X2),sdtasdt0(sK13(X4,X5,X0,X1),X3)) = sdtasdt0(sK13(X4,X5,X0,X1),sdtpldt0(X2,X3)) )
| ~ aIdeal0(X5)
| ~ aIdeal0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_64]) ).
tcf(c_19040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(X0,X1),X2),sdtasdt0(sK15(X0,X1),X3)) = sdtasdt0(sK15(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_64]) ).
tcf(c_19041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(sK16(X0,X1),X2),sdtasdt0(sK16(X0,X1),X3)) = sdtasdt0(sK16(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_64]) ).
tcf(c_19042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK17(X0,X1),X2),sdtasdt0(sK17(X0,X1),X3)) = sdtasdt0(sK17(X0,X1),sdtpldt0(X2,X3)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_64]) ).
tcf(c_19043,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,X1)) = sdtasdt0(xa,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_139,c_64]) ).
tcf(c_19044,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xb,X0),sdtasdt0(xb,X1)) = sdtasdt0(xb,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_64]) ).
tcf(c_19045,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(sz00,sz00),X0),sdtasdt0(sK21(sz00,sz00),X1)) = sdtasdt0(sK21(sz00,sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7607,c_64]) ).
tcf(c_19046,plain,
! [X0: $i,X1: $i,X2: $i] :
( aIdeal0(X2)
| ( sdtpldt0(sdtasdt0(sK10(X2),X0),sdtasdt0(sK10(X2),X1)) = sdtasdt0(sK10(X2),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_64]) ).
tcf(c_19047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xa),X0),sdtasdt0(smndt0(xa),X1)) = sdtasdt0(smndt0(xa),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8413,c_64]) ).
tcf(c_19048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xb),X0),sdtasdt0(smndt0(xb),X1)) = sdtasdt0(smndt0(xb),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15201,c_64]) ).
tcf(c_19049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(xa,sz00),X0),sdtasdt0(sK21(xa,sz00),X1)) = sdtasdt0(sK21(xa,sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7467,c_64]) ).
tcf(c_19050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(xa,xa),X0),sdtasdt0(sK21(xa,xa),X1)) = sdtasdt0(sK21(xa,xa),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7466,c_64]) ).
tcf(c_19051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(xb,sz00),X0),sdtasdt0(sK21(xb,sz00),X1)) = sdtasdt0(sK21(xb,sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7465,c_64]) ).
tcf(c_19052,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(xb,xb),X0),sdtasdt0(sK21(xb,xb),X1)) = sdtasdt0(sK21(xb,xb),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7464,c_64]) ).
tcf(c_19053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(sK20(X0,xI),X1),sdtasdt0(sK20(X0,xI),X2)) = sdtasdt0(sK20(X0,xI),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_64]) ).
tcf(c_19054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xc,X0),sdtasdt0(xc,X1)) = sdtasdt0(xc,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8521,c_64]) ).
tcf(c_19055,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(xc,sz00),X0),sdtasdt0(sK21(xc,sz00),X1)) = sdtasdt0(sK21(xc,sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8638,c_64]) ).
tcf(c_19056,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(xc,xc),X0),sdtasdt0(sK21(xc,xc),X1)) = sdtasdt0(sK21(xc,xc),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11190,c_64]) ).
tcf(c_19063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = xI )
| ( sK2(xI,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(sK3(xI,X2),X0),sdtasdt0(sK3(xI,X2),X1)) = sdtasdt0(sK3(xI,X2),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_64]) ).
tcf(c_19064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = xI )
| ( sK3(X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(sK2(X2,xI),X0),sdtasdt0(sK2(X2,xI),X1)) = sdtasdt0(sK2(X2,xI),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_64]) ).
tcf(c_19287,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00)) = sdtasdt0(sdtpldt0(X0,X1),sz00) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_65]) ).
tcf(c_19288,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10)) = sdtasdt0(sdtpldt0(X0,X1),sz10) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_65]) ).
tcf(c_19289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,smndt0(X0)),sdtasdt0(X2,smndt0(X0))) = sdtasdt0(sdtpldt0(X1,X2),smndt0(X0)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_65]) ).
tcf(c_19290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(X3,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sdtpldt0(X0,X1)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_65]) ).
tcf(c_19291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(X3,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sdtasdt0(X0,X1)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_65]) ).
tcf(c_19292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElement0(sK14(X4,X5))
| ( sdtpldt0(sdtasdt0(X2,sK13(X4,X5,X0,X1)),sdtasdt0(X3,sK13(X4,X5,X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK13(X4,X5,X0,X1)) )
| ~ aIdeal0(X5)
| ~ aIdeal0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_65]) ).
tcf(c_19293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sK15(X0,X1)),sdtasdt0(X3,sK15(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK15(X0,X1)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_65]) ).
tcf(c_19294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sK16(X0,X1)),sdtasdt0(X3,sK16(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK16(X0,X1)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_65]) ).
tcf(c_19295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK17(X0,X1)),sdtasdt0(X3,sK17(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK17(X0,X1)) )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_65]) ).
tcf(c_19296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X1,xa)) = sdtasdt0(sdtpldt0(X0,X1),xa) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_139,c_65]) ).
tcf(c_19297,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xb),sdtasdt0(X1,xb)) = sdtasdt0(sdtpldt0(X0,X1),xb) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_65]) ).
tcf(c_19298,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(sz00,sz00)),sdtasdt0(X1,sK21(sz00,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sK21(sz00,sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7607,c_65]) ).
tcf(c_19299,plain,
! [X0: $i,X1: $i,X2: $i] :
( aIdeal0(X2)
| ( sdtpldt0(sdtasdt0(X0,sK10(X2)),sdtasdt0(X1,sK10(X2))) = sdtasdt0(sdtpldt0(X0,X1),sK10(X2)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_65]) ).
tcf(c_19300,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X1,smndt0(xa))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xa)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8413,c_65]) ).
tcf(c_19301,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xb)),sdtasdt0(X1,smndt0(xb))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xb)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15201,c_65]) ).
tcf(c_19302,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(xa,sz00)),sdtasdt0(X1,sK21(xa,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sK21(xa,sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7467,c_65]) ).
tcf(c_19303,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(xa,xa)),sdtasdt0(X1,sK21(xa,xa))) = sdtasdt0(sdtpldt0(X0,X1),sK21(xa,xa)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7466,c_65]) ).
tcf(c_19304,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(xb,sz00)),sdtasdt0(X1,sK21(xb,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sK21(xb,sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7465,c_65]) ).
tcf(c_19305,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(xb,xb)),sdtasdt0(X1,sK21(xb,xb))) = sdtasdt0(sdtpldt0(X0,X1),sK21(xb,xb)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_7464,c_65]) ).
tcf(c_19306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK20(X0,xI)),sdtasdt0(X2,sK20(X0,xI))) = sdtasdt0(sdtpldt0(X1,X2),sK20(X0,xI)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_65]) ).
tcf(c_19307,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xc),sdtasdt0(X1,xc)) = sdtasdt0(sdtpldt0(X0,X1),xc) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8521,c_65]) ).
tcf(c_19308,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(xc,sz00)),sdtasdt0(X1,sK21(xc,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sK21(xc,sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8638,c_65]) ).
tcf(c_19309,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(xc,xc)),sdtasdt0(X1,sK21(xc,xc))) = sdtasdt0(sdtpldt0(X0,X1),sK21(xc,xc)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11190,c_65]) ).
tcf(c_19316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = xI )
| ( sK2(xI,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK3(xI,X2)),sdtasdt0(X1,sK3(xI,X2))) = sdtasdt0(sdtpldt0(X0,X1),sK3(xI,X2)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_65]) ).
tcf(c_19317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = xI )
| ( sK3(X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK2(X2,xI)),sdtasdt0(X1,sK2(X2,xI))) = sdtasdt0(sdtpldt0(X0,X1),sK2(X2,xI)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_65]) ).
tcf(c_19593,plain,
! [X0: $i,X1: $i,X2: $i] :
( aGcdOfAnd0(X0,X1,X2)
| doDivides0(sK18(X1,X2,X0),X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aDivisorOf0(X0,X2)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_124,c_122]) ).
tcf(c_19594,plain,
! [X0: $i,X1: $i,X2: $i] :
( aGcdOfAnd0(X0,X1,X2)
| aElement0(sK18(X1,X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aDivisorOf0(X0,X2)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_124,c_121]) ).
tcf(c_19641,plain,
! [X0: $i,X1: $i,X2: $i] :
( aGcdOfAnd0(X0,X1,X2)
| doDivides0(sK18(X1,X2,X0),X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aDivisorOf0(X0,X2)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_125,c_122]) ).
tcf(c_19649,plain,
doDivides0(smndt0(xb),sz00),
inference(global_subsumption_just,[status(thm)],[c_7310,c_7310,c_15201]) ).
tcf(c_19651,plain,
( ( sdtasdt0(smndt0(xb),sK17(smndt0(xb),sz00)) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_19649,c_119]) ).
tcf(c_19652,plain,
( aDivisorOf0(smndt0(xb),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_19649,c_120]) ).
tcf(c_19653,plain,
aDivisorOf0(smndt0(xb),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_19652,c_49,c_15201]) ).
tcf(c_19654,plain,
sdtasdt0(smndt0(xb),sK17(smndt0(xb),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19651,c_49,c_15201]) ).
tcf(c_19673,plain,
doDivides0(smndt0(xa),sz00),
inference(global_subsumption_just,[status(thm)],[c_7313,c_7313,c_8413]) ).
tcf(c_19675,plain,
( ( sdtasdt0(smndt0(xa),sK17(smndt0(xa),sz00)) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19673,c_119]) ).
tcf(c_19676,plain,
( aDivisorOf0(smndt0(xa),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_19673,c_120]) ).
tcf(c_19677,plain,
aDivisorOf0(smndt0(xa),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_19676,c_49,c_8413]) ).
tcf(c_19678,plain,
sdtasdt0(smndt0(xa),sK17(smndt0(xa),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19675,c_49,c_8413]) ).
tcf(c_20197,plain,
( ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sz00,xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_13997]) ).
tcf(c_20198,plain,
( ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sz10,xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_13997]) ).
tcf(c_20199,plain,
! [X0: $i] :
( ( slsdtgt0(smndt0(X0)) = xI )
| ( sK19(smndt0(X0),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(smndt0(X0),xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_13997]) ).
tcf(c_20200,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtpldt0(X0,X1)) = xI )
| ( sK19(sdtpldt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sdtpldt0(X0,X1),xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_13997]) ).
tcf(c_20201,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtasdt0(X0,X1)) = xI )
| ( sK19(sdtasdt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sdtasdt0(X0,X1),xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_13997]) ).
tcf(c_20202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( slsdtgt0(sK13(X2,X3,X0,X1)) = xI )
| ( sK19(sK13(X2,X3,X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK13(X2,X3,X0,X1),xI))) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_13997]) ).
tcf(c_20203,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK15(X0,X1)) = xI )
| ( sK19(sK15(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK15(X0,X1),xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_13997]) ).
tcf(c_20204,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK16(X0,X1)) = xI )
| ( sK19(sK16(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK16(X0,X1),xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_13997]) ).
tcf(c_20205,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sK17(X0,X1)) = xI )
| ( sK19(sK17(X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK17(X0,X1),xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_13997]) ).
tcf(c_20206,plain,
( ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(xa,xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_13997]) ).
tcf(c_20207,plain,
( ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(xb,xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_13997]) ).
tcf(c_20208,plain,
( ( slsdtgt0(sK21(sz00,sz00)) = xI )
| ( sK19(sK21(sz00,sz00),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(sz00,sz00),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_13997]) ).
tcf(c_20209,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( slsdtgt0(sK10(X0)) = xI )
| ( sK19(sK10(X0),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK10(X0),xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_13997]) ).
tcf(c_20210,plain,
( ( slsdtgt0(smndt0(xa)) = xI )
| ( sK19(smndt0(xa),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(smndt0(xa),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_13997]) ).
tcf(c_20211,plain,
( ( slsdtgt0(smndt0(xb)) = xI )
| ( sK19(smndt0(xb),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(smndt0(xb),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_13997]) ).
tcf(c_20212,plain,
( ( slsdtgt0(sK21(xa,sz00)) = xI )
| ( sK19(sK21(xa,sz00),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(xa,sz00),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_13997]) ).
tcf(c_20213,plain,
( ( slsdtgt0(sK21(xa,xa)) = xI )
| ( sK19(sK21(xa,xa),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(xa,xa),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_13997]) ).
tcf(c_20214,plain,
( ( slsdtgt0(sK21(xb,sz00)) = xI )
| ( sK19(sK21(xb,sz00),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(xb,sz00),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_13997]) ).
tcf(c_20215,plain,
( ( slsdtgt0(sK21(xb,xb)) = xI )
| ( sK19(sK21(xb,xb),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(xb,xb),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_13997]) ).
tcf(c_20216,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( slsdtgt0(sK20(X0,xI)) = xI )
| ( sK19(sK20(X0,xI),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK20(X0,xI),xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_13997]) ).
tcf(c_20217,plain,
( ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(xc,xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_13997]) ).
tcf(c_20218,plain,
( ( slsdtgt0(sK21(xc,sz00)) = xI )
| ( sK19(sK21(xc,sz00),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(xc,sz00),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_13997]) ).
tcf(c_20219,plain,
( ( slsdtgt0(sK21(xc,xc)) = xI )
| ( sK19(sK21(xc,xc),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(xc,xc),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_13997]) ).
tcf(c_20226,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( slsdtgt0(sK3(xI,X0)) = xI )
| ( sK19(sK3(xI,X0),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK3(xI,X0),xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_13997]) ).
tcf(c_20227,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( slsdtgt0(sK2(X0,xI)) = xI )
| ( sK19(sK2(X0,xI),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK2(X0,xI),xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_13997]) ).
tcf(c_20459,plain,
( ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sz00,xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_13998]) ).
tcf(c_20460,plain,
( ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sz10,xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_13998]) ).
tcf(c_20461,plain,
! [X0: $i] :
( ( slsdtgt0(smndt0(X0)) = xI )
| ( sK19(smndt0(X0),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(smndt0(X0),xI)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_13998]) ).
tcf(c_20462,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtpldt0(X0,X1)) = xI )
| ( sK19(sdtpldt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sdtpldt0(X0,X1),xI)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_13998]) ).
tcf(c_20463,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtasdt0(X0,X1)) = xI )
| ( sK19(sdtasdt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sdtasdt0(X0,X1),xI)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_13998]) ).
tcf(c_20464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( slsdtgt0(sK13(X2,X3,X0,X1)) = xI )
| ( sK19(sK13(X2,X3,X0,X1),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK13(X2,X3,X0,X1),xI)),sz00) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_13998]) ).
tcf(c_20465,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK15(X0,X1)) = xI )
| ( sK19(sK15(X0,X1),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK15(X0,X1),xI)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_13998]) ).
tcf(c_20466,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK16(X0,X1)) = xI )
| ( sK19(sK16(X0,X1),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK16(X0,X1),xI)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_13998]) ).
tcf(c_20467,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sK17(X0,X1)) = xI )
| ( sK19(sK17(X0,X1),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK17(X0,X1),xI)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_13998]) ).
tcf(c_20468,plain,
( ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(xa,xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_13998]) ).
tcf(c_20469,plain,
( ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(xb,xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_13998]) ).
tcf(c_20470,plain,
( ( slsdtgt0(sK21(sz00,sz00)) = xI )
| ( sK19(sK21(sz00,sz00),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(sz00,sz00),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_13998]) ).
tcf(c_20471,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( slsdtgt0(sK10(X0)) = xI )
| ( sK19(sK10(X0),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK10(X0),xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_13998]) ).
tcf(c_20472,plain,
( ( slsdtgt0(smndt0(xa)) = xI )
| ( sK19(smndt0(xa),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(smndt0(xa),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_13998]) ).
tcf(c_20473,plain,
( ( slsdtgt0(smndt0(xb)) = xI )
| ( sK19(smndt0(xb),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(smndt0(xb),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_13998]) ).
tcf(c_20474,plain,
( ( slsdtgt0(sK21(xa,sz00)) = xI )
| ( sK19(sK21(xa,sz00),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(xa,sz00),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_13998]) ).
tcf(c_20475,plain,
( ( slsdtgt0(sK21(xa,xa)) = xI )
| ( sK19(sK21(xa,xa),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(xa,xa),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_13998]) ).
tcf(c_20476,plain,
( ( slsdtgt0(sK21(xb,sz00)) = xI )
| ( sK19(sK21(xb,sz00),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(xb,sz00),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_13998]) ).
tcf(c_20477,plain,
( ( slsdtgt0(sK21(xb,xb)) = xI )
| ( sK19(sK21(xb,xb),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(xb,xb),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_13998]) ).
tcf(c_20478,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( slsdtgt0(sK20(X0,xI)) = xI )
| ( sK19(sK20(X0,xI),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK20(X0,xI),xI)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_13998]) ).
tcf(c_20479,plain,
( ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(xc,xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_13998]) ).
tcf(c_20480,plain,
( ( slsdtgt0(sK21(xc,sz00)) = xI )
| ( sK19(sK21(xc,sz00),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(xc,sz00),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_13998]) ).
tcf(c_20481,plain,
( ( slsdtgt0(sK21(xc,xc)) = xI )
| ( sK19(sK21(xc,xc),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(xc,xc),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_13998]) ).
tcf(c_20488,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( slsdtgt0(sK3(xI,X0)) = xI )
| ( sK19(sK3(xI,X0),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK3(xI,X0),xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_13998]) ).
tcf(c_20489,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( slsdtgt0(sK2(X0,xI)) = xI )
| ( sK19(sK2(X0,xI),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK2(X0,xI),xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_13998]) ).
tcf(c_20921,plain,
( aElementOf0(sz00,slsdtgt0(sK21(xb,xb)))
| ~ aElement0(sz00)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_8002,c_135]) ).
tcf(c_20922,plain,
( doDivides0(sK21(xb,xb),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_8002,c_227]) ).
tcf(c_20926,plain,
doDivides0(sK21(xb,xb),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20922,c_49,c_7464]) ).
tcf(c_20927,plain,
aElementOf0(sz00,slsdtgt0(sK21(xb,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_20921,c_49,c_7464]) ).
tcf(c_20952,plain,
! [X0: $i,X1: $i] :
( aElement0(sK13(slsdtgt0(xa),slsdtgt0(xb),X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aIdeal0(slsdtgt0(xb))
| ~ aIdeal0(slsdtgt0(xa))
| ~ aElementOf0(sK14(slsdtgt0(xa),slsdtgt0(xb)),xI) ),
inference(superposition,[status(thm)],[c_144,c_108]) ).
tcf(c_20970,plain,
! [X0: $i,X1: $i] :
( aElement0(sK19(X0,X1))
| ( slsdtgt0(X0) = X1 )
| ( sdtasdt0(X0,sK20(X0,X1)) = sK19(X0,X1) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_72]) ).
tcf(c_20971,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK19(X2,sdtasasdt0(X0,X1)),X1)
| ( sdtasasdt0(X0,X1) = slsdtgt0(X2) )
| ( sdtasdt0(X2,sK20(X2,sdtasasdt0(X0,X1))) = sK19(X2,sdtasasdt0(X0,X1)) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_95]) ).
tcf(c_20972,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK19(X2,sdtasasdt0(X0,X1)),X0)
| ( sdtasasdt0(X0,X1) = slsdtgt0(X2) )
| ( sdtasdt0(X2,sK20(X2,sdtasasdt0(X0,X1))) = sK19(X2,sdtasasdt0(X0,X1)) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_133,c_94]) ).
tcf(c_20973,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = slsdtgt0(X1) )
| ( sdtasdt0(X1,sK20(X1,slsdtgt0(X0))) = sK19(X1,slsdtgt0(X0)) )
| ( sdtasdt0(X0,sK21(X0,sK19(X1,slsdtgt0(X0)))) = sK19(X1,slsdtgt0(X0)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_133,c_137]) ).
tcf(c_20974,plain,
! [X0: $i,X1: $i] :
( aElement0(sK21(X0,sK19(X1,slsdtgt0(X0))))
| ( slsdtgt0(X0) = slsdtgt0(X1) )
| ( sdtasdt0(X1,sK20(X1,slsdtgt0(X0))) = sK19(X1,slsdtgt0(X0)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_133,c_136]) ).
tcf(c_20976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X2) = xI )
| ( sdtasdt0(X2,sK20(X2,xI)) = sK19(X2,xI) )
| ( sdtasdt0(X3,sdtpldt0(sdtpldt0(sK19(X2,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_133,c_9694]) ).
tcf(c_20977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,sK19(X1,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_133,c_9732]) ).
tcf(c_20978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,sK19(X1,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_133,c_9688]) ).
tcf(c_20979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(sK19(X1,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_133,c_9297]) ).
tcf(c_20980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X2) = xI )
| ( sdtasdt0(X2,sK20(X2,xI)) = sK19(X2,xI) )
| ( sdtpldt0(sdtpldt0(sK19(X2,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_133,c_9669]) ).
tcf(c_20981,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtpldt0(sdtasdt0(X2,sK19(X1,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_133,c_9664]) ).
tcf(c_20982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtasdt0(X2,sdtpldt0(sK19(X1,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_133,c_9287]) ).
tcf(c_20983,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtpldt0(sK19(X1,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_133,c_9278]) ).
tcf(c_20984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_9179]) ).
tcf(c_20985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_9147]) ).
tcf(c_20986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_9118]) ).
tcf(c_20987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_9092]) ).
tcf(c_20988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_9069]) ).
tcf(c_20989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_9049]) ).
tcf(c_20990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_9032]) ).
tcf(c_20991,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X1,sK19(X0,xI)) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_8838]) ).
tcf(c_20992,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_5224]) ).
tcf(c_20998,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20992,c_6772]) ).
tcf(c_21003,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X1,sK19(X0,xI)) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20991,c_6772]) ).
tcf(c_21009,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtpldt0(sK19(X1,xI),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20983,c_6772]) ).
tcf(c_21021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20990,c_6772]) ).
tcf(c_21028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtasdt0(X2,sdtpldt0(sK19(X1,xI),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20982,c_6772]) ).
tcf(c_21035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtpldt0(sdtasdt0(X2,sK19(X1,xI)),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20981,c_6772]) ).
tcf(c_21042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slsdtgt0(X2) = xI )
| ( sdtasdt0(X2,sK20(X2,xI)) = sK19(X2,xI) )
| ( sdtpldt0(sdtpldt0(sK19(X2,xI),X0),X1) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20980,c_6772]) ).
tcf(c_21049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20989,c_6772]) ).
tcf(c_21077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(sK19(X1,xI),X0))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20979,c_6772]) ).
tcf(c_21085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,sK19(X1,xI)),X0)) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20978,c_6772]) ).
tcf(c_21093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X1) = xI )
| ( sdtasdt0(X1,sK20(X1,xI)) = sK19(X1,xI) )
| ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,sK19(X1,xI))),X0) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20977,c_6772]) ).
tcf(c_21108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( slsdtgt0(X2) = xI )
| ( sdtasdt0(X2,sK20(X2,xI)) = sK19(X2,xI) )
| ( sdtasdt0(X3,sdtpldt0(sdtpldt0(sK19(X2,xI),X0),X1)) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20976,c_6772]) ).
tcf(c_21116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20988,c_6772]) ).
tcf(c_21125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20987,c_6772]) ).
tcf(c_21135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20986,c_6772]) ).
tcf(c_21146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI)))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20985,c_6772]) ).
tcf(c_21158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( slsdtgt0(X0) = xI )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK19(X0,xI))))))))) = sz00 )
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20984,c_6772]) ).
tcf(c_21236,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK9(X0,X1,X2))
| aElementOf0(sK9(X0,X1,X2),X0)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_72]) ).
tcf(c_21237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,sdtasasdt0(X0,X1)),X2)
| aElementOf0(sK9(X2,X3,sdtasasdt0(X0,X1)),X1)
| ( sdtasasdt0(X0,X1) = sdtasasdt0(X2,X3) )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_95]) ).
tcf(c_21238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,sdtasasdt0(X0,X1)),X2)
| aElementOf0(sK9(X2,X3,sdtasasdt0(X0,X1)),X0)
| ( sdtasasdt0(X0,X1) = sdtasasdt0(X2,X3) )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_94]) ).
tcf(c_21239,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,slsdtgt0(X0)),X1)
| ( sdtasasdt0(X1,X2) = slsdtgt0(X0) )
| ( sdtasdt0(X0,sK21(X0,sK9(X1,X2,slsdtgt0(X0)))) = sK9(X1,X2,slsdtgt0(X0)) )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_90,c_137]) ).
tcf(c_21240,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,slsdtgt0(X0)),X1)
| aElement0(sK21(X0,sK9(X1,X2,slsdtgt0(X0))))
| ( sdtasasdt0(X1,X2) = slsdtgt0(X0) )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_90,c_136]) ).
tcf(c_21242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(X3,X4,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9694]) ).
tcf(c_21243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(X3,X4,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9732]) ).
tcf(c_21244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(X3,X4,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9688]) ).
tcf(c_21245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(X3,X4,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9297]) ).
tcf(c_21246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X2)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtpldt0(sdtpldt0(sK9(X2,X3,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9669]) ).
tcf(c_21247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X2)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtpldt0(sdtasdt0(X1,sK9(X2,X3,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9664]) ).
tcf(c_21248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X2)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtasdt0(X1,sdtpldt0(sK9(X2,X3,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9287]) ).
tcf(c_21249,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,xI),X1)
| ( sdtasasdt0(X1,X2) = xI )
| ( sdtpldt0(sK9(X1,X2,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9278]) ).
tcf(c_21250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( aElementOf0(sK9(X8,X9,xI),X8)
| ( sdtasasdt0(X8,X9) = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X8,X9,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X9)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9179]) ).
tcf(c_21251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK9(X7,X8,xI),X7)
| ( sdtasasdt0(X7,X8) = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X7,X8,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9147]) ).
tcf(c_21252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK9(X6,X7,xI),X6)
| ( sdtasasdt0(X6,X7) = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X6,X7,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9118]) ).
tcf(c_21253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK9(X5,X6,xI),X5)
| ( sdtasasdt0(X5,X6) = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X5,X6,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9092]) ).
tcf(c_21254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK9(X4,X5,xI),X4)
| ( sdtasasdt0(X4,X5) = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X4,X5,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9069]) ).
tcf(c_21255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X3,X4,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9049]) ).
tcf(c_21256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X2)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(X2,X3,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9032]) ).
tcf(c_21257,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,xI),X1)
| ( sdtasasdt0(X1,X2) = xI )
| ( sdtasdt0(X0,sK9(X1,X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_8838]) ).
tcf(c_21258,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK9(X0,X1,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_5224]) ).
tcf(c_21259,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK9(X0,X1,X2))
| aElementOf0(sK9(X0,X1,X2),X2)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_72]) ).
tcf(c_21260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(sdtasasdt0(X0,X1),X2,X3),X3)
| aElementOf0(sK9(sdtasasdt0(X0,X1),X2,X3),X1)
| ( sdtasasdt0(sdtasasdt0(X0,X1),X2) = X3 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_95]) ).
tcf(c_21261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(sdtasasdt0(X0,X1),X2,X3),X3)
| aElementOf0(sK9(sdtasasdt0(X0,X1),X2,X3),X0)
| ( sdtasasdt0(sdtasasdt0(X0,X1),X2) = X3 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_94]) ).
tcf(c_21262,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(slsdtgt0(X0),X1,X2),X2)
| ( sdtasasdt0(slsdtgt0(X0),X1) = X2 )
| ( sdtasdt0(X0,sK21(X0,sK9(slsdtgt0(X0),X1,X2))) = sK9(slsdtgt0(X0),X1,X2) )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_90,c_137]) ).
tcf(c_21263,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(slsdtgt0(X0),X1,X2),X2)
| aElement0(sK21(X0,sK9(slsdtgt0(X0),X1,X2)))
| ( sdtasasdt0(slsdtgt0(X0),X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_90,c_136]) ).
tcf(c_21265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(xI,X3,X4),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9694]) ).
tcf(c_21266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(xI,X3,X4))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9732]) ).
tcf(c_21267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(xI,X3,X4)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9688]) ).
tcf(c_21268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(xI,X3,X4),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9297]) ).
tcf(c_21269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(xI,X2,X3),X3)
| ( sdtasasdt0(xI,X2) = X3 )
| ( sdtpldt0(sdtpldt0(sK9(xI,X2,X3),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9669]) ).
tcf(c_21270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(xI,X2,X3),X3)
| ( sdtasasdt0(xI,X2) = X3 )
| ( sdtpldt0(sdtasdt0(X1,sK9(xI,X2,X3)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9664]) ).
tcf(c_21271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(xI,X2,X3),X3)
| ( sdtasasdt0(xI,X2) = X3 )
| ( sdtasdt0(X1,sdtpldt0(sK9(xI,X2,X3),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9287]) ).
tcf(c_21272,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X1,X2),X2)
| ( sdtasasdt0(xI,X1) = X2 )
| ( sdtpldt0(sK9(xI,X1,X2),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_90,c_9278]) ).
tcf(c_21273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( aElementOf0(sK9(xI,X8,X9),X9)
| ( sdtasasdt0(xI,X8) = X9 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X8,X9))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X9)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9179]) ).
tcf(c_21274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK9(xI,X7,X8),X8)
| ( sdtasasdt0(xI,X7) = X8 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X7,X8)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9147]) ).
tcf(c_21275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK9(xI,X6,X7),X7)
| ( sdtasasdt0(xI,X6) = X7 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X6,X7))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9118]) ).
tcf(c_21276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK9(xI,X5,X6),X6)
| ( sdtasasdt0(xI,X5) = X6 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X5,X6)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9092]) ).
tcf(c_21277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK9(xI,X4,X5),X5)
| ( sdtasasdt0(xI,X4) = X5 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X4,X5))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9069]) ).
tcf(c_21278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X3,X4)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9049]) ).
tcf(c_21279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(xI,X2,X3),X3)
| ( sdtasasdt0(xI,X2) = X3 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X2,X3))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_9032]) ).
tcf(c_21280,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X1,X2),X2)
| ( sdtasasdt0(xI,X1) = X2 )
| ( sdtasdt0(X0,sK9(xI,X1,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_90,c_8838]) ).
tcf(c_21281,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK9(xI,X0,X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_5224]) ).
tcf(c_21282,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,X0),X0)
| ( sdtasasdt0(X0,X1) = X0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_factoring,[status(thm)],[c_90]) ).
tcf(c_21300,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK9(xI,X0,X1) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21281,c_6772]) ).
tcf(c_21306,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK9(X0,X1,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21258,c_6772]) ).
tcf(c_21312,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X1,X2),X2)
| ( sdtasasdt0(xI,X1) = X2 )
| ( sdtasdt0(X0,sK9(xI,X1,X2)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21280,c_6772]) ).
tcf(c_21319,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,xI),X1)
| ( sdtasasdt0(X1,X2) = xI )
| ( sdtasdt0(X0,sK9(X1,X2,xI)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21257,c_6772]) ).
tcf(c_21326,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X1,X2),X2)
| ( sdtasasdt0(xI,X1) = X2 )
| ( sdtpldt0(sK9(xI,X1,X2),X0) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21272,c_6772]) ).
tcf(c_21333,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,xI),X1)
| ( sdtasasdt0(X1,X2) = xI )
| ( sdtpldt0(sK9(X1,X2,xI),X0) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21249,c_6772]) ).
tcf(c_21354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(xI,X2,X3),X3)
| ( sdtasasdt0(xI,X2) = X3 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X2,X3))) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21279,c_6772]) ).
tcf(c_21362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X2)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(X2,X3,xI))) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21256,c_6772]) ).
tcf(c_21370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(xI,X2,X3),X3)
| ( sdtasasdt0(xI,X2) = X3 )
| ( sdtasdt0(X1,sdtpldt0(sK9(xI,X2,X3),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21271,c_6772]) ).
tcf(c_21378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(xI,X2,X3),X3)
| ( sdtasasdt0(xI,X2) = X3 )
| ( sdtpldt0(sdtasdt0(X1,sK9(xI,X2,X3)),X0) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21270,c_6772]) ).
tcf(c_21386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X2)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtasdt0(X1,sdtpldt0(sK9(X2,X3,xI),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21248,c_6772]) ).
tcf(c_21394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X2)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtpldt0(sdtasdt0(X1,sK9(X2,X3,xI)),X0) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21247,c_6772]) ).
tcf(c_21402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(xI,X2,X3),X3)
| ( sdtasasdt0(xI,X2) = X3 )
| ( sdtpldt0(sdtpldt0(sK9(xI,X2,X3),X0),X1) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21269,c_6772]) ).
tcf(c_21410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X2)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtpldt0(sdtpldt0(sK9(X2,X3,xI),X0),X1) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21246,c_6772]) ).
tcf(c_21450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X3,X4)))) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21278,c_6772]) ).
tcf(c_21466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X3,X4,xI)))) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21255,c_6772]) ).
tcf(c_21482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(xI,X3,X4),X0))) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21268,c_6772]) ).
tcf(c_21491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(xI,X3,X4)),X0)) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21267,c_6772]) ).
tcf(c_21500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(xI,X3,X4))),X0) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21266,c_6772]) ).
tcf(c_21517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(X3,X4,xI),X0))) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21245,c_6772]) ).
tcf(c_21526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(X3,X4,xI)),X0)) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21244,c_6772]) ).
tcf(c_21535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(X3,X4,xI))),X0) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21243,c_6772]) ).
tcf(c_21552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(xI,X3,X4),X4)
| ( sdtasasdt0(xI,X3) = X4 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(xI,X3,X4),X0),X1)) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21265,c_6772]) ).
tcf(c_21561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X3)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(X3,X4,xI),X0),X1)) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21242,c_6772]) ).
tcf(c_21570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK9(xI,X4,X5),X5)
| ( sdtasasdt0(xI,X4) = X5 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X4,X5))))) = sz00 )
| ~ aSet0(X5)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21277,c_6772]) ).
tcf(c_21580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK9(X4,X5,xI),X4)
| ( sdtasasdt0(X4,X5) = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X4,X5,xI))))) = sz00 )
| ~ aSet0(X5)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21254,c_6772]) ).
tcf(c_21590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK9(xI,X5,X6),X6)
| ( sdtasasdt0(xI,X5) = X6 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X5,X6)))))) = sz00 )
| ~ aSet0(X6)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21276,c_6772]) ).
tcf(c_21601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK9(X5,X6,xI),X5)
| ( sdtasasdt0(X5,X6) = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X5,X6,xI)))))) = sz00 )
| ~ aSet0(X6)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21253,c_6772]) ).
tcf(c_21612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK9(xI,X6,X7),X7)
| ( sdtasasdt0(xI,X6) = X7 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X6,X7))))))) = sz00 )
| ~ aSet0(X7)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21275,c_6772]) ).
tcf(c_21624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK9(X6,X7,xI),X6)
| ( sdtasasdt0(X6,X7) = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X6,X7,xI))))))) = sz00 )
| ~ aSet0(X7)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21252,c_6772]) ).
tcf(c_21636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK9(xI,X7,X8),X8)
| ( sdtasasdt0(xI,X7) = X8 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X7,X8)))))))) = sz00 )
| ~ aSet0(X8)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21274,c_6772]) ).
tcf(c_21649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK9(X7,X8,xI),X7)
| ( sdtasasdt0(X7,X8) = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X7,X8,xI)))))))) = sz00 )
| ~ aSet0(X8)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21251,c_6772]) ).
tcf(c_21662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( aElementOf0(sK9(xI,X8,X9),X9)
| ( sdtasasdt0(xI,X8) = X9 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X8,X9))))))))) = sz00 )
| ~ aSet0(X9)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21273,c_6772]) ).
tcf(c_21676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( aElementOf0(sK9(X8,X9,xI),X8)
| ( sdtasasdt0(X8,X9) = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X8,X9,xI))))))))) = sz00 )
| ~ aSet0(X9)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21250,c_6772]) ).
tcf(c_21849,plain,
( ( sdtasdt0(sK21(xb,xb),sK17(sK21(xb,xb),sz00)) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_20926,c_119]) ).
tcf(c_21850,plain,
( aDivisorOf0(sK21(xb,xb),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_20926,c_120]) ).
tcf(c_21851,plain,
aDivisorOf0(sK21(xb,xb),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_21850,c_49,c_7464]) ).
tcf(c_21852,plain,
sdtasdt0(sK21(xb,xb),sK17(sK21(xb,xb),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21849,c_49,c_7464]) ).
tcf(c_21856,plain,
( ( sdtasdt0(sK21(xb,xb),sK21(sK21(xb,xb),sz00)) = sz00 )
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_20927,c_137]) ).
tcf(c_21857,plain,
( aElement0(sK21(sK21(xb,xb),sz00))
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_20927,c_136]) ).
tcf(c_21858,plain,
aElement0(sK21(sK21(xb,xb),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_21857,c_7464]) ).
tcf(c_21859,plain,
sdtasdt0(sK21(xb,xb),sK21(sK21(xb,xb),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21856,c_7464]) ).
tcf(c_21860,plain,
( ( slsdtgt0(sK21(sK21(xb,xb),sz00)) = xI )
| ( sK19(sK21(sK21(xb,xb),sz00),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(sK21(xb,xb),sz00),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_13998]) ).
tcf(c_21861,plain,
( ( slsdtgt0(sK21(sK21(xb,xb),sz00)) = xI )
| ( sK19(sK21(sK21(xb,xb),sz00),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(sK21(xb,xb),sz00),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_13997]) ).
tcf(c_21863,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(sK21(xb,xb),sz00)),sdtasdt0(X1,sK21(sK21(xb,xb),sz00))) = sdtasdt0(sdtpldt0(X0,X1),sK21(sK21(xb,xb),sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21858,c_65]) ).
tcf(c_21864,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(sK21(xb,xb),sz00),X0),sdtasdt0(sK21(sK21(xb,xb),sz00),X1)) = sdtasdt0(sK21(sK21(xb,xb),sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21858,c_64]) ).
tcf(c_21868,plain,
( ( slsdtgt0(sK21(sK21(xb,xb),sz00)) = xI )
| ( sK19(sK21(sK21(xb,xb),sz00),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(sK21(xb,xb),sz00),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_14002]) ).
tcf(c_21869,plain,
( ( slsdtgt0(sK21(sK21(xb,xb),sz00)) = xI )
| ( sK19(sK21(sK21(xb,xb),sz00),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(sK21(xb,xb),sz00),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_14001]) ).
tcf(c_21870,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(sK21(xb,xb),sz00),X0),X0),sK16(sK21(sK21(xb,xb),sz00),X0)) = sK21(sK21(xb,xb),sz00) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21858,c_116]) ).
tcf(c_21871,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(sK21(xb,xb),sz00),X0),X1) = sdtasdt0(sK21(sK21(xb,xb),sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21858,c_61]) ).
tcf(c_21872,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(sK21(xb,xb),sz00),X0),X1) = sdtpldt0(sK21(sK21(xb,xb),sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21858,c_55]) ).
tcf(c_21873,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sK21(xb,xb),sz00),X0) = sdtasdt0(X0,sK21(sK21(xb,xb),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21858,c_60]) ).
tcf(c_21874,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sK21(xb,xb),sz00),X0) = sdtpldt0(X0,sK21(sK21(xb,xb),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21858,c_54]) ).
tcf(c_21875,plain,
sdtasdt0(sK21(sK21(xb,xb),sz00),smndt0(sz10)) = smndt0(sK21(sK21(xb,xb),sz00)),
inference(superposition,[status(thm)],[c_21858,c_67]) ).
tcf(c_21876,plain,
sdtasdt0(smndt0(sz10),sK21(sK21(xb,xb),sz00)) = smndt0(sK21(sK21(xb,xb),sz00)),
inference(superposition,[status(thm)],[c_21858,c_66]) ).
tcf(c_21877,plain,
sdtasdt0(sz00,smndt0(sK21(sK21(xb,xb),sz00))) = sz00,
inference(superposition,[status(thm)],[c_21858,c_6856]) ).
tcf(c_21878,plain,
sdtasdt0(smndt0(sK21(sK21(xb,xb),sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_21858,c_6844]) ).
tcf(c_21879,plain,
sdtpldt0(smndt0(sK21(sK21(xb,xb),sz00)),sK21(sK21(xb,xb),sz00)) = sz00,
inference(superposition,[status(thm)],[c_21858,c_59]) ).
tcf(c_21880,plain,
sdtpldt0(sK21(sK21(xb,xb),sz00),smndt0(sK21(sK21(xb,xb),sz00))) = sz00,
inference(superposition,[status(thm)],[c_21858,c_58]) ).
tcf(c_21881,plain,
sdtasdt0(sz00,sK21(sK21(xb,xb),sz00)) = sz00,
inference(superposition,[status(thm)],[c_21858,c_69]) ).
tcf(c_21882,plain,
sdtasdt0(sK21(sK21(xb,xb),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_21858,c_68]) ).
tcf(c_21883,plain,
sdtasdt0(sz10,sK21(sK21(xb,xb),sz00)) = sK21(sK21(xb,xb),sz00),
inference(superposition,[status(thm)],[c_21858,c_63]) ).
tcf(c_21884,plain,
sdtasdt0(sK21(sK21(xb,xb),sz00),sz10) = sK21(sK21(xb,xb),sz00),
inference(superposition,[status(thm)],[c_21858,c_62]) ).
tcf(c_21885,plain,
sdtpldt0(sz00,sK21(sK21(xb,xb),sz00)) = sK21(sK21(xb,xb),sz00),
inference(superposition,[status(thm)],[c_21858,c_57]) ).
tcf(c_21886,plain,
sdtpldt0(sK21(sK21(xb,xb),sz00),sz00) = sK21(sK21(xb,xb),sz00),
inference(superposition,[status(thm)],[c_21858,c_56]) ).
tcf(c_22001,plain,
( ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sz00,xI)) = sK19(sz00,xI) ) ),
inference(superposition,[status(thm)],[c_49,c_20998]) ).
tcf(c_22002,plain,
( ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ( sdtasdt0(sz10,sK20(sz10,xI)) = sK19(sz10,xI) ) ),
inference(superposition,[status(thm)],[c_50,c_20998]) ).
tcf(c_22003,plain,
! [X0: $i] :
( ( slsdtgt0(smndt0(X0)) = xI )
| ( sK19(smndt0(X0),xI) = sz00 )
| ( sdtasdt0(smndt0(X0),sK20(smndt0(X0),xI)) = sK19(smndt0(X0),xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_20998]) ).
tcf(c_22004,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtpldt0(X0,X1)) = xI )
| ( sK19(sdtpldt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(sdtpldt0(X0,X1),sK20(sdtpldt0(X0,X1),xI)) = sK19(sdtpldt0(X0,X1),xI) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_20998]) ).
tcf(c_22005,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sdtasdt0(X0,X1)) = xI )
| ( sK19(sdtasdt0(X0,X1),xI) = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sK20(sdtasdt0(X0,X1),xI)) = sK19(sdtasdt0(X0,X1),xI) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_20998]) ).
tcf(c_22006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( slsdtgt0(sK13(X2,X3,X0,X1)) = xI )
| ( sK19(sK13(X2,X3,X0,X1),xI) = sz00 )
| ( sdtasdt0(sK13(X2,X3,X0,X1),sK20(sK13(X2,X3,X0,X1),xI)) = sK19(sK13(X2,X3,X0,X1),xI) )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_20998]) ).
tcf(c_22007,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK15(X0,X1)) = xI )
| ( sK19(sK15(X0,X1),xI) = sz00 )
| ( sdtasdt0(sK15(X0,X1),sK20(sK15(X0,X1),xI)) = sK19(sK15(X0,X1),xI) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_20998]) ).
tcf(c_22008,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( slsdtgt0(sK16(X0,X1)) = xI )
| ( sK19(sK16(X0,X1),xI) = sz00 )
| ( sdtasdt0(sK16(X0,X1),sK20(sK16(X0,X1),xI)) = sK19(sK16(X0,X1),xI) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_20998]) ).
tcf(c_22009,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(sK17(X0,X1)) = xI )
| ( sK19(sK17(X0,X1),xI) = sz00 )
| ( sdtasdt0(sK17(X0,X1),sK20(sK17(X0,X1),xI)) = sK19(sK17(X0,X1),xI) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_20998]) ).
tcf(c_22010,plain,
( ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ( sdtasdt0(xa,sK20(xa,xI)) = sK19(xa,xI) ) ),
inference(superposition,[status(thm)],[c_139,c_20998]) ).
tcf(c_22011,plain,
( ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ( sdtasdt0(xb,sK20(xb,xI)) = sK19(xb,xI) ) ),
inference(superposition,[status(thm)],[c_140,c_20998]) ).
tcf(c_22012,plain,
( ( slsdtgt0(sK21(sz00,sz00)) = xI )
| ( sK19(sK21(sz00,sz00),xI) = sz00 )
| ( sdtasdt0(sK21(sz00,sz00),sK20(sK21(sz00,sz00),xI)) = sK19(sK21(sz00,sz00),xI) ) ),
inference(superposition,[status(thm)],[c_7607,c_20998]) ).
tcf(c_22013,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( slsdtgt0(sK10(X0)) = xI )
| ( sK19(sK10(X0),xI) = sz00 )
| ( sdtasdt0(sK10(X0),sK20(sK10(X0),xI)) = sK19(sK10(X0),xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_20998]) ).
tcf(c_22014,plain,
( ( slsdtgt0(smndt0(xa)) = xI )
| ( sK19(smndt0(xa),xI) = sz00 )
| ( sdtasdt0(smndt0(xa),sK20(smndt0(xa),xI)) = sK19(smndt0(xa),xI) ) ),
inference(superposition,[status(thm)],[c_8413,c_20998]) ).
tcf(c_22015,plain,
( ( slsdtgt0(smndt0(xb)) = xI )
| ( sK19(smndt0(xb),xI) = sz00 )
| ( sdtasdt0(smndt0(xb),sK20(smndt0(xb),xI)) = sK19(smndt0(xb),xI) ) ),
inference(superposition,[status(thm)],[c_15201,c_20998]) ).
tcf(c_22016,plain,
( ( slsdtgt0(sK21(xa,sz00)) = xI )
| ( sK19(sK21(xa,sz00),xI) = sz00 )
| ( sdtasdt0(sK21(xa,sz00),sK20(sK21(xa,sz00),xI)) = sK19(sK21(xa,sz00),xI) ) ),
inference(superposition,[status(thm)],[c_7467,c_20998]) ).
tcf(c_22017,plain,
( ( slsdtgt0(sK21(xa,xa)) = xI )
| ( sK19(sK21(xa,xa),xI) = sz00 )
| ( sdtasdt0(sK21(xa,xa),sK20(sK21(xa,xa),xI)) = sK19(sK21(xa,xa),xI) ) ),
inference(superposition,[status(thm)],[c_7466,c_20998]) ).
tcf(c_22018,plain,
( ( slsdtgt0(sK21(xb,sz00)) = xI )
| ( sK19(sK21(xb,sz00),xI) = sz00 )
| ( sdtasdt0(sK21(xb,sz00),sK20(sK21(xb,sz00),xI)) = sK19(sK21(xb,sz00),xI) ) ),
inference(superposition,[status(thm)],[c_7465,c_20998]) ).
tcf(c_22019,plain,
( ( slsdtgt0(sK21(xb,xb)) = xI )
| ( sK19(sK21(xb,xb),xI) = sz00 )
| ( sdtasdt0(sK21(xb,xb),sK20(sK21(xb,xb),xI)) = sK19(sK21(xb,xb),xI) ) ),
inference(superposition,[status(thm)],[c_7464,c_20998]) ).
tcf(c_22020,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( slsdtgt0(sK20(X0,xI)) = xI )
| ( sK19(sK20(X0,xI),xI) = sz00 )
| ( sdtasdt0(sK20(X0,xI),sK20(sK20(X0,xI),xI)) = sK19(sK20(X0,xI),xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_20998]) ).
