%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG091+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:48 PM UTC 2026
% Result : Theorem 14.84s 2.80s
% Output : CNFRefutation 14.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 36
% Syntax : Number of formulae : 3726 (2094 unt; 5 def)
% Number of atoms : 8867 (3254 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 6870 (3273 ~;3412 |; 131 &)
% ( 17 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-3 aty)
% Number of variables : 2132 ( 0 sgn2102 !; 30 ?;1777 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f16,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCancel) ).
fof(f18,axiom,
sz10 != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnNeZr) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f21,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,X1) ) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSetEq) ).
fof(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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f25,axiom,
( aIdeal0(xJ)
& aIdeal0(xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
fof(f26,axiom,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(xx,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
fof(f27,axiom,
( xx = sdtpldt0(xk,xl)
& aElementOf0(xl,xJ)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__934) ).
fof(f28,axiom,
( xy = sdtpldt0(xm,xn)
& aElementOf0(xn,xJ)
& aElementOf0(xm,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__967) ).
fof(f29,axiom,
( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__994) ).
fof(f30,axiom,
( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1021) ).
fof(f31,axiom,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1061) ).
fof(f32,axiom,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1098) ).
fof(f33,conjecture,
( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f34,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
& aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f37,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(f38,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(f39,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(unused_predicate_definition_removal,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f42,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f45]) ).
fof(f47,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(f48,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ~ aElement0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f50,plain,
! [X0] :
( ~ aElement0(X0)
| ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f52,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f51]) ).
fof(f53,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(f54,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0] :
( ~ aElement0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f56,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(f57,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,[],[f56]) ).
fof(f58,plain,
! [X0] :
( ~ aElement0(X0)
| ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f59,plain,
! [X0] :
( ~ aElement0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f63,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,[],[f37]) ).
fof(f64,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,[],[f63]) ).
fof(f65,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(f66,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,[],[f65]) ).
fof(f67,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(f68,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,[],[f67]) ).
fof(f69,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,[],[f39]) ).
fof(f70,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f74,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))],[f64]) ).
fof(f75,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,[],[f72]) ).
fof(f76,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,[],[f75]) ).
fof(f81,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,[],[f68]) ).
fof(f82,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,[],[f81]) ).
fof(f83,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,[],[f82]) ).
fof(f84,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))],[f83]) ).
fof(f85,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f92,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f49]) ).
fof(f93,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f49]) ).
fof(f94,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f95,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f98,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f99,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f100,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,[],[f57]) ).
fof(f101,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,[],[f57]) ).
fof(f102,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f103,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f104,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f105,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f59]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f107,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f18]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK3(X0,X1),X1)
| aElementOf0(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK3(X0,X1),X0)
| aElementOf0(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK3(X0,X1),X1)
| ~ aElementOf0(sK2(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK3(X0,X1),X0)
| ~ aElementOf0(sK2(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| sdtpldt1(X1,X0) != X2
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| ~ sP0(X2,X1,X0)
| sdtpldt1(X1,X0) = X2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f124,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtasasdt0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f126,plain,
! [X2,X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtasasdt0(X0,X1) != X2
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f127,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,[],[f84]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtasasdt0(X0,X1) != X2
| aSet0(X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f129,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,[],[f84]) ).
fof(f130,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,[],[f84]) ).
fof(f131,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,[],[f84]) ).
fof(f132,plain,
! [X3,X0,X1] :
( ~ aIdeal0(X0)
| ~ aElementOf0(X1,X0)
| ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X1),X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ aIdeal0(X0)
| ~ aElementOf0(X1,X0)
| ~ aElementOf0(X2,X0)
| aElementOf0(sdtpldt0(X1,X2),X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f134,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f135,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f136,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f137,plain,
aElement0(xz),
inference(cnf_transformation,[],[f26]) ).
fof(f138,plain,
aElementOf0(xy,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f26]) ).
fof(f139,plain,
aElementOf0(xx,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f26]) ).
fof(f140,plain,
xx = sdtpldt0(xk,xl),
inference(cnf_transformation,[],[f27]) ).
fof(f141,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f142,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f143,plain,
xy = sdtpldt0(xm,xn),
inference(cnf_transformation,[],[f28]) ).
fof(f144,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f145,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f28]) ).
fof(f146,plain,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(cnf_transformation,[],[f29]) ).
fof(f147,plain,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(cnf_transformation,[],[f29]) ).
fof(f148,plain,
aElementOf0(sdtasdt0(xz,xl),xJ),
inference(cnf_transformation,[],[f30]) ).
fof(f149,plain,
aElementOf0(sdtasdt0(xz,xk),xI),
inference(cnf_transformation,[],[f30]) ).
fof(f150,plain,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(cnf_transformation,[],[f31]) ).
fof(f151,plain,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
inference(cnf_transformation,[],[f32]) ).
fof(f152,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f153,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(sdtpldt1(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f113]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aSet0(sdtasasdt0(X0,X1)) ),
inference(equality_resolution,[],[f128]) ).
fof(f156,plain,
! [X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,sdtasasdt0(X0,X1)) ),
inference(equality_resolution,[],[f127]) ).
fof(f157,plain,
! [X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X4,sdtasasdt0(X0,X1))
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f158,plain,
! [X0,X1,X4] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X4,sdtasasdt0(X0,X1))
| aElementOf0(X4,X1) ),
inference(equality_resolution,[],[f125]) ).
tcf(c_49,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f85]) ).
tcf(c_50,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f86]) ).
tcf(c_51,plain,
! [X0: $i] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f90]) ).
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,[],[f91]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_58,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_59,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f96]) ).
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,[],[f97]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f98]) ).