tcf(c_22021,plain,
( ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ( sdtasdt0(xc,sK20(xc,xI)) = sK19(xc,xI) ) ),
inference(superposition,[status(thm)],[c_8521,c_20998]) ).
tcf(c_22022,plain,
( ( slsdtgt0(sK21(xc,sz00)) = xI )
| ( sK19(sK21(xc,sz00),xI) = sz00 )
| ( sdtasdt0(sK21(xc,sz00),sK20(sK21(xc,sz00),xI)) = sK19(sK21(xc,sz00),xI) ) ),
inference(superposition,[status(thm)],[c_8638,c_20998]) ).
tcf(c_22023,plain,
( ( slsdtgt0(sK21(xc,xc)) = xI )
| ( sK19(sK21(xc,xc),xI) = sz00 )
| ( sdtasdt0(sK21(xc,xc),sK20(sK21(xc,xc),xI)) = sK19(sK21(xc,xc),xI) ) ),
inference(superposition,[status(thm)],[c_11190,c_20998]) ).
tcf(c_22030,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( slsdtgt0(sK3(xI,X0)) = xI )
| ( sK19(sK3(xI,X0),xI) = sz00 )
| ( sdtasdt0(sK3(xI,X0),sK20(sK3(xI,X0),xI)) = sK19(sK3(xI,X0),xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_20998]) ).
tcf(c_22031,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( slsdtgt0(sK2(X0,xI)) = xI )
| ( sK19(sK2(X0,xI),xI) = sz00 )
| ( sdtasdt0(sK2(X0,xI),sK20(sK2(X0,xI),xI)) = sK19(sK2(X0,xI),xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_20998]) ).
tcf(c_22032,plain,
( ( slsdtgt0(sK21(sK21(xb,xb),sz00)) = xI )
| ( sK19(sK21(sK21(xb,xb),sz00),xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,xb),sz00),sK20(sK21(sK21(xb,xb),sz00),xI)) = sK19(sK21(sK21(xb,xb),sz00),xI) ) ),
inference(superposition,[status(thm)],[c_21858,c_20998]) ).
tcf(c_22222,plain,
! [X0: $i,X1: $i] :
( aElement0(sK9(xI,X0,X1))
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK9(xI,X0,X1) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_72]) ).
tcf(c_22223,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X2,sdtasasdt0(X0,X1)),X1)
| ( sdtasasdt0(X0,X1) = sdtasasdt0(xI,X2) )
| ( sK9(xI,X2,sdtasasdt0(X0,X1)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21300,c_95]) ).
tcf(c_22224,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X2,sdtasasdt0(X0,X1)),X0)
| ( sdtasasdt0(X0,X1) = sdtasasdt0(xI,X2) )
| ( sK9(xI,X2,sdtasasdt0(X0,X1)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21300,c_94]) ).
tcf(c_22225,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X1) = slsdtgt0(X0) )
| ( sK9(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK9(xI,X1,slsdtgt0(X0)))) = sK9(xI,X1,slsdtgt0(X0)) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_21300,c_137]) ).
tcf(c_22226,plain,
! [X0: $i,X1: $i] :
( aElement0(sK21(X0,sK9(xI,X1,slsdtgt0(X0))))
| ( sdtasasdt0(xI,X1) = slsdtgt0(X0) )
| ( sK9(xI,X1,slsdtgt0(X0)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_21300,c_136]) ).
tcf(c_22228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(xI,X3,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_21300,c_9694]) ).
tcf(c_22229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(xI,X3,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_21300,c_9732]) ).
tcf(c_22230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(xI,X3,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_21300,c_9688]) ).
tcf(c_22231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(xI,X3,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_21300,c_9297]) ).
tcf(c_22232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,X2) = xI )
| ( sK9(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK9(xI,X2,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_21300,c_9669]) ).
tcf(c_22233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,X2) = xI )
| ( sK9(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK9(xI,X2,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_21300,c_9664]) ).
tcf(c_22234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,X2) = xI )
| ( sK9(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK9(xI,X2,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_21300,c_9287]) ).
tcf(c_22235,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X1) = xI )
| ( sK9(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK9(xI,X1,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_21300,c_9278]) ).
tcf(c_22236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sdtasasdt0(xI,X8) = xI )
| ( sK9(xI,X8,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X8,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_9179]) ).
tcf(c_22237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasasdt0(xI,X7) = xI )
| ( sK9(xI,X7,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X7,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_9147]) ).
tcf(c_22238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sdtasasdt0(xI,X6) = xI )
| ( sK9(xI,X6,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X6,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_9118]) ).
tcf(c_22239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sdtasasdt0(xI,X5) = xI )
| ( sK9(xI,X5,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X5,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_9092]) ).
tcf(c_22240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasasdt0(xI,X4) = xI )
| ( sK9(xI,X4,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X4,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_9069]) ).
tcf(c_22241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X3,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_9049]) ).
tcf(c_22242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,X2) = xI )
| ( sK9(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_9032]) ).
tcf(c_22243,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X1) = xI )
| ( sK9(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK9(xI,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_8838]) ).
tcf(c_22244,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_5224]) ).
tcf(c_22245,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22244,c_6772]) ).
tcf(c_22254,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X1) = xI )
| ( sK9(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK9(xI,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22243,c_6772]) ).
tcf(c_22260,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X1) = xI )
| ( sK9(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK9(xI,X1,xI),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22235,c_6772]) ).
tcf(c_22272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,X2) = xI )
| ( sK9(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X2,xI))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22242,c_6772]) ).
tcf(c_22279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,X2) = xI )
| ( sK9(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK9(xI,X2,xI),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22234,c_6772]) ).
tcf(c_22286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,X2) = xI )
| ( sK9(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK9(xI,X2,xI)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22233,c_6772]) ).
tcf(c_22293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,X2) = xI )
| ( sK9(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK9(xI,X2,xI),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22232,c_6772]) ).
tcf(c_22314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X3,xI)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22241,c_6772]) ).
tcf(c_22328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(xI,X3,xI),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22231,c_6772]) ).
tcf(c_22336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(xI,X3,xI)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22230,c_6772]) ).
tcf(c_22344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(xI,X3,xI))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22229,c_6772]) ).
tcf(c_22359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(xI,X3) = xI )
| ( sK9(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(xI,X3,xI),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22228,c_6772]) ).
tcf(c_22367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasasdt0(xI,X4) = xI )
| ( sK9(xI,X4,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X4,xI))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22240,c_6772]) ).
tcf(c_22376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sdtasasdt0(xI,X5) = xI )
| ( sK9(xI,X5,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X5,xI)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22239,c_6772]) ).
tcf(c_22386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sdtasasdt0(xI,X6) = xI )
| ( sK9(xI,X6,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X6,xI))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22238,c_6772]) ).
tcf(c_22397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasasdt0(xI,X7) = xI )
| ( sK9(xI,X7,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X7,xI)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22237,c_6772]) ).
tcf(c_22409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sdtasasdt0(xI,X8) = xI )
| ( sK9(xI,X8,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(xI,X8,xI))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22236,c_6772]) ).
tcf(c_22536,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,sdtasasdt0(X0,X1)) = xI )
| ( sK9(xI,sdtasasdt0(X0,X1),xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_92,c_22245]) ).
tcf(c_22537,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,slsdtgt0(X0)) = xI )
| ( sK9(xI,slsdtgt0(X0),xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_134,c_22245]) ).
tcf(c_22538,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,sdtpldt1(X0,X1)) = xI )
| ( sK9(xI,sdtpldt1(X0,X1),xI) = sz00 )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_7092,c_22245]) ).
tcf(c_22539,plain,
( ( sdtasasdt0(xI,xI) = xI )
| ( sK9(xI,xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_6772,c_22245]) ).
tcf(c_22566,plain,
! [X0: $i,X1: $i] :
( aElement0(sK9(X0,X1,xI))
| ( sdtasasdt0(X0,X1) = xI )
| ( sK9(X0,X1,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_72]) ).
tcf(c_22567,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(sdtasasdt0(X0,X1),X2,xI),X1)
| ( sdtasasdt0(sdtasasdt0(X0,X1),X2) = xI )
| ( sK9(sdtasasdt0(X0,X1),X2,xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21306,c_95]) ).
tcf(c_22568,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(sdtasasdt0(X0,X1),X2,xI),X0)
| ( sdtasasdt0(sdtasasdt0(X0,X1),X2) = xI )
| ( sK9(sdtasasdt0(X0,X1),X2,xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21306,c_94]) ).
tcf(c_22569,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(slsdtgt0(X0),X1) = xI )
| ( sK9(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK9(slsdtgt0(X0),X1,xI))) = sK9(slsdtgt0(X0),X1,xI) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_21306,c_137]) ).
tcf(c_22570,plain,
! [X0: $i,X1: $i] :
( aElement0(sK21(X0,sK9(slsdtgt0(X0),X1,xI)))
| ( sdtasasdt0(slsdtgt0(X0),X1) = xI )
| ( sK9(slsdtgt0(X0),X1,xI) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_21306,c_136]) ).
tcf(c_22628,plain,
( aElementOf0(sz00,xI)
| aElementOf0(sK9(xI,xI,xI),xI)
| ( sdtasasdt0(xI,xI) = xI )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_22539,c_90]) ).
tcf(c_22632,plain,
( aElementOf0(sz00,xI)
| aElementOf0(sK9(xI,xI,xI),xI)
| ( sdtasasdt0(xI,xI) = xI ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22628,c_6772]) ).
tcf(c_22642,plain,
( ( sdtasasdt0(xI,slsdtgt0(sz00)) = xI )
| ( sK9(xI,slsdtgt0(sz00),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_22537]) ).
tcf(c_22643,plain,
( ( sdtasasdt0(xI,slsdtgt0(sz10)) = xI )
| ( sK9(xI,slsdtgt0(sz10),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_22537]) ).
tcf(c_22644,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,slsdtgt0(smndt0(X0))) = xI )
| ( sK9(xI,slsdtgt0(smndt0(X0)),xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_22537]) ).
tcf(c_22645,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,slsdtgt0(sdtpldt0(X0,X1))) = xI )
| ( sK9(xI,slsdtgt0(sdtpldt0(X0,X1)),xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_22537]) ).
tcf(c_22646,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,slsdtgt0(sdtasdt0(X0,X1))) = xI )
| ( sK9(xI,slsdtgt0(sdtasdt0(X0,X1)),xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_22537]) ).
tcf(c_22647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasasdt0(xI,slsdtgt0(sK13(X2,X3,X0,X1))) = xI )
| ( sK9(xI,slsdtgt0(sK13(X2,X3,X0,X1)),xI) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_22537]) ).
tcf(c_22648,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK15(X0,X1))) = xI )
| ( sK9(xI,slsdtgt0(sK15(X0,X1)),xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_22537]) ).
tcf(c_22649,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK16(X0,X1))) = xI )
| ( sK9(xI,slsdtgt0(sK16(X0,X1)),xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_22537]) ).
tcf(c_22650,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,slsdtgt0(sK17(X0,X1))) = xI )
| ( sK9(xI,slsdtgt0(sK17(X0,X1)),xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_22537]) ).
tcf(c_22651,plain,
( ( sdtasasdt0(xI,slsdtgt0(xa)) = xI )
| ( sK9(xI,slsdtgt0(xa),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_22537]) ).
tcf(c_22652,plain,
( ( sdtasasdt0(xI,slsdtgt0(xb)) = xI )
| ( sK9(xI,slsdtgt0(xb),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_22537]) ).
tcf(c_22653,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(sz00,sz00))) = xI )
| ( sK9(xI,slsdtgt0(sK21(sz00,sz00)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_22537]) ).
tcf(c_22654,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasasdt0(xI,slsdtgt0(sK10(X0))) = xI )
| ( sK9(xI,slsdtgt0(sK10(X0)),xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_22537]) ).
tcf(c_22655,plain,
( ( sdtasasdt0(xI,slsdtgt0(smndt0(xa))) = xI )
| ( sK9(xI,slsdtgt0(smndt0(xa)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_22537]) ).
tcf(c_22656,plain,
( ( sdtasasdt0(xI,slsdtgt0(smndt0(xb))) = xI )
| ( sK9(xI,slsdtgt0(smndt0(xb)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_22537]) ).
tcf(c_22657,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(xa,sz00))) = xI )
| ( sK9(xI,slsdtgt0(sK21(xa,sz00)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_22537]) ).
tcf(c_22658,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(xa,xa))) = xI )
| ( sK9(xI,slsdtgt0(sK21(xa,xa)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_22537]) ).
tcf(c_22659,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(xb,sz00))) = xI )
| ( sK9(xI,slsdtgt0(sK21(xb,sz00)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_22537]) ).
tcf(c_22660,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(xb,xb))) = xI )
| ( sK9(xI,slsdtgt0(sK21(xb,xb)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_22537]) ).
tcf(c_22661,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK20(X0,xI))) = xI )
| ( sK9(xI,slsdtgt0(sK20(X0,xI)),xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_22537]) ).
tcf(c_22662,plain,
( ( sdtasasdt0(xI,slsdtgt0(xc)) = xI )
| ( sK9(xI,slsdtgt0(xc),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_22537]) ).
tcf(c_22663,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(xc,sz00))) = xI )
| ( sK9(xI,slsdtgt0(sK21(xc,sz00)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_22537]) ).
tcf(c_22664,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(xc,xc))) = xI )
| ( sK9(xI,slsdtgt0(sK21(xc,xc)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_22537]) ).
tcf(c_22671,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK3(xI,X0))) = xI )
| ( sK9(xI,slsdtgt0(sK3(xI,X0)),xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_22537]) ).
tcf(c_22672,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK2(X0,xI))) = xI )
| ( sK9(xI,slsdtgt0(sK2(X0,xI)),xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_22537]) ).
tcf(c_22673,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(sK21(xb,xb),sz00))) = xI )
| ( sK9(xI,slsdtgt0(sK21(sK21(xb,xb),sz00)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_22537]) ).
tcf(c_22871,plain,
( aElementOf0(sK19(sz00,xI),slsdtgt0(sz00))
| ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sK20(sz00,xI)) ),
inference(superposition,[status(thm)],[c_22001,c_135]) ).
tcf(c_22872,plain,
( doDivides0(sz00,sK19(sz00,xI))
| ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sK20(sz00,xI)) ),
inference(superposition,[status(thm)],[c_22001,c_227]) ).
tcf(c_22874,plain,
( aElement0(sK19(sz00,xI))
| ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sK20(sz00,xI)) ),
inference(superposition,[status(thm)],[c_22001,c_53]) ).
tcf(c_22875,plain,
! [X0: $i] :
( aElementOf0(sK19(sz00,xI),X0)
| ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(sz00,xI),X0) ),
inference(superposition,[status(thm)],[c_22001,c_103]) ).
tcf(c_22876,plain,
( aElement0(sK19(sz00,xI))
| ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ~ aElement0(sK20(sz00,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22874,c_49]) ).
tcf(c_22881,plain,
( doDivides0(sz00,sK19(sz00,xI))
| ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ~ aElement0(sK20(sz00,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22872,c_49]) ).
tcf(c_22886,plain,
( aElementOf0(sK19(sz00,xI),slsdtgt0(sz00))
| ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ~ aElement0(sK20(sz00,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22871,c_49]) ).
tcf(c_22891,plain,
! [X0: $i] :
( aElementOf0(sK19(sz00,xI),X0)
| ( slsdtgt0(sz00) = xI )
| ( sK19(sz00,xI) = sz00 )
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(sz00,xI),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22875,c_49]) ).
tcf(c_22904,plain,
( aElementOf0(sK19(sz10,xI),slsdtgt0(sz10))
| ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ~ aElement0(sz10)
| ~ aElement0(sK20(sz10,xI)) ),
inference(superposition,[status(thm)],[c_22002,c_135]) ).
tcf(c_22905,plain,
( doDivides0(sz10,sK19(sz10,xI))
| ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ~ aElement0(sz10)
| ~ aElement0(sK20(sz10,xI)) ),
inference(superposition,[status(thm)],[c_22002,c_227]) ).
tcf(c_22907,plain,
( aElement0(sK19(sz10,xI))
| ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ~ aElement0(sz10)
| ~ aElement0(sK20(sz10,xI)) ),
inference(superposition,[status(thm)],[c_22002,c_53]) ).
tcf(c_22908,plain,
! [X0: $i] :
( aElementOf0(sK19(sz10,xI),X0)
| ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ~ aElement0(sz10)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(sz10,xI),X0) ),
inference(superposition,[status(thm)],[c_22002,c_103]) ).
tcf(c_22909,plain,
( aElement0(sK19(sz10,xI))
| ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ~ aElement0(sK20(sz10,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22907,c_50]) ).
tcf(c_22914,plain,
( doDivides0(sz10,sK19(sz10,xI))
| ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ~ aElement0(sK20(sz10,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22905,c_50]) ).
tcf(c_22919,plain,
( aElementOf0(sK19(sz10,xI),slsdtgt0(sz10))
| ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ~ aElement0(sK20(sz10,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22904,c_50]) ).
tcf(c_22924,plain,
! [X0: $i] :
( aElementOf0(sK19(sz10,xI),X0)
| ( slsdtgt0(sz10) = xI )
| ( sK19(sz10,xI) = sz00 )
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(sz10,xI),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22908,c_50]) ).
tcf(c_22931,plain,
( aElementOf0(sK21(xb,xb),slsdtgt0(sz10))
| ~ aElement0(sz10)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_8003,c_135]) ).
tcf(c_22932,plain,
( doDivides0(sz10,sK21(xb,xb))
| ~ aElement0(sz10)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_8003,c_227]) ).
tcf(c_22936,plain,
doDivides0(sz10,sK21(xb,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_22932,c_50,c_7464]) ).
tcf(c_22937,plain,
aElementOf0(sK21(xb,xb),slsdtgt0(sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_22931,c_50,c_7464]) ).
tcf(c_22952,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK9(X0,X1,X2))
| aElementOf0(sK9(X0,X1,X2),X1)
| ( sdtasasdt0(X0,X1) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_72]) ).
tcf(c_22953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,sdtasasdt0(X0,X1)),X3)
| aElementOf0(sK9(X2,X3,sdtasasdt0(X0,X1)),X1)
| ( sdtasasdt0(X0,X1) = sdtasasdt0(X2,X3) )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_91,c_95]) ).
tcf(c_22954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,sdtasasdt0(X0,X1)),X3)
| aElementOf0(sK9(X2,X3,sdtasasdt0(X0,X1)),X0)
| ( sdtasasdt0(X0,X1) = sdtasasdt0(X2,X3) )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_91,c_94]) ).
tcf(c_22955,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,slsdtgt0(X0)),X2)
| ( sdtasasdt0(X1,X2) = slsdtgt0(X0) )
| ( sdtasdt0(X0,sK21(X0,sK9(X1,X2,slsdtgt0(X0)))) = sK9(X1,X2,slsdtgt0(X0)) )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_91,c_137]) ).
tcf(c_22956,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,slsdtgt0(X0)),X2)
| aElement0(sK21(X0,sK9(X1,X2,slsdtgt0(X0))))
| ( sdtasasdt0(X1,X2) = slsdtgt0(X0) )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_91,c_136]) ).
tcf(c_22958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(X3,X4,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9694]) ).
tcf(c_22959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(X3,X4,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9732]) ).
tcf(c_22960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(X3,X4,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9688]) ).
tcf(c_22961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(X3,X4,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9297]) ).
tcf(c_22962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X3)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtpldt0(sdtpldt0(sK9(X2,X3,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9669]) ).
tcf(c_22963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X3)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtpldt0(sdtasdt0(X1,sK9(X2,X3,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9664]) ).
tcf(c_22964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X3)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtasdt0(X1,sdtpldt0(sK9(X2,X3,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9287]) ).
tcf(c_22965,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,xI),X2)
| ( sdtasasdt0(X1,X2) = xI )
| ( sdtpldt0(sK9(X1,X2,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9278]) ).
tcf(c_22966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( aElementOf0(sK9(X8,X9,xI),X9)
| ( sdtasasdt0(X8,X9) = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X8,X9,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X9)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9179]) ).
tcf(c_22967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK9(X7,X8,xI),X8)
| ( sdtasasdt0(X7,X8) = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X7,X8,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9147]) ).
tcf(c_22968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK9(X6,X7,xI),X7)
| ( sdtasasdt0(X6,X7) = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X6,X7,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9118]) ).
tcf(c_22969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK9(X5,X6,xI),X6)
| ( sdtasasdt0(X5,X6) = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X5,X6,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9092]) ).
tcf(c_22970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK9(X4,X5,xI),X5)
| ( sdtasasdt0(X4,X5) = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X4,X5,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9069]) ).
tcf(c_22971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X3,X4,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9049]) ).
tcf(c_22972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X3)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(X2,X3,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9032]) ).
tcf(c_22973,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,xI),X2)
| ( sdtasasdt0(X1,X2) = xI )
| ( sdtasdt0(X0,sK9(X1,X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_8838]) ).
tcf(c_22974,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK9(X0,X1,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_5224]) ).
tcf(c_22976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,sdtasasdt0(X0,X1),X3),X3)
| aElementOf0(sK9(X2,sdtasasdt0(X0,X1),X3),X1)
| ( sdtasasdt0(X2,sdtasasdt0(X0,X1)) = X3 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_91,c_95]) ).
tcf(c_22977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,sdtasasdt0(X0,X1),X3),X3)
| aElementOf0(sK9(X2,sdtasasdt0(X0,X1),X3),X0)
| ( sdtasasdt0(X2,sdtasasdt0(X0,X1)) = X3 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_91,c_94]) ).
tcf(c_22978,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,slsdtgt0(X0),X2),X2)
| ( sdtasasdt0(X1,slsdtgt0(X0)) = X2 )
| ( sdtasdt0(X0,sK21(X0,sK9(X1,slsdtgt0(X0),X2))) = sK9(X1,slsdtgt0(X0),X2) )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_91,c_137]) ).
tcf(c_22979,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,slsdtgt0(X0),X2),X2)
| aElement0(sK21(X0,sK9(X1,slsdtgt0(X0),X2)))
| ( sdtasasdt0(X1,slsdtgt0(X0)) = X2 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_91,c_136]) ).
tcf(c_22981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(X3,xI,X4),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9694]) ).
tcf(c_22982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(X3,xI,X4))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9732]) ).
tcf(c_22983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(X3,xI,X4)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9688]) ).
tcf(c_22984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(X3,xI,X4),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9297]) ).
tcf(c_22985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,xI,X3),X3)
| ( sdtasasdt0(X2,xI) = X3 )
| ( sdtpldt0(sdtpldt0(sK9(X2,xI,X3),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9669]) ).
tcf(c_22986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,xI,X3),X3)
| ( sdtasasdt0(X2,xI) = X3 )
| ( sdtpldt0(sdtasdt0(X1,sK9(X2,xI,X3)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9664]) ).
tcf(c_22987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,xI,X3),X3)
| ( sdtasasdt0(X2,xI) = X3 )
| ( sdtasdt0(X1,sdtpldt0(sK9(X2,xI,X3),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9287]) ).
tcf(c_22988,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,xI,X2),X2)
| ( sdtasasdt0(X1,xI) = X2 )
| ( sdtpldt0(sK9(X1,xI,X2),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_91,c_9278]) ).
tcf(c_22989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( aElementOf0(sK9(X8,xI,X9),X9)
| ( sdtasasdt0(X8,xI) = X9 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X8,xI,X9))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X9)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9179]) ).
tcf(c_22990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK9(X7,xI,X8),X8)
| ( sdtasasdt0(X7,xI) = X8 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X7,xI,X8)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9147]) ).
tcf(c_22991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK9(X6,xI,X7),X7)
| ( sdtasasdt0(X6,xI) = X7 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X6,xI,X7))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9118]) ).
tcf(c_22992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK9(X5,xI,X6),X6)
| ( sdtasasdt0(X5,xI) = X6 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X5,xI,X6)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9092]) ).
tcf(c_22993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK9(X4,xI,X5),X5)
| ( sdtasasdt0(X4,xI) = X5 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X4,xI,X5))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9069]) ).
tcf(c_22994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X3,xI,X4)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9049]) ).
tcf(c_22995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,xI,X3),X3)
| ( sdtasasdt0(X2,xI) = X3 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(X2,xI,X3))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_9032]) ).
tcf(c_22996,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,xI,X2),X2)
| ( sdtasasdt0(X1,xI) = X2 )
| ( sdtasdt0(X0,sK9(X1,xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_91,c_8838]) ).
tcf(c_22997,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK9(X0,xI,X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_5224]) ).
tcf(c_22998,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,X1),X1)
| ( sdtasasdt0(X0,X1) = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(equality_factoring,[status(thm)],[c_91]) ).
tcf(c_23010,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK9(X0,xI,X1) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22997,c_6772]) ).
tcf(c_23016,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK9(X0,X1,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22974,c_6772]) ).
tcf(c_23022,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,xI,X2),X2)
| ( sdtasasdt0(X1,xI) = X2 )
| ( sdtasdt0(X0,sK9(X1,xI,X2)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22996,c_6772]) ).
tcf(c_23029,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,xI),X2)
| ( sdtasasdt0(X1,X2) = xI )
| ( sdtasdt0(X0,sK9(X1,X2,xI)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22973,c_6772]) ).
tcf(c_23036,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,xI,X2),X2)
| ( sdtasasdt0(X1,xI) = X2 )
| ( sdtpldt0(sK9(X1,xI,X2),X0) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22988,c_6772]) ).
tcf(c_23043,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X1,X2,xI),X2)
| ( sdtasasdt0(X1,X2) = xI )
| ( sdtpldt0(sK9(X1,X2,xI),X0) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22965,c_6772]) ).
tcf(c_23064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,xI,X3),X3)
| ( sdtasasdt0(X2,xI) = X3 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(X2,xI,X3))) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22995,c_6772]) ).
tcf(c_23072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X3)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(X2,X3,xI))) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22972,c_6772]) ).
tcf(c_23080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,xI,X3),X3)
| ( sdtasasdt0(X2,xI) = X3 )
| ( sdtasdt0(X1,sdtpldt0(sK9(X2,xI,X3),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22987,c_6772]) ).
tcf(c_23088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,xI,X3),X3)
| ( sdtasasdt0(X2,xI) = X3 )
| ( sdtpldt0(sdtasdt0(X1,sK9(X2,xI,X3)),X0) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22986,c_6772]) ).
tcf(c_23096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X3)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtasdt0(X1,sdtpldt0(sK9(X2,X3,xI),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22964,c_6772]) ).
tcf(c_23104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X3)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtpldt0(sdtasdt0(X1,sK9(X2,X3,xI)),X0) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22963,c_6772]) ).
tcf(c_23112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,xI,X3),X3)
| ( sdtasasdt0(X2,xI) = X3 )
| ( sdtpldt0(sdtpldt0(sK9(X2,xI,X3),X0),X1) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22985,c_6772]) ).
tcf(c_23120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK9(X2,X3,xI),X3)
| ( sdtasasdt0(X2,X3) = xI )
| ( sdtpldt0(sdtpldt0(sK9(X2,X3,xI),X0),X1) = sz00 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22962,c_6772]) ).
tcf(c_23160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X3,xI,X4)))) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22994,c_6772]) ).
tcf(c_23176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X3,X4,xI)))) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22971,c_6772]) ).
tcf(c_23192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(X3,xI,X4),X0))) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22984,c_6772]) ).
tcf(c_23201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(X3,xI,X4)),X0)) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22983,c_6772]) ).
tcf(c_23210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(X3,xI,X4))),X0) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22982,c_6772]) ).
tcf(c_23227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(X3,X4,xI),X0))) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22961,c_6772]) ).
tcf(c_23236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(X3,X4,xI)),X0)) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22960,c_6772]) ).
tcf(c_23245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(X3,X4,xI))),X0) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22959,c_6772]) ).
tcf(c_23262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,xI,X4),X4)
| ( sdtasasdt0(X3,xI) = X4 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(X3,xI,X4),X0),X1)) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22981,c_6772]) ).
tcf(c_23271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sK9(X3,X4,xI),X4)
| ( sdtasasdt0(X3,X4) = xI )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(X3,X4,xI),X0),X1)) = sz00 )
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22958,c_6772]) ).
tcf(c_23280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK9(X4,xI,X5),X5)
| ( sdtasasdt0(X4,xI) = X5 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X4,xI,X5))))) = sz00 )
| ~ aSet0(X5)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22993,c_6772]) ).
tcf(c_23290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(sK9(X4,X5,xI),X5)
| ( sdtasasdt0(X4,X5) = xI )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X4,X5,xI))))) = sz00 )
| ~ aSet0(X5)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22970,c_6772]) ).
tcf(c_23300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK9(X5,xI,X6),X6)
| ( sdtasasdt0(X5,xI) = X6 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X5,xI,X6)))))) = sz00 )
| ~ aSet0(X6)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22992,c_6772]) ).
tcf(c_23311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( aElementOf0(sK9(X5,X6,xI),X6)
| ( sdtasasdt0(X5,X6) = xI )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X5,X6,xI)))))) = sz00 )
| ~ aSet0(X6)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22969,c_6772]) ).
tcf(c_23322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK9(X6,xI,X7),X7)
| ( sdtasasdt0(X6,xI) = X7 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X6,xI,X7))))))) = sz00 )
| ~ aSet0(X7)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22991,c_6772]) ).
tcf(c_23334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( aElementOf0(sK9(X6,X7,xI),X7)
| ( sdtasasdt0(X6,X7) = xI )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X6,X7,xI))))))) = sz00 )
| ~ aSet0(X7)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22968,c_6772]) ).
tcf(c_23346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK9(X7,xI,X8),X8)
| ( sdtasasdt0(X7,xI) = X8 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X7,xI,X8)))))))) = sz00 )
| ~ aSet0(X8)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22990,c_6772]) ).
tcf(c_23359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( aElementOf0(sK9(X7,X8,xI),X8)
| ( sdtasasdt0(X7,X8) = xI )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X7,X8,xI)))))))) = sz00 )
| ~ aSet0(X8)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22967,c_6772]) ).
tcf(c_23372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( aElementOf0(sK9(X8,xI,X9),X9)
| ( sdtasasdt0(X8,xI) = X9 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X8,xI,X9))))))))) = sz00 )
| ~ aSet0(X9)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22989,c_6772]) ).
tcf(c_23386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( aElementOf0(sK9(X8,X9,xI),X9)
| ( sdtasasdt0(X8,X9) = xI )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X8,X9,xI))))))))) = sz00 )
| ~ aSet0(X9)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22966,c_6772]) ).
tcf(c_23787,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7154,c_131]) ).
tcf(c_23788,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(smndt0(xa))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7158,c_131]) ).
tcf(c_23789,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(smndt0(xb))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7159,c_131]) ).
tcf(c_23790,plain,
! [X0: $i] :
( ( slsdtgt0(sz10) = X0 )
| ~ aElement0(sz10)
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(sz10,X0),X0)
| ( sK19(sz10,X0) != smndt0(sz10) ) ),
inference(superposition,[status(thm)],[c_7254,c_131]) ).
tcf(c_23791,plain,
! [X0: $i] :
( ( slsdtgt0(xa) = X0 )
| ~ aElement0(xa)
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(xa,X0),X0)
| ( sK19(xa,X0) != smndt0(xa) ) ),
inference(superposition,[status(thm)],[c_7258,c_131]) ).
tcf(c_23792,plain,
! [X0: $i] :
( ( slsdtgt0(xb) = X0 )
| ~ aElement0(xb)
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(xb,X0),X0)
| ( sK19(xb,X0) != smndt0(xb) ) ),
inference(superposition,[status(thm)],[c_7259,c_131]) ).
tcf(c_23793,plain,
! [X0: $i] :
( ( slsdtgt0(sK21(xb,xb)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,xb))
| ~ aElementOf0(sK19(sK21(xb,xb),X0),X0)
| ( sK19(sK21(xb,xb),X0) != smndt0(sK21(xb,xb)) ) ),
inference(superposition,[status(thm)],[c_7995,c_131]) ).
tcf(c_23794,plain,
! [X0: $i] :
( ( slsdtgt0(smndt0(sz10)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,xb))
| ~ aElementOf0(sK19(smndt0(sz10),X0),X0)
| ( sK19(smndt0(sz10),X0) != smndt0(sK21(xb,xb)) ) ),
inference(superposition,[status(thm)],[c_7996,c_131]) ).
tcf(c_23795,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(smndt0(sK21(xb,xb)))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7997,c_131]) ).
tcf(c_23796,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK21(xb,xb))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8001,c_131]) ).
tcf(c_23797,plain,
! [X0: $i] :
( ( slsdtgt0(sz10) = X0 )
| ~ aElement0(sz10)
| ~ aSet0(X0)
| ~ aElement0(sK21(xb,xb))
| ~ aElementOf0(sK19(sz10,X0),X0)
| ( sK19(sz10,X0) != sK21(xb,xb) ) ),
inference(superposition,[status(thm)],[c_8003,c_131]) ).
tcf(c_23798,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = xI )
| ( slsdtgt0(sz00) = X0 )
| ( sK19(sz00,xI) = sz00 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK20(sz00,xI))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sK19(sz00,xI) ) ),
inference(superposition,[status(thm)],[c_22001,c_131]) ).
tcf(c_23799,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(smndt0(xc))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8527,c_131]) ).
tcf(c_23800,plain,
! [X0: $i] :
( ( slsdtgt0(sz10) = xI )
| ( slsdtgt0(sz10) = X0 )
| ( sK19(sz10,xI) = sz00 )
| ~ aElement0(sz10)
| ~ aSet0(X0)
| ~ aElement0(sK20(sz10,xI))
| ~ aElementOf0(sK19(sz10,X0),X0)
| ( sK19(sz10,X0) != sK19(sz10,xI) ) ),
inference(superposition,[status(thm)],[c_22002,c_131]) ).
tcf(c_23807,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23789,c_49,c_15201]) ).
tcf(c_23813,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23787,c_49]) ).
tcf(c_23820,plain,
! [X0: $i] :
( ( slsdtgt0(xb) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(xb,X0),X0)
| ( sK19(xb,X0) != smndt0(xb) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23792,c_140]) ).
tcf(c_23826,plain,
! [X0: $i] :
( ( slsdtgt0(xa) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(xa,X0),X0)
| ( sK19(xa,X0) != smndt0(xa) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23791,c_139]) ).
tcf(c_23832,plain,
! [X0: $i] :
( ( slsdtgt0(sz10) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(sz10,X0),X0)
| ( sK19(sz10,X0) != smndt0(sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23790,c_50]) ).
tcf(c_23838,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sK21(xb,xb)))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23795,c_49]) ).
tcf(c_23844,plain,
! [X0: $i] :
( ( slsdtgt0(sz10) = X0 )
| ~ aSet0(X0)
| ~ aElementOf0(sK19(sz10,X0),X0)
| ( sK19(sz10,X0) != sK21(xb,xb) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23797,c_50,c_7464]) ).
tcf(c_23849,plain,
! [X0: $i] :
( ( slsdtgt0(smndt0(sz10)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(smndt0(sz10),X0),X0)
| ( sK19(smndt0(sz10),X0) != smndt0(sK21(xb,xb)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23794,c_7464]) ).
tcf(c_23855,plain,
! [X0: $i] :
( ( slsdtgt0(sK21(xb,xb)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(sK21(xb,xb),X0),X0)
| ( sK19(sK21(xb,xb),X0) != smndt0(sK21(xb,xb)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23793,c_7464]) ).
tcf(c_23861,plain,
! [X0: $i] :
( ( slsdtgt0(sz10) = xI )
| ( slsdtgt0(sz10) = X0 )
| ( sK19(sz10,xI) = sz00 )
| ~ aSet0(X0)
| ~ aElement0(sK20(sz10,xI))
| ~ aElementOf0(sK19(sz10,X0),X0)
| ( sK19(sz10,X0) != sK19(sz10,xI) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23800,c_50]) ).
tcf(c_23869,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = xI )
| ( slsdtgt0(sz00) = X0 )
| ( sK19(sz00,xI) = sz00 )
| ~ aSet0(X0)
| ~ aElement0(sK20(sz00,xI))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sK19(sz00,xI) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23798,c_49]) ).
tcf(c_23915,plain,
( ( sdtasdt0(sz10,sK17(sz10,sK21(xb,xb))) = sK21(xb,xb) )
| ~ aElement0(sz10)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_22936,c_119]) ).
tcf(c_23916,plain,
( aDivisorOf0(sz10,sK21(xb,xb))
| ~ aElement0(sz10)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_22936,c_120]) ).
tcf(c_23917,plain,
aDivisorOf0(sz10,sK21(xb,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_23916,c_50,c_7464]) ).
tcf(c_23918,plain,
sdtasdt0(sz10,sK17(sz10,sK21(xb,xb))) = sK21(xb,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_23915,c_50,c_7464]) ).
tcf(c_23922,plain,
( ( sdtasdt0(sz10,sK21(sz10,sK21(xb,xb))) = sK21(xb,xb) )
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_22937,c_137]) ).
tcf(c_23923,plain,
( aElement0(sK21(sz10,sK21(xb,xb)))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_22937,c_136]) ).
tcf(c_23924,plain,
aElement0(sK21(sz10,sK21(xb,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_23923,c_50]) ).
tcf(c_23925,plain,
sdtasdt0(sz10,sK21(sz10,sK21(xb,xb))) = sK21(xb,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_23922,c_50]) ).
tcf(c_23926,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(sz10,sK21(xb,xb)))) = xI )
| ( sK9(xI,slsdtgt0(sK21(sz10,sK21(xb,xb))),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_22537]) ).
tcf(c_23927,plain,
( ( slsdtgt0(sK21(sz10,sK21(xb,xb))) = xI )
| ( sK19(sK21(sz10,sK21(xb,xb)),xI) = sz00 )
| ( sdtasdt0(sK21(sz10,sK21(xb,xb)),sK20(sK21(sz10,sK21(xb,xb)),xI)) = sK19(sK21(sz10,sK21(xb,xb)),xI) ) ),
inference(superposition,[status(thm)],[c_23924,c_20998]) ).
tcf(c_23928,plain,
( ( slsdtgt0(sK21(sz10,sK21(xb,xb))) = xI )
| ( sK19(sK21(sz10,sK21(xb,xb)),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(sz10,sK21(xb,xb)),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_13998]) ).
tcf(c_23929,plain,
( ( slsdtgt0(sK21(sz10,sK21(xb,xb))) = xI )
| ( sK19(sK21(sz10,sK21(xb,xb)),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(sz10,sK21(xb,xb)),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_13997]) ).
tcf(c_23931,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(sz10,sK21(xb,xb))),sdtasdt0(X1,sK21(sz10,sK21(xb,xb)))) = sdtasdt0(sdtpldt0(X0,X1),sK21(sz10,sK21(xb,xb))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23924,c_65]) ).
tcf(c_23932,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(sz10,sK21(xb,xb)),X0),sdtasdt0(sK21(sz10,sK21(xb,xb)),X1)) = sdtasdt0(sK21(sz10,sK21(xb,xb)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23924,c_64]) ).
tcf(c_23936,plain,
( ( slsdtgt0(sK21(sz10,sK21(xb,xb))) = xI )
| ( sK19(sK21(sz10,sK21(xb,xb)),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(sz10,sK21(xb,xb)),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_14002]) ).
tcf(c_23937,plain,
( ( slsdtgt0(sK21(sz10,sK21(xb,xb))) = xI )
| ( sK19(sK21(sz10,sK21(xb,xb)),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(sz10,sK21(xb,xb)),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_14001]) ).
tcf(c_23938,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(sz10,sK21(xb,xb)),X0),X0),sK16(sK21(sz10,sK21(xb,xb)),X0)) = sK21(sz10,sK21(xb,xb)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23924,c_116]) ).
tcf(c_23939,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(sz10,sK21(xb,xb)),X0),X1) = sdtasdt0(sK21(sz10,sK21(xb,xb)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23924,c_61]) ).
tcf(c_23940,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(sz10,sK21(xb,xb)),X0),X1) = sdtpldt0(sK21(sz10,sK21(xb,xb)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23924,c_55]) ).
tcf(c_23941,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sz10,sK21(xb,xb)),X0) = sdtasdt0(X0,sK21(sz10,sK21(xb,xb))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23924,c_60]) ).
tcf(c_23942,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sz10,sK21(xb,xb)),X0) = sdtpldt0(X0,sK21(sz10,sK21(xb,xb))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23924,c_54]) ).
tcf(c_23943,plain,
sdtasdt0(sK21(sz10,sK21(xb,xb)),smndt0(sz10)) = smndt0(sK21(sz10,sK21(xb,xb))),
inference(superposition,[status(thm)],[c_23924,c_67]) ).
tcf(c_23944,plain,
sdtasdt0(smndt0(sz10),sK21(sz10,sK21(xb,xb))) = smndt0(sK21(sz10,sK21(xb,xb))),
inference(superposition,[status(thm)],[c_23924,c_66]) ).
tcf(c_23945,plain,
sdtasdt0(sz00,smndt0(sK21(sz10,sK21(xb,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23924,c_6856]) ).
tcf(c_23946,plain,
sdtasdt0(smndt0(sK21(sz10,sK21(xb,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23924,c_6844]) ).
tcf(c_23947,plain,
sdtpldt0(smndt0(sK21(sz10,sK21(xb,xb))),sK21(sz10,sK21(xb,xb))) = sz00,
inference(superposition,[status(thm)],[c_23924,c_59]) ).
tcf(c_23948,plain,
sdtpldt0(sK21(sz10,sK21(xb,xb)),smndt0(sK21(sz10,sK21(xb,xb)))) = sz00,
inference(superposition,[status(thm)],[c_23924,c_58]) ).
tcf(c_23949,plain,
sdtasdt0(sz00,sK21(sz10,sK21(xb,xb))) = sz00,
inference(superposition,[status(thm)],[c_23924,c_69]) ).
tcf(c_23950,plain,
sdtasdt0(sK21(sz10,sK21(xb,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23924,c_68]) ).
tcf(c_23951,plain,
sdtasdt0(sz10,sK21(sz10,sK21(xb,xb))) = sK21(sz10,sK21(xb,xb)),
inference(superposition,[status(thm)],[c_23924,c_63]) ).
tcf(c_23952,plain,
sdtasdt0(sK21(sz10,sK21(xb,xb)),sz10) = sK21(sz10,sK21(xb,xb)),
inference(superposition,[status(thm)],[c_23924,c_62]) ).
tcf(c_23953,plain,
sdtpldt0(sz00,sK21(sz10,sK21(xb,xb))) = sK21(sz10,sK21(xb,xb)),
inference(superposition,[status(thm)],[c_23924,c_57]) ).
tcf(c_23954,plain,
sdtpldt0(sK21(sz10,sK21(xb,xb)),sz00) = sK21(sz10,sK21(xb,xb)),
inference(superposition,[status(thm)],[c_23924,c_56]) ).
tcf(c_23955,plain,
sK21(sz10,sK21(xb,xb)) = sK21(xb,xb),
inference(light_normalisation,[status(thm)],[c_23951,c_23925]) ).
tcf(c_24126,plain,
! [X0: $i,X1: $i] :
( aElement0(sK9(X0,xI,X1))
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK9(X0,xI,X1) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_72]) ).
tcf(c_24127,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X2,xI,sdtasasdt0(X0,X1)),X1)
| ( sdtasasdt0(X0,X1) = sdtasasdt0(X2,xI) )
| ( sK9(X2,xI,sdtasasdt0(X0,X1)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23010,c_95]) ).
tcf(c_24128,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X2,xI,sdtasasdt0(X0,X1)),X0)
| ( sdtasasdt0(X0,X1) = sdtasasdt0(X2,xI) )
| ( sK9(X2,xI,sdtasasdt0(X0,X1)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23010,c_94]) ).
tcf(c_24129,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X1,xI) = slsdtgt0(X0) )
| ( sK9(X1,xI,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK9(X1,xI,slsdtgt0(X0)))) = sK9(X1,xI,slsdtgt0(X0)) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_23010,c_137]) ).
tcf(c_24130,plain,
! [X0: $i,X1: $i] :
( aElement0(sK21(X0,sK9(X1,xI,slsdtgt0(X0))))
| ( sdtasasdt0(X1,xI) = slsdtgt0(X0) )
| ( sK9(X1,xI,slsdtgt0(X0)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_23010,c_136]) ).
tcf(c_24132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(X3,xI,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23010,c_9694]) ).
tcf(c_24133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(X3,xI,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23010,c_9732]) ).
tcf(c_24134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(X3,xI,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23010,c_9688]) ).
tcf(c_24135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(X3,xI,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23010,c_9297]) ).
tcf(c_24136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X2,xI) = xI )
| ( sK9(X2,xI,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK9(X2,xI,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23010,c_9669]) ).
tcf(c_24137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X2,xI) = xI )
| ( sK9(X2,xI,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK9(X2,xI,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23010,c_9664]) ).
tcf(c_24138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X2,xI) = xI )
| ( sK9(X2,xI,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK9(X2,xI,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23010,c_9287]) ).
tcf(c_24139,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X1,xI) = xI )
| ( sK9(X1,xI,xI) = sz00 )
| ( sdtpldt0(sK9(X1,xI,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23010,c_9278]) ).
tcf(c_24140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sdtasasdt0(X8,xI) = xI )
| ( sK9(X8,xI,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X8,xI,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_9179]) ).
tcf(c_24141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasasdt0(X7,xI) = xI )
| ( sK9(X7,xI,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X7,xI,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_9147]) ).
tcf(c_24142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sdtasasdt0(X6,xI) = xI )
| ( sK9(X6,xI,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X6,xI,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_9118]) ).
tcf(c_24143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sdtasasdt0(X5,xI) = xI )
| ( sK9(X5,xI,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X5,xI,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_9092]) ).
tcf(c_24144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasasdt0(X4,xI) = xI )
| ( sK9(X4,xI,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X4,xI,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_9069]) ).
tcf(c_24145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X3,xI,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_9049]) ).
tcf(c_24146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X2,xI) = xI )
| ( sK9(X2,xI,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(X2,xI,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_9032]) ).
tcf(c_24147,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X1,xI) = xI )
| ( sK9(X1,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK9(X1,xI,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_8838]) ).
tcf(c_24148,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_5224]) ).
tcf(c_24149,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24148,c_6772]) ).
tcf(c_24158,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X1,xI) = xI )
| ( sK9(X1,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK9(X1,xI,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24147,c_6772]) ).
tcf(c_24164,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X1,xI) = xI )
| ( sK9(X1,xI,xI) = sz00 )
| ( sdtpldt0(sK9(X1,xI,xI),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24139,c_6772]) ).
tcf(c_24176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X2,xI) = xI )
| ( sK9(X2,xI,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK9(X2,xI,xI))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24146,c_6772]) ).
tcf(c_24183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X2,xI) = xI )
| ( sK9(X2,xI,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK9(X2,xI,xI),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24138,c_6772]) ).
tcf(c_24190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X2,xI) = xI )
| ( sK9(X2,xI,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK9(X2,xI,xI)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24137,c_6772]) ).
tcf(c_24197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(X2,xI) = xI )
| ( sK9(X2,xI,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK9(X2,xI,xI),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24136,c_6772]) ).
tcf(c_24218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X3,xI,xI)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24145,c_6772]) ).
tcf(c_24232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK9(X3,xI,xI),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24135,c_6772]) ).
tcf(c_24240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK9(X3,xI,xI)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24134,c_6772]) ).
tcf(c_24248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK9(X3,xI,xI))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24133,c_6772]) ).
tcf(c_24263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(X3,xI) = xI )
| ( sK9(X3,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK9(X3,xI,xI),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24132,c_6772]) ).
tcf(c_24271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtasasdt0(X4,xI) = xI )
| ( sK9(X4,xI,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X4,xI,xI))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24144,c_6772]) ).
tcf(c_24280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sdtasasdt0(X5,xI) = xI )
| ( sK9(X5,xI,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X5,xI,xI)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24143,c_6772]) ).
tcf(c_24290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sdtasasdt0(X6,xI) = xI )
| ( sK9(X6,xI,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X6,xI,xI))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24142,c_6772]) ).
tcf(c_24301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasasdt0(X7,xI) = xI )
| ( sK9(X7,xI,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X7,xI,xI)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24141,c_6772]) ).
tcf(c_24313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sdtasasdt0(X8,xI) = xI )
| ( sK9(X8,xI,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK9(X8,xI,xI))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24140,c_6772]) ).
tcf(c_24364,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(sdtasasdt0(X0,X1),xI) = xI )
| ( sK9(sdtasasdt0(X0,X1),xI,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_92,c_24149]) ).
tcf(c_24365,plain,
! [X0: $i] :
( ( sdtasasdt0(slsdtgt0(X0),xI) = xI )
| ( sK9(slsdtgt0(X0),xI,xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_134,c_24149]) ).
tcf(c_24366,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(sdtpldt1(X0,X1),xI) = xI )
| ( sK9(sdtpldt1(X0,X1),xI,xI) = sz00 )
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_7092,c_24149]) ).
tcf(c_24394,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X2,sdtasasdt0(X0,X1),xI),X1)
| ( sdtasasdt0(X2,sdtasasdt0(X0,X1)) = xI )
| ( sK9(X2,sdtasasdt0(X0,X1),xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23016,c_95]) ).
tcf(c_24395,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X2,sdtasasdt0(X0,X1),xI),X0)
| ( sdtasasdt0(X2,sdtasasdt0(X0,X1)) = xI )
| ( sK9(X2,sdtasasdt0(X0,X1),xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23016,c_94]) ).
tcf(c_24396,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X1,slsdtgt0(X0)) = xI )
| ( sK9(X1,slsdtgt0(X0),xI) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK9(X1,slsdtgt0(X0),xI))) = sK9(X1,slsdtgt0(X0),xI) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_23016,c_137]) ).
tcf(c_24397,plain,
! [X0: $i,X1: $i] :
( aElement0(sK21(X0,sK9(X1,slsdtgt0(X0),xI)))
| ( sdtasasdt0(X1,slsdtgt0(X0)) = xI )
| ( sK9(X1,slsdtgt0(X0),xI) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_23016,c_136]) ).
tcf(c_24504,plain,
( ( sdtasasdt0(slsdtgt0(sz00),xI) = xI )
| ( sK9(slsdtgt0(sz00),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_24365]) ).
tcf(c_24505,plain,
( ( sdtasasdt0(slsdtgt0(sz10),xI) = xI )
| ( sK9(slsdtgt0(sz10),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_24365]) ).
tcf(c_24506,plain,
! [X0: $i] :
( ( sdtasasdt0(slsdtgt0(smndt0(X0)),xI) = xI )
| ( sK9(slsdtgt0(smndt0(X0)),xI,xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_24365]) ).
tcf(c_24507,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(slsdtgt0(sdtpldt0(X0,X1)),xI) = xI )
| ( sK9(slsdtgt0(sdtpldt0(X0,X1)),xI,xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_24365]) ).
tcf(c_24508,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(slsdtgt0(sdtasdt0(X0,X1)),xI) = xI )
| ( sK9(slsdtgt0(sdtasdt0(X0,X1)),xI,xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_24365]) ).
tcf(c_24509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(sK14(X2,X3))
| ( sdtasasdt0(slsdtgt0(sK13(X2,X3,X0,X1)),xI) = xI )
| ( sK9(slsdtgt0(sK13(X2,X3,X0,X1)),xI,xI) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_24365]) ).
tcf(c_24510,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasasdt0(slsdtgt0(sK15(X0,X1)),xI) = xI )
| ( sK9(slsdtgt0(sK15(X0,X1)),xI,xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_24365]) ).
tcf(c_24511,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasasdt0(slsdtgt0(sK16(X0,X1)),xI) = xI )
| ( sK9(slsdtgt0(sK16(X0,X1)),xI,xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_24365]) ).
tcf(c_24512,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(slsdtgt0(sK17(X0,X1)),xI) = xI )
| ( sK9(slsdtgt0(sK17(X0,X1)),xI,xI) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_24365]) ).
tcf(c_24513,plain,
( ( sdtasasdt0(slsdtgt0(xa),xI) = xI )
| ( sK9(slsdtgt0(xa),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_24365]) ).
tcf(c_24514,plain,
( ( sdtasasdt0(slsdtgt0(xb),xI) = xI )
| ( sK9(slsdtgt0(xb),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_24365]) ).
tcf(c_24515,plain,
( ( sdtasasdt0(slsdtgt0(sK21(sz00,sz00)),xI) = xI )
| ( sK9(slsdtgt0(sK21(sz00,sz00)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_24365]) ).
tcf(c_24516,plain,
! [X0: $i] :
( aIdeal0(X0)
| ( sdtasasdt0(slsdtgt0(sK10(X0)),xI) = xI )
| ( sK9(slsdtgt0(sK10(X0)),xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_24365]) ).
tcf(c_24517,plain,
( ( sdtasasdt0(slsdtgt0(smndt0(xa)),xI) = xI )
| ( sK9(slsdtgt0(smndt0(xa)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_24365]) ).
tcf(c_24518,plain,
( ( sdtasasdt0(slsdtgt0(smndt0(xb)),xI) = xI )
| ( sK9(slsdtgt0(smndt0(xb)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_24365]) ).
tcf(c_24519,plain,
( ( sdtasasdt0(slsdtgt0(sK21(xa,sz00)),xI) = xI )
| ( sK9(slsdtgt0(sK21(xa,sz00)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_24365]) ).
tcf(c_24520,plain,
( ( sdtasasdt0(slsdtgt0(sK21(xa,xa)),xI) = xI )
| ( sK9(slsdtgt0(sK21(xa,xa)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_24365]) ).
tcf(c_24521,plain,
( ( sdtasasdt0(slsdtgt0(sK21(xb,sz00)),xI) = xI )
| ( sK9(slsdtgt0(sK21(xb,sz00)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_24365]) ).
tcf(c_24522,plain,
( ( sdtasasdt0(slsdtgt0(sK21(xb,xb)),xI) = xI )
| ( sK9(slsdtgt0(sK21(xb,xb)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_24365]) ).
tcf(c_24523,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK20(X0,xI)),xI) = xI )
| ( sK9(slsdtgt0(sK20(X0,xI)),xI,xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_24365]) ).
tcf(c_24524,plain,
( ( sdtasasdt0(slsdtgt0(xc),xI) = xI )
| ( sK9(slsdtgt0(xc),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_24365]) ).
tcf(c_24525,plain,
( ( sdtasasdt0(slsdtgt0(sK21(xc,sz00)),xI) = xI )
| ( sK9(slsdtgt0(sK21(xc,sz00)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_24365]) ).
tcf(c_24526,plain,
( ( sdtasasdt0(slsdtgt0(sK21(xc,xc)),xI) = xI )
| ( sK9(slsdtgt0(sK21(xc,xc)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_24365]) ).
tcf(c_24533,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK3(xI,X0)),xI) = xI )
| ( sK9(slsdtgt0(sK3(xI,X0)),xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_24365]) ).
tcf(c_24534,plain,
! [X0: $i] :
( ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK2(X0,xI)),xI) = xI )
| ( sK9(slsdtgt0(sK2(X0,xI)),xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_24365]) ).
tcf(c_24535,plain,
( ( sdtasasdt0(slsdtgt0(sK21(sK21(xb,xb),sz00)),xI) = xI )
| ( sK9(slsdtgt0(sK21(sK21(xb,xb),sz00)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_24365]) ).
tcf(c_24816,plain,
! [X0: $i] :
( ( slsdtgt0(xa) = xI )
| ( slsdtgt0(xa) = X0 )
| ( sK19(xa,xI) = sz00 )
| ~ aElement0(xa)
| ~ aSet0(X0)
| ~ aElement0(sK20(xa,xI))
| ~ aElementOf0(sK19(xa,X0),X0)
| ( sK19(xa,X0) != sK19(xa,xI) ) ),
inference(superposition,[status(thm)],[c_22010,c_131]) ).
tcf(c_24817,plain,
( aElementOf0(sK19(xa,xI),slsdtgt0(xa))
| ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ~ aElement0(xa)
| ~ aElement0(sK20(xa,xI)) ),
inference(superposition,[status(thm)],[c_22010,c_135]) ).
tcf(c_24818,plain,
( doDivides0(xa,sK19(xa,xI))
| ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ~ aElement0(xa)
| ~ aElement0(sK20(xa,xI)) ),
inference(superposition,[status(thm)],[c_22010,c_227]) ).
tcf(c_24820,plain,
( aElement0(sK19(xa,xI))
| ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ~ aElement0(xa)
| ~ aElement0(sK20(xa,xI)) ),
inference(superposition,[status(thm)],[c_22010,c_53]) ).
tcf(c_24821,plain,
! [X0: $i] :
( aElementOf0(sK19(xa,xI),X0)
| ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ~ aElement0(xa)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(xa,xI),X0) ),
inference(superposition,[status(thm)],[c_22010,c_103]) ).
tcf(c_24822,plain,
( aElement0(sK19(xa,xI))
| ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ~ aElement0(sK20(xa,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24820,c_139]) ).
tcf(c_24827,plain,
( doDivides0(xa,sK19(xa,xI))
| ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ~ aElement0(sK20(xa,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24818,c_139]) ).
tcf(c_24832,plain,
( aElementOf0(sK19(xa,xI),slsdtgt0(xa))
| ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ~ aElement0(sK20(xa,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24817,c_139]) ).
tcf(c_24837,plain,
! [X0: $i] :
( aElementOf0(sK19(xa,xI),X0)
| ( slsdtgt0(xa) = xI )
| ( sK19(xa,xI) = sz00 )
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(xa,xI),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24821,c_139]) ).
tcf(c_24843,plain,
! [X0: $i] :
( ( slsdtgt0(xa) = xI )
| ( slsdtgt0(xa) = X0 )
| ( sK19(xa,xI) = sz00 )
| ~ aSet0(X0)
| ~ aElement0(sK20(xa,xI))
| ~ aElementOf0(sK19(xa,X0),X0)
| ( sK19(xa,X0) != sK19(xa,xI) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24816,c_139]) ).
tcf(c_24859,plain,
! [X0: $i] :
( ( slsdtgt0(xb) = xI )
| ( slsdtgt0(xb) = X0 )
| ( sK19(xb,xI) = sz00 )
| ~ aElement0(xb)
| ~ aSet0(X0)
| ~ aElement0(sK20(xb,xI))
| ~ aElementOf0(sK19(xb,X0),X0)
| ( sK19(xb,X0) != sK19(xb,xI) ) ),
inference(superposition,[status(thm)],[c_22011,c_131]) ).
tcf(c_24860,plain,
( aElementOf0(sK19(xb,xI),slsdtgt0(xb))
| ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ~ aElement0(xb)
| ~ aElement0(sK20(xb,xI)) ),
inference(superposition,[status(thm)],[c_22011,c_135]) ).
tcf(c_24861,plain,
( doDivides0(xb,sK19(xb,xI))
| ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ~ aElement0(xb)
| ~ aElement0(sK20(xb,xI)) ),
inference(superposition,[status(thm)],[c_22011,c_227]) ).
tcf(c_24863,plain,
( aElement0(sK19(xb,xI))
| ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ~ aElement0(xb)
| ~ aElement0(sK20(xb,xI)) ),
inference(superposition,[status(thm)],[c_22011,c_53]) ).
tcf(c_24864,plain,
! [X0: $i] :
( aElementOf0(sK19(xb,xI),X0)
| ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ~ aElement0(xb)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(xb,xI),X0) ),
inference(superposition,[status(thm)],[c_22011,c_103]) ).
tcf(c_24865,plain,
( aElement0(sK19(xb,xI))
| ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ~ aElement0(sK20(xb,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24863,c_140]) ).
tcf(c_24870,plain,
( doDivides0(xb,sK19(xb,xI))
| ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ~ aElement0(sK20(xb,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24861,c_140]) ).
tcf(c_24875,plain,
( aElementOf0(sK19(xb,xI),slsdtgt0(xb))
| ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ~ aElement0(sK20(xb,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24860,c_140]) ).
tcf(c_24880,plain,
! [X0: $i] :
( aElementOf0(sK19(xb,xI),X0)
| ( slsdtgt0(xb) = xI )
| ( sK19(xb,xI) = sz00 )
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(xb,xI),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24864,c_140]) ).
tcf(c_24886,plain,
! [X0: $i] :
( ( slsdtgt0(xb) = xI )
| ( slsdtgt0(xb) = X0 )
| ( sK19(xb,xI) = sz00 )
| ~ aSet0(X0)
| ~ aElement0(sK20(xb,xI))
| ~ aElementOf0(sK19(xb,X0),X0)
| ( sK19(xb,X0) != sK19(xb,xI) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24859,c_140]) ).
tcf(c_24902,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = xI )
| ( slsdtgt0(xc) = X0 )
| ( sK19(xc,xI) = sz00 )
| ~ aElement0(xc)
| ~ aSet0(X0)
| ~ aElement0(sK20(xc,xI))
| ~ aElementOf0(sK19(xc,X0),X0)
| ( sK19(xc,X0) != sK19(xc,xI) ) ),
inference(superposition,[status(thm)],[c_22021,c_131]) ).
tcf(c_24903,plain,
( aElementOf0(sK19(xc,xI),slsdtgt0(xc))
| ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ~ aElement0(xc)
| ~ aElement0(sK20(xc,xI)) ),
inference(superposition,[status(thm)],[c_22021,c_135]) ).
tcf(c_24904,plain,
( doDivides0(xc,sK19(xc,xI))
| ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ~ aElement0(xc)
| ~ aElement0(sK20(xc,xI)) ),
inference(superposition,[status(thm)],[c_22021,c_227]) ).
tcf(c_24906,plain,
( aElement0(sK19(xc,xI))
| ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ~ aElement0(xc)
| ~ aElement0(sK20(xc,xI)) ),
inference(superposition,[status(thm)],[c_22021,c_53]) ).
tcf(c_24907,plain,
! [X0: $i] :
( aElementOf0(sK19(xc,xI),X0)
| ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ~ aElement0(xc)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(xc,xI),X0) ),
inference(superposition,[status(thm)],[c_22021,c_103]) ).
tcf(c_24908,plain,
( aElement0(sK19(xc,xI))
| ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ~ aElement0(sK20(xc,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24906,c_8521]) ).
tcf(c_24913,plain,
( doDivides0(xc,sK19(xc,xI))
| ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ~ aElement0(sK20(xc,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24904,c_8521]) ).
tcf(c_24918,plain,
( aElementOf0(sK19(xc,xI),slsdtgt0(xc))
| ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ~ aElement0(sK20(xc,xI)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24903,c_8521]) ).
tcf(c_24923,plain,
! [X0: $i] :
( aElementOf0(sK19(xc,xI),X0)
| ( slsdtgt0(xc) = xI )
| ( sK19(xc,xI) = sz00 )
| ~ aIdeal0(X0)
| ~ aElementOf0(sK20(xc,xI),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24907,c_8521]) ).
tcf(c_24929,plain,
! [X0: $i] :
( ( slsdtgt0(xc) = xI )
| ( slsdtgt0(xc) = X0 )
| ( sK19(xc,xI) = sz00 )
| ~ aSet0(X0)
| ~ aElement0(sK20(xc,xI))
| ~ aElementOf0(sK19(xc,X0),X0)
| ( sK19(xc,X0) != sK19(xc,xI) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24902,c_8521]) ).
tcf(c_24992,plain,
( aElementOf0(sK21(xb,xb),slsdtgt0(sK21(xb,xb)))
| ~ aElement0(sz10)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_8004,c_135]) ).
tcf(c_24993,plain,
( doDivides0(sK21(xb,xb),sK21(xb,xb))
| ~ aElement0(sz10)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_8004,c_227]) ).
tcf(c_24996,plain,
! [X0: $i] :
( aElementOf0(sK21(xb,xb),X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0)
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_8004,c_103]) ).
tcf(c_24997,plain,
doDivides0(sK21(xb,xb),sK21(xb,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_24993,c_50,c_7464]) ).
tcf(c_24998,plain,
aElementOf0(sK21(xb,xb),slsdtgt0(sK21(xb,xb))),
inference(forward_subsumption_resolution,[status(thm)],[c_24992,c_50,c_7464]) ).
tcf(c_24999,plain,
! [X0: $i] :
( aElementOf0(sK21(xb,xb),X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24996,c_7464]) ).
tcf(c_25022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasasdt0(sdtasasdt0(X0,X1),X2) = X3 )
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1))
| ~ aElementOf0(sK9(sdtasasdt0(X0,X1),X2,X3),X3)
| ~ aElementOf0(sK9(sdtasasdt0(X0,X1),X2,X3),X2)
| ~ aElementOf0(sK9(sdtasasdt0(X0,X1),X2,X3),X1)
| ~ aElementOf0(sK9(sdtasasdt0(X0,X1),X2,X3),X0) ),
inference(superposition,[status(thm)],[c_93,c_89]) ).
tcf(c_25023,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0)
| ~ aElementOf0(sK9(xI,X0,xI),xI)
| ~ aElementOf0(sK9(xI,X0,xI),X0) ),
inference(superposition,[status(thm)],[c_21300,c_89]) ).
tcf(c_25024,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = xI )
| ( sK9(X0,X1,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK9(X0,X1,xI),xI)
| ~ aElementOf0(sK9(X0,X1,xI),X1) ),
inference(superposition,[status(thm)],[c_21306,c_89]) ).
tcf(c_25025,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = xI )
| ( sK9(X0,X0,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0)
| ~ aElementOf0(sK9(X0,X0,xI),xI)
| ~ aElementOf0(sK9(X0,X0,xI),X0) ),
inference(superposition,[status(thm)],[c_23016,c_89]) ).
tcf(c_25026,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xI) = X0 )
| ( sK9(X0,xI,X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0)
| ~ aElementOf0(sK9(X0,xI,X0),xI)
| ~ aElementOf0(sK9(X0,xI,X0),X0) ),
inference(superposition,[status(thm)],[c_23010,c_89]) ).
tcf(c_25027,plain,
( ( sdtasasdt0(xI,xI) = xI )
| ~ aSet0(xI)
| ~ aElementOf0(sz00,xI)
| ~ aElementOf0(sK9(xI,xI,xI),xI) ),
inference(superposition,[status(thm)],[c_22539,c_89]) ).
tcf(c_25028,plain,
( ( sdtasasdt0(xI,xI) = xI )
| ~ aElementOf0(sz00,xI)
| ~ aElementOf0(sK9(xI,xI,xI),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25027,c_6772]) ).
tcf(c_25032,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xI) = X0 )
| ( sK9(X0,xI,X0) = sz00 )
| ~ aSet0(X0)
| ~ aElementOf0(sK9(X0,xI,X0),xI)
| ~ aElementOf0(sK9(X0,xI,X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25026,c_6772]) ).
tcf(c_25038,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = xI )
| ( sK9(X0,X0,xI) = sz00 )
| ~ aSet0(X0)
| ~ aElementOf0(sK9(X0,X0,xI),xI)
| ~ aElementOf0(sK9(X0,X0,xI),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25025,c_6772]) ).
tcf(c_25045,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = xI )
| ( sK9(X0,X1,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK9(X0,X1,xI),xI)
| ~ aElementOf0(sK9(X0,X1,xI),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25024,c_6772]) ).
tcf(c_25065,plain,
( ( sdtasdt0(sK21(xb,xb),sK17(sK21(xb,xb),sK21(xb,xb))) = sK21(xb,xb) )
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_24997,c_119]) ).
tcf(c_25066,plain,
( aDivisorOf0(sK21(xb,xb),sK21(xb,xb))
| ~ aElement0(sK21(xb,xb)) ),
inference(superposition,[status(thm)],[c_24997,c_120]) ).
tcf(c_25067,plain,
aDivisorOf0(sK21(xb,xb),sK21(xb,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_25066,c_7464]) ).
tcf(c_25068,plain,
sdtasdt0(sK21(xb,xb),sK17(sK21(xb,xb),sK21(xb,xb))) = sK21(xb,xb),
inference(forward_subsumption_resolution,[status(thm)],[c_25065,c_7464]) ).
tcf(c_25075,plain,
( ( sdtasdt0(smndt0(sz10),sK17(smndt0(sz10),sz00)) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7316,c_119]) ).
tcf(c_25076,plain,
( aDivisorOf0(smndt0(sz10),sz00)
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7316,c_120]) ).
tcf(c_25077,plain,
( aDivisorOf0(smndt0(sz10),sz00)
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25076,c_49]) ).
tcf(c_25080,plain,
( ( sdtasdt0(smndt0(sz10),sK17(smndt0(sz10),sz00)) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25075,c_49]) ).
tcf(c_25087,plain,
( ( sdtasdt0(xa,sK17(xa,smndt0(xa))) = smndt0(xa) )
| ~ aElement0(xa)
| ~ aElement0(smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7625,c_119]) ).
tcf(c_25088,plain,
( aDivisorOf0(xa,smndt0(xa))
| ~ aElement0(xa)
| ~ aElement0(smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7625,c_120]) ).
tcf(c_25089,plain,
( aDivisorOf0(xa,smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25088,c_139,c_8413]) ).
tcf(c_25092,plain,
( ( sdtasdt0(xa,sK17(xa,smndt0(xa))) = smndt0(xa) )
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25087,c_139,c_8413]) ).
tcf(c_25095,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK21(xb,sz00))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8037,c_131]) ).
tcf(c_25100,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xb,sz00),X0) ),
inference(superposition,[status(thm)],[c_8037,c_103]) ).
tcf(c_25101,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xb,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25100,c_49]) ).
tcf(c_25107,plain,
( aElementOf0(sz00,slsdtgt0(sK21(xb,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_8038,c_135]) ).
tcf(c_25108,plain,
( doDivides0(sK21(xb,sz00),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_8038,c_227]) ).
tcf(c_25112,plain,
doDivides0(sK21(xb,sz00),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_25108,c_49,c_7465]) ).
tcf(c_25113,plain,
aElementOf0(sz00,slsdtgt0(sK21(xb,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_25107,c_49,c_7465]) ).
tcf(c_25114,plain,
( ( sdtasdt0(sK21(xb,sz00),sK17(sK21(xb,sz00),sz00)) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_25112,c_119]) ).
tcf(c_25115,plain,
( aDivisorOf0(sK21(xb,sz00),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_25112,c_120]) ).
tcf(c_25116,plain,
aDivisorOf0(sK21(xb,sz00),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_25115,c_49,c_7465]) ).
tcf(c_25117,plain,
sdtasdt0(sK21(xb,sz00),sK17(sK21(xb,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_25114,c_49,c_7465]) ).
tcf(c_25126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,sdtasasdt0(sdtasasdt0(X0,X1),X2)) = xI )
| ( sK9(xI,sdtasasdt0(sdtasasdt0(X0,X1),X2),xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_92,c_22536]) ).
tcf(c_25127,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,sdtasasdt0(slsdtgt0(X0),X1)) = xI )
| ( sK9(xI,sdtasasdt0(slsdtgt0(X0),X1),xI) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_134,c_22536]) ).
tcf(c_25128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,sdtasasdt0(sdtpldt1(X1,X2),X0)) = xI )
| ( sK9(xI,sdtasasdt0(sdtpldt1(X1,X2),X0),xI) = sz00 )
| ~ aIdeal0(X2)
| ~ aIdeal0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_7092,c_22536]) ).
tcf(c_25129,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,sdtasasdt0(xI,X0)) = xI )
| ( sK9(xI,sdtasasdt0(xI,X0),xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6772,c_22536]) ).
tcf(c_25159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,sdtpldt1(sdtpldt1(X0,X1),X2)) = xI )
| ( sK9(xI,sdtpldt1(sdtpldt1(X0,X1),X2),xI) = sz00 )
| ~ aIdeal0(X2)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_104,c_22538]) ).
tcf(c_25160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(xI,sdtpldt1(sdtasasdt0(X0,X1),X2)) = xI )
| ( sK9(xI,sdtpldt1(sdtasasdt0(X0,X1),X2),xI) = sz00 )
| ~ aIdeal0(X2)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_105,c_22538]) ).
tcf(c_25161,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,sdtpldt1(slsdtgt0(X0),X1)) = xI )
| ( sK9(xI,sdtpldt1(slsdtgt0(X0),X1),xI) = sz00 )
| ~ aIdeal0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_138,c_22538]) ).
tcf(c_25162,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,sdtpldt1(xI,X0)) = xI )
| ( sK9(xI,sdtpldt1(xI,X0),xI) = sz00 )
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_143,c_22538]) ).
tcf(c_25200,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(sdtasasdt0(sdtasasdt0(X0,X1),X2),xI) = xI )
| ( sK9(sdtasasdt0(sdtasasdt0(X0,X1),X2),xI,xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_92,c_24364]) ).
tcf(c_25201,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(sdtasasdt0(slsdtgt0(X0),X1),xI) = xI )
| ( sK9(sdtasasdt0(slsdtgt0(X0),X1),xI,xI) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_134,c_24364]) ).
tcf(c_25202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(sdtasasdt0(sdtpldt1(X1,X2),X0),xI) = xI )
| ( sK9(sdtasasdt0(sdtpldt1(X1,X2),X0),xI,xI) = sz00 )
| ~ aIdeal0(X2)
| ~ aIdeal0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_7092,c_24364]) ).
tcf(c_25203,plain,
! [X0: $i] :
( ( sdtasasdt0(sdtasasdt0(xI,X0),xI) = xI )
| ( sK9(sdtasasdt0(xI,X0),xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6772,c_24364]) ).
tcf(c_25258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(sdtpldt1(sdtpldt1(X0,X1),X2),xI) = xI )
| ( sK9(sdtpldt1(sdtpldt1(X0,X1),X2),xI,xI) = sz00 )
| ~ aIdeal0(X2)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_104,c_24366]) ).
tcf(c_25259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasasdt0(sdtpldt1(sdtasasdt0(X0,X1),X2),xI) = xI )
| ( sK9(sdtpldt1(sdtasasdt0(X0,X1),X2),xI,xI) = sz00 )
| ~ aIdeal0(X2)
| ~ aIdeal0(X1)
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_105,c_24366]) ).
tcf(c_25260,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(sdtpldt1(slsdtgt0(X0),X1),xI) = xI )
| ( sK9(sdtpldt1(slsdtgt0(X0),X1),xI,xI) = sz00 )
| ~ aIdeal0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_138,c_24366]) ).
tcf(c_25261,plain,
! [X0: $i] :
( ( sdtasasdt0(sdtpldt1(xI,X0),xI) = xI )
| ( sK9(sdtpldt1(xI,X0),xI,xI) = sz00 )
| ~ aIdeal0(X0) ),
inference(superposition,[status(thm)],[c_143,c_24366]) ).
tcf(c_26677,plain,
( ( sdtasdt0(sK21(xb,sz00),sK21(sK21(xb,sz00),sz00)) = sz00 )
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_25113,c_137]) ).
tcf(c_26678,plain,
( aElement0(sK21(sK21(xb,sz00),sz00))
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_25113,c_136]) ).
tcf(c_26679,plain,
aElement0(sK21(sK21(xb,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_26678,c_7465]) ).
tcf(c_26680,plain,
sdtasdt0(sK21(xb,sz00),sK21(sK21(xb,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26677,c_7465]) ).
tcf(c_26681,plain,
( ( sdtasasdt0(slsdtgt0(sK21(sK21(xb,sz00),sz00)),xI) = xI )
| ( sK9(slsdtgt0(sK21(sK21(xb,sz00),sz00)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_24365]) ).
tcf(c_26682,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(sK21(xb,sz00),sz00))) = xI )
| ( sK9(xI,slsdtgt0(sK21(sK21(xb,sz00),sz00)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_22537]) ).
tcf(c_26683,plain,
( ( slsdtgt0(sK21(sK21(xb,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xb,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,sz00),sz00),sK20(sK21(sK21(xb,sz00),sz00),xI)) = sK19(sK21(sK21(xb,sz00),sz00),xI) ) ),
inference(superposition,[status(thm)],[c_26679,c_20998]) ).
tcf(c_26684,plain,
( ( slsdtgt0(sK21(sK21(xb,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xb,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(sK21(xb,sz00),sz00),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_13998]) ).
tcf(c_26685,plain,
( ( slsdtgt0(sK21(sK21(xb,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xb,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(sK21(xb,sz00),sz00),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_13997]) ).
tcf(c_26687,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(sK21(xb,sz00),sz00)),sdtasdt0(X1,sK21(sK21(xb,sz00),sz00))) = sdtasdt0(sdtpldt0(X0,X1),sK21(sK21(xb,sz00),sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_26679,c_65]) ).
tcf(c_26688,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(sK21(xb,sz00),sz00),X0),sdtasdt0(sK21(sK21(xb,sz00),sz00),X1)) = sdtasdt0(sK21(sK21(xb,sz00),sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_26679,c_64]) ).
tcf(c_26692,plain,
( ( slsdtgt0(sK21(sK21(xb,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xb,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(sK21(xb,sz00),sz00),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_14002]) ).
tcf(c_26693,plain,
( ( slsdtgt0(sK21(sK21(xb,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xb,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(sK21(xb,sz00),sz00),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_14001]) ).
tcf(c_26694,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(sK21(xb,sz00),sz00),X0),X0),sK16(sK21(sK21(xb,sz00),sz00),X0)) = sK21(sK21(xb,sz00),sz00) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_26679,c_116]) ).
tcf(c_26695,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(sK21(xb,sz00),sz00),X0),X1) = sdtasdt0(sK21(sK21(xb,sz00),sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_26679,c_61]) ).
tcf(c_26696,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(sK21(xb,sz00),sz00),X0),X1) = sdtpldt0(sK21(sK21(xb,sz00),sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_26679,c_55]) ).
tcf(c_26697,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sK21(xb,sz00),sz00),X0) = sdtasdt0(X0,sK21(sK21(xb,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_26679,c_60]) ).
tcf(c_26698,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sK21(xb,sz00),sz00),X0) = sdtpldt0(X0,sK21(sK21(xb,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_26679,c_54]) ).
tcf(c_26699,plain,
sdtasdt0(sK21(sK21(xb,sz00),sz00),smndt0(sz10)) = smndt0(sK21(sK21(xb,sz00),sz00)),
inference(superposition,[status(thm)],[c_26679,c_67]) ).
tcf(c_26700,plain,
sdtasdt0(smndt0(sz10),sK21(sK21(xb,sz00),sz00)) = smndt0(sK21(sK21(xb,sz00),sz00)),
inference(superposition,[status(thm)],[c_26679,c_66]) ).
tcf(c_26701,plain,
sdtasdt0(sz00,smndt0(sK21(sK21(xb,sz00),sz00))) = sz00,
inference(superposition,[status(thm)],[c_26679,c_6856]) ).
tcf(c_26702,plain,
sdtasdt0(smndt0(sK21(sK21(xb,sz00),sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_26679,c_6844]) ).
tcf(c_26703,plain,
sdtpldt0(smndt0(sK21(sK21(xb,sz00),sz00)),sK21(sK21(xb,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_26679,c_59]) ).
tcf(c_26704,plain,
sdtpldt0(sK21(sK21(xb,sz00),sz00),smndt0(sK21(sK21(xb,sz00),sz00))) = sz00,
inference(superposition,[status(thm)],[c_26679,c_58]) ).
tcf(c_26705,plain,
sdtasdt0(sz00,sK21(sK21(xb,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_26679,c_69]) ).
tcf(c_26706,plain,
sdtasdt0(sK21(sK21(xb,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_26679,c_68]) ).
tcf(c_26707,plain,
sdtasdt0(sz10,sK21(sK21(xb,sz00),sz00)) = sK21(sK21(xb,sz00),sz00),
inference(superposition,[status(thm)],[c_26679,c_63]) ).
tcf(c_26708,plain,
sdtasdt0(sK21(sK21(xb,sz00),sz00),sz10) = sK21(sK21(xb,sz00),sz00),
inference(superposition,[status(thm)],[c_26679,c_62]) ).
tcf(c_26709,plain,
sdtpldt0(sz00,sK21(sK21(xb,sz00),sz00)) = sK21(sK21(xb,sz00),sz00),
inference(superposition,[status(thm)],[c_26679,c_57]) ).
tcf(c_26710,plain,
sdtpldt0(sK21(sK21(xb,sz00),sz00),sz00) = sK21(sK21(xb,sz00),sz00),
inference(superposition,[status(thm)],[c_26679,c_56]) ).
tcf(c_26973,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK21(xa,xa))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8075,c_131]) ).
tcf(c_26978,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xa,xa),X0) ),
inference(superposition,[status(thm)],[c_8075,c_103]) ).
tcf(c_26979,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xa,xa),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26978,c_49]) ).
tcf(c_26985,plain,
( aElementOf0(sz00,slsdtgt0(sK21(xa,xa)))
| ~ aElement0(sz00)
| ~ aElement0(sK21(xa,xa)) ),
inference(superposition,[status(thm)],[c_8076,c_135]) ).
tcf(c_26986,plain,
( doDivides0(sK21(xa,xa),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(xa,xa)) ),
inference(superposition,[status(thm)],[c_8076,c_227]) ).
tcf(c_26990,plain,
doDivides0(sK21(xa,xa),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_26986,c_49,c_7466]) ).
tcf(c_26991,plain,
aElementOf0(sz00,slsdtgt0(sK21(xa,xa))),
inference(forward_subsumption_resolution,[status(thm)],[c_26985,c_49,c_7466]) ).
tcf(c_26992,plain,
( ( sdtasdt0(sK21(xa,xa),sK17(sK21(xa,xa),sz00)) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sK21(xa,xa)) ),
inference(superposition,[status(thm)],[c_26990,c_119]) ).
tcf(c_26993,plain,
( aDivisorOf0(sK21(xa,xa),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(xa,xa)) ),
inference(superposition,[status(thm)],[c_26990,c_120]) ).
tcf(c_26994,plain,
aDivisorOf0(sK21(xa,xa),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_26993,c_49,c_7466]) ).
tcf(c_26995,plain,
sdtasdt0(sK21(xa,xa),sK17(sK21(xa,xa),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26992,c_49,c_7466]) ).
tcf(c_27015,plain,
( ( sdtasdt0(sK21(xa,xa),sK21(sK21(xa,xa),sz00)) = sz00 )
| ~ aElement0(sK21(xa,xa)) ),
inference(superposition,[status(thm)],[c_26991,c_137]) ).
tcf(c_27016,plain,
( aElement0(sK21(sK21(xa,xa),sz00))
| ~ aElement0(sK21(xa,xa)) ),
inference(superposition,[status(thm)],[c_26991,c_136]) ).
tcf(c_27017,plain,
aElement0(sK21(sK21(xa,xa),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_27016,c_7466]) ).
tcf(c_27018,plain,
sdtasdt0(sK21(xa,xa),sK21(sK21(xa,xa),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_27015,c_7466]) ).
tcf(c_29264,plain,
( ( sdtasasdt0(slsdtgt0(sK21(sK21(xa,xa),sz00)),xI) = xI )
| ( sK9(slsdtgt0(sK21(sK21(xa,xa),sz00)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_24365]) ).
tcf(c_29265,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(sK21(xa,xa),sz00))) = xI )
| ( sK9(xI,slsdtgt0(sK21(sK21(xa,xa),sz00)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_22537]) ).
tcf(c_29266,plain,
( ( slsdtgt0(sK21(sK21(xa,xa),sz00)) = xI )
| ( sK19(sK21(sK21(xa,xa),sz00),xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,xa),sz00),sK20(sK21(sK21(xa,xa),sz00),xI)) = sK19(sK21(sK21(xa,xa),sz00),xI) ) ),
inference(superposition,[status(thm)],[c_27017,c_20998]) ).
tcf(c_29267,plain,
( ( slsdtgt0(sK21(sK21(xa,xa),sz00)) = xI )
| ( sK19(sK21(sK21(xa,xa),sz00),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(sK21(xa,xa),sz00),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_13998]) ).
tcf(c_29268,plain,
( ( slsdtgt0(sK21(sK21(xa,xa),sz00)) = xI )
| ( sK19(sK21(sK21(xa,xa),sz00),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(sK21(xa,xa),sz00),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_13997]) ).
tcf(c_29270,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(sK21(xa,xa),sz00)),sdtasdt0(X1,sK21(sK21(xa,xa),sz00))) = sdtasdt0(sdtpldt0(X0,X1),sK21(sK21(xa,xa),sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27017,c_65]) ).
tcf(c_29271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(sK21(xa,xa),sz00),X0),sdtasdt0(sK21(sK21(xa,xa),sz00),X1)) = sdtasdt0(sK21(sK21(xa,xa),sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27017,c_64]) ).
tcf(c_29275,plain,
( ( slsdtgt0(sK21(sK21(xa,xa),sz00)) = xI )
| ( sK19(sK21(sK21(xa,xa),sz00),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(sK21(xa,xa),sz00),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_14002]) ).
tcf(c_29276,plain,
( ( slsdtgt0(sK21(sK21(xa,xa),sz00)) = xI )
| ( sK19(sK21(sK21(xa,xa),sz00),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(sK21(xa,xa),sz00),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_14001]) ).
tcf(c_29277,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(sK21(xa,xa),sz00),X0),X0),sK16(sK21(sK21(xa,xa),sz00),X0)) = sK21(sK21(xa,xa),sz00) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27017,c_116]) ).
tcf(c_29278,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(sK21(xa,xa),sz00),X0),X1) = sdtasdt0(sK21(sK21(xa,xa),sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27017,c_61]) ).
tcf(c_29279,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(sK21(xa,xa),sz00),X0),X1) = sdtpldt0(sK21(sK21(xa,xa),sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27017,c_55]) ).
tcf(c_29280,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sK21(xa,xa),sz00),X0) = sdtasdt0(X0,sK21(sK21(xa,xa),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27017,c_60]) ).
tcf(c_29281,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sK21(xa,xa),sz00),X0) = sdtpldt0(X0,sK21(sK21(xa,xa),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27017,c_54]) ).
tcf(c_29282,plain,
sdtasdt0(sK21(sK21(xa,xa),sz00),smndt0(sz10)) = smndt0(sK21(sK21(xa,xa),sz00)),
inference(superposition,[status(thm)],[c_27017,c_67]) ).
tcf(c_29283,plain,
sdtasdt0(smndt0(sz10),sK21(sK21(xa,xa),sz00)) = smndt0(sK21(sK21(xa,xa),sz00)),
inference(superposition,[status(thm)],[c_27017,c_66]) ).
tcf(c_29284,plain,
sdtasdt0(sz00,smndt0(sK21(sK21(xa,xa),sz00))) = sz00,
inference(superposition,[status(thm)],[c_27017,c_6856]) ).
tcf(c_29285,plain,
sdtasdt0(smndt0(sK21(sK21(xa,xa),sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_27017,c_6844]) ).
tcf(c_29286,plain,
sdtpldt0(smndt0(sK21(sK21(xa,xa),sz00)),sK21(sK21(xa,xa),sz00)) = sz00,
inference(superposition,[status(thm)],[c_27017,c_59]) ).
tcf(c_29287,plain,
sdtpldt0(sK21(sK21(xa,xa),sz00),smndt0(sK21(sK21(xa,xa),sz00))) = sz00,
inference(superposition,[status(thm)],[c_27017,c_58]) ).
tcf(c_29288,plain,
sdtasdt0(sz00,sK21(sK21(xa,xa),sz00)) = sz00,
inference(superposition,[status(thm)],[c_27017,c_69]) ).
tcf(c_29289,plain,
sdtasdt0(sK21(sK21(xa,xa),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_27017,c_68]) ).
tcf(c_29290,plain,
sdtasdt0(sz10,sK21(sK21(xa,xa),sz00)) = sK21(sK21(xa,xa),sz00),
inference(superposition,[status(thm)],[c_27017,c_63]) ).
tcf(c_29291,plain,
sdtasdt0(sK21(sK21(xa,xa),sz00),sz10) = sK21(sK21(xa,xa),sz00),
inference(superposition,[status(thm)],[c_27017,c_62]) ).
tcf(c_29292,plain,
sdtpldt0(sz00,sK21(sK21(xa,xa),sz00)) = sK21(sK21(xa,xa),sz00),
inference(superposition,[status(thm)],[c_27017,c_57]) ).
tcf(c_29293,plain,
sdtpldt0(sK21(sK21(xa,xa),sz00),sz00) = sK21(sK21(xa,xa),sz00),
inference(superposition,[status(thm)],[c_27017,c_56]) ).
tcf(c_29720,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK21(xa,sz00))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8134,c_131]) ).
tcf(c_29725,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xa,sz00),X0) ),
inference(superposition,[status(thm)],[c_8134,c_103]) ).
tcf(c_29726,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(xa,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29725,c_49]) ).
tcf(c_29732,plain,
( aElementOf0(sz00,slsdtgt0(sK21(xa,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK21(xa,sz00)) ),
inference(superposition,[status(thm)],[c_8135,c_135]) ).
tcf(c_29733,plain,
( doDivides0(sK21(xa,sz00),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(xa,sz00)) ),
inference(superposition,[status(thm)],[c_8135,c_227]) ).
tcf(c_29737,plain,
doDivides0(sK21(xa,sz00),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_29733,c_49,c_7467]) ).
tcf(c_29738,plain,
aElementOf0(sz00,slsdtgt0(sK21(xa,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_29732,c_49,c_7467]) ).
tcf(c_29739,plain,
( ( sdtasdt0(sK21(xa,sz00),sK17(sK21(xa,sz00),sz00)) = sz00 )
| ~ aElement0(sz00)
| ~ aElement0(sK21(xa,sz00)) ),
inference(superposition,[status(thm)],[c_29737,c_119]) ).
tcf(c_29740,plain,
( aDivisorOf0(sK21(xa,sz00),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(xa,sz00)) ),
inference(superposition,[status(thm)],[c_29737,c_120]) ).
tcf(c_29741,plain,
aDivisorOf0(sK21(xa,sz00),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_29740,c_49,c_7467]) ).
tcf(c_29742,plain,
sdtasdt0(sK21(xa,sz00),sK17(sK21(xa,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_29739,c_49,c_7467]) ).
tcf(c_29753,plain,
( ( sdtasdt0(sK21(xa,sz00),sK21(sK21(xa,sz00),sz00)) = sz00 )
| ~ aElement0(sK21(xa,sz00)) ),
inference(superposition,[status(thm)],[c_29738,c_137]) ).
tcf(c_29754,plain,
( aElement0(sK21(sK21(xa,sz00),sz00))
| ~ aElement0(sK21(xa,sz00)) ),
inference(superposition,[status(thm)],[c_29738,c_136]) ).
tcf(c_29755,plain,
aElement0(sK21(sK21(xa,sz00),sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_29754,c_7467]) ).
tcf(c_29756,plain,
sdtasdt0(sK21(xa,sz00),sK21(sK21(xa,sz00),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_29753,c_7467]) ).
tcf(c_29772,plain,
( ( sdtasasdt0(slsdtgt0(sK21(sK21(xa,sz00),sz00)),xI) = xI )
| ( sK9(slsdtgt0(sK21(sK21(xa,sz00),sz00)),xI,xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_24365]) ).
tcf(c_29773,plain,
( ( sdtasasdt0(xI,slsdtgt0(sK21(sK21(xa,sz00),sz00))) = xI )
| ( sK9(xI,slsdtgt0(sK21(sK21(xa,sz00),sz00)),xI) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_22537]) ).
tcf(c_29774,plain,
( ( slsdtgt0(sK21(sK21(xa,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xa,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,sz00),sz00),sK20(sK21(sK21(xa,sz00),sz00),xI)) = sK19(sK21(sK21(xa,sz00),sz00),xI) ) ),
inference(superposition,[status(thm)],[c_29755,c_20998]) ).
tcf(c_29775,plain,
( ( slsdtgt0(sK21(sK21(xa,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xa,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(sK21(xa,sz00),sz00),xI)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_13998]) ).
tcf(c_29776,plain,
( ( slsdtgt0(sK21(sK21(xa,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xa,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(sK21(xa,sz00),sz00),xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_13997]) ).
tcf(c_29778,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK21(sK21(xa,sz00),sz00)),sdtasdt0(X1,sK21(sK21(xa,sz00),sz00))) = sdtasdt0(sdtpldt0(X0,X1),sK21(sK21(xa,sz00),sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_29755,c_65]) ).
tcf(c_29779,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK21(sK21(xa,sz00),sz00),X0),sdtasdt0(sK21(sK21(xa,sz00),sz00),X1)) = sdtasdt0(sK21(sK21(xa,sz00),sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_29755,c_64]) ).
tcf(c_29783,plain,
( ( slsdtgt0(sK21(sK21(xa,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xa,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(sK21(xa,sz00),sz00),xI),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_14002]) ).
tcf(c_29784,plain,
( ( slsdtgt0(sK21(sK21(xa,sz00),sz00)) = xI )
| ( sK19(sK21(sK21(xa,sz00),sz00),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(sK21(xa,sz00),sz00),xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_14001]) ).
tcf(c_29785,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(sK21(xa,sz00),sz00),X0),X0),sK16(sK21(sK21(xa,sz00),sz00),X0)) = sK21(sK21(xa,sz00),sz00) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_29755,c_116]) ).
tcf(c_29786,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK21(sK21(xa,sz00),sz00),X0),X1) = sdtasdt0(sK21(sK21(xa,sz00),sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_29755,c_61]) ).
tcf(c_29787,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK21(sK21(xa,sz00),sz00),X0),X1) = sdtpldt0(sK21(sK21(xa,sz00),sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_29755,c_55]) ).
tcf(c_29788,plain,
! [X0: $i] :
( ( sdtasdt0(sK21(sK21(xa,sz00),sz00),X0) = sdtasdt0(X0,sK21(sK21(xa,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_29755,c_60]) ).
tcf(c_29789,plain,
! [X0: $i] :
( ( sdtpldt0(sK21(sK21(xa,sz00),sz00),X0) = sdtpldt0(X0,sK21(sK21(xa,sz00),sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_29755,c_54]) ).
tcf(c_29790,plain,
sdtasdt0(sK21(sK21(xa,sz00),sz00),smndt0(sz10)) = smndt0(sK21(sK21(xa,sz00),sz00)),
inference(superposition,[status(thm)],[c_29755,c_67]) ).
tcf(c_29791,plain,
sdtasdt0(smndt0(sz10),sK21(sK21(xa,sz00),sz00)) = smndt0(sK21(sK21(xa,sz00),sz00)),
inference(superposition,[status(thm)],[c_29755,c_66]) ).
tcf(c_29792,plain,
sdtasdt0(sz00,smndt0(sK21(sK21(xa,sz00),sz00))) = sz00,
inference(superposition,[status(thm)],[c_29755,c_6856]) ).
tcf(c_29793,plain,
sdtasdt0(smndt0(sK21(sK21(xa,sz00),sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29755,c_6844]) ).
tcf(c_29794,plain,
sdtpldt0(smndt0(sK21(sK21(xa,sz00),sz00)),sK21(sK21(xa,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_29755,c_59]) ).
tcf(c_29795,plain,
sdtpldt0(sK21(sK21(xa,sz00),sz00),smndt0(sK21(sK21(xa,sz00),sz00))) = sz00,
inference(superposition,[status(thm)],[c_29755,c_58]) ).
tcf(c_29796,plain,
sdtasdt0(sz00,sK21(sK21(xa,sz00),sz00)) = sz00,
inference(superposition,[status(thm)],[c_29755,c_69]) ).
tcf(c_29797,plain,
sdtasdt0(sK21(sK21(xa,sz00),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_29755,c_68]) ).
tcf(c_29798,plain,
sdtasdt0(sz10,sK21(sK21(xa,sz00),sz00)) = sK21(sK21(xa,sz00),sz00),
inference(superposition,[status(thm)],[c_29755,c_63]) ).