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,[],[f101]) ).
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,[],[f100]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( sdtasdt0(X0,smndt0(sz10)) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_68,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_69,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_71,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f107]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
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,[],[f112]) ).
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,[],[f111]) ).
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,[],[f110]) ).
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,[],[f109]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt1(X1,X2) = X0 )
| ~ sP1(X2,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( sP1(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f124]) ).
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,[],[f131]) ).
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,[],[f130]) ).
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,[],[f129]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtasasdt0(X0,X1))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f155]) ).
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,[],[f156]) ).
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,[],[f157]) ).
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,[],[f158]) ).
tcf(c_96,plain,
! [X0: $i] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X0,X2),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtasdt0(X2,X0),X1)
| ~ aIdeal0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_99,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f136]) ).
tcf(c_100,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_101,plain,
aElementOf0(xx,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f139]) ).
tcf(c_102,plain,
aElementOf0(xy,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f138]) ).
tcf(c_103,plain,
aElement0(xz),
inference(cnf_transformation,[],[f137]) ).
tcf(c_104,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f142]) ).
tcf(c_105,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_106,plain,
sdtpldt0(xk,xl) = xx,
inference(cnf_transformation,[],[f140]) ).
tcf(c_107,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f145]) ).
tcf(c_108,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_109,plain,
sdtpldt0(xm,xn) = xy,
inference(cnf_transformation,[],[f143]) ).
tcf(c_110,plain,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(cnf_transformation,[],[f147]) ).
tcf(c_111,plain,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_112,plain,
aElementOf0(sdtasdt0(xz,xk),xI),
inference(cnf_transformation,[],[f149]) ).
tcf(c_113,plain,
aElementOf0(sdtasdt0(xz,xl),xJ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_114,plain,
sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = sdtpldt0(xx,xy),
inference(cnf_transformation,[],[f150]) ).
tcf(c_115,plain,
sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) = sdtasdt0(xz,xx),
inference(cnf_transformation,[],[f151]) ).
tcf(c_116,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_118,plain,
( aElement0(smndt0(sz00))
| ~ aElement0(sz00) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_873,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_874,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(unflattening,[status(thm)],[c_873]) ).
tcf(c_885,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_886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt1(X1,X2) = X0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ sP0(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_885]) ).
tcf(c_907,plain,
! [X0: $i] :
( aSet0(X0)
| ( X0 != xI ) ),
inference(resolution_lifted,[status(thm)],[c_96,c_99]) ).
tcf(c_908,plain,
aSet0(xI),
inference(unflattening,[status(thm)],[c_907]) ).
tcf(c_912,plain,
! [X0: $i] :
( aSet0(X0)
| ( X0 != xJ ) ),
inference(resolution_lifted,[status(thm)],[c_96,c_100]) ).
tcf(c_913,plain,
aSet0(xJ),
inference(unflattening,[status(thm)],[c_912]) ).
tcf(c_917,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X0)
| ( X0 != xI ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_99]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X1,X0),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xI) ),
inference(unflattening,[status(thm)],[c_917]) ).
tcf(c_929,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0)
| ~ aElementOf0(X1,X0)
| ( X0 != xI ) ),
inference(resolution_lifted,[status(thm)],[c_97,c_99]) ).
tcf(c_930,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(unflattening,[status(thm)],[c_929]) ).
tcf(c_941,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2)
| ~ aElementOf0(X1,X0)
| ( X0 != xJ ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_100]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xJ) ),
inference(unflattening,[status(thm)],[c_941]) ).
tcf(c_953,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0)
| ~ aElementOf0(X1,X0)
| ( X0 != xJ ) ),
inference(resolution_lifted,[status(thm)],[c_97,c_100]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtpldt0(X0,X1),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(unflattening,[status(thm)],[c_953]) ).
tcf(c_1616,definition,
iPr_def_10 = sdtpldt0(xx,xy),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1617,definition,
iPr_def_11 = sdtpldt1(xI,xJ),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1618,definition,
iPr_def_12 = sdtasdt0(xz,xx),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1619,negated_conjecture,
( ~ aElementOf0(iPr_def_12,iPr_def_11)
| ~ aElementOf0(iPr_def_10,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_116,c_1618,c_1617,c_1616]) ).
tcf(c_2519,plain,
aElementOf0(xx,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_101,c_1617]) ).
tcf(c_2520,plain,
aElementOf0(xy,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_102,c_1617]) ).
tcf(c_2525,plain,
( aElementOf0(xx,xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(xk,xI) ),
inference(superposition,[status(thm)],[c_106,c_930]) ).
tcf(c_2526,plain,
( aElementOf0(xx,xI)
| ~ aElementOf0(xl,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2525,c_104]) ).
tcf(c_2529,plain,
( aElementOf0(xy,xI)
| ~ aElementOf0(xn,xI)
| ~ aElementOf0(xm,xI) ),
inference(superposition,[status(thm)],[c_109,c_930]) ).
tcf(c_2530,plain,
( aElementOf0(xy,xI)
| ~ aElementOf0(xn,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2529,c_107]) ).
tcf(c_2533,plain,
( aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(xy,xI)
| ~ aElementOf0(xx,xI) ),
inference(superposition,[status(thm)],[c_1616,c_930]) ).
tcf(c_2547,plain,
( aElementOf0(xx,xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(xk,xJ) ),
inference(superposition,[status(thm)],[c_106,c_954]) ).
tcf(c_2548,plain,
( aElementOf0(xy,xJ)
| ~ aElementOf0(xn,xJ)
| ~ aElementOf0(xm,xJ) ),
inference(superposition,[status(thm)],[c_109,c_954]) ).