tcf(c_29799,plain,
sdtasdt0(sK21(sK21(xa,sz00),sz00),sz10) = sK21(sK21(xa,sz00),sz00),
inference(superposition,[status(thm)],[c_29755,c_62]) ).
tcf(c_29800,plain,
sdtpldt0(sz00,sK21(sK21(xa,sz00),sz00)) = sK21(sK21(xa,sz00),sz00),
inference(superposition,[status(thm)],[c_29755,c_57]) ).
tcf(c_29801,plain,
sdtpldt0(sK21(sK21(xa,sz00),sz00),sz00) = sK21(sK21(xa,sz00),sz00),
inference(superposition,[status(thm)],[c_29755,c_56]) ).
tcf(c_32532,plain,
! [X0: $i] :
( ( slsdtgt0(sK21(xb,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,sz00))
| ~ aElementOf0(sK19(sK21(xb,sz00),X0),X0)
| ( sK19(sK21(xb,sz00),X0) != smndt0(sK21(xb,sz00)) ) ),
inference(superposition,[status(thm)],[c_8031,c_131]) ).
tcf(c_32533,plain,
( aElementOf0(smndt0(sK21(xb,sz00)),slsdtgt0(sK21(xb,sz00)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_8031,c_135]) ).
tcf(c_32534,plain,
( doDivides0(sK21(xb,sz00),smndt0(sK21(xb,sz00)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_8031,c_227]) ).
tcf(c_32535,plain,
( ( smndt0(sz10) = sz00 )
| ( sK21(xb,sz00) = sz00 )
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,sz00))
| ( smndt0(sK21(xb,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8031,c_70]) ).
tcf(c_32536,plain,
( aElement0(smndt0(sK21(xb,sz00)))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(sK21(xb,sz00)) ),
inference(superposition,[status(thm)],[c_8031,c_53]) ).
tcf(c_32537,plain,
! [X0: $i] :
( aElementOf0(smndt0(sK21(xb,sz00)),X0)
| ~ aIdeal0(X0)
| ~ aElement0(sK21(xb,sz00))
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(superposition,[status(thm)],[c_8031,c_103]) ).
tcf(c_32538,plain,
( aElement0(smndt0(sK21(xb,sz00)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32536,c_7465]) ).
tcf(c_32541,plain,
( doDivides0(sK21(xb,sz00),smndt0(sK21(xb,sz00)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32534,c_7465]) ).
tcf(c_32544,plain,
( aElementOf0(smndt0(sK21(xb,sz00)),slsdtgt0(sK21(xb,sz00)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32533,c_7465]) ).
tcf(c_32547,plain,
! [X0: $i] :
( aElementOf0(smndt0(sK21(xb,sz00)),X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(smndt0(sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32537,c_7465]) ).
tcf(c_32551,plain,
( ( smndt0(sz10) = sz00 )
| ( sK21(xb,sz00) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(sK21(xb,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32535,c_7465]) ).
tcf(c_32556,plain,
! [X0: $i] :
( ( slsdtgt0(sK21(xb,sz00)) = X0 )
| ~ aSet0(X0)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sK19(sK21(xb,sz00),X0),X0)
| ( sK19(sK21(xb,sz00),X0) != smndt0(sK21(xb,sz00)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32532,c_7465]) ).
tcf(c_32565,plain,
! [X0: $i] :
( ( slsdtgt0(sz00) = X0 )
| ~ aElement0(sz00)
| ~ aSet0(X0)
| ~ aElement0(sK21(sz00,sz00))
| ~ aElementOf0(sK19(sz00,X0),X0)
| ( sK19(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8235,c_131]) ).
tcf(c_32570,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aElement0(sz00)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_8235,c_103]) ).
tcf(c_32571,plain,
! [X0: $i] :
( aElementOf0(sz00,X0)
| ~ aIdeal0(X0)
| ~ aElementOf0(sK21(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32570,c_49]) ).
tcf(c_32577,plain,
( aElementOf0(sz00,slsdtgt0(sK21(sz00,sz00)))
| ~ aElement0(sz00)
| ~ aElement0(sK21(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_8236,c_135]) ).
tcf(c_32578,plain,
( doDivides0(sK21(sz00,sz00),sz00)
| ~ aElement0(sz00)
| ~ aElement0(sK21(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_8236,c_227]) ).
tcf(c_32582,plain,
doDivides0(sK21(sz00,sz00),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_32578,c_49,c_7607]) ).
tcf(c_32583,plain,
aElementOf0(sz00,slsdtgt0(sK21(sz00,sz00))),
inference(forward_subsumption_resolution,[status(thm)],[c_32577,c_49,c_7607]) ).
fof(f105,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& aSet0(X2) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f106,definition,
! [X1,X0] :
( ~ sP1(X1,X0)
| ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> sP0(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(definition_folding,[],[f81,f106,f105]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& ( ~ aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) ) )
| ~ aSet0(X2)
| sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& ( ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) )
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,X1)
& aElementOf0(X4,X0) ) )
& ( ~ aElementOf0(X3,X2)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0) ) ) )
| ~ aSet0(X2)
| sP0(X2,X0,X1) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X8] :
( ( ~ aElementOf0(X8,X0)
| ? [X11,X12] :
( sdtpldt0(X11,X12) = X8
& aElementOf0(X12,X2)
& aElementOf0(X11,X1) ) )
& ( ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X2)
| ~ aElementOf0(X9,X1) )
| aElementOf0(X8,X0) ) )
& aSet0(X0) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X0)
| ? [X6,X7] :
( sdtpldt0(X6,X7) = X3
& aElementOf0(X7,X2)
& aElementOf0(X6,X1) ) )
& ( ~ aElementOf0(X3,X0)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X2)
| ~ aElementOf0(X4,X1) ) ) )
| ~ aSet0(X0)
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X8] :
( ( ~ aElementOf0(X8,X0)
| ( sdtpldt0(sK7(X1,X2,X8),sK8(X1,X2,X8)) = X8
& aElementOf0(sK8(X1,X2,X8),X2)
& aElementOf0(sK7(X1,X2,X8),X1) ) )
& ( ! [X9,X10] :
( sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X2)
| ~ aElementOf0(X9,X1) )
| aElementOf0(X8,X0) ) )
& aSet0(X0) ) )
& ( ( ( aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) = sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2))
& aElementOf0(sK6(X0,X1,X2),X2)
& aElementOf0(sK5(X0,X1,X2),X1) ) )
& ( ~ aElementOf0(sK4(X0,X1,X2),X0)
| ! [X4,X5] :
( sdtpldt0(X4,X5) != sK4(X0,X1,X2)
| ~ aElementOf0(X5,X2)
| ~ aElementOf0(X4,X1) ) ) )
| ~ aSet0(X0)
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X6,sK5(X0,X1,X2)),skolemize(X7,sK6(X0,X1,X2)),skolemize(X11,sK7(X1,X2,X8)),skolemize(X12,sK8(X1,X2,X8))],[f113]) ).
fof(f171,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X8,X0)
| sdtpldt0(sK7(X1,X2,X8),sK8(X1,X2,X8)) = X8 ),
inference(cnf_transformation,[],[f114]) ).
fof(f172,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X8,X0)
| aElementOf0(sK8(X1,X2,X8),X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f173,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X8,X0)
| aElementOf0(sK7(X1,X2,X8),X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f174,plain,
! [X2,X10,X0,X1,X8,X9] :
( ~ sP0(X0,X1,X2)
| sdtpldt0(X9,X10) != X8
| ~ aElementOf0(X10,X2)
| ~ aElementOf0(X9,X1)
| aElementOf0(X8,X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f176,plain,
! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,X2),X0)
| sK4(X0,X1,X2) = sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2))
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f177,plain,
! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,X2),X0)
| aElementOf0(sK6(X0,X1,X2),X2)
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f178,plain,
! [X2,X0,X1] :
( aElementOf0(sK4(X0,X1,X2),X0)
| aElementOf0(sK5(X0,X1,X2),X1)
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f179,plain,
! [X2,X0,X1,X4,X5] :
( ~ aElementOf0(sK4(X0,X1,X2),X0)
| sdtpldt0(X4,X5) != sK4(X0,X1,X2)
| ~ aElementOf0(X5,X2)
| ~ aElementOf0(X4,X1)
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f243,plain,
! [X2,X10,X0,X1,X9] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X10,X2)
| ~ aElementOf0(X9,X1)
| aElementOf0(sdtpldt0(X9,X10),X0) ),
inference(equality_resolution,[],[f174]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(X3,X4) ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK5(X0,X1,X2),X1)
| aElementOf0(sK4(X0,X1,X2),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X2)
| aElementOf0(sK4(X0,X1,X2),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK4(X0,X1,X2),X0)
| ( sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2)) = sK4(X0,X1,X2) )
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSet0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( aElementOf0(sdtpldt0(X3,X4),X0)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(X3,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK7(X1,X2,X3),X1)
| ~ aElementOf0(X3,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sK8(X1,X2,X3),X2)
| ~ aElementOf0(X3,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sK7(X1,X2,X3),sK8(X1,X2,X3)) = X3 )
| ~ aElementOf0(X3,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_10023,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK5(X0,X1,X2))
| aElementOf0(sK4(X0,X1,X2),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_72]) ).
tcf(c_10024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,sdtasasdt0(X1,X2),X3)
| aElementOf0(sK5(X0,sdtasasdt0(X1,X2),X3),X2)
| aElementOf0(sK4(X0,sdtasasdt0(X1,X2),X3),X0)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_95]) ).
tcf(c_10025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,sdtasasdt0(X1,X2),X3)
| aElementOf0(sK5(X0,sdtasasdt0(X1,X2),X3),X1)
| aElementOf0(sK4(X0,sdtasasdt0(X1,X2),X3),X0)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_94]) ).
tcf(c_10026,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,slsdtgt0(X0),X2)
| aElementOf0(sK4(X1,slsdtgt0(X0),X2),X1)
| ( sdtasdt0(X0,sK21(X0,sK5(X1,slsdtgt0(X0),X2))) = sK5(X1,slsdtgt0(X0),X2) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_137]) ).
tcf(c_10027,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,slsdtgt0(X0),X2)
| aElementOf0(sK4(X1,slsdtgt0(X0),X2),X1)
| aElement0(sK21(X0,sK5(X1,slsdtgt0(X0),X2)))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_136]) ).
tcf(c_10028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,xI,X4)
| aElementOf0(sK4(X3,xI,X4),X3)
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK5(X3,xI,X4),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9694]) ).
tcf(c_10029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,xI,X4)
| aElementOf0(sK4(X3,xI,X4),X3)
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK5(X3,xI,X4))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9732]) ).
tcf(c_10030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,xI,X4)
| aElementOf0(sK4(X3,xI,X4),X3)
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK5(X3,xI,X4)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9688]) ).
tcf(c_10031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,xI,X4)
| aElementOf0(sK4(X3,xI,X4),X3)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK5(X3,xI,X4),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9297]) ).
tcf(c_10032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,xI,X3)
| aElementOf0(sK4(X2,xI,X3),X2)
| ( sdtpldt0(sdtpldt0(sK5(X2,xI,X3),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9669]) ).
tcf(c_10033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,xI,X3)
| aElementOf0(sK4(X2,xI,X3),X2)
| ( sdtpldt0(sdtasdt0(X1,sK5(X2,xI,X3)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9664]) ).
tcf(c_10034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,xI,X3)
| aElementOf0(sK4(X2,xI,X3),X2)
| ( sdtasdt0(X1,sdtpldt0(sK5(X2,xI,X3),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9287]) ).
tcf(c_10035,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,xI,X2)
| aElementOf0(sK4(X1,xI,X2),X1)
| ( sdtpldt0(sK5(X1,xI,X2),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9278]) ).
tcf(c_10036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(X8,xI,X9)
| aElementOf0(sK4(X8,xI,X9),X8)
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(X8,xI,X9))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9179]) ).
tcf(c_10037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(X7,xI,X8)
| aElementOf0(sK4(X7,xI,X8),X7)
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(X7,xI,X8)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9147]) ).
tcf(c_10038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(X6,xI,X7)
| aElementOf0(sK4(X6,xI,X7),X6)
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(X6,xI,X7))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9118]) ).
tcf(c_10039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(X5,xI,X6)
| aElementOf0(sK4(X5,xI,X6),X5)
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(X5,xI,X6)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9092]) ).
tcf(c_10040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X4,xI,X5)
| aElementOf0(sK4(X4,xI,X5),X4)
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(X4,xI,X5))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9069]) ).
tcf(c_10041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,xI,X4)
| aElementOf0(sK4(X3,xI,X4),X3)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(X3,xI,X4)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9049]) ).
tcf(c_10042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,xI,X3)
| aElementOf0(sK4(X2,xI,X3),X2)
| ( sdtasdt0(X1,sdtasdt0(X0,sK5(X2,xI,X3))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9032]) ).
tcf(c_10043,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,xI,X2)
| aElementOf0(sK4(X1,xI,X2),X1)
| ( sdtasdt0(X0,sK5(X1,xI,X2)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_8838]) ).
tcf(c_10044,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| aElementOf0(sK4(X0,xI,X1),X0)
| ( sK5(X0,xI,X1) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_5224]) ).
tcf(c_10045,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK4(X0,X1,X2))
| aElementOf0(sK5(X0,X1,X2),X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_72]) ).
tcf(c_10046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),X2,X3)
| aElementOf0(sK5(sdtasasdt0(X0,X1),X2,X3),X2)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_80,c_95]) ).
tcf(c_10047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),X2,X3)
| aElementOf0(sK5(sdtasasdt0(X0,X1),X2,X3),X2)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,X3),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_80,c_94]) ).
tcf(c_10048,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X1,X2)
| aElementOf0(sK5(slsdtgt0(X0),X1,X2),X1)
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),X1,X2))) = sK4(slsdtgt0(X0),X1,X2) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_80,c_137]) ).
tcf(c_10049,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X1,X2)
| aElementOf0(sK5(slsdtgt0(X0),X1,X2),X1)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),X1,X2)))
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_80,c_136]) ).
tcf(c_10050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,X4),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9694]) ).
tcf(c_10051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,X4))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9732]) ).
tcf(c_10052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,X4)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9688]) ).
tcf(c_10053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,X4),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9297]) ).
tcf(c_10054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK5(xI,X2,X3),X2)
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,X3),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9669]) ).
tcf(c_10055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK5(xI,X2,X3),X2)
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,X3)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9664]) ).
tcf(c_10056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK5(xI,X2,X3),X2)
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,X3),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9287]) ).
tcf(c_10057,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sdtpldt0(sK4(xI,X1,X2),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_80,c_9278]) ).
tcf(c_10058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,X8,X9)
| aElementOf0(sK5(xI,X8,X9),X8)
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,X9))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9179]) ).
tcf(c_10059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X7,X8)
| aElementOf0(sK5(xI,X7,X8),X7)
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,X8)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9147]) ).
tcf(c_10060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X6,X7)
| aElementOf0(sK5(xI,X6,X7),X6)
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,X7))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9118]) ).
tcf(c_10061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X5,X6)
| aElementOf0(sK5(xI,X5,X6),X5)
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,X6)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9092]) ).
tcf(c_10062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X4,X5)
| aElementOf0(sK5(xI,X4,X5),X4)
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,X5))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9069]) ).
tcf(c_10063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,X4)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9049]) ).
tcf(c_10064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK5(xI,X2,X3),X2)
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,X3))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_9032]) ).
tcf(c_10065,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sdtasdt0(X0,sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_80,c_8838]) ).
tcf(c_10066,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK5(xI,X0,X1),X0)
| ( sK4(xI,X0,X1) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_5224]) ).
tcf(c_10071,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK5(xI,X0,X1),X0)
| ( sK4(xI,X0,X1) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10066,c_6772]) ).
tcf(c_10084,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sdtasdt0(X0,sK4(xI,X1,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10065,c_6772]) ).
tcf(c_10094,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sdtpldt0(sK4(xI,X1,X2),X0) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10057,c_6772]) ).
tcf(c_10114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK5(xI,X2,X3),X2)
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,X3))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10064,c_6772]) ).
tcf(c_10126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK5(xI,X2,X3),X2)
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,X3),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10056,c_6772]) ).
tcf(c_10132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK5(xI,X2,X3),X2)
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,X3)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10055,c_6772]) ).
tcf(c_10162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK5(xI,X2,X3),X2)
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,X3),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10054,c_6772]) ).
tcf(c_10191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,X4)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10063,c_6772]) ).
tcf(c_10210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,X4),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10053,c_6772]) ).
tcf(c_10217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,X4)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10052,c_6772]) ).
tcf(c_10224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,X4))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10051,c_6772]) ).
tcf(c_10252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK5(xI,X3,X4),X3)
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,X4),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10050,c_6772]) ).
tcf(c_10266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X4,X5)
| aElementOf0(sK5(xI,X4,X5),X4)
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,X5))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10062,c_6772]) ).
tcf(c_10282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X5,X6)
| aElementOf0(sK5(xI,X5,X6),X5)
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,X6)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10061,c_6772]) ).
tcf(c_10300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X6,X7)
| aElementOf0(sK5(xI,X6,X7),X6)
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,X7))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10060,c_6772]) ).
tcf(c_10320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X7,X8)
| aElementOf0(sK5(xI,X7,X8),X7)
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,X8)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10059,c_6772]) ).
tcf(c_10342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,X8,X9)
| aElementOf0(sK5(xI,X8,X9),X8)
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,X9))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10058,c_6772]) ).
tcf(c_10619,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,X1)
| aElement0(sK6(X0,X2,X1))
| aElementOf0(sK4(X0,X2,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_72]) ).
tcf(c_10620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X3,sdtasasdt0(X1,X2))
| aElementOf0(sK6(X0,X3,sdtasasdt0(X1,X2)),X2)
| aElementOf0(sK4(X0,X3,sdtasasdt0(X1,X2)),X0)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_95]) ).
tcf(c_10621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X3,sdtasasdt0(X1,X2))
| aElementOf0(sK6(X0,X3,sdtasasdt0(X1,X2)),X1)
| aElementOf0(sK4(X0,X3,sdtasasdt0(X1,X2)),X0)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_94]) ).
tcf(c_10622,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X2,slsdtgt0(X0))
| aElementOf0(sK4(X1,X2,slsdtgt0(X0)),X1)
| ( sdtasdt0(X0,sK21(X0,sK6(X1,X2,slsdtgt0(X0)))) = sK6(X1,X2,slsdtgt0(X0)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_137]) ).
tcf(c_10623,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X2,slsdtgt0(X0))
| aElementOf0(sK4(X1,X2,slsdtgt0(X0)),X1)
| aElement0(sK21(X0,sK6(X1,X2,slsdtgt0(X0))))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_136]) ).
tcf(c_10624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X4,xI)
| aElementOf0(sK4(X3,X4,xI),X3)
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK6(X3,X4,xI),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9694]) ).
tcf(c_10625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X4,xI)
| aElementOf0(sK4(X3,X4,xI),X3)
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK6(X3,X4,xI))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9732]) ).
tcf(c_10626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X4,xI)
| aElementOf0(sK4(X3,X4,xI),X3)
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK6(X3,X4,xI)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9688]) ).
tcf(c_10627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X4,xI)
| aElementOf0(sK4(X3,X4,xI),X3)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK6(X3,X4,xI),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9297]) ).
tcf(c_10628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X3,xI)
| aElementOf0(sK4(X2,X3,xI),X2)
| ( sdtpldt0(sdtpldt0(sK6(X2,X3,xI),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9669]) ).
tcf(c_10629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X3,xI)
| aElementOf0(sK4(X2,X3,xI),X2)
| ( sdtpldt0(sdtasdt0(X1,sK6(X2,X3,xI)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9664]) ).
tcf(c_10630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X3,xI)
| aElementOf0(sK4(X2,X3,xI),X2)
| ( sdtasdt0(X1,sdtpldt0(sK6(X2,X3,xI),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9287]) ).
tcf(c_10631,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X2,xI)
| aElementOf0(sK4(X1,X2,xI),X1)
| ( sdtpldt0(sK6(X1,X2,xI),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9278]) ).
tcf(c_10632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(X8,X9,xI)
| aElementOf0(sK4(X8,X9,xI),X8)
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(X8,X9,xI))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9179]) ).
tcf(c_10633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(X7,X8,xI)
| aElementOf0(sK4(X7,X8,xI),X7)
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(X7,X8,xI)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9147]) ).
tcf(c_10634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(X6,X7,xI)
| aElementOf0(sK4(X6,X7,xI),X6)
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(X6,X7,xI))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9118]) ).
tcf(c_10635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(X5,X6,xI)
| aElementOf0(sK4(X5,X6,xI),X5)
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(X5,X6,xI)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9092]) ).
tcf(c_10636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X4,X5,xI)
| aElementOf0(sK4(X4,X5,xI),X4)
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(X4,X5,xI))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9069]) ).
tcf(c_10637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X3,X4,xI)
| aElementOf0(sK4(X3,X4,xI),X3)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(X3,X4,xI)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9049]) ).
tcf(c_10638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X3,xI)
| aElementOf0(sK4(X2,X3,xI),X2)
| ( sdtasdt0(X1,sdtasdt0(X0,sK6(X2,X3,xI))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9032]) ).
tcf(c_10639,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X2,xI)
| aElementOf0(sK4(X1,X2,xI),X1)
| ( sdtasdt0(X0,sK6(X1,X2,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_8838]) ).
tcf(c_10640,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| aElementOf0(sK4(X0,X1,xI),X0)
| ( sK6(X0,X1,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_5224]) ).
tcf(c_10641,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK4(X0,X1,X2))
| aElementOf0(sK6(X0,X1,X2),X2)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_72]) ).
tcf(c_10642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),X2,X3)
| aElementOf0(sK6(sdtasasdt0(X0,X1),X2,X3),X3)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_95]) ).
tcf(c_10643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),X2,X3)
| aElementOf0(sK6(sdtasasdt0(X0,X1),X2,X3),X3)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,X3),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_94]) ).
tcf(c_10644,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X1,X2)
| aElementOf0(sK6(slsdtgt0(X0),X1,X2),X2)
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),X1,X2))) = sK4(slsdtgt0(X0),X1,X2) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_81,c_137]) ).
tcf(c_10645,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X1,X2)
| aElementOf0(sK6(slsdtgt0(X0),X1,X2),X2)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),X1,X2)))
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_81,c_136]) ).
tcf(c_10646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,X4),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9694]) ).
tcf(c_10647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,X4))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9732]) ).
tcf(c_10648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,X4)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9688]) ).
tcf(c_10649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,X4),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9297]) ).
tcf(c_10650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK6(xI,X2,X3),X3)
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,X3),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9669]) ).
tcf(c_10651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK6(xI,X2,X3),X3)
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,X3)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9664]) ).
tcf(c_10652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK6(xI,X2,X3),X3)
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,X3),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9287]) ).
tcf(c_10653,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sdtpldt0(sK4(xI,X1,X2),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_81,c_9278]) ).
tcf(c_10654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,X8,X9)
| aElementOf0(sK6(xI,X8,X9),X9)
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,X9))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9179]) ).
tcf(c_10655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X7,X8)
| aElementOf0(sK6(xI,X7,X8),X8)
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,X8)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9147]) ).
tcf(c_10656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X6,X7)
| aElementOf0(sK6(xI,X6,X7),X7)
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,X7))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9118]) ).
tcf(c_10657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X5,X6)
| aElementOf0(sK6(xI,X5,X6),X6)
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,X6)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9092]) ).
tcf(c_10658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X4,X5)
| aElementOf0(sK6(xI,X4,X5),X5)
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,X5))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9069]) ).
tcf(c_10659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,X4)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9049]) ).
tcf(c_10660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK6(xI,X2,X3),X3)
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,X3))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_9032]) ).
tcf(c_10661,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sdtasdt0(X0,sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_81,c_8838]) ).
tcf(c_10662,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK6(xI,X0,X1),X1)
| ( sK4(xI,X0,X1) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_5224]) ).
tcf(c_10667,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK6(xI,X0,X1),X1)
| ( sK4(xI,X0,X1) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10662,c_6772]) ).
tcf(c_10680,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sdtasdt0(X0,sK4(xI,X1,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10661,c_6772]) ).
tcf(c_10690,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sdtpldt0(sK4(xI,X1,X2),X0) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10653,c_6772]) ).
tcf(c_10710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK6(xI,X2,X3),X3)
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,X3))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10660,c_6772]) ).
tcf(c_10722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK6(xI,X2,X3),X3)
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,X3),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10652,c_6772]) ).
tcf(c_10728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK6(xI,X2,X3),X3)
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,X3)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10651,c_6772]) ).
tcf(c_10758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| aElementOf0(sK6(xI,X2,X3),X3)
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,X3),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10650,c_6772]) ).
tcf(c_10787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,X4)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10659,c_6772]) ).
tcf(c_10806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,X4),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10649,c_6772]) ).
tcf(c_10813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,X4)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10648,c_6772]) ).
tcf(c_10820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,X4))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10647,c_6772]) ).
tcf(c_10848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| aElementOf0(sK6(xI,X3,X4),X4)
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,X4),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10646,c_6772]) ).
tcf(c_10862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X4,X5)
| aElementOf0(sK6(xI,X4,X5),X5)
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,X5))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10658,c_6772]) ).
tcf(c_10878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X5,X6)
| aElementOf0(sK6(xI,X5,X6),X6)
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,X6)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10657,c_6772]) ).
tcf(c_10896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X6,X7)
| aElementOf0(sK6(xI,X6,X7),X7)
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,X7))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10656,c_6772]) ).
tcf(c_10916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X7,X8)
| aElementOf0(sK6(xI,X7,X8),X8)
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,X8)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10655,c_6772]) ).
tcf(c_10938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,X8,X9)
| aElementOf0(sK6(xI,X8,X9),X9)
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,X9))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10654,c_6772]) ).
tcf(c_11224,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| aElement0(sK4(X0,xI,X1))
| ( sK5(X0,xI,X1) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_72]) ).
tcf(c_11225,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X2)
| aElementOf0(sK4(sdtasasdt0(X0,X1),xI,X2),X1)
| ( sK5(sdtasasdt0(X0,X1),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10044,c_95]) ).
tcf(c_11226,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X2)
| aElementOf0(sK4(sdtasasdt0(X0,X1),xI,X2),X0)
| ( sK5(sdtasasdt0(X0,X1),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10044,c_94]) ).
tcf(c_11227,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sK4(slsdtgt0(X0),xI,X1) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_10044,c_137]) ).
tcf(c_11228,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)))
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_10044,c_136]) ).
tcf(c_11229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,xI,X3),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10044,c_9694]) ).
tcf(c_11230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,xI,X3))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10044,c_9732]) ).
tcf(c_11231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X3)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10044,c_9688]) ).
tcf(c_11232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X3),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10044,c_9297]) ).
tcf(c_11233,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,xI,X2),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10044,c_9669]) ).
tcf(c_11234,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X2)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10044,c_9664]) ).
tcf(c_11235,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X2),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10044,c_9287]) ).
tcf(c_11236,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10044,c_9278]) ).
tcf(c_11237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,xI,X8)
| ( sK5(xI,xI,X8) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X8))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_9179]) ).
tcf(c_11238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,xI,X7)
| ( sK5(xI,xI,X7) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X7)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_9147]) ).
tcf(c_11239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,xI,X6)
| ( sK5(xI,xI,X6) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X6))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_9118]) ).
tcf(c_11240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,xI,X5)
| ( sK5(xI,xI,X5) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X5)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_9092]) ).
tcf(c_11241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X4)
| ( sK5(xI,xI,X4) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X4))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_9069]) ).
tcf(c_11242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X3)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_9049]) ).
tcf(c_11243,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X2))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_9032]) ).
tcf(c_11244,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10044,c_8838]) ).
tcf(c_11245,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_5224]) ).
tcf(c_11250,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11245,c_6772]) ).
tcf(c_11254,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK4(xI,xI,X1)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11244,c_6772]) ).
tcf(c_11259,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),X0) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11236,c_6772]) ).
tcf(c_11269,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X2))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11243,c_6772]) ).
tcf(c_11275,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X2),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11235,c_6772]) ).
tcf(c_11281,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X2)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11234,c_6772]) ).
tcf(c_11287,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,xI,X2),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11233,c_6772]) ).
tcf(c_11305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X3)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11242,c_6772]) ).
tcf(c_11317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X3),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11232,c_6772]) ).
tcf(c_11324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X3)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11231,c_6772]) ).
tcf(c_11331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,xI,X3))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11230,c_6772]) ).
tcf(c_11338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,xI,X3),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11229,c_6772]) ).
tcf(c_11345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X4)
| ( sK5(xI,xI,X4) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X4))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11241,c_6772]) ).
tcf(c_11353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,xI,X5)
| ( sK5(xI,xI,X5) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X5)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11240,c_6772]) ).
tcf(c_11362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,xI,X6)
| ( sK5(xI,xI,X6) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X6))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11239,c_6772]) ).
tcf(c_11372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,xI,X7)
| ( sK5(xI,xI,X7) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X7)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11238,c_6772]) ).
tcf(c_11383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,xI,X8)
| ( sK5(xI,xI,X8) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X8))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11237,c_6772]) ).
tcf(c_11546,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| aElement0(sK4(X0,X1,xI))
| ( sK6(X0,X1,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_72]) ).
tcf(c_11547,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),X2,xI)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,xI),X1)
| ( sK6(sdtasasdt0(X0,X1),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10640,c_95]) ).
tcf(c_11548,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),X2,xI)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,xI),X0)
| ( sK6(sdtasasdt0(X0,X1),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10640,c_94]) ).
tcf(c_11549,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sK4(slsdtgt0(X0),X1,xI) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_10640,c_137]) ).
tcf(c_11550,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)))
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_10640,c_136]) ).
tcf(c_11551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10640,c_9694]) ).
tcf(c_11552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10640,c_9732]) ).
tcf(c_11553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10640,c_9688]) ).
tcf(c_11554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10640,c_9297]) ).
tcf(c_11555,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10640,c_9669]) ).
tcf(c_11556,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10640,c_9664]) ).
tcf(c_11557,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10640,c_9287]) ).
tcf(c_11558,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10640,c_9278]) ).
tcf(c_11559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X8,xI)
| ( sK6(xI,X8,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_9179]) ).
tcf(c_11560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X7,xI)
| ( sK6(xI,X7,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_9147]) ).
tcf(c_11561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X6,xI)
| ( sK6(xI,X6,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_9118]) ).
tcf(c_11562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X5,xI)
| ( sK6(xI,X5,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_9092]) ).
tcf(c_11563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X4,xI)
| ( sK6(xI,X4,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_9069]) ).
tcf(c_11564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_9049]) ).
tcf(c_11565,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_9032]) ).
tcf(c_11566,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10640,c_8838]) ).
tcf(c_11567,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_5224]) ).
tcf(c_11572,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11567,c_6772]) ).
tcf(c_11576,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK4(xI,X1,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11566,c_6772]) ).
tcf(c_11581,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),X0) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11558,c_6772]) ).
tcf(c_11591,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11565,c_6772]) ).
tcf(c_11597,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,xI),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11557,c_6772]) ).
tcf(c_11603,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,xI)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11556,c_6772]) ).
tcf(c_11609,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,xI),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11555,c_6772]) ).
tcf(c_11627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,xI)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11564,c_6772]) ).
tcf(c_11639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,xI),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11554,c_6772]) ).
tcf(c_11646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,xI)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11553,c_6772]) ).
tcf(c_11653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,xI))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11552,c_6772]) ).
tcf(c_11660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK6(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,xI),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11551,c_6772]) ).
tcf(c_11667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X4,xI)
| ( sK6(xI,X4,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,xI))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11563,c_6772]) ).
tcf(c_11675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X5,xI)
| ( sK6(xI,X5,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,xI)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11562,c_6772]) ).
tcf(c_11684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X6,xI)
| ( sK6(xI,X6,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,xI))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11561,c_6772]) ).
tcf(c_11694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X7,xI)
| ( sK6(xI,X7,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,xI)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11560,c_6772]) ).
tcf(c_11705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X8,xI)
| ( sK6(xI,X8,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,xI))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11559,c_6772]) ).
tcf(c_11768,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElement0(sK5(xI,X0,X1))
| ( sK4(xI,X0,X1) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_72]) ).
tcf(c_11769,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,sdtasasdt0(X0,X1),X2)
| aElementOf0(sK5(xI,sdtasasdt0(X0,X1),X2),X1)
| ( sK4(xI,sdtasasdt0(X0,X1),X2) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_95]) ).
tcf(c_11770,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,sdtasasdt0(X0,X1),X2)
| aElementOf0(sK5(xI,sdtasasdt0(X0,X1),X2),X0)
| ( sK4(xI,sdtasasdt0(X0,X1),X2) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_94]) ).
tcf(c_11771,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = sK5(xI,slsdtgt0(X0),X1) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_137]) ).
tcf(c_11772,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| aElement0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)))
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_136]) ).
tcf(c_11773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK5(xI,xI,X3),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10071,c_9694]) ).
tcf(c_11774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK5(xI,xI,X3))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10071,c_9732]) ).
tcf(c_11775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK5(xI,xI,X3)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10071,c_9688]) ).
tcf(c_11776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK5(xI,xI,X3),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10071,c_9297]) ).
tcf(c_11777,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sdtpldt0(sK5(xI,xI,X2),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10071,c_9669]) ).
tcf(c_11778,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK5(xI,xI,X2)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10071,c_9664]) ).
tcf(c_11779,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK5(xI,xI,X2),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10071,c_9287]) ).
tcf(c_11780,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),X0) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10071,c_9278]) ).
tcf(c_11781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,xI,X8)
| ( sK4(xI,xI,X8) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(xI,xI,X8))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_9179]) ).
tcf(c_11782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,xI,X7)
| ( sK4(xI,xI,X7) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(xI,xI,X7)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_9147]) ).
tcf(c_11783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,xI,X6)
| ( sK4(xI,xI,X6) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(xI,xI,X6))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_9118]) ).
tcf(c_11784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,xI,X5)
| ( sK4(xI,xI,X5) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(xI,xI,X5)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_9092]) ).
tcf(c_11785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X4)
| ( sK4(xI,xI,X4) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(xI,xI,X4))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_9069]) ).
tcf(c_11786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK5(xI,xI,X3)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_9049]) ).
tcf(c_11787,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK5(xI,xI,X2))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_9032]) ).
tcf(c_11788,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK5(xI,xI,X1)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10071,c_8838]) ).
tcf(c_12036,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| aElement0(sK6(xI,X1,X0))
| ( sK4(xI,X1,X0) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_72]) ).
tcf(c_12037,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,sdtasasdt0(X0,X1))
| aElementOf0(sK6(xI,X2,sdtasasdt0(X0,X1)),X1)
| ( sK4(xI,X2,sdtasasdt0(X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_95]) ).
tcf(c_12038,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,sdtasasdt0(X0,X1))
| aElementOf0(sK6(xI,X2,sdtasasdt0(X0,X1)),X0)
| ( sK4(xI,X2,sdtasasdt0(X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_94]) ).
tcf(c_12039,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = sK6(xI,X1,slsdtgt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_137]) ).
tcf(c_12040,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| aElement0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_136]) ).
tcf(c_12041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK4(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK6(xI,X3,xI),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10667,c_9694]) ).
tcf(c_12042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK4(xI,X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK6(xI,X3,xI))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10667,c_9732]) ).
tcf(c_12043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK4(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK6(xI,X3,xI)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10667,c_9688]) ).
tcf(c_12044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK4(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK6(xI,X3,xI),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10667,c_9297]) ).
tcf(c_12045,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK6(xI,X2,xI),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10667,c_9669]) ).
tcf(c_12046,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK6(xI,X2,xI)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10667,c_9664]) ).
tcf(c_12047,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK6(xI,X2,xI),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10667,c_9287]) ).
tcf(c_12048,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),X0) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_10667,c_9278]) ).
tcf(c_12049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X8,xI)
| ( sK4(xI,X8,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(xI,X8,xI))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_9179]) ).
tcf(c_12050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X7,xI)
| ( sK4(xI,X7,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(xI,X7,xI)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_9147]) ).
tcf(c_12051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X6,xI)
| ( sK4(xI,X6,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(xI,X6,xI))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_9118]) ).
tcf(c_12052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X5,xI)
| ( sK4(xI,X5,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(xI,X5,xI)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_9092]) ).
tcf(c_12053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X4,xI)
| ( sK4(xI,X4,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(xI,X4,xI))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_9069]) ).
tcf(c_12054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK4(xI,X3,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK6(xI,X3,xI)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_9049]) ).
tcf(c_12055,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK6(xI,X2,xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_9032]) ).
tcf(c_12056,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK6(xI,X1,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10667,c_8838]) ).
tcf(c_12251,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X2,X0),xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_11250,c_84]) ).
tcf(c_12252,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK8(xI,X1,X0),X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_11250,c_86]) ).
tcf(c_12253,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK7(xI,X1,X0),xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_11250,c_85]) ).
tcf(c_12277,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X0,X2),xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_11572,c_84]) ).
tcf(c_12278,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK8(X1,xI,X0),xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_11572,c_86]) ).
tcf(c_12279,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK7(X1,xI,X0),X1)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_11572,c_85]) ).
tcf(c_12305,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,xI,X2)
| ( sK5(X1,xI,X2) = sz00 )
| ( sdtasdt0(sK4(X1,xI,X2),X0) = sdtasdt0(X0,sK4(X1,xI,X2)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_60]) ).
tcf(c_12306,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,xI,X2)
| ( sK5(X1,xI,X2) = sz00 )
| ( sdtpldt0(sK4(X1,xI,X2),X0) = sdtpldt0(X0,sK4(X1,xI,X2)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_54]) ).
tcf(c_12307,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sK4(X0,xI,X1),smndt0(sz10)) = smndt0(sK4(X0,xI,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_67]) ).
tcf(c_12308,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK4(X0,xI,X1)) = smndt0(sK4(X0,xI,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_66]) ).
tcf(c_12309,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK4(X0,xI,X1))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_6856]) ).
tcf(c_12310,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(smndt0(sK4(X0,xI,X1)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_6844]) ).
tcf(c_12311,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtpldt0(smndt0(sK4(X0,xI,X1)),sK4(X0,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_59]) ).
tcf(c_12312,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtpldt0(sK4(X0,xI,X1),smndt0(sK4(X0,xI,X1))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_58]) ).
tcf(c_12313,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sz00,sK4(X0,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_69]) ).
tcf(c_12314,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sK4(X0,xI,X1),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_68]) ).
tcf(c_12315,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sz10,sK4(X0,xI,X1)) = sK4(X0,xI,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_63]) ).
tcf(c_12316,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sK4(X0,xI,X1),sz10) = sK4(X0,xI,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_62]) ).
tcf(c_12317,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtpldt0(sz00,sK4(X0,xI,X1)) = sK4(X0,xI,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_57]) ).
tcf(c_12318,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtpldt0(sK4(X0,xI,X1),sz00) = sK4(X0,xI,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_56]) ).
tcf(c_12460,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X2,xI)
| ( sK6(X1,X2,xI) = sz00 )
| ( sdtasdt0(sK4(X1,X2,xI),X0) = sdtasdt0(X0,sK4(X1,X2,xI)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_60]) ).
tcf(c_12461,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X2,xI)
| ( sK6(X1,X2,xI) = sz00 )
| ( sdtpldt0(sK4(X1,X2,xI),X0) = sdtpldt0(X0,sK4(X1,X2,xI)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_54]) ).
tcf(c_12462,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sK4(X0,X1,xI),smndt0(sz10)) = smndt0(sK4(X0,X1,xI)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_67]) ).
tcf(c_12463,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK4(X0,X1,xI)) = smndt0(sK4(X0,X1,xI)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_66]) ).
tcf(c_12464,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK4(X0,X1,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_6856]) ).
tcf(c_12465,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(smndt0(sK4(X0,X1,xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_6844]) ).
tcf(c_12466,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtpldt0(smndt0(sK4(X0,X1,xI)),sK4(X0,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_59]) ).
tcf(c_12467,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtpldt0(sK4(X0,X1,xI),smndt0(sK4(X0,X1,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_58]) ).
tcf(c_12468,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sz00,sK4(X0,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_69]) ).
tcf(c_12469,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sK4(X0,X1,xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_68]) ).
tcf(c_12470,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sz10,sK4(X0,X1,xI)) = sK4(X0,X1,xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_63]) ).
tcf(c_12471,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sK4(X0,X1,xI),sz10) = sK4(X0,X1,xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_62]) ).
tcf(c_12472,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtpldt0(sz00,sK4(X0,X1,xI)) = sK4(X0,X1,xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_57]) ).
tcf(c_12473,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtpldt0(sK4(X0,X1,xI),sz00) = sK4(X0,X1,xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_56]) ).
tcf(c_13487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,xI,X3)
| ( sK5(X2,xI,X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(X2,xI,X3),X0),X1) = sdtpldt0(sK4(X2,xI,X3),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_55]) ).
tcf(c_13488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X3,xI)
| ( sK6(X2,X3,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(X2,X3,xI),X0),X1) = sdtpldt0(sK4(X2,X3,xI),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_55]) ).
tcf(c_13686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,xI,X3)
| ( sK5(X2,xI,X3) = sz00 )
| ( sdtasdt0(sdtasdt0(sK4(X2,xI,X3),X0),X1) = sdtasdt0(sK4(X2,xI,X3),sdtasdt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_61]) ).
tcf(c_13687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X3,xI)
| ( sK6(X2,X3,xI) = sz00 )
| ( sdtasdt0(sdtasdt0(sK4(X2,X3,xI),X0),X1) = sdtasdt0(sK4(X2,X3,xI),sdtasdt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_61]) ).
tcf(c_14149,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)))
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ~ aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_11228,c_134,c_11228]) ).
tcf(c_14160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(slsdtgt0(X0),xI,X3)
| ( sK5(slsdtgt0(X0),xI,X3) = sz00 )
| ( sdtasdt0(sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X3)),X1),X2) = sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X3)),sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_61]) ).
tcf(c_14161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(slsdtgt0(X0),xI,X3)
| ( sK5(slsdtgt0(X0),xI,X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),xI,X3)),X1),X2) = sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),xI,X3)),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_55]) ).
tcf(c_14162,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),xI,X2)
| ( sK5(slsdtgt0(X0),xI,X2) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X2)),X1) = sdtasdt0(X1,sK21(X0,sK4(slsdtgt0(X0),xI,X2))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_60]) ).
tcf(c_14163,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),xI,X2)
| ( sK5(slsdtgt0(X0),xI,X2) = sz00 )
| ( sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),xI,X2)),X1) = sdtpldt0(X1,sK21(X0,sK4(slsdtgt0(X0),xI,X2))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_54]) ).
tcf(c_14164,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),smndt0(sz10)) = smndt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_67]) ).
tcf(c_14165,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = smndt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_66]) ).
tcf(c_14166,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_6856]) ).
tcf(c_14167,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(smndt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_6844]) ).
tcf(c_14168,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtpldt0(smndt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))),sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_59]) ).
tcf(c_14169,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),smndt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_58]) ).
tcf(c_14170,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sz00,sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_69]) ).
tcf(c_14171,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_68]) ).
tcf(c_14172,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sz10,sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sK21(X0,sK4(slsdtgt0(X0),xI,X1)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_63]) ).
tcf(c_14173,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),sz10) = sK21(X0,sK4(slsdtgt0(X0),xI,X1)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_62]) ).
tcf(c_14174,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtpldt0(sz00,sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sK21(X0,sK4(slsdtgt0(X0),xI,X1)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_57]) ).
tcf(c_14175,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),sz00) = sK21(X0,sK4(slsdtgt0(X0),xI,X1)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_56]) ).
tcf(c_14262,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)))
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ~ aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_11550,c_134,c_11550]) ).
tcf(c_14273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(slsdtgt0(X0),X3,xI)
| ( sK6(slsdtgt0(X0),X3,xI) = sz00 )
| ( sdtasdt0(sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X3,xI)),X1),X2) = sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X3,xI)),sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_61]) ).
tcf(c_14274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(slsdtgt0(X0),X3,xI)
| ( sK6(slsdtgt0(X0),X3,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),X3,xI)),X1),X2) = sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),X3,xI)),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_55]) ).
tcf(c_14275,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X2,xI)
| ( sK6(slsdtgt0(X0),X2,xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X2,xI)),X1) = sdtasdt0(X1,sK21(X0,sK4(slsdtgt0(X0),X2,xI))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_60]) ).
tcf(c_14276,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X2,xI)
| ( sK6(slsdtgt0(X0),X2,xI) = sz00 )
| ( sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),X2,xI)),X1) = sdtpldt0(X1,sK21(X0,sK4(slsdtgt0(X0),X2,xI))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_54]) ).
tcf(c_14277,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),smndt0(sz10)) = smndt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_67]) ).
tcf(c_14278,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = smndt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_66]) ).
tcf(c_14279,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_6856]) ).
tcf(c_14280,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(smndt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_6844]) ).
tcf(c_14281,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtpldt0(smndt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))),sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_59]) ).
tcf(c_14282,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),smndt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_58]) ).
tcf(c_14283,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sz00,sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_69]) ).
tcf(c_14284,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_68]) ).
tcf(c_14285,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sz10,sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sK21(X0,sK4(slsdtgt0(X0),X1,xI)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_63]) ).
tcf(c_14286,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),sz10) = sK21(X0,sK4(slsdtgt0(X0),X1,xI)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_62]) ).
tcf(c_14287,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtpldt0(sz00,sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sK21(X0,sK4(slsdtgt0(X0),X1,xI)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_57]) ).
tcf(c_14288,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtpldt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),sz00) = sK21(X0,sK4(slsdtgt0(X0),X1,xI)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_56]) ).
tcf(c_14449,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X2)
| aElementOf0(sK4(sdtasasdt0(X0,X1),xI,X2),X1)
| ( sK5(sdtasasdt0(X0,X1),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_11225,c_92,c_11225]) ).
tcf(c_14462,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X2)
| aElement0(sK4(sdtasasdt0(X0,X1),xI,X2))
| ( sK5(sdtasasdt0(X0,X1),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_72]) ).
tcf(c_14463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,sdtasasdt0(X0,X1)),xI,X3)
| aElementOf0(sK4(sdtasasdt0(X2,sdtasasdt0(X0,X1)),xI,X3),X1)
| ( sK5(sdtasasdt0(X2,sdtasasdt0(X0,X1)),xI,X3) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_14449,c_95]) ).
tcf(c_14464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,sdtasasdt0(X0,X1)),xI,X3)
| aElementOf0(sK4(sdtasasdt0(X2,sdtasasdt0(X0,X1)),xI,X3),X0)
| ( sK5(sdtasasdt0(X2,sdtasasdt0(X0,X1)),xI,X3) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_14449,c_94]) ).
tcf(c_14465,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,slsdtgt0(X0)),xI,X2)
| ( sK5(sdtasasdt0(X1,slsdtgt0(X0)),xI,X2) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(sdtasasdt0(X1,slsdtgt0(X0)),xI,X2))) = sK4(sdtasasdt0(X1,slsdtgt0(X0)),xI,X2) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_14449,c_137]) ).
tcf(c_14466,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,slsdtgt0(X0)),xI,X2)
| aElement0(sK21(X0,sK4(sdtasasdt0(X1,slsdtgt0(X0)),xI,X2)))
| ( sK5(sdtasasdt0(X1,slsdtgt0(X0)),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_14449,c_136]) ).
tcf(c_14467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(sdtasasdt0(X3,xI),xI,X4),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14449,c_9694]) ).
tcf(c_14468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(sdtasasdt0(X3,xI),xI,X4))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14449,c_9732]) ).
tcf(c_14469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(X3,xI),xI,X4)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14449,c_9688]) ).
tcf(c_14470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(X3,xI),xI,X4),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14449,c_9297]) ).
tcf(c_14471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),xI,X3)
| ( sK5(sdtasasdt0(X2,xI),xI,X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(sdtasasdt0(X2,xI),xI,X3),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14449,c_9669]) ).
tcf(c_14472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),xI,X3)
| ( sK5(sdtasasdt0(X2,xI),xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(X2,xI),xI,X3)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14449,c_9664]) ).
tcf(c_14473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),xI,X3)
| ( sK5(sdtasasdt0(X2,xI),xI,X3) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(X2,xI),xI,X3),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14449,c_9287]) ).
tcf(c_14474,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,xI),xI,X2)
| ( sK5(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK4(sdtasasdt0(X1,xI),xI,X2),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14449,c_9278]) ).
tcf(c_14475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(sdtasasdt0(X8,xI),xI,X9)
| ( sK5(sdtasasdt0(X8,xI),xI,X9) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X8,xI),xI,X9))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_9179]) ).
tcf(c_14476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(sdtasasdt0(X7,xI),xI,X8)
| ( sK5(sdtasasdt0(X7,xI),xI,X8) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X7,xI),xI,X8)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_9147]) ).
tcf(c_14477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sdtasasdt0(X6,xI),xI,X7)
| ( sK5(sdtasasdt0(X6,xI),xI,X7) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X6,xI),xI,X7))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_9118]) ).
tcf(c_14478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sdtasasdt0(X5,xI),xI,X6)
| ( sK5(sdtasasdt0(X5,xI),xI,X6) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X5,xI),xI,X6)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_9092]) ).
tcf(c_14479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sdtasasdt0(X4,xI),xI,X5)
| ( sK5(sdtasasdt0(X4,xI),xI,X5) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X4,xI),xI,X5))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_9069]) ).
tcf(c_14480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X3,xI),xI,X4)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_9049]) ).
tcf(c_14481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),xI,X3)
| ( sK5(sdtasasdt0(X2,xI),xI,X3) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X2,xI),xI,X3))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_9032]) ).
tcf(c_14482,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,xI),xI,X2)
| ( sK5(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ( sdtasdt0(X0,sK4(sdtasasdt0(X1,xI),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_8838]) ).
tcf(c_14483,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X1)
| ( sK5(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ( sK4(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_5224]) ).
tcf(c_14489,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X1)
| ( sK5(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ( sK4(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14483,c_6772]) ).
tcf(c_14494,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,xI),xI,X2)
| ( sK5(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ( sdtasdt0(X0,sK4(sdtasasdt0(X1,xI),xI,X2)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14482,c_6772]) ).
tcf(c_14500,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,xI),xI,X2)
| ( sK5(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK4(sdtasasdt0(X1,xI),xI,X2),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14474,c_6772]) ).
tcf(c_14512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),xI,X3)
| ( sK5(sdtasasdt0(X2,xI),xI,X3) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X2,xI),xI,X3))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14481,c_6772]) ).
tcf(c_14519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),xI,X3)
| ( sK5(sdtasasdt0(X2,xI),xI,X3) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(X2,xI),xI,X3),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14473,c_6772]) ).
tcf(c_14526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),xI,X3)
| ( sK5(sdtasasdt0(X2,xI),xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(X2,xI),xI,X3)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14472,c_6772]) ).
tcf(c_14533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),xI,X3)
| ( sK5(sdtasasdt0(X2,xI),xI,X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(sdtasasdt0(X2,xI),xI,X3),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14471,c_6772]) ).
tcf(c_14554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X3,xI),xI,X4)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14480,c_6772]) ).
tcf(c_14562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(X3,xI),xI,X4),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14470,c_6772]) ).
tcf(c_14570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(X3,xI),xI,X4)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14469,c_6772]) ).
tcf(c_14578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(sdtasasdt0(X3,xI),xI,X4))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14468,c_6772]) ).
tcf(c_14586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),xI,X4)
| ( sK5(sdtasasdt0(X3,xI),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(sdtasasdt0(X3,xI),xI,X4),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14467,c_6772]) ).
tcf(c_14600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sdtasasdt0(X4,xI),xI,X5)
| ( sK5(sdtasasdt0(X4,xI),xI,X5) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X4,xI),xI,X5))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14479,c_6772]) ).
tcf(c_14609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sdtasasdt0(X5,xI),xI,X6)
| ( sK5(sdtasasdt0(X5,xI),xI,X6) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X5,xI),xI,X6)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14478,c_6772]) ).
tcf(c_14619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sdtasasdt0(X6,xI),xI,X7)
| ( sK5(sdtasasdt0(X6,xI),xI,X7) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X6,xI),xI,X7))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14477,c_6772]) ).
tcf(c_14630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(sdtasasdt0(X7,xI),xI,X8)
| ( sK5(sdtasasdt0(X7,xI),xI,X8) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X7,xI),xI,X8)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14476,c_6772]) ).
tcf(c_14642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(sdtasasdt0(X8,xI),xI,X9)
| ( sK5(sdtasasdt0(X8,xI),xI,X9) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X8,xI),xI,X9))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14475,c_6772]) ).
tcf(c_14740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X2,X0),sdtasasdt0(X3,xI))
| ( sK5(sdtasasdt0(X3,xI),xI,X1) = sz00 )
| ( sK4(sdtasasdt0(X3,xI),xI,X1) = sz00 )
| ~ aSet0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_14489,c_84]) ).
tcf(c_14741,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(xI,X2,X0),X2)
| ( sK5(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ( sK4(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(X1,xI)) ),
inference(superposition,[status(thm)],[c_14489,c_86]) ).
tcf(c_14742,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(xI,X2,X0),xI)
| ( sK5(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ( sK4(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(X1,xI)) ),
inference(superposition,[status(thm)],[c_14489,c_85]) ).
tcf(c_14743,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtasasdt0(X0,xI))
| ( sK5(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ( sK4(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14489,c_83]) ).
tcf(c_14768,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X2)
| aElementOf0(sK4(sdtasasdt0(X0,X1),xI,X2),X0)
| ( sK5(sdtasasdt0(X0,X1),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_11226,c_92,c_11226]) ).
tcf(c_14781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(sdtasasdt0(X0,X1),X2),xI,X3)
| aElementOf0(sK4(sdtasasdt0(sdtasasdt0(X0,X1),X2),xI,X3),X1)
| ( sK5(sdtasasdt0(sdtasasdt0(X0,X1),X2),xI,X3) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_14768,c_95]) ).
tcf(c_14782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(sdtasasdt0(X0,X1),X2),xI,X3)
| aElementOf0(sK4(sdtasasdt0(sdtasasdt0(X0,X1),X2),xI,X3),X0)
| ( sK5(sdtasasdt0(sdtasasdt0(X0,X1),X2),xI,X3) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_14768,c_94]) ).
tcf(c_14783,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(slsdtgt0(X0),X1),xI,X2)
| ( sK5(sdtasasdt0(slsdtgt0(X0),X1),xI,X2) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(sdtasasdt0(slsdtgt0(X0),X1),xI,X2))) = sK4(sdtasasdt0(slsdtgt0(X0),X1),xI,X2) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_14768,c_137]) ).
tcf(c_14784,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(slsdtgt0(X0),X1),xI,X2)
| aElement0(sK21(X0,sK4(sdtasasdt0(slsdtgt0(X0),X1),xI,X2)))
| ( sK5(sdtasasdt0(slsdtgt0(X0),X1),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_14768,c_136]) ).
tcf(c_14785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(sdtasasdt0(xI,X3),xI,X4),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14768,c_9694]) ).
tcf(c_14786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(sdtasasdt0(xI,X3),xI,X4))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14768,c_9732]) ).
tcf(c_14787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(xI,X3),xI,X4)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14768,c_9688]) ).
tcf(c_14788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(xI,X3),xI,X4),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14768,c_9297]) ).
tcf(c_14789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),xI,X3)
| ( sK5(sdtasasdt0(xI,X2),xI,X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(sdtasasdt0(xI,X2),xI,X3),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14768,c_9669]) ).
tcf(c_14790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),xI,X3)
| ( sK5(sdtasasdt0(xI,X2),xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(xI,X2),xI,X3)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14768,c_9664]) ).
tcf(c_14791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),xI,X3)
| ( sK5(sdtasasdt0(xI,X2),xI,X3) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(xI,X2),xI,X3),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14768,c_9287]) ).
tcf(c_14792,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X1),xI,X2)
| ( sK5(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ( sdtpldt0(sK4(sdtasasdt0(xI,X1),xI,X2),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_14768,c_9278]) ).
tcf(c_14793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(sdtasasdt0(xI,X8),xI,X9)
| ( sK5(sdtasasdt0(xI,X8),xI,X9) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X8),xI,X9))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_9179]) ).
tcf(c_14794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(sdtasasdt0(xI,X7),xI,X8)
| ( sK5(sdtasasdt0(xI,X7),xI,X8) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X7),xI,X8)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_9147]) ).
tcf(c_14795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sdtasasdt0(xI,X6),xI,X7)
| ( sK5(sdtasasdt0(xI,X6),xI,X7) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X6),xI,X7))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_9118]) ).
tcf(c_14796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sdtasasdt0(xI,X5),xI,X6)
| ( sK5(sdtasasdt0(xI,X5),xI,X6) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X5),xI,X6)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_9092]) ).
tcf(c_14797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sdtasasdt0(xI,X4),xI,X5)
| ( sK5(sdtasasdt0(xI,X4),xI,X5) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X4),xI,X5))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_9069]) ).
tcf(c_14798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X3),xI,X4)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_9049]) ).
tcf(c_14799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),xI,X3)
| ( sK5(sdtasasdt0(xI,X2),xI,X3) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X2),xI,X3))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_9032]) ).
tcf(c_14800,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X1),xI,X2)
| ( sK5(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ( sdtasdt0(X0,sK4(sdtasasdt0(xI,X1),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_8838]) ).
tcf(c_14801,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X1)
| ( sK5(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ( sK4(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_5224]) ).
tcf(c_14802,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X1)
| ( sK5(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ( sK4(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14801,c_6772]) ).
tcf(c_14807,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X1),xI,X2)
| ( sK5(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ( sdtasdt0(X0,sK4(sdtasasdt0(xI,X1),xI,X2)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14800,c_6772]) ).
tcf(c_14813,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X1),xI,X2)
| ( sK5(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ( sdtpldt0(sK4(sdtasasdt0(xI,X1),xI,X2),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14792,c_6772]) ).
tcf(c_14825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),xI,X3)
| ( sK5(sdtasasdt0(xI,X2),xI,X3) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X2),xI,X3))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14799,c_6772]) ).
tcf(c_14832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),xI,X3)
| ( sK5(sdtasasdt0(xI,X2),xI,X3) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(xI,X2),xI,X3),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14791,c_6772]) ).
tcf(c_14839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),xI,X3)
| ( sK5(sdtasasdt0(xI,X2),xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(xI,X2),xI,X3)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14790,c_6772]) ).
tcf(c_14846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),xI,X3)
| ( sK5(sdtasasdt0(xI,X2),xI,X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(sdtasasdt0(xI,X2),xI,X3),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14789,c_6772]) ).
tcf(c_14867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X3),xI,X4)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14798,c_6772]) ).
tcf(c_14875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(xI,X3),xI,X4),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14788,c_6772]) ).
tcf(c_14883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(xI,X3),xI,X4)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14787,c_6772]) ).
tcf(c_14891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(sdtasasdt0(xI,X3),xI,X4))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14786,c_6772]) ).
tcf(c_14899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),xI,X4)
| ( sK5(sdtasasdt0(xI,X3),xI,X4) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(sdtasasdt0(xI,X3),xI,X4),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14785,c_6772]) ).
tcf(c_14913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sdtasasdt0(xI,X4),xI,X5)
| ( sK5(sdtasasdt0(xI,X4),xI,X5) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X4),xI,X5))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14797,c_6772]) ).
tcf(c_14922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sdtasasdt0(xI,X5),xI,X6)
| ( sK5(sdtasasdt0(xI,X5),xI,X6) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X5),xI,X6)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14796,c_6772]) ).
tcf(c_14932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sdtasasdt0(xI,X6),xI,X7)
| ( sK5(sdtasasdt0(xI,X6),xI,X7) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X6),xI,X7))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14795,c_6772]) ).
tcf(c_14943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(sdtasasdt0(xI,X7),xI,X8)
| ( sK5(sdtasasdt0(xI,X7),xI,X8) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X7),xI,X8)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14794,c_6772]) ).
tcf(c_14955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(sdtasasdt0(xI,X8),xI,X9)
| ( sK5(sdtasasdt0(xI,X8),xI,X9) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X8),xI,X9))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14793,c_6772]) ).
tcf(c_15159,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK7(xI,X1,X0),sK8(xI,X1,X0)) = X0 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_11250,c_87]) ).
tcf(c_15160,plain,
! [X0: $i,X1: $i] :
( ( sK6(xI,X1,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK7(X1,xI,X0),sK8(X1,xI,X0)) = X0 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_11572,c_87]) ).
tcf(c_15161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ( sK4(sdtasasdt0(X1,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK7(xI,X2,X0),sK8(xI,X2,X0)) = X0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(X1,xI)) ),
inference(superposition,[status(thm)],[c_14489,c_87]) ).
tcf(c_15339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ( sK4(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ( sdtpldt0(sK7(xI,X2,X0),sK8(xI,X2,X0)) = X0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(xI,X1)) ),
inference(superposition,[status(thm)],[c_14802,c_87]) ).
tcf(c_15340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X2,X0),sdtasasdt0(xI,X3))
| ( sK5(sdtasasdt0(xI,X3),xI,X1) = sz00 )
| ( sK4(sdtasasdt0(xI,X3),xI,X1) = sz00 )
| ~ aSet0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_14802,c_84]) ).
tcf(c_15341,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(xI,X2,X0),X2)
| ( sK5(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ( sK4(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(xI,X1)) ),
inference(superposition,[status(thm)],[c_14802,c_86]) ).
tcf(c_15342,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(xI,X2,X0),xI)
| ( sK5(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ( sK4(sdtasasdt0(xI,X1),xI,X2) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(xI,X1)) ),
inference(superposition,[status(thm)],[c_14802,c_85]) ).
tcf(c_15343,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtasasdt0(xI,X0))
| ( sK5(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ( sK4(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14802,c_83]) ).
tcf(c_15488,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),X2,xI)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,xI),X1)
| ( sK6(sdtasasdt0(X0,X1),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_11547,c_92,c_11547]) ).
tcf(c_15501,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),X2,xI)
| aElement0(sK4(sdtasasdt0(X0,X1),X2,xI))
| ( sK6(sdtasasdt0(X0,X1),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_72]) ).
tcf(c_15502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,sdtasasdt0(X0,X1)),X3,xI)
| aElementOf0(sK4(sdtasasdt0(X2,sdtasasdt0(X0,X1)),X3,xI),X1)
| ( sK6(sdtasasdt0(X2,sdtasasdt0(X0,X1)),X3,xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_15488,c_95]) ).
tcf(c_15503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,sdtasasdt0(X0,X1)),X3,xI)
| aElementOf0(sK4(sdtasasdt0(X2,sdtasasdt0(X0,X1)),X3,xI),X0)
| ( sK6(sdtasasdt0(X2,sdtasasdt0(X0,X1)),X3,xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_15488,c_94]) ).
tcf(c_15504,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,slsdtgt0(X0)),X2,xI)
| ( sK6(sdtasasdt0(X1,slsdtgt0(X0)),X2,xI) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(sdtasasdt0(X1,slsdtgt0(X0)),X2,xI))) = sK4(sdtasasdt0(X1,slsdtgt0(X0)),X2,xI) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_15488,c_137]) ).
tcf(c_15505,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,slsdtgt0(X0)),X2,xI)
| aElement0(sK21(X0,sK4(sdtasasdt0(X1,slsdtgt0(X0)),X2,xI)))
| ( sK6(sdtasasdt0(X1,slsdtgt0(X0)),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_15488,c_136]) ).
tcf(c_15506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(sdtasasdt0(X3,xI),X4,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_15488,c_9694]) ).
tcf(c_15507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(sdtasasdt0(X3,xI),X4,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_15488,c_9732]) ).
tcf(c_15508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(X3,xI),X4,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_15488,c_9688]) ).
tcf(c_15509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(X3,xI),X4,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_15488,c_9297]) ).
tcf(c_15510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),X3,xI)
| ( sK6(sdtasasdt0(X2,xI),X3,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(sdtasasdt0(X2,xI),X3,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_15488,c_9669]) ).
tcf(c_15511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),X3,xI)
| ( sK6(sdtasasdt0(X2,xI),X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(X2,xI),X3,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_15488,c_9664]) ).
tcf(c_15512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),X3,xI)
| ( sK6(sdtasasdt0(X2,xI),X3,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(X2,xI),X3,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_15488,c_9287]) ).
tcf(c_15513,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,xI),X2,xI)
| ( sK6(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK4(sdtasasdt0(X1,xI),X2,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_15488,c_9278]) ).
tcf(c_15514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(sdtasasdt0(X8,xI),X9,xI)
| ( sK6(sdtasasdt0(X8,xI),X9,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X8,xI),X9,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_9179]) ).
tcf(c_15515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(sdtasasdt0(X7,xI),X8,xI)
| ( sK6(sdtasasdt0(X7,xI),X8,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X7,xI),X8,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_9147]) ).
tcf(c_15516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sdtasasdt0(X6,xI),X7,xI)
| ( sK6(sdtasasdt0(X6,xI),X7,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X6,xI),X7,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_9118]) ).
tcf(c_15517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sdtasasdt0(X5,xI),X6,xI)
| ( sK6(sdtasasdt0(X5,xI),X6,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X5,xI),X6,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_9092]) ).
tcf(c_15518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sdtasasdt0(X4,xI),X5,xI)
| ( sK6(sdtasasdt0(X4,xI),X5,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X4,xI),X5,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_9069]) ).
tcf(c_15519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X3,xI),X4,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_9049]) ).
tcf(c_15520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),X3,xI)
| ( sK6(sdtasasdt0(X2,xI),X3,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X2,xI),X3,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_9032]) ).
tcf(c_15521,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,xI),X2,xI)
| ( sK6(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ( sdtasdt0(X0,sK4(sdtasasdt0(X1,xI),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_8838]) ).
tcf(c_15522,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),X1,xI)
| ( sK6(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ( sK4(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_5224]) ).
tcf(c_15528,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),X1,xI)
| ( sK6(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ( sK4(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15522,c_6772]) ).
tcf(c_15533,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,xI),X2,xI)
| ( sK6(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ( sdtasdt0(X0,sK4(sdtasasdt0(X1,xI),X2,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15521,c_6772]) ).
tcf(c_15539,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X1,xI),X2,xI)
| ( sK6(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK4(sdtasasdt0(X1,xI),X2,xI),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15513,c_6772]) ).
tcf(c_15551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),X3,xI)
| ( sK6(sdtasasdt0(X2,xI),X3,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X2,xI),X3,xI))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15520,c_6772]) ).
tcf(c_15558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),X3,xI)
| ( sK6(sdtasasdt0(X2,xI),X3,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(X2,xI),X3,xI),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15512,c_6772]) ).
tcf(c_15565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),X3,xI)
| ( sK6(sdtasasdt0(X2,xI),X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(X2,xI),X3,xI)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15511,c_6772]) ).
tcf(c_15572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X2,xI),X3,xI)
| ( sK6(sdtasasdt0(X2,xI),X3,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(sdtasasdt0(X2,xI),X3,xI),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15510,c_6772]) ).
tcf(c_15593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X3,xI),X4,xI)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15519,c_6772]) ).
tcf(c_15601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(X3,xI),X4,xI),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15509,c_6772]) ).
tcf(c_15609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(X3,xI),X4,xI)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15508,c_6772]) ).
tcf(c_15617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(sdtasasdt0(X3,xI),X4,xI))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15507,c_6772]) ).
tcf(c_15625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(X3,xI),X4,xI)
| ( sK6(sdtasasdt0(X3,xI),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(sdtasasdt0(X3,xI),X4,xI),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15506,c_6772]) ).
tcf(c_15639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sdtasasdt0(X4,xI),X5,xI)
| ( sK6(sdtasasdt0(X4,xI),X5,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X4,xI),X5,xI))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15518,c_6772]) ).
tcf(c_15648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sdtasasdt0(X5,xI),X6,xI)
| ( sK6(sdtasasdt0(X5,xI),X6,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X5,xI),X6,xI)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15517,c_6772]) ).
tcf(c_15658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sdtasasdt0(X6,xI),X7,xI)
| ( sK6(sdtasasdt0(X6,xI),X7,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X6,xI),X7,xI))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15516,c_6772]) ).
tcf(c_15669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(sdtasasdt0(X7,xI),X8,xI)
| ( sK6(sdtasasdt0(X7,xI),X8,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X7,xI),X8,xI)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15515,c_6772]) ).
tcf(c_15681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(sdtasasdt0(X8,xI),X9,xI)
| ( sK6(sdtasasdt0(X8,xI),X9,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(X8,xI),X9,xI))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15514,c_6772]) ).
tcf(c_15999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ( sK4(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK7(X2,xI,X0),sK8(X2,xI,X0)) = X0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(X1,xI)) ),
inference(superposition,[status(thm)],[c_15528,c_87]) ).
tcf(c_16000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(X3,xI))
| ( sK6(sdtasasdt0(X3,xI),X1,xI) = sz00 )
| ( sK4(sdtasasdt0(X3,xI),X1,xI) = sz00 )
| ~ aSet0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_15528,c_84]) ).
tcf(c_16001,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(X2,xI,X0),xI)
| ( sK6(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ( sK4(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(X1,xI)) ),
inference(superposition,[status(thm)],[c_15528,c_86]) ).
tcf(c_16002,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(X2,xI,X0),X2)
| ( sK6(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ( sK4(sdtasasdt0(X1,xI),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(X1,xI)) ),
inference(superposition,[status(thm)],[c_15528,c_85]) ).
tcf(c_16003,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtasasdt0(X0,xI))
| ( sK6(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ( sK4(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15528,c_83]) ).
tcf(c_16038,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),X2,xI)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,xI),X0)
| ( sK6(sdtasasdt0(X0,X1),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_11548,c_92,c_11548]) ).
tcf(c_16051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(sdtasasdt0(X0,X1),X2),X3,xI)
| aElementOf0(sK4(sdtasasdt0(sdtasasdt0(X0,X1),X2),X3,xI),X1)
| ( sK6(sdtasasdt0(sdtasasdt0(X0,X1),X2),X3,xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_16038,c_95]) ).
tcf(c_16052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(sdtasasdt0(X0,X1),X2),X3,xI)
| aElementOf0(sK4(sdtasasdt0(sdtasasdt0(X0,X1),X2),X3,xI),X0)
| ( sK6(sdtasasdt0(sdtasasdt0(X0,X1),X2),X3,xI) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_16038,c_94]) ).
tcf(c_16053,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(slsdtgt0(X0),X1),X2,xI)
| ( sK6(sdtasasdt0(slsdtgt0(X0),X1),X2,xI) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(sdtasasdt0(slsdtgt0(X0),X1),X2,xI))) = sK4(sdtasasdt0(slsdtgt0(X0),X1),X2,xI) )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_16038,c_137]) ).
tcf(c_16054,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(slsdtgt0(X0),X1),X2,xI)
| aElement0(sK21(X0,sK4(sdtasasdt0(slsdtgt0(X0),X1),X2,xI)))
| ( sK6(sdtasasdt0(slsdtgt0(X0),X1),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_16038,c_136]) ).
tcf(c_16055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(sdtasasdt0(xI,X3),X4,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_16038,c_9694]) ).
tcf(c_16056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(sdtasasdt0(xI,X3),X4,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_16038,c_9732]) ).
tcf(c_16057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(xI,X3),X4,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_16038,c_9688]) ).
tcf(c_16058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(xI,X3),X4,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_16038,c_9297]) ).
tcf(c_16059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),X3,xI)
| ( sK6(sdtasasdt0(xI,X2),X3,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(sdtasasdt0(xI,X2),X3,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_16038,c_9669]) ).
tcf(c_16060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),X3,xI)
| ( sK6(sdtasasdt0(xI,X2),X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(xI,X2),X3,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_16038,c_9664]) ).
tcf(c_16061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),X3,xI)
| ( sK6(sdtasasdt0(xI,X2),X3,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(xI,X2),X3,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_16038,c_9287]) ).
tcf(c_16062,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X1),X2,xI)
| ( sK6(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ( sdtpldt0(sK4(sdtasasdt0(xI,X1),X2,xI),X0) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_16038,c_9278]) ).
tcf(c_16063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(sdtasasdt0(xI,X8),X9,xI)
| ( sK6(sdtasasdt0(xI,X8),X9,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X8),X9,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_9179]) ).
tcf(c_16064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(sdtasasdt0(xI,X7),X8,xI)
| ( sK6(sdtasasdt0(xI,X7),X8,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X7),X8,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_9147]) ).
tcf(c_16065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sdtasasdt0(xI,X6),X7,xI)
| ( sK6(sdtasasdt0(xI,X6),X7,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X6),X7,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_9118]) ).
tcf(c_16066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sdtasasdt0(xI,X5),X6,xI)
| ( sK6(sdtasasdt0(xI,X5),X6,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X5),X6,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_9092]) ).
tcf(c_16067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sdtasasdt0(xI,X4),X5,xI)
| ( sK6(sdtasasdt0(xI,X4),X5,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X4),X5,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_9069]) ).
tcf(c_16068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X3),X4,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_9049]) ).
tcf(c_16069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),X3,xI)
| ( sK6(sdtasasdt0(xI,X2),X3,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X2),X3,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_9032]) ).
tcf(c_16070,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X1),X2,xI)
| ( sK6(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ( sdtasdt0(X0,sK4(sdtasasdt0(xI,X1),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_8838]) ).
tcf(c_16071,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),X1,xI)
| ( sK6(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ( sK4(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_5224]) ).
tcf(c_16072,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),X1,xI)
| ( sK6(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ( sK4(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16071,c_6772]) ).
tcf(c_16077,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X1),X2,xI)
| ( sK6(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ( sdtasdt0(X0,sK4(sdtasasdt0(xI,X1),X2,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16070,c_6772]) ).
tcf(c_16083,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X1),X2,xI)
| ( sK6(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ( sdtpldt0(sK4(sdtasasdt0(xI,X1),X2,xI),X0) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16062,c_6772]) ).
tcf(c_16095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),X3,xI)
| ( sK6(sdtasasdt0(xI,X2),X3,xI) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X2),X3,xI))) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16069,c_6772]) ).
tcf(c_16102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),X3,xI)
| ( sK6(sdtasasdt0(xI,X2),X3,xI) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(xI,X2),X3,xI),X0)) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16061,c_6772]) ).
tcf(c_16109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),X3,xI)
| ( sK6(sdtasasdt0(xI,X2),X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(xI,X2),X3,xI)),X0) = sz00 )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16060,c_6772]) ).
tcf(c_16116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(xI,X2),X3,xI)
| ( sK6(sdtasasdt0(xI,X2),X3,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(sdtasasdt0(xI,X2),X3,xI),X0),X1) = sz00 )
| ~ aSet0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16059,c_6772]) ).
tcf(c_16137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X3),X4,xI)))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16068,c_6772]) ).
tcf(c_16145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(sdtasasdt0(xI,X3),X4,xI),X0))) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16058,c_6772]) ).
tcf(c_16153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(sdtasasdt0(xI,X3),X4,xI)),X0)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16057,c_6772]) ).
tcf(c_16161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(sdtasasdt0(xI,X3),X4,xI))),X0) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16056,c_6772]) ).
tcf(c_16169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sdtasasdt0(xI,X3),X4,xI)
| ( sK6(sdtasasdt0(xI,X3),X4,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(sdtasasdt0(xI,X3),X4,xI),X0),X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16055,c_6772]) ).
tcf(c_16183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(sdtasasdt0(xI,X4),X5,xI)
| ( sK6(sdtasasdt0(xI,X4),X5,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X4),X5,xI))))) = sz00 )
| ~ aSet0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16067,c_6772]) ).
tcf(c_16192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(sdtasasdt0(xI,X5),X6,xI)
| ( sK6(sdtasasdt0(xI,X5),X6,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X5),X6,xI)))))) = sz00 )
| ~ aSet0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16066,c_6772]) ).
tcf(c_16202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(sdtasasdt0(xI,X6),X7,xI)
| ( sK6(sdtasasdt0(xI,X6),X7,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X6),X7,xI))))))) = sz00 )
| ~ aSet0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16065,c_6772]) ).
tcf(c_16213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(sdtasasdt0(xI,X7),X8,xI)
| ( sK6(sdtasasdt0(xI,X7),X8,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X7),X8,xI)))))))) = sz00 )
| ~ aSet0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16064,c_6772]) ).
tcf(c_16225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(sdtasasdt0(xI,X8),X9,xI)
| ( sK6(sdtasasdt0(xI,X8),X9,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(sdtasasdt0(xI,X8),X9,xI))))))))) = sz00 )
| ~ aSet0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16063,c_6772]) ).
tcf(c_16323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ( sK4(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ( sdtpldt0(sK7(X2,xI,X0),sK8(X2,xI,X0)) = X0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(xI,X1)) ),
inference(superposition,[status(thm)],[c_16072,c_87]) ).
tcf(c_16324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X2),sdtasasdt0(xI,X3))
| ( sK6(sdtasasdt0(xI,X3),X1,xI) = sz00 )
| ( sK4(sdtasasdt0(xI,X3),X1,xI) = sz00 )
| ~ aSet0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_16072,c_84]) ).
tcf(c_16325,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(X2,xI,X0),xI)
| ( sK6(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ( sK4(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(xI,X1)) ),
inference(superposition,[status(thm)],[c_16072,c_86]) ).
tcf(c_16326,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(X2,xI,X0),X2)
| ( sK6(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ( sK4(sdtasasdt0(xI,X1),X2,xI) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtasasdt0(xI,X1)) ),
inference(superposition,[status(thm)],[c_16072,c_85]) ).
tcf(c_16327,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtasasdt0(xI,X0))
| ( sK6(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ( sK4(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16072,c_83]) ).
tcf(c_16358,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sK4(slsdtgt0(X0),xI,X1) )
| ~ aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_11227,c_134,c_11227]) ).
tcf(c_16369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(slsdtgt0(X1),xI,X2) = sz00 )
| ( sdtasdt0(X1,sK21(X1,sK4(slsdtgt0(X1),xI,X2))) = sK4(slsdtgt0(X1),xI,X2) )
| ( sdtpldt0(sK7(xI,X2,X0),sK8(xI,X2,X0)) = X0 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_16358,c_87]) ).
tcf(c_16370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X2,X0),slsdtgt0(X3))
| ( sK5(slsdtgt0(X3),xI,X1) = sz00 )
| ( sdtasdt0(X3,sK21(X3,sK4(slsdtgt0(X3),xI,X1))) = sK4(slsdtgt0(X3),xI,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_16358,c_84]) ).
tcf(c_16371,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(xI,X2,X0),X2)
| ( sK5(slsdtgt0(X1),xI,X2) = sz00 )
| ( sdtasdt0(X1,sK21(X1,sK4(slsdtgt0(X1),xI,X2))) = sK4(slsdtgt0(X1),xI,X2) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_16358,c_86]) ).
tcf(c_16372,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(xI,X2,X0),xI)
| ( sK5(slsdtgt0(X1),xI,X2) = sz00 )
| ( sdtasdt0(X1,sK21(X1,sK4(slsdtgt0(X1),xI,X2))) = sK4(slsdtgt0(X1),xI,X2) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_16358,c_85]) ).
tcf(c_16373,plain,
! [X0: $i,X1: $i] :
( aSet0(slsdtgt0(X0))
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sK4(slsdtgt0(X0),xI,X1) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16358,c_83]) ).
tcf(c_16403,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sK4(slsdtgt0(X0),X1,xI) )
| ~ aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_11549,c_134,c_11549]) ).
tcf(c_16414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(slsdtgt0(X1),X2,xI) = sz00 )
| ( sdtasdt0(X1,sK21(X1,sK4(slsdtgt0(X1),X2,xI))) = sK4(slsdtgt0(X1),X2,xI) )
| ( sdtpldt0(sK7(X2,xI,X0),sK8(X2,xI,X0)) = X0 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_16403,c_87]) ).
tcf(c_16415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X2),slsdtgt0(X3))
| ( sK6(slsdtgt0(X3),X1,xI) = sz00 )
| ( sdtasdt0(X3,sK21(X3,sK4(slsdtgt0(X3),X1,xI))) = sK4(slsdtgt0(X3),X1,xI) )
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_16403,c_84]) ).
tcf(c_16416,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(X2,xI,X0),xI)
| ( sK6(slsdtgt0(X1),X2,xI) = sz00 )
| ( sdtasdt0(X1,sK21(X1,sK4(slsdtgt0(X1),X2,xI))) = sK4(slsdtgt0(X1),X2,xI) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_16403,c_86]) ).
tcf(c_16417,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(X2,xI,X0),X2)
| ( sK6(slsdtgt0(X1),X2,xI) = sz00 )
| ( sdtasdt0(X1,sK21(X1,sK4(slsdtgt0(X1),X2,xI))) = sK4(slsdtgt0(X1),X2,xI) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,slsdtgt0(X1)) ),
inference(superposition,[status(thm)],[c_16403,c_85]) ).
tcf(c_16418,plain,
! [X0: $i,X1: $i] :
( aSet0(slsdtgt0(X0))
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sK4(slsdtgt0(X0),X1,xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16403,c_83]) ).
tcf(c_16923,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,xI,X2)
| ( X0 = sz00 )
| ( sK5(X1,xI,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK4(X1,xI,X2),X0),X0),sK16(sK4(X1,xI,X2),X0)) = sK4(X1,xI,X2) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_116]) ).
tcf(c_16924,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),xI,X2)
| ( X1 = sz00 )
| ( sK5(slsdtgt0(X0),xI,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(X0,sK4(slsdtgt0(X0),xI,X2)),X1),X1),sK16(sK21(X0,sK4(slsdtgt0(X0),xI,X2)),X1)) = sK21(X0,sK4(slsdtgt0(X0),xI,X2)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_116]) ).
tcf(c_16925,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X2,xI)
| ( X0 = sz00 )
| ( sK6(X1,X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK4(X1,X2,xI),X0),X0),sK16(sK4(X1,X2,xI),X0)) = sK4(X1,X2,xI) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_116]) ).
tcf(c_16926,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X2,xI)
| ( X1 = sz00 )
| ( sK6(slsdtgt0(X0),X2,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(X0,sK4(slsdtgt0(X0),X2,xI)),X1),X1),sK16(sK21(X0,sK4(slsdtgt0(X0),X2,xI)),X1)) = sK21(X0,sK4(slsdtgt0(X0),X2,xI)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_116]) ).
tcf(c_17299,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( X0 = sz00 )
| ( sK4(xI,X1,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK5(xI,X1,X2),X0),X0),sK16(sK5(xI,X1,X2),X0)) = sK5(xI,X1,X2) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_116]) ).
tcf(c_17300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sK4(xI,X2,X3) = sz00 )
| ( sdtasdt0(sdtasdt0(sK5(xI,X2,X3),X0),X1) = sdtasdt0(sK5(xI,X2,X3),sdtasdt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_61]) ).
tcf(c_17301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sK4(xI,X2,X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK5(xI,X2,X3),X0),X1) = sdtpldt0(sK5(xI,X2,X3),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_55]) ).
tcf(c_17302,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sK4(xI,X1,X2) = sz00 )
| ( sdtasdt0(sK5(xI,X1,X2),X0) = sdtasdt0(X0,sK5(xI,X1,X2)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_60]) ).
tcf(c_17303,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sK4(xI,X1,X2) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),X0) = sdtpldt0(X0,sK5(xI,X1,X2)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_54]) ).
tcf(c_17304,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sK5(xI,X0,X1),smndt0(sz10)) = smndt0(sK5(xI,X0,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_67]) ).
tcf(c_17305,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK5(xI,X0,X1)) = smndt0(sK5(xI,X0,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_66]) ).
tcf(c_17306,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK5(xI,X0,X1))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_6856]) ).
tcf(c_17307,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(smndt0(sK5(xI,X0,X1)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_6844]) ).
tcf(c_17308,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtpldt0(smndt0(sK5(xI,X0,X1)),sK5(xI,X0,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_59]) ).
tcf(c_17309,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),smndt0(sK5(xI,X0,X1))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_58]) ).
tcf(c_17310,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sz00,sK5(xI,X0,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_69]) ).
tcf(c_17311,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sK5(xI,X0,X1),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_68]) ).
tcf(c_17312,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sz10,sK5(xI,X0,X1)) = sK5(xI,X0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_63]) ).
tcf(c_17313,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sK5(xI,X0,X1),sz10) = sK5(xI,X0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_62]) ).
tcf(c_17314,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK5(xI,X0,X1)) = sK5(xI,X0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_57]) ).
tcf(c_17315,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sz00) = sK5(xI,X0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_56]) ).
tcf(c_17490,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,X1)
| ( X0 = sz00 )
| ( sK4(xI,X2,X1) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK6(xI,X2,X1),X0),X0),sK16(sK6(xI,X2,X1),X0)) = sK6(xI,X2,X1) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_116]) ).
tcf(c_17491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,X2)
| ( sK4(xI,X3,X2) = sz00 )
| ( sdtasdt0(sdtasdt0(sK6(xI,X3,X2),X0),X1) = sdtasdt0(sK6(xI,X3,X2),sdtasdt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_61]) ).
tcf(c_17492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,X2)
| ( sK4(xI,X3,X2) = sz00 )
| ( sdtpldt0(sdtpldt0(sK6(xI,X3,X2),X0),X1) = sdtpldt0(sK6(xI,X3,X2),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_55]) ).
tcf(c_17493,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,X1)
| ( sK4(xI,X2,X1) = sz00 )
| ( sdtasdt0(sK6(xI,X2,X1),X0) = sdtasdt0(X0,sK6(xI,X2,X1)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_60]) ).
tcf(c_17494,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,X1)
| ( sK4(xI,X2,X1) = sz00 )
| ( sdtpldt0(sK6(xI,X2,X1),X0) = sdtpldt0(X0,sK6(xI,X2,X1)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_54]) ).
tcf(c_17495,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sK6(xI,X1,X0),smndt0(sz10)) = smndt0(sK6(xI,X1,X0)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_67]) ).
tcf(c_17496,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK6(xI,X1,X0)) = smndt0(sK6(xI,X1,X0)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_66]) ).
tcf(c_17497,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK6(xI,X1,X0))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_6856]) ).
tcf(c_17498,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(smndt0(sK6(xI,X1,X0)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_6844]) ).
tcf(c_17499,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtpldt0(smndt0(sK6(xI,X1,X0)),sK6(xI,X1,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_59]) ).
tcf(c_17500,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtpldt0(sK6(xI,X1,X0),smndt0(sK6(xI,X1,X0))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_58]) ).
tcf(c_17501,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sz00,sK6(xI,X1,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_69]) ).
tcf(c_17502,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sK6(xI,X1,X0),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_68]) ).
tcf(c_17503,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sz10,sK6(xI,X1,X0)) = sK6(xI,X1,X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_63]) ).
tcf(c_17504,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sK6(xI,X1,X0),sz10) = sK6(xI,X1,X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_62]) ).
tcf(c_17505,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtpldt0(sz00,sK6(xI,X1,X0)) = sK6(xI,X1,X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_57]) ).
tcf(c_17506,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtpldt0(sK6(xI,X1,X0),sz00) = sK6(xI,X1,X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_56]) ).
tcf(c_17630,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( slsdtgt0(sK4(X0,xI,X1)) = xI )
| ( sK19(sK4(X0,xI,X1),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK4(X0,xI,X1),xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_14001]) ).
tcf(c_17631,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_14001]) ).
tcf(c_17632,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( slsdtgt0(sK4(X0,X1,xI)) = xI )
| ( sK19(sK4(X0,X1,xI),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK4(X0,X1,xI),xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_14001]) ).
tcf(c_17633,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_14001]) ).
tcf(c_17634,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( slsdtgt0(sK5(xI,X0,X1)) = xI )
| ( sK19(sK5(xI,X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK5(xI,X0,X1),xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_14001]) ).
tcf(c_17635,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( slsdtgt0(sK6(xI,X1,X0)) = xI )
| ( sK19(sK6(xI,X1,X0),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK6(xI,X1,X0),xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_14001]) ).
tcf(c_17946,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( slsdtgt0(sK4(X0,xI,X1)) = xI )
| ( sK19(sK4(X0,xI,X1),xI) = sz00 )
| ( sdtasdt0(sK20(sK4(X0,xI,X1),xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_14002]) ).
tcf(c_17947,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_14002]) ).
tcf(c_17948,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( slsdtgt0(sK4(X0,X1,xI)) = xI )
| ( sK19(sK4(X0,X1,xI),xI) = sz00 )
| ( sdtasdt0(sK20(sK4(X0,X1,xI),xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_14002]) ).
tcf(c_17949,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_14002]) ).
tcf(c_17950,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( slsdtgt0(sK5(xI,X0,X1)) = xI )
| ( sK19(sK5(xI,X0,X1),xI) = sz00 )
| ( sdtasdt0(sK20(sK5(xI,X0,X1),xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_14002]) ).
tcf(c_17951,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( slsdtgt0(sK6(xI,X1,X0)) = xI )
| ( sK19(sK6(xI,X1,X0),xI) = sz00 )
| ( sdtasdt0(sK20(sK6(xI,X1,X0),xI),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_14002]) ).
tcf(c_18196,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sz00,sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_11254]) ).
tcf(c_18197,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sz10,sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_11254]) ).
tcf(c_18198,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(smndt0(X0),sK4(xI,xI,X1)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_11254]) ).
tcf(c_18199,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(sdtpldt0(X0,X1),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11254]) ).
tcf(c_18200,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11254]) ).
tcf(c_18201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X4)
| aElement0(sK14(X2,X3))
| ( sK5(xI,xI,X4) = sz00 )
| ( sdtasdt0(sK13(X2,X3,X0,X1),sK4(xI,xI,X4)) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_11254]) ).
tcf(c_18202,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( X1 = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(sK15(X0,X1),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_11254]) ).
tcf(c_18203,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( X1 = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(sK16(X0,X1),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_11254]) ).
tcf(c_18204,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtasdt0(sK17(X0,X1),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_11254]) ).
tcf(c_18205,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(xa,sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_11254]) ).
tcf(c_18206,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(xb,sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_11254]) ).
tcf(c_18207,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sz00,sz00),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_11254]) ).
tcf(c_18208,plain,
! [X0: $i,X1: $i] :
( aIdeal0(X0)
| sP0(xI,xI,X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(sK10(X0),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_11254]) ).
tcf(c_18209,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(smndt0(xa),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_11254]) ).
tcf(c_18210,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(smndt0(xb),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_11254]) ).
tcf(c_18211,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xa,sz00),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_11254]) ).
tcf(c_18212,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xa,xa),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_11254]) ).
tcf(c_18213,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xb,sz00),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_11254]) ).
tcf(c_18214,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xb,xb),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_11254]) ).
tcf(c_18215,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(sK20(X0,xI),sK4(xI,xI,X1)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_11254]) ).
tcf(c_18216,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(xc,sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_11254]) ).
tcf(c_18217,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xc,sz00),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_11254]) ).
tcf(c_18218,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xc,xc),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_11254]) ).
tcf(c_18219,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(X0,xI,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sK4(X0,xI,X1),sK4(xI,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_11254]) ).
tcf(c_18220,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(slsdtgt0(X0),xI,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_11254]) ).
tcf(c_18221,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(X0,X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sK4(X0,X1,xI),sK4(xI,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_11254]) ).
tcf(c_18222,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(slsdtgt0(X0),X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_11254]) ).
tcf(c_18223,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X0,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sK5(xI,X0,X1),sK4(xI,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_11254]) ).
tcf(c_18224,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X1,X0)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sK6(xI,X1,X0),sK4(xI,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_11254]) ).
tcf(c_18225,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(sK3(xI,X0),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_11254]) ).
tcf(c_18226,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(sK2(X0,xI),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_11254]) ).
tcf(c_18452,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sz00,sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_11576]) ).
tcf(c_18453,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sz10,sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_11576]) ).
tcf(c_18454,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(smndt0(X0),sK4(xI,X1,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_11576]) ).
tcf(c_18455,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(sdtpldt0(X0,X1),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11576]) ).
tcf(c_18456,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11576]) ).
tcf(c_18457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X4,xI)
| aElement0(sK14(X2,X3))
| ( sK6(xI,X4,xI) = sz00 )
| ( sdtasdt0(sK13(X2,X3,X0,X1),sK4(xI,X4,xI)) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_11576]) ).
tcf(c_18458,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( X1 = sz00 )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(sK15(X0,X1),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_11576]) ).
tcf(c_18459,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( X1 = sz00 )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(sK16(X0,X1),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_11576]) ).
tcf(c_18460,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtasdt0(sK17(X0,X1),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_11576]) ).
tcf(c_18461,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(xa,sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_11576]) ).
tcf(c_18462,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(xb,sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_11576]) ).
tcf(c_18463,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sz00,sz00),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_11576]) ).
tcf(c_18464,plain,
! [X0: $i,X1: $i] :
( aIdeal0(X0)
| sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(sK10(X0),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_11576]) ).
tcf(c_18465,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(smndt0(xa),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_11576]) ).
tcf(c_18466,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(smndt0(xb),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_11576]) ).
tcf(c_18467,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xa,sz00),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_11576]) ).
tcf(c_18468,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xa,xa),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_11576]) ).
tcf(c_18469,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xb,sz00),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_11576]) ).
tcf(c_18470,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xb,xb),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_11576]) ).
tcf(c_18471,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(sK20(X0,xI),sK4(xI,X1,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_11576]) ).
tcf(c_18472,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(xc,sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_11576]) ).
tcf(c_18473,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xc,sz00),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_11576]) ).
tcf(c_18474,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xc,xc),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_11576]) ).
tcf(c_18475,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(X0,xI,X1)
| ( sK6(xI,X2,xI) = sz00 )
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sK4(X0,xI,X1),sK4(xI,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_11576]) ).
tcf(c_18476,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(slsdtgt0(X0),xI,X1)
| ( sK6(xI,X2,xI) = sz00 )
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_11576]) ).
tcf(c_18477,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(X0,X1,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sK4(X0,X1,xI),sK4(xI,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_11576]) ).
tcf(c_18478,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(slsdtgt0(X0),X1,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_11576]) ).
tcf(c_18479,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X0,X1)
| ( sK6(xI,X2,xI) = sz00 )
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sK5(xI,X0,X1),sK4(xI,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_11576]) ).
tcf(c_18480,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X1,X0)
| ( sK6(xI,X2,xI) = sz00 )
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sK6(xI,X1,X0),sK4(xI,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_11576]) ).
tcf(c_18481,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(sK3(xI,X0),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_11576]) ).
tcf(c_18482,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(sK2(X0,xI),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_11576]) ).
tcf(c_18713,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sz00,sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_11788]) ).
tcf(c_18714,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sz10,sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_11788]) ).
tcf(c_18715,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(smndt0(X0),sK5(xI,xI,X1)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_11788]) ).
tcf(c_18716,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtasdt0(sdtpldt0(X0,X1),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11788]) ).
tcf(c_18717,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11788]) ).
tcf(c_18718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X4)
| aElement0(sK14(X2,X3))
| ( sK4(xI,xI,X4) = sz00 )
| ( sdtasdt0(sK13(X2,X3,X0,X1),sK5(xI,xI,X4)) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_11788]) ).
tcf(c_18719,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( X1 = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtasdt0(sK15(X0,X1),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_11788]) ).
tcf(c_18720,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( X1 = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtasdt0(sK16(X0,X1),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_11788]) ).
tcf(c_18721,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtasdt0(sK17(X0,X1),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_11788]) ).
tcf(c_18722,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(xa,sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_11788]) ).
tcf(c_18723,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(xb,sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_11788]) ).
tcf(c_18724,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sz00,sz00),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_11788]) ).