tcf(c_2549,plain,
( aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(xy,xJ)
| ~ aElementOf0(xx,xJ) ),
inference(superposition,[status(thm)],[c_1616,c_954]) ).
tcf(c_2553,plain,
( aElementOf0(xy,xJ)
| ~ aElementOf0(xm,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2548,c_108]) ).
tcf(c_2556,plain,
( aElementOf0(xx,xJ)
| ~ aElementOf0(xk,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2547,c_105]) ).
tcf(c_2563,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_56]) ).
tcf(c_2564,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_50,c_56]) ).
tcf(c_2565,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz00) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_56]) ).
tcf(c_2566,plain,
sdtpldt0(xz,sz00) = xz,
inference(superposition,[status(thm)],[c_103,c_56]) ).
tcf(c_2575,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_50,c_57]) ).
tcf(c_2576,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,smndt0(X0)) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_57]) ).
tcf(c_2577,plain,
sdtpldt0(sz00,xz) = xz,
inference(superposition,[status(thm)],[c_103,c_57]) ).
tcf(c_2585,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_49,c_62]) ).
tcf(c_2586,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(superposition,[status(thm)],[c_50,c_62]) ).
tcf(c_2587,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz10) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_62]) ).
tcf(c_2588,plain,
sdtasdt0(xz,sz10) = xz,
inference(superposition,[status(thm)],[c_103,c_62]) ).
tcf(c_2596,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_63]) ).
tcf(c_2598,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,smndt0(X0)) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_63]) ).
tcf(c_2599,plain,
sdtasdt0(sz10,xz) = xz,
inference(superposition,[status(thm)],[c_103,c_63]) ).
tcf(c_2631,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_68]) ).
tcf(c_2633,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_68]) ).
tcf(c_2634,plain,
sdtasdt0(xz,sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_68]) ).
tcf(c_2644,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(X0)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_69]) ).
tcf(c_2645,plain,
sdtasdt0(sz00,xz) = sz00,
inference(superposition,[status(thm)],[c_103,c_69]) ).
tcf(c_2655,plain,
( aElement0(xk)
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_104,c_72]) ).
tcf(c_2656,plain,
( aElement0(xl)
| ~ aSet0(xJ) ),
inference(superposition,[status(thm)],[c_105,c_72]) ).
tcf(c_2657,plain,
( aElement0(xm)
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_107,c_72]) ).
tcf(c_2658,plain,
( aElement0(xn)
| ~ aSet0(xJ) ),
inference(superposition,[status(thm)],[c_108,c_72]) ).
tcf(c_2659,plain,
( aElement0(sdtpldt0(xk,xm))
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_110,c_72]) ).
tcf(c_2660,plain,
( aElement0(sdtpldt0(xl,xn))
| ~ aSet0(xJ) ),
inference(superposition,[status(thm)],[c_111,c_72]) ).
tcf(c_2661,plain,
( aElement0(sdtasdt0(xz,xk))
| ~ aSet0(xI) ),
inference(superposition,[status(thm)],[c_112,c_72]) ).
tcf(c_2662,plain,
( aElement0(sdtasdt0(xz,xl))
| ~ aSet0(xJ) ),
inference(superposition,[status(thm)],[c_113,c_72]) ).
tcf(c_2663,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aSet0(xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(superposition,[status(thm)],[c_930,c_72]) ).
tcf(c_2664,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aSet0(xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(superposition,[status(thm)],[c_954,c_72]) ).
tcf(c_2665,plain,
( aElement0(xx)
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_2519,c_72]) ).
tcf(c_2666,plain,
( aElement0(xy)
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_2520,c_72]) ).
tcf(c_2671,plain,
aElement0(xn),
inference(forward_subsumption_resolution,[status(thm)],[c_2658,c_913]) ).
tcf(c_2672,plain,
aElement0(xm),
inference(forward_subsumption_resolution,[status(thm)],[c_2657,c_908]) ).
tcf(c_2673,plain,
aElement0(xl),
inference(forward_subsumption_resolution,[status(thm)],[c_2656,c_913]) ).
tcf(c_2674,plain,
aElement0(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_2655,c_908]) ).
tcf(c_2675,plain,
aElement0(sdtasdt0(xz,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_2662,c_913]) ).
tcf(c_2676,plain,
aElement0(sdtasdt0(xz,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_2661,c_908]) ).
tcf(c_2677,plain,
aElement0(sdtpldt0(xl,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_2660,c_913]) ).
tcf(c_2678,plain,
aElement0(sdtpldt0(xk,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_2659,c_908]) ).
tcf(c_2679,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2664,c_913]) ).
tcf(c_2683,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2663,c_908]) ).
tcf(c_2695,plain,
( aElement0(xx)
| ~ aElement0(xl)
| ~ aElement0(xk) ),
inference(superposition,[status(thm)],[c_106,c_52]) ).
tcf(c_2696,plain,
( aElement0(xy)
| ~ aElement0(xn)
| ~ aElement0(xm) ),
inference(superposition,[status(thm)],[c_109,c_52]) ).
tcf(c_2697,plain,
( aElement0(iPr_def_10)
| ~ aElement0(xy)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_1616,c_52]) ).
tcf(c_2703,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_2704,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_2705,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_2706,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_2707,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_2708,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_2742,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_2671,c_69]) ).
tcf(c_2743,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_2671,c_68]) ).
tcf(c_2744,plain,
sdtasdt0(sz10,xn) = xn,
inference(superposition,[status(thm)],[c_2671,c_63]) ).
tcf(c_2745,plain,
sdtasdt0(xn,sz10) = xn,
inference(superposition,[status(thm)],[c_2671,c_62]) ).