tcf(c_18725,plain,
! [X0: $i,X1: $i] :
( aIdeal0(X0)
| sP0(xI,xI,X1)
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(sK10(X0),sK5(xI,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_11788]) ).
tcf(c_18726,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(smndt0(xa),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_11788]) ).
tcf(c_18727,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(smndt0(xb),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_11788]) ).
tcf(c_18728,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xa,sz00),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_11788]) ).
tcf(c_18729,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xa,xa),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_11788]) ).
tcf(c_18730,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xb,sz00),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_11788]) ).
tcf(c_18731,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xb,xb),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_11788]) ).
tcf(c_18732,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(sK20(X0,xI),sK5(xI,xI,X1)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_11788]) ).
tcf(c_18733,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(xc,sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_11788]) ).
tcf(c_18734,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xc,sz00),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_11788]) ).
tcf(c_18735,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(xc,xc),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_11788]) ).
tcf(c_18736,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(X0,xI,X1)
| ( sK4(xI,xI,X2) = sz00 )
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sK4(X0,xI,X1),sK5(xI,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_11788]) ).
tcf(c_18737,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(slsdtgt0(X0),xI,X1)
| ( sK4(xI,xI,X2) = sz00 )
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_11788]) ).
tcf(c_18738,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(X0,X1,xI)
| ( sK4(xI,xI,X2) = sz00 )
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sK4(X0,X1,xI),sK5(xI,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_11788]) ).
tcf(c_18739,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(slsdtgt0(X0),X1,xI)
| ( sK4(xI,xI,X2) = sz00 )
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_11788]) ).
tcf(c_18740,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X0,X1)
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sK5(xI,X0,X1),sK5(xI,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_11788]) ).
tcf(c_18741,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X1,X0)
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sK6(xI,X1,X0),sK5(xI,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_11788]) ).
tcf(c_18742,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(sK3(xI,X0),sK5(xI,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_11788]) ).
tcf(c_18743,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(sK2(X0,xI),sK5(xI,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_11788]) ).
tcf(c_19057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,xI,X3)
| ( sK5(X2,xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(sK4(X2,xI,X3),X0),sdtasdt0(sK4(X2,xI,X3),X1)) = sdtasdt0(sK4(X2,xI,X3),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_64]) ).
tcf(c_19058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(slsdtgt0(X0),xI,X3)
| ( sK5(slsdtgt0(X0),xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X3)),X1),sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X3)),X2)) = sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X3)),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_64]) ).
tcf(c_19059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X3,xI)
| ( sK6(X2,X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(sK4(X2,X3,xI),X0),sdtasdt0(sK4(X2,X3,xI),X1)) = sdtasdt0(sK4(X2,X3,xI),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_64]) ).
tcf(c_19060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(slsdtgt0(X0),X3,xI)
| ( sK6(slsdtgt0(X0),X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X3,xI)),X1),sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X3,xI)),X2)) = sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X3,xI)),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_64]) ).
tcf(c_19061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sK4(xI,X2,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(sK5(xI,X2,X3),X0),sdtasdt0(sK5(xI,X2,X3),X1)) = sdtasdt0(sK5(xI,X2,X3),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_64]) ).
tcf(c_19062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,X2)
| ( sK4(xI,X3,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(xI,X3,X2),X0),sdtasdt0(sK6(xI,X3,X2),X1)) = sdtasdt0(sK6(xI,X3,X2),sdtpldt0(X0,X1)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_64]) ).
tcf(c_19310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,xI,X3)
| ( sK5(X2,xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK4(X2,xI,X3)),sdtasdt0(X1,sK4(X2,xI,X3))) = sdtasdt0(sdtpldt0(X0,X1),sK4(X2,xI,X3)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_65]) ).
tcf(c_19311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(slsdtgt0(X0),xI,X3)
| ( sK5(slsdtgt0(X0),xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK21(X0,sK4(slsdtgt0(X0),xI,X3))),sdtasdt0(X2,sK21(X0,sK4(slsdtgt0(X0),xI,X3)))) = sdtasdt0(sdtpldt0(X1,X2),sK21(X0,sK4(slsdtgt0(X0),xI,X3))) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_65]) ).
tcf(c_19312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X3,xI)
| ( sK6(X2,X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK4(X2,X3,xI)),sdtasdt0(X1,sK4(X2,X3,xI))) = sdtasdt0(sdtpldt0(X0,X1),sK4(X2,X3,xI)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_65]) ).
tcf(c_19313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(slsdtgt0(X0),X3,xI)
| ( sK6(slsdtgt0(X0),X3,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK21(X0,sK4(slsdtgt0(X0),X3,xI))),sdtasdt0(X2,sK21(X0,sK4(slsdtgt0(X0),X3,xI)))) = sdtasdt0(sdtpldt0(X1,X2),sK21(X0,sK4(slsdtgt0(X0),X3,xI))) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_65]) ).
tcf(c_19314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sK4(xI,X2,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK5(xI,X2,X3)),sdtasdt0(X1,sK5(xI,X2,X3))) = sdtasdt0(sdtpldt0(X0,X1),sK5(xI,X2,X3)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_65]) ).
tcf(c_19315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,X2)
| ( sK4(xI,X3,X2) = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK6(xI,X3,X2)),sdtasdt0(X1,sK6(xI,X3,X2))) = sdtasdt0(sdtpldt0(X0,X1),sK6(xI,X3,X2)) )
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_65]) ).
tcf(c_19689,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sz00,sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_12056]) ).
tcf(c_19690,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sz10,sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_50,c_12056]) ).
tcf(c_19691,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtasdt0(smndt0(X0),sK6(xI,X1,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_12056]) ).
tcf(c_19692,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtasdt0(sdtpldt0(X0,X1),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_12056]) ).
tcf(c_19693,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtasdt0(sdtasdt0(X0,X1),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_12056]) ).
tcf(c_19694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X4,xI)
| aElement0(sK14(X2,X3))
| ( sK4(xI,X4,xI) = sz00 )
| ( sdtasdt0(sK13(X2,X3,X0,X1),sK6(xI,X4,xI)) = sz00 )
| ~ aIdeal0(X3)
| ~ aIdeal0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_109,c_12056]) ).
tcf(c_19695,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( X1 = sz00 )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtasdt0(sK15(X0,X1),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_114,c_12056]) ).
tcf(c_19696,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( X1 = sz00 )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtasdt0(sK16(X0,X1),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_115,c_12056]) ).
tcf(c_19697,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtasdt0(sK17(X0,X1),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_12056]) ).
tcf(c_19698,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(xa,sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_139,c_12056]) ).
tcf(c_19699,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(xb,sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_140,c_12056]) ).
tcf(c_19700,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sz00,sz00),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7607,c_12056]) ).
tcf(c_19701,plain,
! [X0: $i,X1: $i] :
( aIdeal0(X0)
| sP0(xI,X1,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtasdt0(sK10(X0),sK6(xI,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6878,c_12056]) ).
tcf(c_19702,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(smndt0(xa),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8413,c_12056]) ).
tcf(c_19703,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(smndt0(xb),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_15201,c_12056]) ).
tcf(c_19704,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xa,sz00),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7467,c_12056]) ).
tcf(c_19705,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xa,xa),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7466,c_12056]) ).
tcf(c_19706,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xb,sz00),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7465,c_12056]) ).
tcf(c_19707,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xb,xb),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7464,c_12056]) ).
tcf(c_19708,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( slsdtgt0(X0) = xI )
| ( sK19(X0,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtasdt0(sK20(X0,xI),sK6(xI,X1,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13245,c_12056]) ).
tcf(c_19709,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(xc,sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8521,c_12056]) ).
tcf(c_19710,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xc,sz00),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_8638,c_12056]) ).
tcf(c_19711,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(xc,xc),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_11190,c_12056]) ).
tcf(c_19712,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(X0,xI,X1)
| ( sK4(xI,X2,xI) = sz00 )
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasdt0(sK4(X0,xI,X1),sK6(xI,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_12056]) ).
tcf(c_19713,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(slsdtgt0(X0),xI,X1)
| ( sK4(xI,X2,xI) = sz00 )
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_12056]) ).
tcf(c_19714,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(X0,X1,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasdt0(sK4(X0,X1,xI),sK6(xI,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_12056]) ).
tcf(c_19715,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(slsdtgt0(X0),X1,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_12056]) ).
tcf(c_19716,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X0,X1)
| ( sK4(xI,X2,xI) = sz00 )
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasdt0(sK5(xI,X0,X1),sK6(xI,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_12056]) ).
tcf(c_19717,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X1,X0)
| ( sK4(xI,X2,xI) = sz00 )
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasdt0(sK6(xI,X1,X0),sK6(xI,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_12056]) ).
tcf(c_19718,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( X0 = xI )
| ( sK2(xI,X0) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtasdt0(sK3(xI,X0),sK6(xI,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13834,c_12056]) ).
tcf(c_19719,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( X0 = xI )
| ( sK3(X0,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtasdt0(sK2(X0,xI),sK6(xI,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_13894,c_12056]) ).
tcf(c_20037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(X1,xI,X2) = sz00 )
| ( sdtasdt0(sz00,sK4(X1,xI,X2)) = sz00 )
| ( sdtpldt0(sK7(xI,X2,X0),sK8(xI,X2,X0)) = X0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12313,c_87]) ).
tcf(c_20038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X2,X0),X3)
| ( sK5(X3,xI,X1) = sz00 )
| ( sdtasdt0(sz00,sK4(X3,xI,X1)) = sz00 )
| ~ aSet0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12313,c_84]) ).
tcf(c_20039,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(xI,X2,X0),X2)
| ( sK5(X1,xI,X2) = sz00 )
| ( sdtasdt0(sz00,sK4(X1,xI,X2)) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12313,c_86]) ).
tcf(c_20040,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(xI,X2,X0),xI)
| ( sK5(X1,xI,X2) = sz00 )
| ( sdtasdt0(sz00,sK4(X1,xI,X2)) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12313,c_85]) ).
tcf(c_20075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(X1,xI,X2) = sz00 )
| ( sdtasdt0(sK4(X1,xI,X2),sz00) = sz00 )
| ( sdtpldt0(sK7(xI,X2,X0),sK8(xI,X2,X0)) = X0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12314,c_87]) ).
tcf(c_20076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X2,X0),X3)
| ( sK5(X3,xI,X1) = sz00 )
| ( sdtasdt0(sK4(X3,xI,X1),sz00) = sz00 )
| ~ aSet0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12314,c_84]) ).
tcf(c_20077,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(xI,X2,X0),X2)
| ( sK5(X1,xI,X2) = sz00 )
| ( sdtasdt0(sK4(X1,xI,X2),sz00) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12314,c_86]) ).
tcf(c_20078,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(xI,X2,X0),xI)
| ( sK5(X1,xI,X2) = sz00 )
| ( sdtasdt0(sK4(X1,xI,X2),sz00) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12314,c_85]) ).
tcf(c_20113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(X1,X2,xI) = sz00 )
| ( sdtasdt0(sz00,sK4(X1,X2,xI)) = sz00 )
| ( sdtpldt0(sK7(X2,xI,X0),sK8(X2,xI,X0)) = X0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12468,c_87]) ).
tcf(c_20114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X2),X3)
| ( sK6(X3,X1,xI) = sz00 )
| ( sdtasdt0(sz00,sK4(X3,X1,xI)) = sz00 )
| ~ aSet0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12468,c_84]) ).
tcf(c_20115,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(X2,xI,X0),xI)
| ( sK6(X1,X2,xI) = sz00 )
| ( sdtasdt0(sz00,sK4(X1,X2,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12468,c_86]) ).
tcf(c_20116,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(X2,xI,X0),X2)
| ( sK6(X1,X2,xI) = sz00 )
| ( sdtasdt0(sz00,sK4(X1,X2,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12468,c_85]) ).
tcf(c_20151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(X1,X2,xI) = sz00 )
| ( sdtasdt0(sK4(X1,X2,xI),sz00) = sz00 )
| ( sdtpldt0(sK7(X2,xI,X0),sK8(X2,xI,X0)) = X0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12469,c_87]) ).
tcf(c_20152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X2),X3)
| ( sK6(X3,X1,xI) = sz00 )
| ( sdtasdt0(sK4(X3,X1,xI),sz00) = sz00 )
| ~ aSet0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12469,c_84]) ).
tcf(c_20153,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(X2,xI,X0),xI)
| ( sK6(X1,X2,xI) = sz00 )
| ( sdtasdt0(sK4(X1,X2,xI),sz00) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12469,c_86]) ).
tcf(c_20154,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(X2,xI,X0),X2)
| ( sK6(X1,X2,xI) = sz00 )
| ( sdtasdt0(sK4(X1,X2,xI),sz00) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_12469,c_85]) ).
tcf(c_20220,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( slsdtgt0(sK4(X0,xI,X1)) = xI )
| ( sK19(sK4(X0,xI,X1),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK4(X0,xI,X1),xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_13997]) ).
tcf(c_20221,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_13997]) ).
tcf(c_20222,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( slsdtgt0(sK4(X0,X1,xI)) = xI )
| ( sK19(sK4(X0,X1,xI),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK4(X0,X1,xI),xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_13997]) ).
tcf(c_20223,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_13997]) ).
tcf(c_20224,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( slsdtgt0(sK5(xI,X0,X1)) = xI )
| ( sK19(sK5(xI,X0,X1),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK5(xI,X0,X1),xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_13997]) ).
tcf(c_20225,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( slsdtgt0(sK6(xI,X1,X0)) = xI )
| ( sK19(sK6(xI,X1,X0),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK6(xI,X1,X0),xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_13997]) ).
tcf(c_20482,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( slsdtgt0(sK4(X0,xI,X1)) = xI )
| ( sK19(sK4(X0,xI,X1),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK4(X0,xI,X1),xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_13998]) ).
tcf(c_20483,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_13998]) ).
tcf(c_20484,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( slsdtgt0(sK4(X0,X1,xI)) = xI )
| ( sK19(sK4(X0,X1,xI),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK4(X0,X1,xI),xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_13998]) ).
tcf(c_20485,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_13998]) ).
tcf(c_20486,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( slsdtgt0(sK5(xI,X0,X1)) = xI )
| ( sK19(sK5(xI,X0,X1),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK5(xI,X0,X1),xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_13998]) ).
tcf(c_20487,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( slsdtgt0(sK6(xI,X1,X0)) = xI )
| ( sK19(sK6(xI,X1,X0),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK6(xI,X1,X0),xI)),sz00) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_13998]) ).
tcf(c_20711,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK3(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_11259]) ).
tcf(c_20712,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK2(xI,X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_11259]) ).
tcf(c_20713,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_11259]) ).
tcf(c_20714,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_11259]) ).
tcf(c_20715,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(X0,xI,X2)
| aElementOf0(sK4(X0,xI,X2),X0)
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK5(X0,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_11259]) ).
tcf(c_20716,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(X0,X2,xI)
| aElementOf0(sK4(X0,X2,xI),X0)
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK6(X0,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_11259]) ).
tcf(c_20719,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sdtpldt0(X0,X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_11259]) ).
tcf(c_20720,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sdtasdt0(X1,X0)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_11259]) ).
tcf(c_20721,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_11259]) ).
tcf(c_20722,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK6(xI,X1,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_11259]) ).
tcf(c_20723,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK5(xI,xI,X1)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_11259]) ).
tcf(c_20725,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_11259]) ).
tcf(c_20726,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_11259]) ).
tcf(c_20727,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_11259]) ).
tcf(c_20728,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_11259]) ).
tcf(c_20729,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_11259]) ).
tcf(c_20730,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_11259]) ).
tcf(c_20732,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sdtasdt0(X1,X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20720,c_143]) ).
tcf(c_20738,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sdtpldt0(X0,X1)) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20719,c_143]) ).
tcf(c_20766,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20714,c_6772]) ).
tcf(c_20772,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20713,c_6772]) ).
tcf(c_20778,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20726,c_6772]) ).
tcf(c_20784,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20725,c_6772]) ).
tcf(c_20790,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20721,c_6772]) ).
tcf(c_20797,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK2(xI,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20712,c_6772]) ).
tcf(c_20804,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK3(X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20711,c_6772]) ).
tcf(c_20811,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20730,c_6772]) ).
tcf(c_20818,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20729,c_6772]) ).
tcf(c_20825,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20728,c_6772]) ).
tcf(c_20832,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20727,c_6772]) ).
tcf(c_20975,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtpldt0(sK4(xI,xI,X1),sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_11259]) ).
tcf(c_21101,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtpldt0(sK4(xI,xI,X1),sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20975,c_6772]) ).
tcf(c_21241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_11259]) ).
tcf(c_21264,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_11259]) ).
tcf(c_21509,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21264,c_6772]) ).
tcf(c_21544,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21241,c_6772]) ).
tcf(c_21862,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,xb),sz00),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_12056]) ).
tcf(c_21865,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,xb),sz00),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_11788]) ).
tcf(c_21866,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,xb),sz00),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_11576]) ).
tcf(c_21867,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,xb),sz00),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_21858,c_11254]) ).
tcf(c_22024,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( slsdtgt0(sK4(X0,xI,X1)) = xI )
| ( sK19(sK4(X0,xI,X1),xI) = sz00 )
| ( sdtasdt0(sK4(X0,xI,X1),sK20(sK4(X0,xI,X1),xI)) = sK19(sK4(X0,xI,X1),xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_20998]) ).
tcf(c_22025,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),sK20(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI)) = sK19(sK21(X0,sK4(slsdtgt0(X0),xI,X1)),xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_20998]) ).
tcf(c_22026,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( slsdtgt0(sK4(X0,X1,xI)) = xI )
| ( sK19(sK4(X0,X1,xI),xI) = sz00 )
| ( sdtasdt0(sK4(X0,X1,xI),sK20(sK4(X0,X1,xI),xI)) = sK19(sK4(X0,X1,xI),xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_20998]) ).
tcf(c_22027,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = xI )
| ( sK19(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),sK20(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI)) = sK19(sK21(X0,sK4(slsdtgt0(X0),X1,xI)),xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_20998]) ).
tcf(c_22028,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( slsdtgt0(sK5(xI,X0,X1)) = xI )
| ( sK19(sK5(xI,X0,X1),xI) = sz00 )
| ( sdtasdt0(sK5(xI,X0,X1),sK20(sK5(xI,X0,X1),xI)) = sK19(sK5(xI,X0,X1),xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_20998]) ).
tcf(c_22029,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( slsdtgt0(sK6(xI,X1,X0)) = xI )
| ( sK19(sK6(xI,X1,X0),xI) = sz00 )
| ( sdtasdt0(sK6(xI,X1,X0),sK20(sK6(xI,X1,X0),xI)) = sK19(sK6(xI,X1,X0),xI) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_20998]) ).
tcf(c_22227,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21300,c_11259]) ).
tcf(c_22352,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22227,c_6772]) ).
tcf(c_22665,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK4(X0,xI,X1))) = xI )
| ( sK9(xI,slsdtgt0(sK4(X0,xI,X1)),xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_22537]) ).
tcf(c_22666,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)))) = xI )
| ( sK9(xI,slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))),xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_22537]) ).
tcf(c_22667,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK4(X0,X1,xI))) = xI )
| ( sK9(xI,slsdtgt0(sK4(X0,X1,xI)),xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_22537]) ).
tcf(c_22668,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)))) = xI )
| ( sK9(xI,slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))),xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_22537]) ).
tcf(c_22669,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK5(xI,X0,X1))) = xI )
| ( sK9(xI,slsdtgt0(sK5(xI,X0,X1)),xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_22537]) ).
tcf(c_22670,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK6(xI,X1,X0))) = xI )
| ( sK9(xI,slsdtgt0(sK6(xI,X1,X0)),xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_22537]) ).
tcf(c_22957,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_11259]) ).
tcf(c_22980,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_11259]) ).
tcf(c_23219,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22980,c_6772]) ).
tcf(c_23254,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22957,c_6772]) ).
tcf(c_23522,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK4(X0,X1,X2))
| ( sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2)) = sK4(X0,X1,X2) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_82,c_72]) ).
tcf(c_23523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),X2,X3)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,X3),X1)
| ( sdtpldt0(sK5(sdtasasdt0(X0,X1),X2,X3),sK6(sdtasasdt0(X0,X1),X2,X3)) = sK4(sdtasasdt0(X0,X1),X2,X3) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_95]) ).
tcf(c_23524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),X2,X3)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,X3),X0)
| ( sdtpldt0(sK5(sdtasasdt0(X0,X1),X2,X3),sK6(sdtasasdt0(X0,X1),X2,X3)) = sK4(sdtasasdt0(X0,X1),X2,X3) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_94]) ).
tcf(c_23525,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X1,X2)
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),X1,X2))) = sK4(slsdtgt0(X0),X1,X2) )
| ( sdtpldt0(sK5(slsdtgt0(X0),X1,X2),sK6(slsdtgt0(X0),X1,X2)) = sK4(slsdtgt0(X0),X1,X2) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_82,c_137]) ).
tcf(c_23526,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X1,X2)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),X1,X2)))
| ( sdtpldt0(sK5(slsdtgt0(X0),X1,X2),sK6(slsdtgt0(X0),X1,X2)) = sK4(slsdtgt0(X0),X1,X2) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_82,c_136]) ).
tcf(c_23527,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X0,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_11259]) ).
tcf(c_23528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,X4),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_82,c_9694]) ).
tcf(c_23529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,X4))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_82,c_9732]) ).
tcf(c_23530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,X4)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_82,c_9688]) ).
tcf(c_23531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,X4),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_82,c_9297]) ).
tcf(c_23532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,X3),X0),X1) = sz00 )
| ( sdtpldt0(sK5(xI,X2,X3),sK6(xI,X2,X3)) = sK4(xI,X2,X3) )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_82,c_9669]) ).
tcf(c_23533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,X3)),X0) = sz00 )
| ( sdtpldt0(sK5(xI,X2,X3),sK6(xI,X2,X3)) = sK4(xI,X2,X3) )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_82,c_9664]) ).
tcf(c_23534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,X3),X0)) = sz00 )
| ( sdtpldt0(sK5(xI,X2,X3),sK6(xI,X2,X3)) = sK4(xI,X2,X3) )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_82,c_9287]) ).
tcf(c_23535,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sdtpldt0(sK4(xI,X1,X2),X0) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_82,c_9278]) ).
tcf(c_23536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,X8,X9)
| ( sdtpldt0(sK5(xI,X8,X9),sK6(xI,X8,X9)) = sK4(xI,X8,X9) )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,X9))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_82,c_9179]) ).
tcf(c_23537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X7,X8)
| ( sdtpldt0(sK5(xI,X7,X8),sK6(xI,X7,X8)) = sK4(xI,X7,X8) )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,X8)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_82,c_9147]) ).
tcf(c_23538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X6,X7)
| ( sdtpldt0(sK5(xI,X6,X7),sK6(xI,X6,X7)) = sK4(xI,X6,X7) )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,X7))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_82,c_9118]) ).
tcf(c_23539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X5,X6)
| ( sdtpldt0(sK5(xI,X5,X6),sK6(xI,X5,X6)) = sK4(xI,X5,X6) )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,X6)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_82,c_9092]) ).
tcf(c_23540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X4,X5)
| ( sdtpldt0(sK5(xI,X4,X5),sK6(xI,X4,X5)) = sK4(xI,X4,X5) )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,X5))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_82,c_9069]) ).
tcf(c_23541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,X4)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_82,c_9049]) ).
tcf(c_23542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,X3))) = sz00 )
| ( sdtpldt0(sK5(xI,X2,X3),sK6(xI,X2,X3)) = sK4(xI,X2,X3) )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_82,c_9032]) ).
tcf(c_23543,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sdtasdt0(X0,sK4(xI,X1,X2)) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_82,c_8838]) ).
tcf(c_23544,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_5224]) ).
tcf(c_23549,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23544,c_6772]) ).
tcf(c_23553,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sdtasdt0(X0,sK4(xI,X1,X2)) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23543,c_6772]) ).
tcf(c_23558,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sdtpldt0(sK4(xI,X1,X2),X0) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23535,c_6772]) ).
tcf(c_23568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,X3))) = sz00 )
| ( sdtpldt0(sK5(xI,X2,X3),sK6(xI,X2,X3)) = sK4(xI,X2,X3) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23542,c_6772]) ).
tcf(c_23574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,X3),X0)) = sz00 )
| ( sdtpldt0(sK5(xI,X2,X3),sK6(xI,X2,X3)) = sK4(xI,X2,X3) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23534,c_6772]) ).
tcf(c_23580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,X3)),X0) = sz00 )
| ( sdtpldt0(sK5(xI,X2,X3),sK6(xI,X2,X3)) = sK4(xI,X2,X3) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23533,c_6772]) ).
tcf(c_23586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,X3)
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,X3),X0),X1) = sz00 )
| ( sdtpldt0(sK5(xI,X2,X3),sK6(xI,X2,X3)) = sK4(xI,X2,X3) )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23532,c_6772]) ).
tcf(c_23592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,X4)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23541,c_6772]) ).
tcf(c_23599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,X4),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23531,c_6772]) ).
tcf(c_23606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,X4)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23530,c_6772]) ).
tcf(c_23613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,X4))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23529,c_6772]) ).
tcf(c_23620,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X0,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23527,c_6772]) ).
tcf(c_23626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,X4)
| ( sdtpldt0(sK5(xI,X3,X4),sK6(xI,X3,X4)) = sK4(xI,X3,X4) )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,X4),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23528,c_6772]) ).
tcf(c_23650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X4,X5)
| ( sdtpldt0(sK5(xI,X4,X5),sK6(xI,X4,X5)) = sK4(xI,X4,X5) )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,X5))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23540,c_6772]) ).
tcf(c_23658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X5,X6)
| ( sdtpldt0(sK5(xI,X5,X6),sK6(xI,X5,X6)) = sK4(xI,X5,X6) )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,X6)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23539,c_6772]) ).
tcf(c_23667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X6,X7)
| ( sdtpldt0(sK5(xI,X6,X7),sK6(xI,X6,X7)) = sK4(xI,X6,X7) )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,X7))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23538,c_6772]) ).
tcf(c_23677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X7,X8)
| ( sdtpldt0(sK5(xI,X7,X8),sK6(xI,X7,X8)) = sK4(xI,X7,X8) )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,X8)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23537,c_6772]) ).
tcf(c_23688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,X8,X9)
| ( sdtpldt0(sK5(xI,X8,X9),sK6(xI,X8,X9)) = sK4(xI,X8,X9) )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,X9))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23536,c_6772]) ).
tcf(c_23900,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sK21(xb,xb),X2)
| ~ aElementOf0(smndt0(sK21(xb,xb)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_7999,c_79]) ).
tcf(c_23901,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sK21(xb,xb),X1)
| ~ aElementOf0(smndt0(sK21(xb,xb)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_8000,c_79]) ).
tcf(c_23930,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sz10,sK21(xb,xb)),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_12056]) ).
tcf(c_23933,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sz10,sK21(xb,xb)),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_11788]) ).
tcf(c_23934,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sz10,sK21(xb,xb)),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_11576]) ).
tcf(c_23935,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sz10,sK21(xb,xb)),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_23924,c_11254]) ).
tcf(c_24131,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23010,c_11259]) ).
tcf(c_24256,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24131,c_6772]) ).
tcf(c_24451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK4(xI,X1,X2) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ( sdtpldt0(sK7(X1,X2,X0),sK8(X1,X2,X0)) = X0 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23549,c_87]) ).
tcf(c_24452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X2),xI)
| ( sK4(xI,X1,X3) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X3),sK6(xI,X1,X3)) = sK4(xI,X1,X3) )
| ~ aElementOf0(X2,X3)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_23549,c_84]) ).
tcf(c_24453,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(X1,X2,X0),X2)
| ( sK4(xI,X1,X2) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23549,c_86]) ).
tcf(c_24454,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(X1,X2,X0),X1)
| ( sK4(xI,X1,X2) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_23549,c_85]) ).
tcf(c_24527,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| ( sK5(X0,xI,X1) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK4(X0,xI,X1)),xI) = xI )
| ( sK9(slsdtgt0(sK4(X0,xI,X1)),xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11224,c_24365]) ).
tcf(c_24528,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(slsdtgt0(X0),xI,X1) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))),xI) = xI )
| ( sK9(slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),xI,X1))),xI,xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14149,c_24365]) ).
tcf(c_24529,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| ( sK6(X0,X1,xI) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK4(X0,X1,xI)),xI) = xI )
| ( sK9(slsdtgt0(sK4(X0,X1,xI)),xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11546,c_24365]) ).
tcf(c_24530,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK6(slsdtgt0(X0),X1,xI) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))),xI) = xI )
| ( sK9(slsdtgt0(sK21(X0,sK4(slsdtgt0(X0),X1,xI))),xI,xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14262,c_24365]) ).
tcf(c_24531,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK4(xI,X0,X1) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK5(xI,X0,X1)),xI) = xI )
| ( sK9(slsdtgt0(sK5(xI,X0,X1)),xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11768,c_24365]) ).
tcf(c_24532,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,X0)
| ( sK4(xI,X1,X0) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK6(xI,X1,X0)),xI) = xI )
| ( sK9(slsdtgt0(sK6(xI,X1,X0)),xI,xI) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_12036,c_24365]) ).
tcf(c_25291,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK3(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_11581]) ).
tcf(c_25292,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK2(xI,X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_11581]) ).
tcf(c_25293,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X0,X1)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_11581]) ).
tcf(c_25294,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,xI)
| sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_11581]) ).
tcf(c_25295,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,xI)
| sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_11581]) ).
tcf(c_25296,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(X0,xI,X2)
| aElementOf0(sK4(X0,xI,X2),X0)
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK5(X0,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_11581]) ).
tcf(c_25297,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(X0,X2,xI)
| aElementOf0(sK4(X0,X2,xI),X0)
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK6(X0,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_11581]) ).
tcf(c_25298,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_11581]) ).
tcf(c_25299,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_11581]) ).
tcf(c_25300,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_11581]) ).
tcf(c_25301,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_11581]) ).
tcf(c_25304,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sdtpldt0(X0,X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_11581]) ).
tcf(c_25305,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sdtasdt0(X1,X0)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_11581]) ).
tcf(c_25306,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( slsdtgt0(X0) = xI )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtpldt0(sK4(xI,X1,xI),sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_11581]) ).
tcf(c_25307,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_11581]) ).
tcf(c_25309,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK6(xI,X1,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_11581]) ).
tcf(c_25310,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK5(xI,xI,X1)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_11581]) ).
tcf(c_25312,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_11581]) ).
tcf(c_25313,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_11581]) ).
tcf(c_25314,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_11581]) ).
tcf(c_25315,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_11581]) ).
tcf(c_25316,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_11581]) ).
tcf(c_25317,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_11581]) ).
tcf(c_25319,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_11581]) ).
tcf(c_25320,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_11581]) ).
tcf(c_25322,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sdtasdt0(X1,X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25305,c_143]) ).
tcf(c_25328,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sdtpldt0(X0,X1)) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25304,c_143]) ).
tcf(c_25356,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,xI)
| sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25295,c_6772]) ).
tcf(c_25362,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,xI)
| sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25294,c_6772]) ).
tcf(c_25368,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25313,c_6772]) ).
tcf(c_25374,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25312,c_6772]) ).
tcf(c_25380,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25307,c_6772]) ).
tcf(c_25387,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK2(xI,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25292,c_6772]) ).
tcf(c_25394,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK3(X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25291,c_6772]) ).
tcf(c_25401,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25320,c_6772]) ).
tcf(c_25408,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25319,c_6772]) ).
tcf(c_25415,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( slsdtgt0(X0) = xI )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtpldt0(sK4(xI,X1,xI),sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25306,c_6772]) ).
tcf(c_25422,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25301,c_6772]) ).
tcf(c_25430,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25300,c_6772]) ).
tcf(c_25438,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25299,c_6772]) ).
tcf(c_25446,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25298,c_6772]) ).
tcf(c_25454,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X0,X1)
| ( sK6(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25293,c_6772]) ).
tcf(c_25460,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25317,c_6772]) ).
tcf(c_25467,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25316,c_6772]) ).
tcf(c_25474,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25315,c_6772]) ).
tcf(c_25481,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25314,c_6772]) ).
tcf(c_25572,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))),xI) = xI )
| ( sK9(slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))),xI,xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_24365]) ).
tcf(c_25573,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)))) = xI )
| ( sK9(xI,slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))),xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_22537]) ).
tcf(c_25574,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = xI )
| ( sK19(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),sK20(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI)) = sK19(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_20998]) ).
tcf(c_25575,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = xI )
| ( sK19(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_13998]) ).
tcf(c_25576,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = xI )
| ( sK19(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_13997]) ).
tcf(c_25577,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,X2,xI) = sz00 )
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_12056]) ).
tcf(c_25578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,slsdtgt0(X0),X3)
| ( sK4(xI,slsdtgt0(X0),X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK21(X0,sK5(xI,slsdtgt0(X0),X3))),sdtasdt0(X2,sK21(X0,sK5(xI,slsdtgt0(X0),X3)))) = sdtasdt0(sdtpldt0(X1,X2),sK21(X0,sK5(xI,slsdtgt0(X0),X3))) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_65]) ).
tcf(c_25579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,slsdtgt0(X0),X3)
| ( sK4(xI,slsdtgt0(X0),X3) = sz00 )
| ( sdtpldt0(sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X3)),X1),sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X3)),X2)) = sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X3)),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_64]) ).
tcf(c_25580,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_11788]) ).
tcf(c_25581,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,slsdtgt0(X0),X1)
| ( sK6(xI,X2,xI) = sz00 )
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_11576]) ).
tcf(c_25582,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,slsdtgt0(X0),X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_11254]) ).
tcf(c_25583,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = xI )
| ( sK19(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_14002]) ).
tcf(c_25584,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( slsdtgt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = xI )
| ( sK19(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_14001]) ).
tcf(c_25585,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,slsdtgt0(X0),X2)
| ( X1 = sz00 )
| ( sK4(xI,slsdtgt0(X0),X2) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(X0,sK5(xI,slsdtgt0(X0),X2)),X1),X1),sK16(sK21(X0,sK5(xI,slsdtgt0(X0),X2)),X1)) = sK21(X0,sK5(xI,slsdtgt0(X0),X2)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_116]) ).
tcf(c_25586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,slsdtgt0(X0),X3)
| ( sK4(xI,slsdtgt0(X0),X3) = sz00 )
| ( sdtasdt0(sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X3)),X1),X2) = sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X3)),sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_61]) ).
tcf(c_25587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,slsdtgt0(X0),X3)
| ( sK4(xI,slsdtgt0(X0),X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK21(X0,sK5(xI,slsdtgt0(X0),X3)),X1),X2) = sdtpldt0(sK21(X0,sK5(xI,slsdtgt0(X0),X3)),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_55]) ).
tcf(c_25588,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,slsdtgt0(X0),X2)
| ( sK4(xI,slsdtgt0(X0),X2) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X2)),X1) = sdtasdt0(X1,sK21(X0,sK5(xI,slsdtgt0(X0),X2))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_60]) ).
tcf(c_25589,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,slsdtgt0(X0),X2)
| ( sK4(xI,slsdtgt0(X0),X2) = sz00 )
| ( sdtpldt0(sK21(X0,sK5(xI,slsdtgt0(X0),X2)),X1) = sdtpldt0(X1,sK21(X0,sK5(xI,slsdtgt0(X0),X2))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_54]) ).
tcf(c_25590,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),smndt0(sz10)) = smndt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_67]) ).
tcf(c_25591,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = smndt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_66]) ).
tcf(c_25592,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_6856]) ).
tcf(c_25593,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(smndt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_6844]) ).
tcf(c_25594,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtpldt0(smndt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1))),sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_59]) ).
tcf(c_25595,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtpldt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),smndt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_58]) ).
tcf(c_25596,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sz00,sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_69]) ).
tcf(c_25597,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_68]) ).
tcf(c_25598,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sz10,sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = sK21(X0,sK5(xI,slsdtgt0(X0),X1)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_63]) ).
tcf(c_25599,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtasdt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),sz10) = sK21(X0,sK5(xI,slsdtgt0(X0),X1)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_62]) ).
tcf(c_25600,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtpldt0(sz00,sK21(X0,sK5(xI,slsdtgt0(X0),X1))) = sK21(X0,sK5(xI,slsdtgt0(X0),X1)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_57]) ).
tcf(c_25601,plain,
! [X0: $i,X1: $i] :
( sP0(xI,slsdtgt0(X0),X1)
| ( sK4(xI,slsdtgt0(X0),X1) = sz00 )
| ( sdtpldt0(sK21(X0,sK5(xI,slsdtgt0(X0),X1)),sz00) = sK21(X0,sK5(xI,slsdtgt0(X0),X1)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11772,c_56]) ).
tcf(c_25885,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK3(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_11780]) ).
tcf(c_25886,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK2(xI,X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_11780]) ).
tcf(c_25887,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X0,X1)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_11780]) ).
tcf(c_25888,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_11780]) ).
tcf(c_25889,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_11780]) ).
tcf(c_25890,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(X0,xI,X2)
| aElementOf0(sK4(X0,xI,X2),X0)
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK5(X0,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_11780]) ).
tcf(c_25891,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(X0,X2,xI)
| aElementOf0(sK4(X0,X2,xI),X0)
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK6(X0,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_11780]) ).
tcf(c_25892,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_11780]) ).
tcf(c_25893,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_11780]) ).
tcf(c_25894,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_11780]) ).
tcf(c_25895,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_11780]) ).
tcf(c_25898,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sdtpldt0(X0,X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_11780]) ).
tcf(c_25899,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sdtasdt0(X1,X0)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_11780]) ).
tcf(c_25900,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( slsdtgt0(X0) = xI )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtpldt0(sK5(xI,xI,X1),sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_11780]) ).
tcf(c_25901,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_11780]) ).
tcf(c_25903,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK4(xI,xI,X0) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK6(xI,X1,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_11780]) ).
tcf(c_25904,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK5(xI,xI,X1)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_11780]) ).
tcf(c_25906,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_11780]) ).
tcf(c_25907,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_11780]) ).
tcf(c_25908,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_11780]) ).
tcf(c_25909,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_11780]) ).
tcf(c_25910,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_11780]) ).
tcf(c_25911,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_11780]) ).
tcf(c_25913,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_11780]) ).
tcf(c_25914,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_11780]) ).
tcf(c_25916,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sdtasdt0(X1,X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25899,c_143]) ).
tcf(c_25922,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sdtpldt0(X0,X1)) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25898,c_143]) ).
tcf(c_25950,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25889,c_6772]) ).
tcf(c_25956,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25888,c_6772]) ).
tcf(c_25962,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25907,c_6772]) ).
tcf(c_25968,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25906,c_6772]) ).
tcf(c_25974,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25901,c_6772]) ).
tcf(c_25981,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK2(xI,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25886,c_6772]) ).
tcf(c_25988,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK3(X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25885,c_6772]) ).
tcf(c_25995,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25914,c_6772]) ).
tcf(c_26002,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25913,c_6772]) ).
tcf(c_26009,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( slsdtgt0(X0) = xI )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtpldt0(sK5(xI,xI,X1),sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25900,c_6772]) ).
tcf(c_26016,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25895,c_6772]) ).
tcf(c_26024,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25894,c_6772]) ).
tcf(c_26032,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25893,c_6772]) ).
tcf(c_26040,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25892,c_6772]) ).
tcf(c_26048,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X0,X1)
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X2),sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25887,c_6772]) ).
tcf(c_26054,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25911,c_6772]) ).
tcf(c_26061,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25910,c_6772]) ).
tcf(c_26068,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25909,c_6772]) ).
tcf(c_26075,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25908,c_6772]) ).
tcf(c_26127,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasasdt0(slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))),xI) = xI )
| ( sK9(slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))),xI,xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_24365]) ).
tcf(c_26128,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasasdt0(xI,slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))))) = xI )
| ( sK9(xI,slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))),xI) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_22537]) ).
tcf(c_26129,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = xI )
| ( sK19(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),sK20(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI)) = sK19(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_20998]) ).
tcf(c_26130,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = xI )
| ( sK19(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI) = sz00 )
| ( sdtasdt0(smndt0(sK20(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_13998]) ).
tcf(c_26131,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = xI )
| ( sK19(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK20(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_13997]) ).
tcf(c_26132,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X2,xI) = sz00 )
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_12056]) ).
tcf(c_26133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,slsdtgt0(X0))
| ( sK4(xI,X3,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK21(X0,sK6(xI,X3,slsdtgt0(X0)))),sdtasdt0(X2,sK21(X0,sK6(xI,X3,slsdtgt0(X0))))) = sdtasdt0(sdtpldt0(X1,X2),sK21(X0,sK6(xI,X3,slsdtgt0(X0)))) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_65]) ).
tcf(c_26134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,slsdtgt0(X0))
| ( sK4(xI,X3,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(sdtasdt0(sK21(X0,sK6(xI,X3,slsdtgt0(X0))),X1),sdtasdt0(sK21(X0,sK6(xI,X3,slsdtgt0(X0))),X2)) = sdtasdt0(sK21(X0,sK6(xI,X3,slsdtgt0(X0))),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_64]) ).
tcf(c_26135,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_11788]) ).
tcf(c_26136,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X1,slsdtgt0(X0))
| ( sK6(xI,X2,xI) = sz00 )
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),sK4(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_11576]) ).
tcf(c_26137,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| sP0(xI,X1,slsdtgt0(X0))
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),sK4(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_11254]) ).
tcf(c_26138,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = xI )
| ( sK19(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI) = sz00 )
| ( sdtasdt0(sK20(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_14002]) ).
tcf(c_26139,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( slsdtgt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = xI )
| ( sK19(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI) = sz00 )
| ( sdtasdt0(sz00,sK20(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),xI)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_14001]) ).
tcf(c_26140,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,slsdtgt0(X0))
| ( X1 = sz00 )
| ( sK4(xI,X2,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(sdtasdt0(sK15(sK21(X0,sK6(xI,X2,slsdtgt0(X0))),X1),X1),sK16(sK21(X0,sK6(xI,X2,slsdtgt0(X0))),X1)) = sK21(X0,sK6(xI,X2,slsdtgt0(X0))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_116]) ).
tcf(c_26141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,slsdtgt0(X0))
| ( sK4(xI,X3,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sdtasdt0(sK21(X0,sK6(xI,X3,slsdtgt0(X0))),X1),X2) = sdtasdt0(sK21(X0,sK6(xI,X3,slsdtgt0(X0))),sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_61]) ).
tcf(c_26142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,slsdtgt0(X0))
| ( sK4(xI,X3,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK21(X0,sK6(xI,X3,slsdtgt0(X0))),X1),X2) = sdtpldt0(sK21(X0,sK6(xI,X3,slsdtgt0(X0))),sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_55]) ).
tcf(c_26143,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,slsdtgt0(X0))
| ( sK4(xI,X2,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X2,slsdtgt0(X0))),X1) = sdtasdt0(X1,sK21(X0,sK6(xI,X2,slsdtgt0(X0)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_60]) ).
tcf(c_26144,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,slsdtgt0(X0))
| ( sK4(xI,X2,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(sK21(X0,sK6(xI,X2,slsdtgt0(X0))),X1) = sdtpldt0(X1,sK21(X0,sK6(xI,X2,slsdtgt0(X0)))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_54]) ).
tcf(c_26145,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),smndt0(sz10)) = smndt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_67]) ).
tcf(c_26146,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(smndt0(sz10),sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = smndt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_66]) ).
tcf(c_26147,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sz00,smndt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_6856]) ).
tcf(c_26148,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(smndt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_6844]) ).
tcf(c_26149,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(smndt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0)))),sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_59]) ).
tcf(c_26150,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),smndt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_58]) ).
tcf(c_26151,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sz00,sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_69]) ).
tcf(c_26152,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_68]) ).
tcf(c_26153,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sz10,sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = sK21(X0,sK6(xI,X1,slsdtgt0(X0))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_63]) ).
tcf(c_26154,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtasdt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),sz10) = sK21(X0,sK6(xI,X1,slsdtgt0(X0))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_62]) ).
tcf(c_26155,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(sz00,sK21(X0,sK6(xI,X1,slsdtgt0(X0)))) = sK21(X0,sK6(xI,X1,slsdtgt0(X0))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_57]) ).
tcf(c_26156,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,slsdtgt0(X0))
| ( sK4(xI,X1,slsdtgt0(X0)) = sz00 )
| ( sdtpldt0(sK21(X0,sK6(xI,X1,slsdtgt0(X0))),sz00) = sK21(X0,sK6(xI,X1,slsdtgt0(X0))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12040,c_56]) ).
tcf(c_26665,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sK21(xb,xb),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sK21(xb,xb) ) ),
inference(superposition,[status(thm)],[c_8005,c_79]) ).
tcf(c_26686,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,sz00),sz00),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_12056]) ).
tcf(c_26689,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,sz00),sz00),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_11788]) ).
tcf(c_26690,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,sz00),sz00),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_11576]) ).
tcf(c_26691,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sK21(xb,sz00),sz00),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_26679,c_11254]) ).
tcf(c_27027,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK3(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_12048]) ).
tcf(c_27028,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK2(xI,X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_12048]) ).
tcf(c_27029,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X0,X1)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_12048]) ).
tcf(c_27030,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,xI)
| sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_12048]) ).
tcf(c_27031,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,xI)
| sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_12048]) ).
tcf(c_27032,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(X0,xI,X2)
| aElementOf0(sK4(X0,xI,X2),X0)
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK5(X0,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_12048]) ).
tcf(c_27033,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(X0,X2,xI)
| aElementOf0(sK4(X0,X2,xI),X0)
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK6(X0,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_12048]) ).
tcf(c_27034,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_12048]) ).
tcf(c_27035,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_12048]) ).
tcf(c_27036,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_12048]) ).
tcf(c_27037,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_12048]) ).
tcf(c_27040,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sdtpldt0(X0,X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_12048]) ).
tcf(c_27041,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sdtasdt0(X1,X0)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_12048]) ).
tcf(c_27042,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( slsdtgt0(X0) = xI )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtpldt0(sK6(xI,X1,xI),sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_12048]) ).
tcf(c_27043,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_12048]) ).
tcf(c_27045,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK6(xI,X1,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_12048]) ).
tcf(c_27046,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK4(xI,xI,X1) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK5(xI,xI,X1)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_12048]) ).
tcf(c_27048,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_12048]) ).
tcf(c_27049,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_12048]) ).
tcf(c_27050,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_12048]) ).
tcf(c_27051,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_12048]) ).
tcf(c_27052,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_12048]) ).
tcf(c_27053,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_12048]) ).
tcf(c_27055,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_12048]) ).
tcf(c_27056,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_12048]) ).
tcf(c_27058,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sdtasdt0(X1,X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27041,c_143]) ).
tcf(c_27064,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sdtpldt0(X0,X1)) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27040,c_143]) ).
tcf(c_27092,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,xI)
| sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27031,c_6772]) ).
tcf(c_27098,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,xI)
| sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27030,c_6772]) ).
tcf(c_27104,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27049,c_6772]) ).
tcf(c_27110,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27048,c_6772]) ).
tcf(c_27116,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27043,c_6772]) ).
tcf(c_27123,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK2(xI,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27028,c_6772]) ).
tcf(c_27130,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK3(X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27027,c_6772]) ).
tcf(c_27137,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27056,c_6772]) ).
tcf(c_27144,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27055,c_6772]) ).
tcf(c_27151,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( slsdtgt0(X0) = xI )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sdtpldt0(sK6(xI,X1,xI),sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27042,c_6772]) ).
tcf(c_27158,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27037,c_6772]) ).
tcf(c_27166,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27036,c_6772]) ).
tcf(c_27174,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27035,c_6772]) ).
tcf(c_27182,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27034,c_6772]) ).
tcf(c_27190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| sP0(xI,X0,X1)
| ( sK4(xI,X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X2,xI),sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27029,c_6772]) ).
tcf(c_27196,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27053,c_6772]) ).
tcf(c_27203,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27052,c_6772]) ).
tcf(c_27210,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27051,c_6772]) ).
tcf(c_27217,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK4(xI,X1,xI) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27050,c_6772]) ).
tcf(c_27303,plain,
! [X0: $i,X1: $i] :
( aElement0(sK8(xI,X1,X0))
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_72]) ).
tcf(c_27304,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(xI,sdtasasdt0(X1,X2),X0),X2)
| ( sK5(xI,xI,sdtasasdt0(X1,X2)) = sz00 )
| ( sK4(xI,xI,sdtasasdt0(X1,X2)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_95]) ).
tcf(c_27305,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(xI,sdtasasdt0(X1,X2),X0),X1)
| ( sK5(xI,xI,sdtasasdt0(X1,X2)) = sz00 )
| ( sK4(xI,xI,sdtasasdt0(X1,X2)) = sz00 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_94]) ).
tcf(c_27306,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,slsdtgt0(X1)) = sz00 )
| ( sK4(xI,xI,slsdtgt0(X1)) = sz00 )
| ( sdtasdt0(X1,sK21(X1,sK8(xI,slsdtgt0(X1),X0))) = sK8(xI,slsdtgt0(X1),X0) )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_137]) ).
tcf(c_27307,plain,
! [X0: $i,X1: $i] :
( aElement0(sK21(X1,sK8(xI,slsdtgt0(X1),X0)))
| ( sK5(xI,xI,slsdtgt0(X1)) = sz00 )
| ( sK4(xI,xI,slsdtgt0(X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_136]) ).
tcf(c_27308,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK8(xI,xI,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_12048]) ).
tcf(c_27309,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK8(xI,xI,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_11780]) ).
tcf(c_27310,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK8(xI,xI,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_11581]) ).
tcf(c_27311,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK8(xI,xI,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_11259]) ).
tcf(c_27312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X3,sdtpldt0(sdtpldt0(sK8(xI,xI,X0),X1),X2)) = sz00 )
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9694]) ).
tcf(c_27313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,sK8(xI,xI,X0))),X1) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9732]) ).
tcf(c_27314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,sK8(xI,xI,X0)),X1)) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9688]) ).
tcf(c_27315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(sK8(xI,xI,X0),X1))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9297]) ).
tcf(c_27316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sdtpldt0(sK8(xI,xI,X0),X1),X2) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9669]) ).
tcf(c_27317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sK8(xI,xI,X0)),X1) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9664]) ).
tcf(c_27318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sK8(xI,xI,X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9287]) ).
tcf(c_27319,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sK8(xI,xI,X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9278]) ).
tcf(c_27320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK8(xI,xI,X0))))))))) = sz00 )
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9179]) ).
tcf(c_27321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK8(xI,xI,X0)))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9147]) ).
tcf(c_27322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK8(xI,xI,X0))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9118]) ).
tcf(c_27323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK8(xI,xI,X0)))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9092]) ).
tcf(c_27324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK8(xI,xI,X0))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9069]) ).
tcf(c_27325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK8(xI,xI,X0)))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9049]) ).
tcf(c_27326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sK8(xI,xI,X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_9032]) ).
tcf(c_27327,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X1,sK8(xI,xI,X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_8838]) ).
tcf(c_27328,plain,
! [X0: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,X0) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_5224]) ).
tcf(c_27655,plain,
! [X0: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK3(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_27328]) ).
tcf(c_27656,plain,
! [X0: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK2(xI,X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_27328]) ).
tcf(c_27657,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_27328]) ).
tcf(c_27658,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK6(xI,X0,X1),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_27328]) ).
tcf(c_27659,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK5(xI,X0,X1),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_27328]) ).
tcf(c_27660,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| aElementOf0(sK4(X0,xI,X1),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(X0,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_27328]) ).
tcf(c_27661,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| aElementOf0(sK4(X0,X1,xI),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(X0,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_27328]) ).
tcf(c_27662,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_27328]) ).
tcf(c_27663,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_27328]) ).
tcf(c_27664,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_27328]) ).
tcf(c_27665,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_27328]) ).
tcf(c_27668,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sdtpldt0(X0,X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_27328]) ).
tcf(c_27669,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sdtasdt0(X1,X0)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_27328]) ).
tcf(c_27670,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK8(xI,xI,sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_27328]) ).
tcf(c_27671,plain,
! [X0: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_27328]) ).
tcf(c_27673,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_27328]) ).
tcf(c_27674,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_27328]) ).
tcf(c_27676,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK4(xI,xI,X0)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_27328]) ).
tcf(c_27677,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_27328]) ).
tcf(c_27678,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ( sK8(xI,xI,sK4(sdtasasdt0(X0,xI),xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_27328]) ).
tcf(c_27679,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ( sK8(xI,xI,sK4(sdtasasdt0(xI,X0),xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_27328]) ).
tcf(c_27680,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ( sK8(xI,xI,sK4(sdtasasdt0(X0,xI),X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_27328]) ).
tcf(c_27681,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ( sK8(xI,xI,sK4(sdtasasdt0(xI,X0),X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_27328]) ).
tcf(c_27682,plain,
! [X0: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_27328]) ).
tcf(c_27684,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_27328]) ).
tcf(c_27685,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_27328]) ).
tcf(c_27691,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sdtasdt0(X1,X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27669,c_143]) ).
tcf(c_27697,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sdtpldt0(X0,X1)) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27668,c_143]) ).
tcf(c_27725,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK5(xI,X0,X1),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27659,c_6772]) ).
tcf(c_27731,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK6(xI,X0,X1),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27658,c_6772]) ).
tcf(c_27737,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27677,c_6772]) ).
tcf(c_27743,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK4(xI,xI,X0)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27676,c_6772]) ).
tcf(c_27749,plain,
! [X0: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27671,c_6772]) ).
tcf(c_27756,plain,
! [X0: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK2(xI,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27656,c_6772]) ).
tcf(c_27763,plain,
! [X0: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK3(X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27655,c_6772]) ).
tcf(c_27770,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27685,c_6772]) ).
tcf(c_27777,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27684,c_6772]) ).
tcf(c_27784,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK8(xI,xI,sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27670,c_6772]) ).
tcf(c_27791,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27665,c_6772]) ).
tcf(c_27799,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27664,c_6772]) ).
tcf(c_27807,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27663,c_6772]) ).
tcf(c_27815,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27662,c_6772]) ).
tcf(c_27823,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27657,c_6772]) ).
tcf(c_27829,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ( sK8(xI,xI,sK4(sdtasasdt0(xI,X0),X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27681,c_6772]) ).
tcf(c_27836,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ( sK8(xI,xI,sK4(sdtasasdt0(X0,xI),X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27680,c_6772]) ).
tcf(c_27843,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ( sK8(xI,xI,sK4(sdtasasdt0(xI,X0),xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27679,c_6772]) ).
tcf(c_27850,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ( sK8(xI,xI,sK4(sdtasasdt0(X0,xI),xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27678,c_6772]) ).
tcf(c_28095,plain,
! [X0: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK3(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_27682]) ).
tcf(c_28096,plain,
! [X0: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK2(xI,X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_27682]) ).
tcf(c_28097,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_27682]) ).
tcf(c_28098,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK6(xI,X0,X1),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_27682]) ).
tcf(c_28099,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK5(xI,X0,X1),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_27682]) ).
tcf(c_28100,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| aElementOf0(sK4(X0,xI,X1),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK5(X0,xI,X1))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_27682]) ).
tcf(c_28101,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| aElementOf0(sK4(X0,X1,xI),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK6(X0,X1,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_27682]) ).
tcf(c_28102,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(xI,X0,X1))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_27682]) ).
tcf(c_28103,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(X0,xI,X1))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_27682]) ).
tcf(c_28104,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_27682]) ).
tcf(c_28105,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_27682]) ).
tcf(c_28108,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sdtpldt0(X0,X1))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_27682]) ).
tcf(c_28109,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sdtasdt0(X1,X0))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_27682]) ).
tcf(c_28110,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK8(xI,xI,sK8(xI,xI,sK19(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_27682]) ).
tcf(c_28111,plain,
! [X0: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK19(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_27682]) ).
tcf(c_28113,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK6(xI,X0,xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_27682]) ).
tcf(c_28114,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK5(xI,xI,X0))) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_27682]) ).
tcf(c_28116,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,xI,X0))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_27682]) ).
tcf(c_28117,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_27682]) ).
tcf(c_28118,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(sdtasasdt0(X0,xI),xI,X1))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_27682]) ).
tcf(c_28119,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(sdtasasdt0(xI,X0),xI,X1))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_27682]) ).
tcf(c_28120,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(sdtasasdt0(X0,xI),X1,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_27682]) ).
tcf(c_28121,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(sdtasasdt0(xI,X0),X1,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_27682]) ).
tcf(c_28122,plain,
! [X0: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK8(xI,xI,X0))) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_27682]) ).
tcf(c_28124,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(xI,X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_27682]) ).
tcf(c_28125,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(X0,xI,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_27682]) ).
tcf(c_28131,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sdtasdt0(X1,X0))) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28109,c_143]) ).
tcf(c_28137,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sdtpldt0(X0,X1))) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28108,c_143]) ).
tcf(c_28165,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK5(xI,X0,X1),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28099,c_6772]) ).
tcf(c_28171,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| aElementOf0(sK6(xI,X0,X1),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28098,c_6772]) ).
tcf(c_28177,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28117,c_6772]) ).
tcf(c_28183,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,xI,X0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28116,c_6772]) ).
tcf(c_28189,plain,
! [X0: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK19(X0,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28111,c_6772]) ).
tcf(c_28196,plain,
! [X0: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK2(xI,X0))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28096,c_6772]) ).
tcf(c_28203,plain,
! [X0: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK3(X0,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28095,c_6772]) ).
tcf(c_28210,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(X0,xI,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28125,c_6772]) ).
tcf(c_28217,plain,
! [X0: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(xI,X0,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28124,c_6772]) ).
tcf(c_28224,plain,
! [X0: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK8(xI,xI,sK8(xI,xI,sK19(X0,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28110,c_6772]) ).
tcf(c_28231,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28105,c_6772]) ).
tcf(c_28239,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28104,c_6772]) ).
tcf(c_28247,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(X0,xI,X1))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28103,c_6772]) ).
tcf(c_28255,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK9(xI,X0,X1))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28102,c_6772]) ).
tcf(c_28263,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28097,c_6772]) ).
tcf(c_28269,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X1,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(sdtasasdt0(xI,X0),X1,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28121,c_6772]) ).
tcf(c_28276,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X1,xI) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(sdtasasdt0(X0,xI),X1,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28120,c_6772]) ).
tcf(c_28283,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X1) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(sdtasasdt0(xI,X0),xI,X1))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28119,c_6772]) ).
tcf(c_28290,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X1) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(sdtasasdt0(X0,xI),xI,X1))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28118,c_6772]) ).
tcf(c_28425,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK7(X1,xI,X0),sK8(X1,xI,X0)) = X0 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27673,c_87]) ).
tcf(c_28426,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X0,X2),xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_27673,c_84]) ).
tcf(c_28427,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK8(X1,xI,X0),xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27673,c_86]) ).
tcf(c_28428,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK7(X1,xI,X0),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27673,c_85]) ).
tcf(c_28469,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK7(xI,X1,X0),sK8(xI,X1,X0)) = X0 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27674,c_87]) ).
tcf(c_28470,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X2,X0),xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_27674,c_84]) ).
tcf(c_28471,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK8(xI,X1,X0),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27674,c_86]) ).
tcf(c_28472,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK7(xI,X1,X0),xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27674,c_85]) ).
tcf(c_28543,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xI,X1)
| aElement0(sK4(X0,xI,X1))
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(X0,xI,X1)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_72]) ).
tcf(c_28544,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X2)
| aElementOf0(sK4(sdtasasdt0(X0,X1),xI,X2),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(sdtasasdt0(X0,X1),xI,X2)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27660,c_95]) ).
tcf(c_28545,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X2)
| aElementOf0(sK4(sdtasasdt0(X0,X1),xI,X2),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(sdtasasdt0(X0,X1),xI,X2)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27660,c_94]) ).
tcf(c_28546,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(slsdtgt0(X0),xI,X1)) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sK4(slsdtgt0(X0),xI,X1) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_27660,c_137]) ).
tcf(c_28547,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),xI,X1)))
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(slsdtgt0(X0),xI,X1)) = sz00 )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_27660,c_136]) ).
tcf(c_28548,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X0)) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,xI,X0))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_27682]) ).
tcf(c_28549,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X0)) = sz00 )
| ( sK8(xI,xI,sK4(xI,xI,X0)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_27328]) ).
tcf(c_28550,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_12048]) ).
tcf(c_28551,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_11780]) ).
tcf(c_28552,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_11581]) ).
tcf(c_28553,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_11259]) ).
tcf(c_28554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,xI,X3),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27660,c_9694]) ).
tcf(c_28555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,xI,X3))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27660,c_9732]) ).
tcf(c_28556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X3)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27660,c_9688]) ).
tcf(c_28557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X3),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27660,c_9297]) ).
tcf(c_28558,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X2)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,xI,X2),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27660,c_9669]) ).
tcf(c_28559,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X2)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X2)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27660,c_9664]) ).
tcf(c_28560,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X2)) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X2),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27660,c_9287]) ).
tcf(c_28561,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27660,c_9278]) ).
tcf(c_28562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,xI,X8)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X8)) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X8))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_9179]) ).
tcf(c_28563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,xI,X7)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X7)) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X7)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_9147]) ).
tcf(c_28564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,xI,X6)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X6)) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X6))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_9118]) ).
tcf(c_28565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,xI,X5)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X5)) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X5)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_9092]) ).
tcf(c_28566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X4)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X4)) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X4))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_9069]) ).
tcf(c_28567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X3)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_9049]) ).
tcf(c_28568,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X2)) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X2))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_9032]) ).
tcf(c_28569,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK4(xI,xI,X1)) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27660,c_8838]) ).
tcf(c_28577,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X0)) = sz00 )
| ( sK8(xI,xI,sK4(xI,xI,X0)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28549,c_6772]) ).
tcf(c_28583,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK4(xI,xI,X1)) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28569,c_6772]) ).
tcf(c_28590,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28561,c_6772]) ).
tcf(c_28597,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X0)) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,xI,X0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28548,c_6772]) ).
tcf(c_28610,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X2)) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X2))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28568,c_6772]) ).
tcf(c_28618,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X2)) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X2),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28560,c_6772]) ).
tcf(c_28626,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X2)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X2)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28559,c_6772]) ).
tcf(c_28634,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X2)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,xI,X2),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28558,c_6772]) ).
tcf(c_28658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X3)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28567,c_6772]) ).
tcf(c_28674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X3),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28557,c_6772]) ).
tcf(c_28683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X3)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28556,c_6772]) ).
tcf(c_28692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,xI,X3))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28555,c_6772]) ).
tcf(c_28701,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28553,c_6772]) ).
tcf(c_28709,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28552,c_6772]) ).
tcf(c_28717,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28551,c_6772]) ).
tcf(c_28725,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28550,c_6772]) ).
tcf(c_28733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,xI,X3),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28554,c_6772]) ).
tcf(c_28742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X4)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X4)) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X4))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28566,c_6772]) ).
tcf(c_28752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,xI,X5)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X5)) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X5)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28565,c_6772]) ).
tcf(c_28763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,xI,X6)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X6)) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X6))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28564,c_6772]) ).
tcf(c_28775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,xI,X7)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X7)) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X7)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28563,c_6772]) ).
tcf(c_28788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,xI,X8)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X8)) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X8))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28562,c_6772]) ).
tcf(c_28947,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,xI)
| aElement0(sK4(X0,X1,xI))
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(X0,X1,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_72]) ).
tcf(c_28948,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),X2,xI)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,xI),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(sdtasasdt0(X0,X1),X2,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27661,c_95]) ).
tcf(c_28949,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,X1),X2,xI)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X2,xI),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(sdtasasdt0(X0,X1),X2,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27661,c_94]) ).
tcf(c_28950,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(slsdtgt0(X0),X1,xI)) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sK4(slsdtgt0(X0),X1,xI) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_27661,c_137]) ).
tcf(c_28951,plain,
! [X0: $i,X1: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),X1,xI)))
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(slsdtgt0(X0),X1,xI)) = sz00 )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_27661,c_136]) ).
tcf(c_28952,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X0,xI)) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_27682]) ).
tcf(c_28953,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X0,xI)) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_27328]) ).
tcf(c_28954,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_12048]) ).
tcf(c_28955,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_11780]) ).
tcf(c_28956,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_11581]) ).
tcf(c_28957,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_11259]) ).
tcf(c_28958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27661,c_9694]) ).
tcf(c_28959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27661,c_9732]) ).
tcf(c_28960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27661,c_9688]) ).
tcf(c_28961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27661,c_9297]) ).
tcf(c_28962,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X2,xI)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27661,c_9669]) ).
tcf(c_28963,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X2,xI)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27661,c_9664]) ).
tcf(c_28964,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X2,xI)) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27661,c_9287]) ).
tcf(c_28965,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_27661,c_9278]) ).
tcf(c_28966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X8,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X8,xI)) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_9179]) ).
tcf(c_28967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X7,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X7,xI)) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_9147]) ).
tcf(c_28968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X6,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X6,xI)) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_9118]) ).
tcf(c_28969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X5,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X5,xI)) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_9092]) ).
tcf(c_28970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X4,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X4,xI)) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_9069]) ).
tcf(c_28971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_9049]) ).
tcf(c_28972,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X2,xI)) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_9032]) ).
tcf(c_28973,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK4(xI,X1,xI)) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27661,c_8838]) ).
tcf(c_28981,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X0,xI)) = sz00 )
| ( sK8(xI,xI,sK4(xI,X0,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28953,c_6772]) ).
tcf(c_28987,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtasdt0(X0,sK4(xI,X1,xI)) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28973,c_6772]) ).
tcf(c_28994,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28965,c_6772]) ).
tcf(c_29001,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X0,xI)) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28952,c_6772]) ).
tcf(c_29014,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X2,xI)) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28972,c_6772]) ).
tcf(c_29022,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X2,xI)) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,xI),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28964,c_6772]) ).
tcf(c_29030,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X2,xI)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,xI)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28963,c_6772]) ).
tcf(c_29038,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X2,xI)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,xI),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28962,c_6772]) ).
tcf(c_29062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,xI)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28971,c_6772]) ).
tcf(c_29078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,xI),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28961,c_6772]) ).
tcf(c_29087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,xI)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28960,c_6772]) ).
tcf(c_29096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,xI))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28959,c_6772]) ).
tcf(c_29105,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28957,c_6772]) ).
tcf(c_29113,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28956,c_6772]) ).
tcf(c_29121,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28955,c_6772]) ).
tcf(c_29129,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28954,c_6772]) ).
tcf(c_29137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,xI),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28958,c_6772]) ).
tcf(c_29146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X4,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X4,xI)) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,xI))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28970,c_6772]) ).
tcf(c_29156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X5,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X5,xI)) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,xI)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28969,c_6772]) ).
tcf(c_29167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X6,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X6,xI)) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,xI))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28968,c_6772]) ).
tcf(c_29179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X7,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X7,xI)) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,xI)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28967,c_6772]) ).
tcf(c_29192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X8,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK8(xI,xI,sK6(xI,X8,xI)) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,xI))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28966,c_6772]) ).
tcf(c_29256,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sK21(xb,xb),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sK21(xb,xb) ) ),
inference(superposition,[status(thm)],[c_8006,c_79]) ).
tcf(c_29269,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,xa),sz00),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_12056]) ).
tcf(c_29272,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,xa),sz00),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_11788]) ).
tcf(c_29273,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,xa),sz00),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_11576]) ).
tcf(c_29274,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,xa),sz00),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_27017,c_11254]) ).
tcf(c_29777,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK4(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,sz00),sz00),sK6(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_12056]) ).
tcf(c_29780,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,sz00),sz00),sK5(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_11788]) ).
tcf(c_29781,plain,
! [X0: $i] :
( sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,sz00),sz00),sK4(xI,X0,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_11576]) ).
tcf(c_29782,plain,
! [X0: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,X0) = sz00 )
| ( sdtasdt0(sK21(sK21(xa,sz00),sz00),sK4(xI,xI,X0)) = sz00 ) ),
inference(superposition,[status(thm)],[c_29755,c_11254]) ).
tcf(c_29983,plain,
! [X0: $i,X1: $i] :
( aElement0(sK7(xI,X1,X0))
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_72]) ).
tcf(c_29984,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK7(xI,X1,X0))) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_27682]) ).
tcf(c_29985,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_27328]) ).
tcf(c_29986,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sdtpldt0(sK6(xI,X1,xI),sK7(xI,X2,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_12048]) ).
tcf(c_29987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X1),sK7(xI,X2,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_11780]) ).
tcf(c_29988,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,X1,xI),sK7(xI,X2,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_11581]) ).
tcf(c_29989,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X1),sK7(xI,X2,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_11259]) ).
tcf(c_29990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sdtasdt0(X3,sdtpldt0(sdtpldt0(sK7(xI,X4,X0),X1),X2)) = sz00 )
| ~ aElement0(X3)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9694]) ).
tcf(c_29991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X2,sK7(xI,X4,X0))),X1) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9732]) ).
tcf(c_29992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sdtasdt0(X3,sdtpldt0(sdtasdt0(X2,sK7(xI,X4,X0)),X1)) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9688]) ).
tcf(c_29993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtpldt0(sK7(xI,X4,X0),X1))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9297]) ).
tcf(c_29994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtpldt0(sdtpldt0(sK7(xI,X3,X0),X1),X2) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9669]) ).
tcf(c_29995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sK7(xI,X3,X0)),X1) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9664]) ).
tcf(c_29996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sK7(xI,X3,X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9287]) ).
tcf(c_29997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtpldt0(sK7(xI,X2,X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9278]) ).
tcf(c_29998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( sK5(xI,xI,X9) = sz00 )
| ( sK4(xI,xI,X9) = sz00 )
| ( sdtasdt0(X8,sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK7(xI,X9,X0))))))))) = sz00 )
| ~ aElement0(X8)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9179]) ).
tcf(c_29999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( sK5(xI,xI,X8) = sz00 )
| ( sK4(xI,xI,X8) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK7(xI,X8,X0)))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9147]) ).
tcf(c_30000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sK5(xI,xI,X7) = sz00 )
| ( sK4(xI,xI,X7) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK7(xI,X7,X0))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9118]) ).
tcf(c_30001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( sK5(xI,xI,X6) = sz00 )
| ( sK4(xI,xI,X6) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK7(xI,X6,X0)))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9092]) ).
tcf(c_30002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sK5(xI,xI,X5) = sz00 )
| ( sK4(xI,xI,X5) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK7(xI,X5,X0))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9069]) ).
tcf(c_30003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sK7(xI,X4,X0)))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9049]) ).
tcf(c_30004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sK7(xI,X3,X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_9032]) ).
tcf(c_30005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sdtasdt0(X1,sK7(xI,X2,X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_8838]) ).
tcf(c_30006,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,X0) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_5224]) ).
tcf(c_30011,plain,
! [X0: $i,X1: $i] :
( aElement0(sK7(xI,X1,X0))
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29983,c_6772]) ).
tcf(c_30280,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK3(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_30006]) ).
tcf(c_30281,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK2(xI,X0)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_30006]) ).
tcf(c_30282,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_30006]) ).
tcf(c_30283,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_30006]) ).
tcf(c_30284,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK4(xI,X1,X2)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_30006]) ).
tcf(c_30285,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xI,X2)
| aElementOf0(sK4(X0,xI,X2),X0)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK5(X0,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_30006]) ).
tcf(c_30286,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,xI)
| aElementOf0(sK4(X0,X2,xI),X0)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK6(X0,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_30006]) ).
tcf(c_30287,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_30006]) ).
tcf(c_30288,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_30006]) ).
tcf(c_30289,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_30006]) ).
tcf(c_30290,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_30006]) ).
tcf(c_30293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sdtpldt0(X0,X1)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_30006]) ).
tcf(c_30294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sdtasdt0(X1,X0)) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_30006]) ).
tcf(c_30295,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK7(xI,X1,sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_30006]) ).
tcf(c_30296,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK19(X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_30006]) ).
tcf(c_30298,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK7(xI,X0,sK6(xI,X1,xI)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_30006]) ).
tcf(c_30299,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK5(xI,xI,X1)) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_30006]) ).
tcf(c_30301,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_30006]) ).
tcf(c_30302,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_30006]) ).
tcf(c_30303,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_30006]) ).
tcf(c_30304,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_30006]) ).
tcf(c_30305,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sK7(xI,X1,sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_30006]) ).
tcf(c_30306,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sK7(xI,X1,sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_30006]) ).
tcf(c_30307,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sK7(xI,X1,sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_30006]) ).
tcf(c_30308,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sK7(xI,X1,sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_30006]) ).
tcf(c_30309,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_30006]) ).
tcf(c_30310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK7(xI,X2,X0)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_30006]) ).
tcf(c_30312,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_30006]) ).
tcf(c_30313,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_30006]) ).
tcf(c_30315,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sdtasdt0(X1,X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30294,c_143]) ).
tcf(c_30321,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sdtpldt0(X0,X1)) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30293,c_143]) ).
tcf(c_30349,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30284,c_6772]) ).
tcf(c_30355,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK4(xI,X1,X2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30283,c_6772]) ).
tcf(c_30361,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30304,c_6772]) ).
tcf(c_30367,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30302,c_6772]) ).
tcf(c_30373,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30296,c_6772]) ).
tcf(c_30380,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK2(xI,X0)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30281,c_6772]) ).
tcf(c_30387,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK3(X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30280,c_6772]) ).
tcf(c_30406,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK9(X0,xI,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30313,c_6772]) ).
tcf(c_30413,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK9(xI,X0,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30312,c_6772]) ).
tcf(c_30420,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK7(xI,X1,sK19(X0,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30295,c_6772]) ).
tcf(c_30427,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30290,c_6772]) ).
tcf(c_30435,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK9(X0,X1,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30289,c_6772]) ).
tcf(c_30443,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK9(X0,xI,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30288,c_6772]) ).
tcf(c_30451,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK9(xI,X0,X1)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30287,c_6772]) ).
tcf(c_30459,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X0,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK4(xI,X0,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,X0,X1),sK6(xI,X0,X1)) = sK4(xI,X0,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30282,c_6772]) ).
tcf(c_30465,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sK7(xI,X1,sK4(sdtasasdt0(xI,X0),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30308,c_6772]) ).
tcf(c_30472,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sK7(xI,X1,sK4(sdtasasdt0(X0,xI),X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30307,c_6772]) ).
tcf(c_30479,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sK7(xI,X1,sK4(sdtasasdt0(xI,X0),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30306,c_6772]) ).
tcf(c_30486,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sK7(xI,X1,sK4(sdtasasdt0(X0,xI),xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30305,c_6772]) ).
tcf(c_30493,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30303,c_6772]) ).
tcf(c_30501,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30301,c_6772]) ).
tcf(c_30582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK7(X1,xI,X0),sK8(X1,xI,X0)) = X0 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30298,c_87]) ).
tcf(c_30583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X0,X2),xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK7(xI,X3,sK6(xI,X1,xI)) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_30298,c_84]) ).
tcf(c_30584,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(X2,xI,X0),xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK4(xI,X2,xI) = sz00 )
| ( sK7(xI,X1,sK6(xI,X2,xI)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30298,c_86]) ).
tcf(c_30585,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(X2,xI,X0),X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK4(xI,X2,xI) = sz00 )
| ( sK7(xI,X1,sK6(xI,X2,xI)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30298,c_85]) ).
tcf(c_30625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK7(xI,X1,X0),sK8(xI,X1,X0)) = X0 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30299,c_87]) ).
tcf(c_30626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(sdtpldt0(X2,X0),xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X1)) = sz00 )
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_30299,c_84]) ).
tcf(c_30627,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK8(xI,X2,X0),X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK5(xI,xI,X2)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30299,c_86]) ).
tcf(c_30628,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK7(xI,X2,X0),xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK5(xI,xI,X2)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30299,c_85]) ).
tcf(c_30667,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xI,X2)
| aElement0(sK4(X0,xI,X2))
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK5(X0,xI,X2)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_72]) ).
tcf(c_30668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X3)
| aElementOf0(sK4(sdtasasdt0(X0,X1),xI,X3),X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK5(sdtasasdt0(X0,X1),xI,X3)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30285,c_95]) ).
tcf(c_30669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),xI,X3)
| aElementOf0(sK4(sdtasasdt0(X0,X1),xI,X3),X0)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK5(sdtasasdt0(X0,X1),xI,X3)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30285,c_94]) ).
tcf(c_30670,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),xI,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK5(slsdtgt0(X0),xI,X1)) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),xI,X1))) = sK4(slsdtgt0(X0),xI,X1) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_30285,c_137]) ).
tcf(c_30671,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),xI,X2)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),xI,X2)))
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK5(slsdtgt0(X0),xI,X2)) = sz00 )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_30285,c_136]) ).
tcf(c_30672,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK4(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK5(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_30006]) ).
tcf(c_30673,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK5(xI,xI,X0)) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,xI,X0))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_27682]) ).
tcf(c_30674,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK4(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK5(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_27328]) ).
tcf(c_30675,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_12048]) ).
tcf(c_30676,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_11780]) ).
tcf(c_30677,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_11581]) ).
tcf(c_30678,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,xI,X1)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_11259]) ).
tcf(c_30679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,xI,X3),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30285,c_9694]) ).
tcf(c_30680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,xI,X3))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30285,c_9732]) ).
tcf(c_30681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X3)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30285,c_9688]) ).
tcf(c_30682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X3),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30285,c_9297]) ).
tcf(c_30683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X2)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,xI,X2),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30285,c_9669]) ).
tcf(c_30684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X2)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X2)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30285,c_9664]) ).
tcf(c_30685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X2)) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X2),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30285,c_9287]) ).
tcf(c_30686,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),X0) = sz00 )
| ( sK7(xI,X1,sK5(xI,xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30285,c_9278]) ).
tcf(c_30687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,xI,X8)
| ( sK5(xI,xI,X9) = sz00 )
| ( sK4(xI,xI,X9) = sz00 )
| ( sK7(xI,X9,sK5(xI,xI,X8)) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X8))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_9179]) ).
tcf(c_30688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,xI,X7)
| ( sK5(xI,xI,X8) = sz00 )
| ( sK4(xI,xI,X8) = sz00 )
| ( sK7(xI,X8,sK5(xI,xI,X7)) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X7)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_9147]) ).
tcf(c_30689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,xI,X6)
| ( sK5(xI,xI,X7) = sz00 )
| ( sK4(xI,xI,X7) = sz00 )
| ( sK7(xI,X7,sK5(xI,xI,X6)) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X6))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_9118]) ).
tcf(c_30690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,xI,X5)
| ( sK5(xI,xI,X6) = sz00 )
| ( sK4(xI,xI,X6) = sz00 )
| ( sK7(xI,X6,sK5(xI,xI,X5)) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X5)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_9092]) ).
tcf(c_30691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,xI,X4)
| ( sK5(xI,xI,X5) = sz00 )
| ( sK4(xI,xI,X5) = sz00 )
| ( sK7(xI,X5,sK5(xI,xI,X4)) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X4))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_9069]) ).
tcf(c_30692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X3)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_9049]) ).
tcf(c_30693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X2)) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X2))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_9032]) ).
tcf(c_30694,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK4(xI,xI,X2)) = sz00 )
| ( sK7(xI,X1,sK5(xI,xI,X2)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30285,c_8838]) ).
tcf(c_30702,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK4(xI,xI,X2)) = sz00 )
| ( sK7(xI,X1,sK5(xI,xI,X2)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30694,c_6772]) ).
tcf(c_30709,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X2),X0) = sz00 )
| ( sK7(xI,X1,sK5(xI,xI,X2)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30686,c_6772]) ).
tcf(c_30723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X2)) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X2))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30693,c_6772]) ).
tcf(c_30731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X2)) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X2),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30685,c_6772]) ).
tcf(c_30739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X2)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X2)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30684,c_6772]) ).
tcf(c_30747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,xI,X2)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK5(xI,xI,X2)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,xI,X2),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30683,c_6772]) ).
tcf(c_30771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X3)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30692,c_6772]) ).
tcf(c_30787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,xI,X3),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30682,c_6772]) ).
tcf(c_30796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,xI,X3)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30681,c_6772]) ).
tcf(c_30805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,xI,X3))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30680,c_6772]) ).
tcf(c_30814,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30678,c_6772]) ).
tcf(c_30822,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30677,c_6772]) ).
tcf(c_30830,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(xI,xI,X0)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30676,c_6772]) ).
tcf(c_30838,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30675,c_6772]) ).
tcf(c_30846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,xI,X3)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK5(xI,xI,X3)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,xI,X3),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30679,c_6772]) ).
tcf(c_30855,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK4(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK5(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30674,c_6772]) ).
tcf(c_30863,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK4(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK5(xI,xI,X1)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30672,c_6772]) ).
tcf(c_30871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,xI,X4)
| ( sK5(xI,xI,X5) = sz00 )
| ( sK4(xI,xI,X5) = sz00 )
| ( sK7(xI,X5,sK5(xI,xI,X4)) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X4))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30691,c_6772]) ).
tcf(c_30881,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK5(xI,xI,X0)) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,xI,X0))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30673,c_6772]) ).
tcf(c_30889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,xI,X5)
| ( sK5(xI,xI,X6) = sz00 )
| ( sK4(xI,xI,X6) = sz00 )
| ( sK7(xI,X6,sK5(xI,xI,X5)) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X5)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30690,c_6772]) ).
tcf(c_30900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,xI,X6)
| ( sK5(xI,xI,X7) = sz00 )
| ( sK4(xI,xI,X7) = sz00 )
| ( sK7(xI,X7,sK5(xI,xI,X6)) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X6))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30689,c_6772]) ).
tcf(c_30912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,xI,X7)
| ( sK5(xI,xI,X8) = sz00 )
| ( sK4(xI,xI,X8) = sz00 )
| ( sK7(xI,X8,sK5(xI,xI,X7)) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X7)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30688,c_6772]) ).
tcf(c_30925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,xI,X8)
| ( sK5(xI,xI,X9) = sz00 )
| ( sK4(xI,xI,X9) = sz00 )
| ( sK7(xI,X9,sK5(xI,xI,X8)) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,xI,X8))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30687,c_6772]) ).
tcf(c_31097,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,xI)
| aElement0(sK4(X0,X2,xI))
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK6(X0,X2,xI)) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_72]) ).
tcf(c_31098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),X3,xI)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X3,xI),X1)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK6(sdtasasdt0(X0,X1),X3,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30286,c_95]) ).
tcf(c_31099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtasasdt0(X0,X1),X3,xI)
| aElementOf0(sK4(sdtasasdt0(X0,X1),X3,xI),X0)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK6(sdtasasdt0(X0,X1),X3,xI)) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSet0(sdtasasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_30286,c_94]) ).
tcf(c_31100,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK6(slsdtgt0(X0),X1,xI)) = sz00 )
| ( sdtasdt0(X0,sK21(X0,sK4(slsdtgt0(X0),X1,xI))) = sK4(slsdtgt0(X0),X1,xI) )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_30286,c_137]) ).
tcf(c_31101,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slsdtgt0(X0),X2,xI)
| aElement0(sK21(X0,sK4(slsdtgt0(X0),X2,xI)))
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK6(slsdtgt0(X0),X2,xI)) = sz00 )
| ~ aElement0(X0)
| ~ aSet0(slsdtgt0(X0)) ),
inference(superposition,[status(thm)],[c_30286,c_136]) ).
tcf(c_31102,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK4(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK6(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_30006]) ).
tcf(c_31103,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK6(xI,X0,xI)) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_27682]) ).
tcf(c_31104,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK4(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK6(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_27328]) ).
tcf(c_31105,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_12048]) ).
tcf(c_31106,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_11780]) ).
tcf(c_31107,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_11581]) ).
tcf(c_31108,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,xI)) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_11259]) ).
tcf(c_31109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,xI),X0),X1)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30286,c_9694]) ).
tcf(c_31110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,xI))),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30286,c_9732]) ).
tcf(c_31111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,xI)),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30286,c_9688]) ).
tcf(c_31112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,xI),X0))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30286,c_9297]) ).
tcf(c_31113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK6(xI,X2,xI)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,xI),X0),X1) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30286,c_9669]) ).
tcf(c_31114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK6(xI,X2,xI)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,xI)),X0) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30286,c_9664]) ).
tcf(c_31115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK6(xI,X2,xI)) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,xI),X0)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30286,c_9287]) ).
tcf(c_31116,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),X0) = sz00 )
| ( sK7(xI,X1,sK6(xI,X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_30286,c_9278]) ).
tcf(c_31117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,X8,xI)
| ( sK5(xI,xI,X9) = sz00 )
| ( sK4(xI,xI,X9) = sz00 )
| ( sK7(xI,X9,sK6(xI,X8,xI)) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,xI))))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_9179]) ).
tcf(c_31118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X7,xI)
| ( sK5(xI,xI,X8) = sz00 )
| ( sK4(xI,xI,X8) = sz00 )
| ( sK7(xI,X8,sK6(xI,X7,xI)) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,xI)))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_9147]) ).
tcf(c_31119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X6,xI)
| ( sK5(xI,xI,X7) = sz00 )
| ( sK4(xI,xI,X7) = sz00 )
| ( sK7(xI,X7,sK6(xI,X6,xI)) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,xI))))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_9118]) ).
tcf(c_31120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X5,xI)
| ( sK5(xI,xI,X6) = sz00 )
| ( sK4(xI,xI,X6) = sz00 )
| ( sK7(xI,X6,sK6(xI,X5,xI)) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,xI)))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_9092]) ).
tcf(c_31121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X4,xI)
| ( sK5(xI,xI,X5) = sz00 )
| ( sK4(xI,xI,X5) = sz00 )
| ( sK7(xI,X5,sK6(xI,X4,xI)) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,xI))))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_9069]) ).
tcf(c_31122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,xI)))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_9049]) ).
tcf(c_31123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK6(xI,X2,xI)) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_9032]) ).
tcf(c_31124,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK4(xI,X2,xI)) = sz00 )
| ( sK7(xI,X1,sK6(xI,X2,xI)) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_30286,c_8838]) ).
tcf(c_31132,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK4(xI,X2,xI)) = sz00 )
| ( sK7(xI,X1,sK6(xI,X2,xI)) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31124,c_6772]) ).
tcf(c_31139,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtpldt0(sK4(xI,X2,xI),X0) = sz00 )
| ( sK7(xI,X1,sK6(xI,X2,xI)) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31116,c_6772]) ).
tcf(c_31153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK6(xI,X2,xI)) = sz00 )
| ( sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X2,xI))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31123,c_6772]) ).
tcf(c_31161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK6(xI,X2,xI)) = sz00 )
| ( sdtasdt0(X1,sdtpldt0(sK4(xI,X2,xI),X0)) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31115,c_6772]) ).
tcf(c_31169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK6(xI,X2,xI)) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK4(xI,X2,xI)),X0) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31114,c_6772]) ).
tcf(c_31177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xI,X2,xI)
| ( sK5(xI,xI,X3) = sz00 )
| ( sK4(xI,xI,X3) = sz00 )
| ( sK7(xI,X3,sK6(xI,X2,xI)) = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(xI,X2,xI),X0),X1) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31113,c_6772]) ).
tcf(c_31201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X3,xI)))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31122,c_6772]) ).
tcf(c_31217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtasdt0(X1,sdtpldt0(sK4(xI,X3,xI),X0))) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31112,c_6772]) ).
tcf(c_31226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtasdt0(X1,sK4(xI,X3,xI)),X0)) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31111,c_6772]) ).
tcf(c_31235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X1,sK4(xI,X3,xI))),X0) = sz00 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31110,c_6772]) ).
tcf(c_31244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK4(xI,xI,X0),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31108,c_6772]) ).
tcf(c_31252,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK6(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK4(xI,X0,xI),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31107,c_6772]) ).
tcf(c_31260,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X0)
| sP0(xI,X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK5(xI,xI,X0),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31106,c_6772]) ).
tcf(c_31268,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| sP0(xI,X0,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,X0,xI) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sdtpldt0(sK6(xI,X0,xI),sK4(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31105,c_6772]) ).
tcf(c_31276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(xI,X3,xI)
| ( sK5(xI,xI,X4) = sz00 )
| ( sK4(xI,xI,X4) = sz00 )
| ( sK7(xI,X4,sK6(xI,X3,xI)) = sz00 )
| ( sdtasdt0(X2,sdtpldt0(sdtpldt0(sK4(xI,X3,xI),X0),X1)) = sz00 )
| ~ aElement0(X2)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31109,c_6772]) ).
tcf(c_31285,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK4(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK6(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31104,c_6772]) ).
tcf(c_31293,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK4(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK6(xI,X1,xI)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31102,c_6772]) ).
tcf(c_31301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(xI,X4,xI)
| ( sK5(xI,xI,X5) = sz00 )
| ( sK4(xI,xI,X5) = sz00 )
| ( sK7(xI,X5,sK6(xI,X4,xI)) = sz00 )
| ( sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X4,xI))))) = sz00 )
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31121,c_6772]) ).
tcf(c_31311,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X0,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK6(xI,X0,xI)) = sz00 )
| ( sK8(xI,xI,sK8(xI,xI,sK4(xI,X0,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31103,c_6772]) ).
tcf(c_31319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(xI,X5,xI)
| ( sK5(xI,xI,X6) = sz00 )
| ( sK4(xI,xI,X6) = sz00 )
| ( sK7(xI,X6,sK6(xI,X5,xI)) = sz00 )
| ( sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X5,xI)))))) = sz00 )
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31120,c_6772]) ).
tcf(c_31330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP0(xI,X6,xI)
| ( sK5(xI,xI,X7) = sz00 )
| ( sK4(xI,xI,X7) = sz00 )
| ( sK7(xI,X7,sK6(xI,X6,xI)) = sz00 )
| ( sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X6,xI))))))) = sz00 )
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31119,c_6772]) ).
tcf(c_31342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP0(xI,X7,xI)
| ( sK5(xI,xI,X8) = sz00 )
| ( sK4(xI,xI,X8) = sz00 )
| ( sK7(xI,X8,sK6(xI,X7,xI)) = sz00 )
| ( sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X7,xI)))))))) = sz00 )
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31118,c_6772]) ).
tcf(c_31355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP0(xI,X8,xI)
| ( sK5(xI,xI,X9) = sz00 )
| ( sK4(xI,xI,X9) = sz00 )
| ( sK7(xI,X9,sK6(xI,X8,xI)) = sz00 )
| ( sdtasdt0(X7,sdtasdt0(X6,sdtasdt0(X5,sdtasdt0(X4,sdtasdt0(X3,sdtasdt0(X2,sdtasdt0(X1,sdtasdt0(X0,sK4(xI,X8,xI))))))))) = sz00 )
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31117,c_6772]) ).
tcf(c_31429,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK3(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_29985]) ).
tcf(c_31430,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK2(xI,X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_29985]) ).
tcf(c_31431,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,X2))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_29985]) ).
tcf(c_31432,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,X2))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_29985]) ).
tcf(c_31433,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,X2))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_29985]) ).
tcf(c_31434,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xI,X2)
| aElementOf0(sK4(X0,xI,X2),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK5(X0,xI,X2))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_29985]) ).
tcf(c_31435,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,xI)
| aElementOf0(sK4(X0,X2,xI),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK6(X0,X2,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_29985]) ).
tcf(c_31436,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sK9(xI,X0,X1))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_29985]) ).
tcf(c_31437,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sK9(X0,xI,X1))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_29985]) ).
tcf(c_31438,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_29985]) ).
tcf(c_31439,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_29985]) ).
tcf(c_31442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sdtpldt0(X0,X1))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_29985]) ).
tcf(c_31443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sdtasdt0(X1,X0))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_29985]) ).
tcf(c_31444,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK8(xI,xI,sK7(xI,X1,sK19(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_29985]) ).
tcf(c_31445,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK19(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_29985]) ).
tcf(c_31447,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK6(xI,X1,xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_29985]) ).
tcf(c_31448,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK5(xI,xI,X1))) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_29985]) ).
tcf(c_31450,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,xI,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_29985]) ).
tcf(c_31451,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,xI,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_29985]) ).
tcf(c_31452,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_29985]) ).
tcf(c_31453,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_29985]) ).
tcf(c_31454,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK4(sdtasasdt0(X0,xI),xI,X2))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_29985]) ).
tcf(c_31455,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK4(sdtasasdt0(xI,X0),xI,X2))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_29985]) ).
tcf(c_31456,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK4(sdtasasdt0(X0,xI),X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_29985]) ).
tcf(c_31457,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK4(sdtasasdt0(xI,X0),X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_29985]) ).
tcf(c_31458,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK8(xI,xI,X0))) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_29985]) ).
tcf(c_31459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK7(xI,X2,X0))) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_29985]) ).
tcf(c_31461,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,xI,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_29985]) ).
tcf(c_31462,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_29985]) ).
tcf(c_31463,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK9(xI,X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_29985]) ).
tcf(c_31464,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK9(X0,xI,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_29985]) ).
tcf(c_31472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sdtasdt0(X1,X0))) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31443,c_143]) ).
tcf(c_31480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sdtpldt0(X0,X1))) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31442,c_143]) ).
tcf(c_31518,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,X2))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31433,c_6772]) ).
tcf(c_31526,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,X2))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31432,c_6772]) ).
tcf(c_31534,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31453,c_6772]) ).
tcf(c_31542,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,xI,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31451,c_6772]) ).
tcf(c_31550,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK19(X0,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31445,c_6772]) ).
tcf(c_31559,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK2(xI,X0))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31430,c_6772]) ).
tcf(c_31568,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK3(X0,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31429,c_6772]) ).
tcf(c_31577,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31452,c_6772]) ).
tcf(c_31585,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,xI,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31450,c_6772]) ).
tcf(c_31601,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK9(X0,xI,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31464,c_6772]) ).
tcf(c_31610,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK9(xI,X0,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31463,c_6772]) ).
tcf(c_31619,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK8(xI,xI,sK7(xI,X1,sK19(X0,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31444,c_6772]) ).
tcf(c_31628,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31439,c_6772]) ).
tcf(c_31638,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31438,c_6772]) ).
tcf(c_31648,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sK9(X0,xI,X1))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31437,c_6772]) ).
tcf(c_31658,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X2,sK9(xI,X0,X1))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31436,c_6772]) ).
tcf(c_31668,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,X2))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31431,c_6772]) ).
tcf(c_31676,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK4(sdtasasdt0(xI,X0),X2,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31457,c_6772]) ).
tcf(c_31685,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK4(sdtasasdt0(X0,xI),X2,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31456,c_6772]) ).
tcf(c_31694,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK4(sdtasasdt0(xI,X0),xI,X2))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31455,c_6772]) ).
tcf(c_31703,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sK8(xI,xI,sK7(xI,X1,sK4(sdtasasdt0(X0,xI),xI,X2))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31454,c_6772]) ).
tcf(c_31712,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,X1,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31462,c_6772]) ).
tcf(c_31722,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sK8(xI,xI,sK7(xI,X0,sK4(xI,xI,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31461,c_6772]) ).
tcf(c_32121,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK3(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_30309]) ).
tcf(c_32122,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK2(xI,X0))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_76,c_30309]) ).
tcf(c_32123,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,X2))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_82,c_30309]) ).
tcf(c_32124,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,X2))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_81,c_30309]) ).
tcf(c_32125,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,X2))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_80,c_30309]) ).
tcf(c_32126,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xI,X2)
| aElementOf0(sK4(X0,xI,X2),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK5(X0,xI,X2))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_80,c_30309]) ).
tcf(c_32127,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,xI)
| aElementOf0(sK4(X0,X2,xI),X0)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK6(X0,X2,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_81,c_30309]) ).
tcf(c_32128,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sK9(xI,X0,X1))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_30309]) ).
tcf(c_32129,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sK9(X0,xI,X1))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_30309]) ).
tcf(c_32130,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_91,c_30309]) ).
tcf(c_32131,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_90,c_30309]) ).