tcf(c_2746,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_2671,c_57]) ).
tcf(c_2747,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_2671,c_56]) ).
tcf(c_2748,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_2672,c_69]) ).
tcf(c_2749,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_2672,c_68]) ).
tcf(c_2750,plain,
sdtasdt0(sz10,xm) = xm,
inference(superposition,[status(thm)],[c_2672,c_63]) ).
tcf(c_2751,plain,
sdtasdt0(xm,sz10) = xm,
inference(superposition,[status(thm)],[c_2672,c_62]) ).
tcf(c_2752,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_2672,c_57]) ).
tcf(c_2753,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_2672,c_56]) ).
tcf(c_2754,plain,
sdtasdt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_2673,c_69]) ).
tcf(c_2755,plain,
sdtasdt0(xl,sz00) = sz00,
inference(superposition,[status(thm)],[c_2673,c_68]) ).
tcf(c_2756,plain,
sdtasdt0(sz10,xl) = xl,
inference(superposition,[status(thm)],[c_2673,c_63]) ).
tcf(c_2757,plain,
sdtasdt0(xl,sz10) = xl,
inference(superposition,[status(thm)],[c_2673,c_62]) ).
tcf(c_2758,plain,
sdtpldt0(sz00,xl) = xl,
inference(superposition,[status(thm)],[c_2673,c_57]) ).
tcf(c_2759,plain,
sdtpldt0(xl,sz00) = xl,
inference(superposition,[status(thm)],[c_2673,c_56]) ).
tcf(c_2760,plain,
sdtasdt0(sz00,xk) = sz00,
inference(superposition,[status(thm)],[c_2674,c_69]) ).
tcf(c_2761,plain,
sdtasdt0(xk,sz00) = sz00,
inference(superposition,[status(thm)],[c_2674,c_68]) ).
tcf(c_2762,plain,
sdtasdt0(sz10,xk) = xk,
inference(superposition,[status(thm)],[c_2674,c_63]) ).
tcf(c_2763,plain,
sdtasdt0(xk,sz10) = xk,
inference(superposition,[status(thm)],[c_2674,c_62]) ).
tcf(c_2764,plain,
sdtpldt0(sz00,xk) = xk,
inference(superposition,[status(thm)],[c_2674,c_57]) ).
tcf(c_2765,plain,
sdtpldt0(xk,sz00) = xk,
inference(superposition,[status(thm)],[c_2674,c_56]) ).
tcf(c_2774,plain,
sdtasdt0(sz00,sdtasdt0(xz,xl)) = sz00,
inference(superposition,[status(thm)],[c_2675,c_69]) ).
tcf(c_2775,plain,
sdtasdt0(sdtasdt0(xz,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_2675,c_68]) ).
tcf(c_2776,plain,
sdtasdt0(sz10,sdtasdt0(xz,xl)) = sdtasdt0(xz,xl),
inference(superposition,[status(thm)],[c_2675,c_63]) ).
tcf(c_2777,plain,
sdtasdt0(sdtasdt0(xz,xl),sz10) = sdtasdt0(xz,xl),
inference(superposition,[status(thm)],[c_2675,c_62]) ).
tcf(c_2778,plain,
sdtpldt0(sz00,sdtasdt0(xz,xl)) = sdtasdt0(xz,xl),
inference(superposition,[status(thm)],[c_2675,c_57]) ).
tcf(c_2779,plain,
sdtpldt0(sdtasdt0(xz,xl),sz00) = sdtasdt0(xz,xl),
inference(superposition,[status(thm)],[c_2675,c_56]) ).
tcf(c_2788,plain,
sdtasdt0(sz00,sdtasdt0(xz,xk)) = sz00,
inference(superposition,[status(thm)],[c_2676,c_69]) ).
tcf(c_2789,plain,
sdtasdt0(sdtasdt0(xz,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_2676,c_68]) ).
tcf(c_2790,plain,
sdtasdt0(sz10,sdtasdt0(xz,xk)) = sdtasdt0(xz,xk),
inference(superposition,[status(thm)],[c_2676,c_63]) ).
tcf(c_2791,plain,
sdtasdt0(sdtasdt0(xz,xk),sz10) = sdtasdt0(xz,xk),
inference(superposition,[status(thm)],[c_2676,c_62]) ).
tcf(c_2792,plain,
sdtpldt0(sz00,sdtasdt0(xz,xk)) = sdtasdt0(xz,xk),
inference(superposition,[status(thm)],[c_2676,c_57]) ).
tcf(c_2793,plain,
sdtpldt0(sdtasdt0(xz,xk),sz00) = sdtasdt0(xz,xk),
inference(superposition,[status(thm)],[c_2676,c_56]) ).
tcf(c_2802,plain,
sdtasdt0(sz00,sdtpldt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_2677,c_69]) ).
tcf(c_2803,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_2677,c_68]) ).
tcf(c_2804,plain,
sdtasdt0(sz10,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2677,c_63]) ).
tcf(c_2805,plain,
sdtasdt0(sdtpldt0(xl,xn),sz10) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2677,c_62]) ).
tcf(c_2806,plain,
sdtpldt0(sz00,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2677,c_57]) ).
tcf(c_2807,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2677,c_56]) ).
tcf(c_2816,plain,
sdtasdt0(sz00,sdtpldt0(xk,xm)) = sz00,
inference(superposition,[status(thm)],[c_2678,c_69]) ).
tcf(c_2817,plain,
sdtasdt0(sdtpldt0(xk,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_2678,c_68]) ).
tcf(c_2818,plain,
sdtasdt0(sz10,sdtpldt0(xk,xm)) = sdtpldt0(xk,xm),
inference(superposition,[status(thm)],[c_2678,c_63]) ).
tcf(c_2819,plain,
sdtasdt0(sdtpldt0(xk,xm),sz10) = sdtpldt0(xk,xm),
inference(superposition,[status(thm)],[c_2678,c_62]) ).
tcf(c_2820,plain,
sdtpldt0(sz00,sdtpldt0(xk,xm)) = sdtpldt0(xk,xm),
inference(superposition,[status(thm)],[c_2678,c_57]) ).
tcf(c_2821,plain,
sdtpldt0(sdtpldt0(xk,xm),sz00) = sdtpldt0(xk,xm),
inference(superposition,[status(thm)],[c_2678,c_56]) ).
tcf(c_2826,plain,
aElement0(xx),
inference(global_subsumption_just,[status(thm)],[c_2665,c_2674,c_2673,c_2695]) ).
tcf(c_2828,plain,
sdtasdt0(sz00,xx) = sz00,
inference(superposition,[status(thm)],[c_2826,c_69]) ).
tcf(c_2829,plain,
sdtasdt0(xx,sz00) = sz00,
inference(superposition,[status(thm)],[c_2826,c_68]) ).
tcf(c_2830,plain,
sdtasdt0(sz10,xx) = xx,
inference(superposition,[status(thm)],[c_2826,c_63]) ).
tcf(c_2831,plain,
sdtasdt0(xx,sz10) = xx,
inference(superposition,[status(thm)],[c_2826,c_62]) ).
tcf(c_2832,plain,
sdtpldt0(sz00,xx) = xx,
inference(superposition,[status(thm)],[c_2826,c_57]) ).
tcf(c_2833,plain,
sdtpldt0(xx,sz00) = xx,
inference(superposition,[status(thm)],[c_2826,c_56]) ).
tcf(c_2842,plain,
aElement0(xy),
inference(global_subsumption_just,[status(thm)],[c_2666,c_2672,c_2671,c_2696]) ).
tcf(c_2844,plain,
sdtasdt0(sz00,xy) = sz00,
inference(superposition,[status(thm)],[c_2842,c_69]) ).
tcf(c_2845,plain,
sdtasdt0(xy,sz00) = sz00,
inference(superposition,[status(thm)],[c_2842,c_68]) ).
tcf(c_2846,plain,
sdtasdt0(sz10,xy) = xy,
inference(superposition,[status(thm)],[c_2842,c_63]) ).
tcf(c_2847,plain,
sdtasdt0(xy,sz10) = xy,
inference(superposition,[status(thm)],[c_2842,c_62]) ).
tcf(c_2848,plain,
sdtpldt0(sz00,xy) = xy,
inference(superposition,[status(thm)],[c_2842,c_57]) ).
tcf(c_2849,plain,
sdtpldt0(xy,sz00) = xy,
inference(superposition,[status(thm)],[c_2842,c_56]) ).
tcf(c_2886,plain,
( aElement0(iPr_def_12)
| ~ aElement0(xz)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_1618,c_53]) ).
tcf(c_2894,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_2895,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_2896,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_2897,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_2898,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_2899,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_2900,plain,
aElement0(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_2886,c_103,c_2826]) ).
tcf(c_2929,plain,
sdtpldt0(sz00,smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_58]) ).
tcf(c_2930,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(superposition,[status(thm)],[c_50,c_58]) ).
tcf(c_2931,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_58]) ).
tcf(c_2932,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_2933,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_2934,plain,
sdtpldt0(xz,smndt0(xz)) = sz00,
inference(superposition,[status(thm)],[c_103,c_58]) ).
tcf(c_2935,plain,
sdtpldt0(xk,smndt0(xk)) = sz00,
inference(superposition,[status(thm)],[c_2674,c_58]) ).
tcf(c_2936,plain,
sdtpldt0(xl,smndt0(xl)) = sz00,
inference(superposition,[status(thm)],[c_2673,c_58]) ).
tcf(c_2937,plain,
sdtpldt0(xm,smndt0(xm)) = sz00,
inference(superposition,[status(thm)],[c_2672,c_58]) ).
tcf(c_2938,plain,
sdtpldt0(xn,smndt0(xn)) = sz00,
inference(superposition,[status(thm)],[c_2671,c_58]) ).
tcf(c_2939,plain,
sdtpldt0(sdtpldt0(xk,xm),smndt0(sdtpldt0(xk,xm))) = sz00,
inference(superposition,[status(thm)],[c_2678,c_58]) ).
tcf(c_2940,plain,
sdtpldt0(sdtpldt0(xl,xn),smndt0(sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2677,c_58]) ).
tcf(c_2941,plain,
sdtpldt0(sdtasdt0(xz,xk),smndt0(sdtasdt0(xz,xk))) = sz00,
inference(superposition,[status(thm)],[c_2676,c_58]) ).
tcf(c_2942,plain,
sdtpldt0(sdtasdt0(xz,xl),smndt0(sdtasdt0(xz,xl))) = sz00,
inference(superposition,[status(thm)],[c_2675,c_58]) ).
tcf(c_2943,plain,
sdtpldt0(xx,smndt0(xx)) = sz00,
inference(superposition,[status(thm)],[c_2826,c_58]) ).
tcf(c_2944,plain,
sdtpldt0(xy,smndt0(xy)) = sz00,
inference(superposition,[status(thm)],[c_2842,c_58]) ).
tcf(c_2980,plain,
sdtpldt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_59]) ).
tcf(c_2981,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(superposition,[status(thm)],[c_50,c_59]) ).
tcf(c_2982,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_59]) ).