tcf(c_32134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sdtpldt0(X0,X1))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_102,c_30309]) ).
tcf(c_32135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sdtasdt0(X1,X0))) = sz00 )
| ~ aIdeal0(xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_103,c_30309]) ).
tcf(c_32136,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK7(xI,X1,sK8(xI,xI,sK19(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_133,c_30309]) ).
tcf(c_32137,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK19(X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_132,c_30309]) ).
tcf(c_32139,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK4(xI,X1,xI) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK6(xI,X1,xI))) = sz00 ) ),
inference(superposition,[status(thm)],[c_10667,c_30309]) ).
tcf(c_32140,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK5(xI,xI,X1))) = sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_30309]) ).
tcf(c_32142,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,xI,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27660,c_30309]) ).
tcf(c_32143,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,xI,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10044,c_30309]) ).
tcf(c_32144,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_27661,c_30309]) ).
tcf(c_32145,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_10640,c_30309]) ).
tcf(c_32146,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK4(sdtasasdt0(X0,xI),xI,X2))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14449,c_30309]) ).
tcf(c_32147,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK4(sdtasasdt0(xI,X0),xI,X2))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14768,c_30309]) ).
tcf(c_32148,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK4(sdtasasdt0(X0,xI),X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_15488,c_30309]) ).
tcf(c_32149,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK4(sdtasasdt0(xI,X0),X2,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16038,c_30309]) ).
tcf(c_32150,plain,
! [X0: $i,X1: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK8(xI,xI,X0))) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12252,c_30309]) ).
tcf(c_32151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK7(xI,X2,X0))) = sz00 )
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_12253,c_30309]) ).
tcf(c_32153,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,xI,X1))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30285,c_30309]) ).
tcf(c_32154,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,xI))) = sz00 )
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_30286,c_30309]) ).
tcf(c_32155,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK9(xI,X0,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21306,c_30309]) ).
tcf(c_32156,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK9(X0,xI,xI))) = sz00 )
| ~ aSet0(xI)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23016,c_30309]) ).
tcf(c_32164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sdtasdt0(X1,X0))) = sz00 )
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32135,c_143]) ).
tcf(c_32172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sdtpldt0(X0,X1))) = sz00 )
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32134,c_143]) ).
tcf(c_32210,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK5(xI,X1,X2),X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,X2))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32125,c_6772]) ).
tcf(c_32218,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| aElementOf0(sK6(xI,X1,X2),X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,X2))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32124,c_6772]) ).
tcf(c_32226,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK6(xI,X1,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32145,c_6772]) ).
tcf(c_32234,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,xI,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32143,c_6772]) ).
tcf(c_32242,plain,
! [X0: $i,X1: $i] :
( aElement0(sK20(X0,xI))
| ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK19(X0,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32137,c_6772]) ).
tcf(c_32251,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK3(xI,X0),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK2(xI,X0))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32122,c_6772]) ).
tcf(c_32260,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK2(X0,xI),X0)
| ( X0 = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK3(X0,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32121,c_6772]) ).
tcf(c_32269,plain,
! [X0: $i,X1: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK6(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32144,c_6772]) ).
tcf(c_32277,plain,
! [X0: $i,X1: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK8(xI,xI,sK5(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,xI,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32142,c_6772]) ).
tcf(c_32293,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,xI) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(X0,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK9(X0,xI,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32156,c_6772]) ).
tcf(c_32302,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(xI,X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK9(xI,X0,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK9(xI,X0,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32155,c_6772]) ).
tcf(c_32311,plain,
! [X0: $i,X1: $i] :
( ( slsdtgt0(X0) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sdtasdt0(X0,sK20(X0,xI)) = sK19(X0,xI) )
| ( sK7(xI,X1,sK8(xI,xI,sK19(X0,xI))) = sz00 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32136,c_6772]) ).
tcf(c_32320,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X0)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32131,c_6772]) ).
tcf(c_32330,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,X1,xI),X1)
| ( sdtasasdt0(X0,X1) = xI )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sK9(X0,X1,xI))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32130,c_6772]) ).
tcf(c_32340,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(X0,xI,X1),X1)
| ( sdtasasdt0(X0,xI) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sK9(X0,xI,X1))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32129,c_6772]) ).
tcf(c_32350,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK9(xI,X0,X1),X1)
| ( sdtasasdt0(xI,X0) = X1 )
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK7(xI,X2,sK8(xI,xI,sK9(xI,X0,X1))) = sz00 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32128,c_6772]) ).
tcf(c_32360,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sdtpldt0(sK5(xI,X1,X2),sK6(xI,X1,X2)) = sK4(xI,X1,X2) )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,X2))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32123,c_6772]) ).
tcf(c_32368,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(xI,X0),X2,xI) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK4(sdtasasdt0(xI,X0),X2,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32149,c_6772]) ).
tcf(c_32377,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),X2,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK6(sdtasasdt0(X0,xI),X2,xI) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK4(sdtasasdt0(X0,xI),X2,xI))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32148,c_6772]) ).
tcf(c_32386,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(xI,X0),xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(xI,X0),xI,X2) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK4(sdtasasdt0(xI,X0),xI,X2))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32147,c_6772]) ).
tcf(c_32395,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sdtasasdt0(X0,xI),xI,X2)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X1) = sz00 )
| ( sK4(xI,xI,X1) = sz00 )
| ( sK5(sdtasasdt0(X0,xI),xI,X2) = sz00 )
| ( sK7(xI,X1,sK8(xI,xI,sK4(sdtasasdt0(X0,xI),xI,X2))) = sz00 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32146,c_6772]) ).
tcf(c_32404,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,X1,xI)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK6(xI,X1,xI)) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,X1,xI))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32154,c_6772]) ).
tcf(c_32414,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xI,xI,X1)
| ( sK5(xI,xI,xI) = sz00 )
| ( sK4(xI,xI,xI) = sz00 )
| ( sK5(xI,xI,X2) = sz00 )
| ( sK5(xI,xI,X0) = sz00 )
| ( sK4(xI,xI,X2) = sz00 )
| ( sK4(xI,xI,X0) = sz00 )
| ( sK7(xI,X2,sK5(xI,xI,X1)) = sz00 )
| ( sK7(xI,X0,sK8(xI,xI,sK4(xI,xI,X1))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32153,c_6772]) ).
tcf(c_32584,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_32583,c_32582,c_32578,c_32577,c_32571,c_32570,c_32565,c_32556,c_32551,c_32547,c_32544,c_32541,c_32538,c_32537,c_32536,c_32535,c_32534,c_32533,c_32532,c_32414,c_32404,c_32395,c_32386,c_32377,c_32368,c_32360,c_32350,c_32340,c_32330,c_32320,c_32311,c_32302,c_32293,c_32277,c_32269,c_32260,c_32251,c_32242,c_32234,c_32226,c_32218,c_32210,c_32172,c_32164,c_32156,c_32154,c_32153,c_32151,c_32150,c_32149,c_32148,c_32147,c_32146,c_32145,c_32144,c_32143,c_32142,c_32140,c_32139,c_32155,c_32137,c_32136,c_32135,c_32134,c_32131,c_32130,c_32129,c_32128,c_32127,c_32126,c_32125,c_32124,c_32123,c_32122,c_32121,c_31722,c_31712,c_31703,c_31694,c_31685,c_31676,c_31668,c_31658,c_31648,c_31638,c_31628,c_31619,c_31610,c_31601,c_31585,c_31577,c_31568,c_31559,c_31550,c_31542,c_31534,c_31526,c_31518,c_31480,c_31472,c_31464,c_31462,c_31461,c_31459,c_31458,c_31457,c_31456,c_31455,c_31454,c_31453,c_31452,c_31451,c_31450,c_31448,c_31447,c_31463,c_31445,c_31444,c_31443,c_31442,c_31439,c_31438,c_31437,c_31436,c_31435,c_31434,c_31433,c_31432,c_31431,c_31430,c_31429,c_31355,c_31342,c_31330,c_31319,c_31311,c_31301,c_31293,c_31285,c_31276,c_31268,c_31260,c_31252,c_31244,c_31235,c_31226,c_31217,c_31201,c_31177,c_31169,c_31161,c_31153,c_31139,c_31132,c_31124,c_31123,c_31122,c_31121,c_31120,c_31119,c_31118,c_31117,c_31116,c_31115,c_31114,c_31113,c_31112,c_31111,c_31110,c_31109,c_31108,c_31107,c_31106,c_31105,c_31104,c_31103,c_31102,c_31101,c_31100,c_31099,c_31098,c_31097,c_30925,c_30912,c_30900,c_30889,c_30881,c_30871,c_30863,c_30855,c_30846,c_30838,c_30830,c_30822,c_30814,c_30805,c_30796,c_30787,c_30771,c_30747,c_30739,c_30731,c_30723,c_30709,c_30702,c_30694,c_30693,c_30692,c_30691,c_30690,c_30689,c_30688,c_30687,c_30686,c_30685,c_30684,c_30683,c_30682,c_30681,c_30680,c_30679,c_30678,c_30677,c_30676,c_30675,c_30674,c_30673,c_30672,c_30671,c_30670,c_30669,c_30668,c_30667,c_30628,c_30627,c_30626,c_30625,c_30585,c_30584,c_30583,c_30582,c_30501,c_30493,c_30486,c_30479,c_30472,c_30465,c_30459,c_30451,c_30443,c_30435,c_30427,c_30420,c_30413,c_30406,c_30387,c_30380,c_30373,c_30367,c_30361,c_30355,c_30349,c_30321,c_30315,c_30313,c_30310,c_30309,c_30308,c_30307,c_30306,c_30305,c_30304,c_30303,c_30302,c_30301,c_30299,c_30298,c_30312,c_30296,c_30295,c_30294,c_30293,c_30290,c_30289,c_30288,c_30287,c_30286,c_30285,c_30284,c_30283,c_30282,c_30281,c_30280,c_30011,c_30006,c_30005,c_30004,c_30003,c_30002,c_30001,c_30000,c_29999,c_29998,c_29997,c_29996,c_29995,c_29994,c_29993,c_29992,c_29991,c_29990,c_29989,c_29988,c_29987,c_29986,c_29985,c_29984,c_29983,c_29801,c_29800,c_29799,c_29798,c_29797,c_29796,c_29795,c_29794,c_29793,c_29792,c_29791,c_29790,c_29789,c_29788,c_29787,c_29786,c_29785,c_29784,c_29783,c_29782,c_29781,c_29780,c_29779,c_29778,c_29777,c_29776,c_29775,c_29774,c_29773,c_29772,c_29756,c_29755,c_29754,c_29753,c_29742,c_29741,c_29740,c_29739,c_29738,c_29737,c_29733,c_29732,c_29726,c_29725,c_29720,c_29293,c_29292,c_29291,c_29290,c_29289,c_29288,c_29287,c_29286,c_29285,c_29284,c_29283,c_29282,c_29281,c_29280,c_29279,c_29278,c_29277,c_29276,c_29275,c_29274,c_29273,c_29272,c_29271,c_29270,c_29269,c_29268,c_29267,c_29266,c_29265,c_29264,c_29256,c_29192,c_29179,c_29167,c_29156,c_29146,c_29137,c_29129,c_29121,c_29113,c_29105,c_29096,c_29087,c_29078,c_29062,c_29038,c_29030,c_29022,c_29014,c_29001,c_28994,c_28987,c_28981,c_28973,c_28972,c_28971,c_28970,c_28969,c_28968,c_28967,c_28966,c_28965,c_28964,c_28963,c_28962,c_28961,c_28960,c_28959,c_28958,c_28957,c_28956,c_28955,c_28954,c_28953,c_28952,c_28951,c_28950,c_28949,c_28948,c_28947,c_28788,c_28775,c_28763,c_28752,c_28742,c_28733,c_28725,c_28717,c_28709,c_28701,c_28692,c_28683,c_28674,c_28658,c_28634,c_28626,c_28618,c_28610,c_28597,c_28590,c_28583,c_28577,c_28569,c_28568,c_28567,c_28566,c_28565,c_28564,c_28563,c_28562,c_28561,c_28560,c_28559,c_28558,c_28557,c_28556,c_28555,c_28554,c_28553,c_28552,c_28551,c_28550,c_28549,c_28548,c_28547,c_28546,c_28545,c_28544,c_28543,c_28472,c_28471,c_28470,c_28469,c_28428,c_28427,c_28426,c_28425,c_28290,c_28283,c_28276,c_28269,c_28263,c_28255,c_28247,c_28239,c_28231,c_28224,c_28217,c_28210,c_28203,c_28196,c_28189,c_28183,c_28177,c_28171,c_28165,c_28137,c_28131,c_28125,c_28122,c_28121,c_28120,c_28119,c_28118,c_28117,c_28116,c_28114,c_28113,c_28124,c_28111,c_28110,c_28109,c_28108,c_28105,c_28104,c_28103,c_28102,c_28101,c_28100,c_28099,c_28098,c_28097,c_28096,c_28095,c_27850,c_27843,c_27836,c_27829,c_27823,c_27815,c_27807,c_27799,c_27791,c_27784,c_27777,c_27770,c_27763,c_27756,c_27749,c_27743,c_27737,c_27731,c_27725,c_27697,c_27691,c_27685,c_27682,c_27681,c_27680,c_27679,c_27678,c_27677,c_27676,c_27674,c_27673,c_27684,c_27671,c_27670,c_27669,c_27668,c_27665,c_27664,c_27663,c_27662,c_27661,c_27660,c_27659,c_27658,c_27657,c_27656,c_27655,c_27328,c_27327,c_27326,c_27325,c_27324,c_27323,c_27322,c_27321,c_27320,c_27319,c_27318,c_27317,c_27316,c_27315,c_27314,c_27313,c_27312,c_27311,c_27310,c_27309,c_27308,c_27307,c_27306,c_27305,c_27304,c_27303,c_27217,c_27210,c_27203,c_27196,c_27190,c_27182,c_27174,c_27166,c_27158,c_27151,c_27144,c_27137,c_27130,c_27123,c_27116,c_27110,c_27104,c_27098,c_27092,c_27064,c_27058,c_27056,c_27053,c_27052,c_27051,c_27050,c_27049,c_27048,c_27046,c_27045,c_27055,c_27043,c_27042,c_27041,c_27040,c_27037,c_27036,c_27035,c_27034,c_27033,c_27032,c_27031,c_27030,c_27029,c_27028,c_27027,c_27018,c_27017,c_27016,c_27015,c_26995,c_26994,c_26993,c_26992,c_26991,c_26990,c_26986,c_26985,c_26979,c_26978,c_26973,c_26710,c_26709,c_26708,c_26707,c_26706,c_26705,c_26704,c_26703,c_26702,c_26701,c_26700,c_26699,c_26698,c_26697,c_26696,c_26695,c_26694,c_26693,c_26692,c_26691,c_26690,c_26689,c_26688,c_26687,c_26686,c_26685,c_26684,c_26683,c_26682,c_26681,c_26680,c_26679,c_26678,c_26677,c_26665,c_26156,c_26155,c_26154,c_26153,c_26152,c_26151,c_26150,c_26149,c_26148,c_26147,c_26146,c_26145,c_26144,c_26143,c_26142,c_26141,c_26140,c_26139,c_26138,c_26137,c_26136,c_26135,c_26134,c_26133,c_26132,c_26131,c_26130,c_26129,c_26128,c_26127,c_26075,c_26068,c_26061,c_26054,c_26048,c_26040,c_26032,c_26024,c_26016,c_26009,c_26002,c_25995,c_25988,c_25981,c_25974,c_25968,c_25962,c_25956,c_25950,c_25922,c_25916,c_25914,c_25911,c_25910,c_25909,c_25908,c_25907,c_25906,c_25904,c_25903,c_25913,c_25901,c_25900,c_25899,c_25898,c_25895,c_25894,c_25893,c_25892,c_25891,c_25890,c_25889,c_25888,c_25887,c_25886,c_25885,c_25601,c_25600,c_25599,c_25598,c_25597,c_25596,c_25595,c_25594,c_25593,c_25592,c_25591,c_25590,c_25589,c_25588,c_25587,c_25586,c_25585,c_25584,c_25583,c_25582,c_25581,c_25580,c_25579,c_25578,c_25577,c_25576,c_25575,c_25574,c_25573,c_25572,c_25481,c_25474,c_25467,c_25460,c_25454,c_25446,c_25438,c_25430,c_25422,c_25415,c_25408,c_25401,c_25394,c_25387,c_25380,c_25374,c_25368,c_25362,c_25356,c_25328,c_25322,c_25320,c_25317,c_25316,c_25315,c_25314,c_25313,c_25312,c_25310,c_25309,c_25319,c_25307,c_25306,c_25305,c_25304,c_25301,c_25300,c_25299,c_25298,c_25297,c_25296,c_25295,c_25294,c_25293,c_25292,c_25291,c_25261,c_25260,c_25259,c_25258,c_25203,c_25202,c_25201,c_25200,c_25162,c_25161,c_25160,c_25159,c_25129,c_25128,c_25127,c_25126,c_25117,c_25116,c_25115,c_25114,c_25113,c_25112,c_25108,c_25107,c_25101,c_25100,c_25095,c_25092,c_25089,c_25088,c_25087,c_25080,c_25077,c_25076,c_25075,c_25068,c_25067,c_25066,c_25065,c_25045,c_25038,c_25032,c_25028,c_25027,c_25026,c_25025,c_25024,c_25023,c_25022,c_24999,c_24998,c_24997,c_24996,c_24993,c_24992,c_24929,c_24923,c_24918,c_24913,c_24908,c_24907,c_24906,c_24904,c_24903,c_24902,c_24886,c_24880,c_24875,c_24870,c_24865,c_24864,c_24863,c_24861,c_24860,c_24859,c_24843,c_24837,c_24832,c_24827,c_24822,c_24821,c_24820,c_24818,c_24817,c_24816,c_24535,c_24534,c_24533,c_24532,c_24531,c_24530,c_24529,c_24528,c_24527,c_24526,c_24525,c_24524,c_24523,c_24522,c_24521,c_24520,c_24519,c_24518,c_24517,c_24516,c_24515,c_24514,c_24513,c_24512,c_24511,c_24510,c_24509,c_24508,c_24507,c_24506,c_24505,c_24504,c_24454,c_24453,c_24452,c_24451,c_24397,c_24396,c_24395,c_24394,c_24366,c_24365,c_24364,c_24313,c_24301,c_24290,c_24280,c_24271,c_24263,c_24256,c_24248,c_24240,c_24232,c_24218,c_24197,c_24190,c_24183,c_24176,c_24164,c_24158,c_24149,c_24148,c_24147,c_24146,c_24145,c_24144,c_24143,c_24142,c_24141,c_24140,c_24139,c_24138,c_24137,c_24136,c_24135,c_24134,c_24133,c_24132,c_24131,c_24130,c_24129,c_24128,c_24127,c_24126,c_23955,c_23954,c_23953,c_23952,c_23951,c_23950,c_23949,c_23948,c_23947,c_23946,c_23945,c_23944,c_23943,c_23942,c_23941,c_23940,c_23939,c_23938,c_23937,c_23936,c_23935,c_23934,c_23933,c_23932,c_23931,c_23930,c_23929,c_23928,c_23927,c_23926,c_23925,c_23924,c_23923,c_23922,c_23918,c_23917,c_23916,c_23915,c_23901,c_23900,c_23869,c_23861,c_23855,c_23849,c_23844,c_23838,c_23832,c_23826,c_23820,c_23813,c_23807,c_23800,c_23799,c_23798,c_23797,c_23796,c_23795,c_23794,c_23793,c_23792,c_23791,c_23790,c_23789,c_23788,c_23787,c_23688,c_23677,c_23667,c_23658,c_23650,c_23626,c_23620,c_23613,c_23606,c_23599,c_23592,c_23586,c_23580,c_23574,c_23568,c_23558,c_23553,c_23549,c_23544,c_23543,c_23542,c_23541,c_23540,c_23539,c_23538,c_23537,c_23536,c_23535,c_23534,c_23533,c_23532,c_23531,c_23530,c_23529,c_23528,c_23527,c_23526,c_23525,c_23524,c_23523,c_23522,c_23386,c_23372,c_23359,c_23346,c_23334,c_23322,c_23311,c_23300,c_23290,c_23280,c_23271,c_23262,c_23254,c_23245,c_23236,c_23227,c_23219,c_23210,c_23201,c_23192,c_23176,c_23160,c_23120,c_23112,c_23104,c_23096,c_23088,c_23080,c_23072,c_23064,c_23043,c_23036,c_23029,c_23022,c_23016,c_23010,c_22998,c_22997,c_22996,c_22995,c_22994,c_22993,c_22992,c_22991,c_22990,c_22989,c_22988,c_22987,c_22986,c_22985,c_22984,c_22983,c_22982,c_22981,c_22980,c_22979,c_22978,c_22977,c_22976,c_22974,c_22973,c_22972,c_22971,c_22970,c_22969,c_22968,c_22967,c_22966,c_22965,c_22964,c_22963,c_22962,c_22961,c_22960,c_22959,c_22958,c_22957,c_22956,c_22955,c_22954,c_22953,c_22952,c_22937,c_22936,c_22932,c_22931,c_22924,c_22919,c_22914,c_22909,c_22908,c_22907,c_22905,c_22904,c_22891,c_22886,c_22881,c_22876,c_22875,c_22874,c_22872,c_22871,c_22673,c_22672,c_22671,c_22670,c_22669,c_22668,c_22667,c_22666,c_22665,c_22664,c_22663,c_22662,c_22661,c_22660,c_22659,c_22658,c_22657,c_22656,c_22655,c_22654,c_22653,c_22652,c_22651,c_22650,c_22649,c_22648,c_22647,c_22646,c_22645,c_22644,c_22643,c_22642,c_22632,c_22628,c_22570,c_22569,c_22568,c_22567,c_22566,c_22539,c_22538,c_22537,c_22536,c_22409,c_22397,c_22386,c_22376,c_22367,c_22359,c_22352,c_22344,c_22336,c_22328,c_22314,c_22293,c_22286,c_22279,c_22272,c_22260,c_22254,c_22245,c_22244,c_22243,c_22242,c_22241,c_22240,c_22239,c_22238,c_22237,c_22236,c_22235,c_22234,c_22233,c_22232,c_22231,c_22230,c_22229,c_22228,c_22227,c_22226,c_22225,c_22224,c_22223,c_22222,c_22032,c_22031,c_22030,c_22029,c_22028,c_22027,c_22026,c_22025,c_22024,c_22023,c_22022,c_22021,c_22020,c_22019,c_22018,c_22017,c_22016,c_22015,c_22014,c_22013,c_22012,c_22011,c_22010,c_22009,c_22008,c_22007,c_22006,c_22005,c_22004,c_22003,c_22002,c_22001,c_21886,c_21885,c_21884,c_21883,c_21882,c_21881,c_21880,c_21879,c_21878,c_21877,c_21876,c_21875,c_21874,c_21873,c_21872,c_21871,c_21870,c_21869,c_21868,c_21867,c_21866,c_21865,c_21864,c_21863,c_21862,c_21861,c_21860,c_21859,c_21858,c_21857,c_21856,c_21852,c_21851,c_21850,c_21849,c_21676,c_21662,c_21649,c_21636,c_21624,c_21612,c_21601,c_21590,c_21580,c_21570,c_21561,c_21552,c_21544,c_21535,c_21526,c_21517,c_21509,c_21500,c_21491,c_21482,c_21466,c_21450,c_21410,c_21402,c_21394,c_21386,c_21378,c_21370,c_21362,c_21354,c_21333,c_21326,c_21319,c_21312,c_21306,c_21300,c_21282,c_21281,c_21280,c_21279,c_21278,c_21277,c_21276,c_21275,c_21274,c_21273,c_21272,c_21271,c_21270,c_21269,c_21268,c_21267,c_21266,c_21265,c_21264,c_21263,c_21262,c_21261,c_21260,c_21259,c_21258,c_21257,c_21256,c_21255,c_21254,c_21253,c_21252,c_21251,c_21250,c_21249,c_21248,c_21247,c_21246,c_21245,c_21244,c_21243,c_21242,c_21241,c_21240,c_21239,c_21238,c_21237,c_21236,c_21158,c_21146,c_21135,c_21125,c_21116,c_21108,c_21101,c_21093,c_21085,c_21077,c_21049,c_21042,c_21035,c_21028,c_21021,c_21009,c_21003,c_20998,c_20992,c_20991,c_20990,c_20989,c_20988,c_20987,c_20986,c_20985,c_20984,c_20983,c_20982,c_20981,c_20980,c_20979,c_20978,c_20977,c_20976,c_20975,c_20974,c_20973,c_20972,c_20971,c_20970,c_20952,c_20927,c_20926,c_20922,c_20921,c_20832,c_20825,c_20818,c_20811,c_20804,c_20797,c_20790,c_20784,c_20778,c_20772,c_20766,c_20738,c_20732,c_20730,c_20729,c_20728,c_20727,c_20726,c_20725,c_20723,c_20722,c_20721,c_20720,c_20719,c_20716,c_20715,c_20714,c_20713,c_20712,c_20711,c_20489,c_20488,c_20487,c_20486,c_20485,c_20484,c_20483,c_20482,c_20481,c_20480,c_20479,c_20478,c_20477,c_20476,c_20475,c_20474,c_20473,c_20472,c_20471,c_20470,c_20469,c_20468,c_20467,c_20466,c_20465,c_20464,c_20463,c_20462,c_20461,c_20460,c_20459,c_20227,c_20226,c_20225,c_20224,c_20223,c_20222,c_20221,c_20220,c_20219,c_20218,c_20217,c_20216,c_20215,c_20214,c_20213,c_20212,c_20211,c_20210,c_20209,c_20208,c_20207,c_20206,c_20205,c_20204,c_20203,c_20202,c_20201,c_20200,c_20199,c_20198,c_20197,c_20154,c_20153,c_20152,c_20151,c_20116,c_20115,c_20114,c_20113,c_20078,c_20077,c_20076,c_20075,c_20040,c_20039,c_20038,c_20037,c_19719,c_19718,c_19717,c_19716,c_19715,c_19714,c_19713,c_19712,c_19711,c_19710,c_19709,c_19708,c_19707,c_19706,c_19705,c_19704,c_19703,c_19702,c_19701,c_19700,c_19699,c_19698,c_19697,c_19696,c_19695,c_19694,c_19693,c_19692,c_19691,c_19690,c_19689,c_19678,c_19677,c_19676,c_19675,c_19673,c_19654,c_19653,c_19652,c_19651,c_19649,c_19641,c_19594,c_19593,c_19317,c_19316,c_19315,c_19314,c_19313,c_19312,c_19311,c_19310,c_19309,c_19308,c_19307,c_19306,c_19305,c_19304,c_19303,c_19302,c_19301,c_19300,c_19299,c_19298,c_19297,c_19296,c_19295,c_19294,c_19293,c_19292,c_19291,c_19290,c_19289,c_19288,c_19287,c_19064,c_19063,c_19062,c_19061,c_19060,c_19059,c_19058,c_19057,c_19056,c_19055,c_19054,c_19053,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_19021,c_19020,c_18743,c_18742,c_18741,c_18740,c_18739,c_18738,c_18737,c_18736,c_18735,c_18734,c_18733,c_18732,c_18731,c_18730,c_18729,c_18728,c_18727,c_18726,c_18725,c_18724,c_18723,c_18722,c_18721,c_18720,c_18719,c_18718,c_18717,c_18716,c_18715,c_18714,c_18713,c_18482,c_18481,c_18480,c_18479,c_18478,c_18477,c_18476,c_18475,c_18474,c_18473,c_18472,c_18471,c_18470,c_18469,c_18468,c_18467,c_18466,c_18465,c_18464,c_18463,c_18462,c_18461,c_18460,c_18459,c_18458,c_18457,c_18456,c_18455,c_18454,c_18453,c_18452,c_18226,c_18225,c_18224,c_18223,c_18222,c_18221,c_18220,c_18219,c_18218,c_18217,c_18216,c_18215,c_18214,c_18213,c_18212,c_18211,c_18210,c_18209,c_18208,c_18207,c_18206,c_18205,c_18204,c_18203,c_18202,c_18201,c_18200,c_18199,c_18198,c_18197,c_18196,c_17953,c_17952,c_17951,c_17950,c_17949,c_17948,c_17947,c_17946,c_17945,c_17944,c_17943,c_17942,c_17941,c_17940,c_17939,c_17938,c_17937,c_17936,c_17935,c_17934,c_17933,c_17932,c_17931,c_17930,c_17929,c_17928,c_17927,c_17926,c_17925,c_17924,c_17923,c_17637,c_17636,c_17635,c_17634,c_17633,c_17632,c_17631,c_17630,c_17629,c_17628,c_17627,c_17626,c_17625,c_17624,c_17623,c_17622,c_17621,c_17620,c_17619,c_17618,c_17617,c_17616,c_17615,c_17614,c_17613,c_17612,c_17611,c_17610,c_17609,c_17608,c_17607,c_17506,c_17505,c_17504,c_17503,c_17502,c_17501,c_17500,c_17499,c_17498,c_17497,c_17496,c_17495,c_17494,c_17493,c_17492,c_17491,c_17490,c_17315,c_17314,c_17313,c_17312,c_17311,c_17310,c_17309,c_17308,c_17307,c_17306,c_17305,c_17304,c_17303,c_17302,c_17301,c_17300,c_17299,c_17174,c_17173,c_17172,c_17171,c_17170,c_17169,c_17168,c_17167,c_17166,c_17165,c_17164,c_17163,c_17162,c_17161,c_17160,c_17159,c_17158,c_17147,c_17144,c_17140,c_17139,c_17132,c_17129,c_17125,c_17124,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_16912,c_16911,c_16910,c_16909,c_16908,c_16907,c_16906,c_16905,c_16904,c_16903,c_16902,c_16901,c_16900,c_16693,c_16692,c_16691,c_16690,c_16689,c_16688,c_16687,c_16686,c_16685,c_16684,c_16683,c_16682,c_16681,c_16680,c_16679,c_16678,c_16655,c_16555,c_16554,c_16553,c_16552,c_16551,c_16550,c_16549,c_16548,c_16547,c_16546,c_16545,c_16544,c_16543,c_16542,c_16541,c_16540,c_16418,c_16417,c_16416,c_16415,c_16414,c_16403,c_16373,c_16372,c_16371,c_16370,c_16369,c_16358,c_16327,c_16326,c_16325,c_16324,c_16323,c_16225,c_16213,c_16202,c_16192,c_16183,c_16169,c_16161,c_16153,c_16145,c_16137,c_16116,c_16109,c_16102,c_16095,c_16083,c_16077,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_16038,c_16003,c_16002,c_16001,c_16000,c_15999,c_15681,c_15669,c_15658,c_15648,c_15639,c_15625,c_15617,c_15609,c_15601,c_15593,c_15572,c_15565,c_15558,c_15551,c_15539,c_15533,c_15528,c_15522,c_15521,c_15520,c_15519,c_15518,c_15517,c_15516,c_15515,c_15514,c_15513,c_15512,c_15511,c_15510,c_15509,c_15508,c_15507,c_15506,c_15505,c_15504,c_15503,c_15502,c_15501,c_15488,c_15343,c_15342,c_15341,c_15340,c_15339,c_15326,c_15325,c_15217,c_15216,c_15215,c_15214,c_15211,c_15210,c_15209,c_15208,c_15207,c_15206,c_15205,c_15204,c_15203,c_15202,c_15201,c_15200,c_15186,c_15161,c_15160,c_15159,c_15142,c_15120,c_15069,c_14955,c_14943,c_14932,c_14922,c_14913,c_14899,c_14891,c_14883,c_14875,c_14867,c_14846,c_14839,c_14832,c_14825,c_14813,c_14807,c_14802,c_14801,c_14800,c_14799,c_14798,c_14797,c_14796,c_14795,c_14794,c_14793,c_14792,c_14791,c_14790,c_14789,c_14788,c_14787,c_14786,c_14785,c_14784,c_14783,c_14782,c_14781,c_14768,c_14743,c_14742,c_14741,c_14740,c_14642,c_14630,c_14619,c_14609,c_14600,c_14586,c_14578,c_14570,c_14562,c_14554,c_14533,c_14526,c_14519,c_14512,c_14500,c_14494,c_14489,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_14469,c_14468,c_14467,c_14466,c_14465,c_14464,c_14463,c_14462,c_14449,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_14262,c_14175,c_14174,c_14173,c_14172,c_14171,c_14170,c_14169,c_14168,c_14167,c_14166,c_14165,c_14164,c_14163,c_14162,c_14161,c_14160,c_14149,c_14006,c_14005,c_14004,c_14003,c_14002,c_14001,c_14000,c_13999,c_13998,c_13997,c_13996,c_13995,c_13994,c_13993,c_13992,c_13991,c_13898,c_13897,c_13896,c_13895,c_13894,c_13838,c_13837,c_13836,c_13835,c_13834,c_13687,c_13686,c_13685,c_13684,c_13683,c_13682,c_13681,c_13680,c_13679,c_13678,c_13677,c_13676,c_13675,c_13674,c_13673,c_13672,c_13671,c_13670,c_13669,c_13668,c_13667,c_13666,c_13488,c_13487,c_13486,c_13485,c_13484,c_13483,c_13482,c_13481,c_13480,c_13479,c_13478,c_13477,c_13476,c_13475,c_13474,c_13473,c_13472,c_13471,c_13470,c_13469,c_13468,c_13467,c_13398,c_13386,c_13375,c_13365,c_13356,c_13348,c_13340,c_13332,c_13324,c_13316,c_13289,c_13282,c_13275,c_13268,c_13256,c_13250,c_13245,c_13239,c_13238,c_13237,c_13236,c_13235,c_13234,c_13233,c_13232,c_13231,c_13230,c_13229,c_13228,c_13227,c_13226,c_13225,c_13224,c_13223,c_13222,c_13221,c_13220,c_13219,c_13218,c_13034,c_13021,c_13009,c_12997,c_12986,c_12975,c_12965,c_12955,c_12946,c_12937,c_12929,c_12921,c_12913,c_12905,c_12897,c_12889,c_12881,c_12873,c_12865,c_12857,c_12810,c_12803,c_12796,c_12789,c_12782,c_12775,c_12768,c_12761,c_12743,c_12737,c_12731,c_12725,c_12720,c_12715,c_12704,c_12703,c_12702,c_12701,c_12700,c_12699,c_12698,c_12697,c_12696,c_12695,c_12694,c_12693,c_12692,c_12691,c_12690,c_12689,c_12688,c_12687,c_12686,c_12685,c_12684,c_12683,c_12682,c_12681,c_12680,c_12679,c_12678,c_12677,c_12676,c_12675,c_12674,c_12673,c_12672,c_12671,c_12670,c_12669,c_12668,c_12667,c_12666,c_12665,c_12664,c_12663,c_12662,c_12661,c_12648,c_12645,c_12641,c_12640,c_12473,c_12472,c_12471,c_12470,c_12469,c_12468,c_12467,c_12466,c_12465,c_12464,c_12463,c_12462,c_12461,c_12460,c_12318,c_12317,c_12316,c_12315,c_12314,c_12313,c_12312,c_12311,c_12310,c_12309,c_12308,c_12307,c_12306,c_12305,c_12279,c_12278,c_12277,c_12253,c_12252,c_12251,c_12056,c_12055,c_12054,c_12053,c_12052,c_12051,c_12050,c_12049,c_12048,c_12047,c_12046,c_12045,c_12044,c_12043,c_12042,c_12041,c_12040,c_12039,c_12038,c_12037,c_12036,c_11788,c_11787,c_11786,c_11785,c_11784,c_11783,c_11782,c_11781,c_11780,c_11779,c_11778,c_11777,c_11776,c_11775,c_11774,c_11773,c_11772,c_11771,c_11770,c_11769,c_11768,c_11705,c_11694,c_11684,c_11675,c_11667,c_11660,c_11653,c_11646,c_11639,c_11627,c_11609,c_11603,c_11597,c_11591,c_11581,c_11576,c_11572,c_11567,c_11566,c_11565,c_11564,c_11563,c_11562,c_11561,c_11560,c_11559,c_11558,c_11557,c_11556,c_11555,c_11554,c_11553,c_11552,c_11551,c_11550,c_11549,c_11548,c_11547,c_11546,c_11383,c_11372,c_11362,c_11353,c_11345,c_11338,c_11331,c_11324,c_11317,c_11305,c_11287,c_11281,c_11275,c_11269,c_11259,c_11254,c_11250,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_11227,c_11226,c_11225,c_11224,c_11205,c_11204,c_11203,c_11202,c_11201,c_11200,c_11199,c_11198,c_11197,c_11196,c_11195,c_11194,c_11193,c_11192,c_11191,c_11190,c_11189,c_11188,c_11137,c_11136,c_11133,c_10938,c_10916,c_10896,c_10878,c_10862,c_10848,c_10820,c_10813,c_10806,c_10787,c_10758,c_10728,c_10722,c_10710,c_10690,c_10680,c_10667,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_10342,c_10320,c_10300,c_10282,c_10266,c_10252,c_10224,c_10217,c_10210,c_10191,c_10162,c_10132,c_10126,c_10114,c_10094,c_10084,c_10071,c_10066,c_10065,c_10064,c_10063,c_10062,c_10061,c_10060,c_10059,c_10058,c_10057,c_10056,c_10055,c_10054,c_10053,c_10052,c_10051,c_10050,c_10049,c_10048,c_10047,c_10046,c_10045,c_10044,c_10043,c_10042,c_10041,c_10040,c_10039,c_10038,c_10037,c_10036,c_10035,c_10034,c_10033,c_10032,c_10031,c_10030,c_10029,c_10028,c_10027,c_10026,c_10025,c_10024,c_10023,c_9961,c_9960,c_9959,c_9958,c_9957,c_9956,c_9955,c_9954,c_9953,c_9952,c_9951,c_9950,c_9949,c_9948,c_9947,c_9946,c_9945,c_9944,c_9943,c_9942,c_9941,c_9940,c_9939,c_9938,c_9937,c_9936,c_9935,c_9934,c_9920,c_9919,c_9906,c_9899,c_9898,c_9897,c_9876,c_9869,c_9868,c_9867,c_9846,c_9839,c_9838,c_9837,c_9793,c_9786,c_9785,c_9784,c_9764,c_9758,c_9757,c_9756,c_9738,c_9732,c_9731,c_9730,c_9694,c_9688,c_9687,c_9686,c_9669,c_9664,c_9663,c_9662,c_9651,c_9650,c_9645,c_9644,c_9643,c_9642,c_9639,c_9638,c_9610,c_9609,c_9608,c_9607,c_9606,c_9605,c_9604,c_9603,c_9602,c_9601,c_9600,c_9599,c_9598,c_9597,c_9596,c_9494,c_9493,c_9492,c_9491,c_9490,c_9489,c_9488,c_9487,c_9486,c_9485,c_9484,c_9483,c_9482,c_9481,c_9480,c_9479,c_9478,c_9477,c_9476,c_9475,c_9473,c_9472,c_9471,c_9470,c_9469,c_9468,c_9467,c_9466,c_9465,c_9360,c_9349,c_9339,c_9330,c_9322,c_9315,c_9297,c_9287,c_9278,c_9277,c_9276,c_9275,c_9274,c_9273,c_9272,c_9271,c_9270,c_9269,c_9268,c_9266,c_9265,c_9264,c_9235,c_9232,c_9231,c_9228,c_9227,c_9214,c_9213,c_9179,c_9178,c_9147,c_9146,c_9118,c_9117,c_9092,c_9091,c_9069,c_9068,c_9049,c_9048,c_9032,c_9031,c_9022,c_9021,c_9017,c_9016,c_9015,c_9014,c_9010,c_9009,c_8847,c_8838,c_8822,c_8818,c_8814,c_8810,c_8806,c_8802,c_8798,c_8794,c_8790,c_8786,c_8782,c_8781,c_8780,c_8779,c_8778,c_8777,c_8775,c_8774,c_8773,c_8772,c_8771,c_8770,c_8769,c_8768,c_8767,c_8764,c_8763,c_8758,c_8757,c_8754,c_8753,c_8731,c_8730,c_8697,c_8696,c_8683,c_8680,c_8677,c_8674,c_8673,c_8672,c_8671,c_8670,c_8652,c_8651,c_8650,c_8649,c_8648,c_8647,c_8646,c_8645,c_8644,c_8643,c_8642,c_8641,c_8640,c_8639,c_8638,c_8637,c_8633,c_8632,c_8605,c_8604,c_8601,c_8600,c_8593,c_8591,c_8536,c_8535,c_8534,c_8533,c_8532,c_8531,c_8530,c_8529,c_8528,c_8527,c_8526,c_8525,c_8524,c_8523,c_8522,c_8521,c_8520,c_8519,c_8512,c_8511,c_8510,c_8509,c_8506,c_8505,c_8504,c_8503,c_8502,c_8501,c_8500,c_8499,c_8432,c_8429,c_8426,c_8425,c_8413,c_8412,c_8371,c_8370,c_8369,c_8368,c_8367,c_8366,c_8365,c_8364,c_8363,c_8362,c_8361,c_8360,c_8359,c_8358,c_8329,c_8328,c_8327,c_8326,c_8325,c_8324,c_8323,c_8322,c_8321,c_8320,c_8319,c_8318,c_8317,c_8316,c_8260,c_8259,c_8258,c_8257,c_8256,c_8255,c_8254,c_8253,c_8252,c_8251,c_8250,c_8249,c_8248,c_8247,c_8240,c_8239,c_8238,c_8237,c_8236,c_8235,c_8234,c_8233,c_8232,c_8231,c_8230,c_8229,c_8228,c_8227,c_8168,c_8167,c_8166,c_8165,c_8164,c_8163,c_8162,c_8161,c_8160,c_8159,c_8158,c_8157,c_8156,c_8155,c_8139,c_8138,c_8137,c_8136,c_8135,c_8134,c_8133,c_8132,c_8131,c_8130,c_8129,c_8128,c_8127,c_8126,c_8080,c_8079,c_8078,c_8077,c_8076,c_8075,c_8074,c_8073,c_8072,c_8071,c_8070,c_8069,c_8068,c_8067,c_8042,c_8041,c_8040,c_8039,c_8038,c_8037,c_8036,c_8035,c_8034,c_8033,c_8032,c_8031,c_8030,c_8029,c_8006,c_8005,c_8004,c_8003,c_8002,c_8001,c_8000,c_7999,c_7998,c_7997,c_7996,c_7995,c_7994,c_7993,c_7992,c_7991,c_7989,c_7988,c_7895,c_7894,c_7893,c_7892,c_7891,c_7890,c_7889,c_7888,c_7887,c_7886,c_7885,c_7884,c_7883,c_7882,c_7805,c_7804,c_7803,c_7802,c_7801,c_7800,c_7799,c_7798,c_7797,c_7796,c_7795,c_7794,c_7793,c_7792,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_7644,c_7643,c_7642,c_7641,c_7640,c_7639,c_7638,c_7637,c_7628,c_7625,c_7622,c_7621,c_7620,c_7619,c_7607,c_7606,c_7604,c_7603,c_7546,c_7545,c_7544,c_7543,c_7542,c_7541,c_7540,c_7539,c_7516,c_7515,c_7514,c_7513,c_7512,c_7511,c_7510,c_7509,c_7508,c_7507,c_7506,c_7505,c_7504,c_7503,c_7502,c_7501,c_7500,c_7499,c_7467,c_7466,c_7465,c_7464,c_7463,c_7462,c_7461,c_7460,c_7459,c_7458,c_7457,c_7438,c_7435,c_7432,c_7429,c_7426,c_7423,c_7422,c_7421,c_7420,c_7419,c_7418,c_7416,c_7415,c_7414,c_7411,c_7410,c_7405,c_7404,c_7401,c_7400,c_7397,c_7396,c_7381,c_7378,c_7375,c_7374,c_7373,c_7372,c_7365,c_7362,c_7359,c_7358,c_7357,c_7356,c_7353,c_7350,c_7338,c_7316,c_7313,c_7310,c_7309,c_7308,c_7307,c_7306,c_7305,c_7304,c_7303,c_7302,c_7301,c_7298,c_7297,c_7294,c_7293,c_7292,c_7291,c_7290,c_7289,c_7288,c_7287,c_7284,c_7283,c_7260,c_7259,c_7258,c_7257,c_7256,c_7255,c_7254,c_7253,c_7229,c_7228,c_7227,c_7226,c_7225,c_7224,c_7223,c_7222,c_7221,c_7160,c_7159,c_7158,c_7157,c_7156,c_7155,c_7154,c_7153,c_7129,c_7128,c_7127,c_7126,c_7125,c_7124,c_7123,c_7122,c_7103,c_7092,c_7059,c_7058,c_7057,c_7056,c_7055,c_7054,c_7053,c_7052,c_7028,c_7027,c_7026,c_7025,c_7024,c_7023,c_7022,c_7021,c_6992,c_6991,c_6990,c_6989,c_6988,c_6987,c_6944,c_6943,c_6942,c_6941,c_6940,c_6939,c_6908,c_6907,c_6906,c_6905,c_6904,c_6903,c_6878,c_6858,c_6857,c_6856,c_6846,c_6845,c_6844,c_6842,c_6834,c_6833,c_6832,c_6830,c_6822,c_6821,c_6820,c_6819,c_6818,c_6810,c_6809,c_6808,c_6807,c_6798,c_6797,c_6796,c_6795,c_6794,c_6772,c_8476,c_8475,c_8486,c_8485,c_17120,c_17119,c_9933,c_7498,c_1762,c_1726,c_1716,c_1678,c_1652,c_1640,c_5224,c_227,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_116,c_115,c_114,c_109,c_108,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,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
% 0.00/0.03 % Problem : RNG109+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 08:19:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 15.14/3.26 % SZS status Started for theBenchmark.p
% 15.14/3.26 % SZS status Theorem for theBenchmark.p
% 15.14/3.26
% 15.14/3.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.14/3.26
% 15.14/3.26 % ------ iProver source info
% 15.14/3.26
% 15.14/3.26 % git: date: 2026-07-19 20:42:38 +0200
% 15.14/3.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.14/3.26 % git: non_committed_changes: false
% 15.14/3.26
% 15.14/3.26 % ------ Parsing...
% 15.14/3.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.14/3.26
% 15.14/3.26 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 15.14/3.26
% 15.14/3.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.14/3.26
% 15.14/3.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.14/3.26 % ------ Proving...
% 15.14/3.26 % ------ Problem Properties
% 15.14/3.26
% 15.14/3.26 %
% 15.14/3.26 % clauses 96
% 15.14/3.26 % conjectures 0
% 15.14/3.26 % EPR 18
% 15.14/3.26 % Horn 73
% 15.14/3.26 % unary 12
% 15.14/3.26 % binary 17
% 15.14/3.26 % lits 334
% 15.14/3.26 % lits eq 46
% 15.14/3.26 % fd_pure 0
% 15.14/3.26 % fd_pseudo 0
% 15.14/3.26 % fd_cond 4
% 15.14/3.26 % fd_pseudo_cond 11
% 15.14/3.26 % AC symbols 0
% 15.14/3.26
% 15.14/3.26 % ------ Schedule dynamic 5 is on
% 15.14/3.26
% 15.14/3.26 % ------ no conjectures: strip conj schedule
% 15.14/3.26
% 15.14/3.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 15.14/3.26
% 15.14/3.26
% 15.14/3.26 % ------
% 15.14/3.26 % Current options:
% 15.14/3.26 % ------
% 15.14/3.26
% 15.14/3.26
% 15.14/3.26 %
% 15.14/3.26
% 15.14/3.26 % ------ Proving...
% 15.14/3.26 %
% 15.14/3.26
% 15.14/3.26 % SZS status Theorem for theBenchmark.p
% 15.14/3.26
% 15.14/3.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.97/3.30
% 17.97/3.30
%------------------------------------------------------------------------------