tcf(c_2983,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_2984,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_2985,plain,
sdtpldt0(smndt0(xz),xz) = sz00,
inference(superposition,[status(thm)],[c_103,c_59]) ).
tcf(c_2986,plain,
sdtpldt0(smndt0(xk),xk) = sz00,
inference(superposition,[status(thm)],[c_2674,c_59]) ).
tcf(c_2987,plain,
sdtpldt0(smndt0(xl),xl) = sz00,
inference(superposition,[status(thm)],[c_2673,c_59]) ).
tcf(c_2988,plain,
sdtpldt0(smndt0(xm),xm) = sz00,
inference(superposition,[status(thm)],[c_2672,c_59]) ).
tcf(c_2989,plain,
sdtpldt0(smndt0(xn),xn) = sz00,
inference(superposition,[status(thm)],[c_2671,c_59]) ).
tcf(c_2990,plain,
sdtpldt0(smndt0(sdtpldt0(xk,xm)),sdtpldt0(xk,xm)) = sz00,
inference(superposition,[status(thm)],[c_2678,c_59]) ).
tcf(c_2991,plain,
sdtpldt0(smndt0(sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_2677,c_59]) ).
tcf(c_2992,plain,
sdtpldt0(smndt0(sdtasdt0(xz,xk)),sdtasdt0(xz,xk)) = sz00,
inference(superposition,[status(thm)],[c_2676,c_59]) ).
tcf(c_2993,plain,
sdtpldt0(smndt0(sdtasdt0(xz,xl)),sdtasdt0(xz,xl)) = sz00,
inference(superposition,[status(thm)],[c_2675,c_59]) ).
tcf(c_2994,plain,
sdtpldt0(smndt0(xx),xx) = sz00,
inference(superposition,[status(thm)],[c_2826,c_59]) ).
tcf(c_2995,plain,
sdtpldt0(smndt0(xy),xy) = sz00,
inference(superposition,[status(thm)],[c_2842,c_59]) ).
tcf(c_3033,plain,
sdtpldt0(smndt0(iPr_def_12),iPr_def_12) = sz00,
inference(superposition,[status(thm)],[c_2900,c_59]) ).
tcf(c_3034,plain,
sdtpldt0(iPr_def_12,smndt0(iPr_def_12)) = sz00,
inference(superposition,[status(thm)],[c_2900,c_58]) ).
tcf(c_3035,plain,
sdtasdt0(sz00,iPr_def_12) = sz00,
inference(superposition,[status(thm)],[c_2900,c_69]) ).
tcf(c_3036,plain,
sdtasdt0(iPr_def_12,sz00) = sz00,
inference(superposition,[status(thm)],[c_2900,c_68]) ).
tcf(c_3037,plain,
sdtasdt0(sz10,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_2900,c_63]) ).
tcf(c_3038,plain,
sdtasdt0(iPr_def_12,sz10) = iPr_def_12,
inference(superposition,[status(thm)],[c_2900,c_62]) ).
tcf(c_3039,plain,
sdtpldt0(sz00,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_2900,c_57]) ).
tcf(c_3040,plain,
sdtpldt0(iPr_def_12,sz00) = iPr_def_12,
inference(superposition,[status(thm)],[c_2900,c_56]) ).
tcf(c_3071,plain,
sdtasdt0(smndt0(sz10),sz00) = smndt0(sz00),
inference(superposition,[status(thm)],[c_49,c_66]) ).
tcf(c_3072,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference(superposition,[status(thm)],[c_50,c_66]) ).
tcf(c_3073,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz10),smndt0(X0)) = smndt0(smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_66]) ).
tcf(c_3074,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_3075,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_3076,plain,
sdtasdt0(smndt0(sz10),xz) = smndt0(xz),
inference(superposition,[status(thm)],[c_103,c_66]) ).
tcf(c_3077,plain,
sdtasdt0(smndt0(sz10),xk) = smndt0(xk),
inference(superposition,[status(thm)],[c_2674,c_66]) ).
tcf(c_3078,plain,
sdtasdt0(smndt0(sz10),xl) = smndt0(xl),
inference(superposition,[status(thm)],[c_2673,c_66]) ).
tcf(c_3079,plain,
sdtasdt0(smndt0(sz10),xm) = smndt0(xm),
inference(superposition,[status(thm)],[c_2672,c_66]) ).
tcf(c_3080,plain,
sdtasdt0(smndt0(sz10),xn) = smndt0(xn),
inference(superposition,[status(thm)],[c_2671,c_66]) ).
tcf(c_3081,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,xm)) = smndt0(sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_66]) ).
tcf(c_3082,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,xn)) = smndt0(sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_66]) ).
tcf(c_3083,plain,
sdtasdt0(smndt0(sz10),sdtasdt0(xz,xk)) = smndt0(sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_66]) ).
tcf(c_3084,plain,
sdtasdt0(smndt0(sz10),sdtasdt0(xz,xl)) = smndt0(sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_66]) ).
tcf(c_3085,plain,
sdtasdt0(smndt0(sz10),xx) = smndt0(xx),
inference(superposition,[status(thm)],[c_2826,c_66]) ).
tcf(c_3086,plain,
sdtasdt0(smndt0(sz10),xy) = smndt0(xy),
inference(superposition,[status(thm)],[c_2842,c_66]) ).
tcf(c_3087,plain,
sdtasdt0(smndt0(sz10),iPr_def_12) = smndt0(iPr_def_12),
inference(superposition,[status(thm)],[c_2900,c_66]) ).
tcf(c_3124,plain,
sdtasdt0(sz00,smndt0(sz10)) = smndt0(sz00),
inference(superposition,[status(thm)],[c_49,c_67]) ).
tcf(c_3125,plain,
sdtasdt0(sz10,smndt0(sz10)) = smndt0(sz10),
inference(superposition,[status(thm)],[c_50,c_67]) ).
tcf(c_3126,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(sz10)) = smndt0(smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_67]) ).
tcf(c_3127,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_3128,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_3129,plain,
sdtasdt0(xz,smndt0(sz10)) = smndt0(xz),
inference(superposition,[status(thm)],[c_103,c_67]) ).
tcf(c_3130,plain,
sdtasdt0(xk,smndt0(sz10)) = smndt0(xk),
inference(superposition,[status(thm)],[c_2674,c_67]) ).
tcf(c_3131,plain,
sdtasdt0(xl,smndt0(sz10)) = smndt0(xl),
inference(superposition,[status(thm)],[c_2673,c_67]) ).
tcf(c_3132,plain,
sdtasdt0(xm,smndt0(sz10)) = smndt0(xm),
inference(superposition,[status(thm)],[c_2672,c_67]) ).
tcf(c_3133,plain,
sdtasdt0(xn,smndt0(sz10)) = smndt0(xn),
inference(superposition,[status(thm)],[c_2671,c_67]) ).
tcf(c_3134,plain,
sdtasdt0(sdtpldt0(xk,xm),smndt0(sz10)) = smndt0(sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_67]) ).
tcf(c_3135,plain,
sdtasdt0(sdtpldt0(xl,xn),smndt0(sz10)) = smndt0(sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_67]) ).
tcf(c_3136,plain,
sdtasdt0(sdtasdt0(xz,xk),smndt0(sz10)) = smndt0(sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_67]) ).
tcf(c_3137,plain,
sdtasdt0(sdtasdt0(xz,xl),smndt0(sz10)) = smndt0(sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_67]) ).
tcf(c_3138,plain,
sdtasdt0(xx,smndt0(sz10)) = smndt0(xx),
inference(superposition,[status(thm)],[c_2826,c_67]) ).
tcf(c_3139,plain,
sdtasdt0(xy,smndt0(sz10)) = smndt0(xy),
inference(superposition,[status(thm)],[c_2842,c_67]) ).
tcf(c_3140,plain,
sdtasdt0(iPr_def_12,smndt0(sz10)) = smndt0(iPr_def_12),
inference(superposition,[status(thm)],[c_2900,c_67]) ).
tcf(c_3180,plain,
sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_114,c_1616]) ).
tcf(c_3181,plain,
( aElement0(iPr_def_10)
| ~ aElement0(sdtpldt0(xl,xn))
| ~ aElement0(sdtpldt0(xk,xm)) ),
inference(superposition,[status(thm)],[c_3180,c_52]) ).
tcf(c_3182,plain,
( aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xJ) ),
inference(superposition,[status(thm)],[c_3180,c_954]) ).
tcf(c_3183,plain,
( aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xI)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(superposition,[status(thm)],[c_3180,c_930]) ).
tcf(c_3184,plain,
aElement0(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_3181,c_2677,c_2678]) ).
tcf(c_3185,plain,
( aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3183,c_110]) ).
tcf(c_3188,plain,
( aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3182,c_111]) ).
tcf(c_3191,plain,
sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_115,c_1618]) ).
tcf(c_3193,plain,
( aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xJ) ),
inference(superposition,[status(thm)],[c_3191,c_954]) ).
tcf(c_3194,plain,
( aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xI)
| ~ aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(superposition,[status(thm)],[c_3191,c_930]) ).
tcf(c_3195,plain,
( aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3194,c_112]) ).
tcf(c_3198,plain,
( aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3193,c_113]) ).
tcf(c_3201,plain,
sdtasdt0(iPr_def_10,smndt0(sz10)) = smndt0(iPr_def_10),
inference(superposition,[status(thm)],[c_3184,c_67]) ).
tcf(c_3202,plain,
sdtasdt0(smndt0(sz10),iPr_def_10) = smndt0(iPr_def_10),
inference(superposition,[status(thm)],[c_3184,c_66]) ).
tcf(c_3203,plain,
sdtpldt0(smndt0(iPr_def_10),iPr_def_10) = sz00,
inference(superposition,[status(thm)],[c_3184,c_59]) ).
tcf(c_3204,plain,
sdtpldt0(iPr_def_10,smndt0(iPr_def_10)) = sz00,
inference(superposition,[status(thm)],[c_3184,c_58]) ).
tcf(c_3205,plain,
sdtasdt0(sz00,iPr_def_10) = sz00,
inference(superposition,[status(thm)],[c_3184,c_69]) ).
tcf(c_3206,plain,
sdtasdt0(iPr_def_10,sz00) = sz00,
inference(superposition,[status(thm)],[c_3184,c_68]) ).
tcf(c_3207,plain,
sdtasdt0(sz10,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_3184,c_63]) ).
tcf(c_3208,plain,
sdtasdt0(iPr_def_10,sz10) = iPr_def_10,
inference(superposition,[status(thm)],[c_3184,c_62]) ).
tcf(c_3209,plain,
sdtpldt0(sz00,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_3184,c_57]) ).
tcf(c_3210,plain,
sdtpldt0(iPr_def_10,sz00) = iPr_def_10,
inference(superposition,[status(thm)],[c_3184,c_56]) ).
tcf(c_3256,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_54]) ).
tcf(c_3257,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_54]) ).
tcf(c_3258,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_3259,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_3260,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_3261,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xz) = sdtpldt0(xz,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_103,c_54]) ).
tcf(c_3262,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xk) = sdtpldt0(xk,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2674,c_54]) ).
tcf(c_3263,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2673,c_54]) ).
tcf(c_3264,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2672,c_54]) ).
tcf(c_3265,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2671,c_54]) ).
tcf(c_3266,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,xm),X0) = sdtpldt0(X0,sdtpldt0(xk,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2678,c_54]) ).
tcf(c_3267,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xn),X0) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2677,c_54]) ).
tcf(c_3268,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xz,xk),X0) = sdtpldt0(X0,sdtasdt0(xz,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2676,c_54]) ).
tcf(c_3269,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xz,xl),X0) = sdtpldt0(X0,sdtasdt0(xz,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2675,c_54]) ).
tcf(c_3270,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xx) = sdtpldt0(xx,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2826,c_54]) ).
tcf(c_3271,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xy) = sdtpldt0(xy,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2842,c_54]) ).
tcf(c_3272,plain,
! [X0: $i] :
( ( sdtpldt0(X0,iPr_def_10) = sdtpldt0(iPr_def_10,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3184,c_54]) ).
tcf(c_3273,plain,
! [X0: $i] :
( ( sdtpldt0(X0,iPr_def_12) = sdtpldt0(iPr_def_12,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2900,c_54]) ).
tcf(c_3387,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
tcf(c_3388,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_60]) ).
tcf(c_3389,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_3390,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_3391,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_3392,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xz) = sdtasdt0(xz,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_103,c_60]) ).
tcf(c_3393,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xk) = sdtasdt0(xk,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2674,c_60]) ).
tcf(c_3394,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2673,c_60]) ).
tcf(c_3395,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2672,c_60]) ).
tcf(c_3396,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2671,c_60]) ).
tcf(c_3397,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,xm),X0) = sdtasdt0(X0,sdtpldt0(xk,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2678,c_60]) ).
tcf(c_3398,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xn),X0) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2677,c_60]) ).
tcf(c_3399,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xz,xk),X0) = sdtasdt0(X0,sdtasdt0(xz,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2676,c_60]) ).
tcf(c_3400,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xz,xl),X0) = sdtasdt0(X0,sdtasdt0(xz,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2675,c_60]) ).
tcf(c_3401,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xx) = sdtasdt0(xx,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2826,c_60]) ).
tcf(c_3402,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xy) = sdtasdt0(xy,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2842,c_60]) ).
tcf(c_3403,plain,
! [X0: $i] :
( ( sdtasdt0(X0,iPr_def_10) = sdtasdt0(iPr_def_10,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3184,c_60]) ).
tcf(c_3404,plain,
! [X0: $i] :
( ( sdtasdt0(X0,iPr_def_12) = sdtasdt0(iPr_def_12,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2900,c_60]) ).
tcf(c_3562,plain,
( aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(xn,xI)
| ~ aElementOf0(xl,xI) ),
inference(superposition,[status(thm)],[c_930,c_3185]) ).
tcf(c_3665,plain,
( aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(xk,xJ) ),
inference(superposition,[status(thm)],[c_954,c_3188]) ).
tcf(c_3744,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_3763,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_3764,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_3765,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_3766,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_3767,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_3768,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_3827,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_3828,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_3829,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_3830,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_3831,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_3832,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xz,X0),X1) = sdtpldt0(xz,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_103,c_55]) ).
tcf(c_3833,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xk,X0),X1) = sdtpldt0(xk,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2674,c_55]) ).
tcf(c_3834,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),X1) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2673,c_55]) ).
tcf(c_3835,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),X1) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2672,c_55]) ).
tcf(c_3836,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),X1) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2671,c_55]) ).
tcf(c_3837,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,xm),X0),X1) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2678,c_55]) ).
tcf(c_3838,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),X1) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2677,c_55]) ).
tcf(c_3839,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xz,xk),X0),X1) = sdtpldt0(sdtasdt0(xz,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2676,c_55]) ).
tcf(c_3840,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xz,xl),X0),X1) = sdtpldt0(sdtasdt0(xz,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2675,c_55]) ).
tcf(c_3841,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xx,X0),X1) = sdtpldt0(xx,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2826,c_55]) ).
tcf(c_3842,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xy,X0),X1) = sdtpldt0(xy,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2842,c_55]) ).
tcf(c_3843,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_10,X0),X1) = sdtpldt0(iPr_def_10,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3184,c_55]) ).
tcf(c_3844,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_12,X0),X1) = sdtpldt0(iPr_def_12,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2900,c_55]) ).
tcf(c_3966,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(sz10),xJ) ),
inference(superposition,[status(thm)],[c_2930,c_954]) ).
tcf(c_3967,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(sz10),xI) ),
inference(superposition,[status(thm)],[c_2930,c_930]) ).
tcf(c_3975,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(xz),xJ) ),
inference(superposition,[status(thm)],[c_2934,c_954]) ).
tcf(c_3976,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(xz),xI) ),
inference(superposition,[status(thm)],[c_2934,c_930]) ).
tcf(c_3994,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(xk),xJ) ),
inference(superposition,[status(thm)],[c_2935,c_954]) ).
tcf(c_3995,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(xk),xI) ),
inference(superposition,[status(thm)],[c_2935,c_930]) ).
tcf(c_3996,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(xk),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3995,c_104]) ).
tcf(c_4003,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(xl),xJ) ),
inference(superposition,[status(thm)],[c_2936,c_954]) ).
tcf(c_4004,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(xl),xI) ),
inference(superposition,[status(thm)],[c_2936,c_930]) ).
tcf(c_4008,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(xl),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4003,c_105]) ).
tcf(c_4024,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(smndt0(xm),xJ) ),
inference(superposition,[status(thm)],[c_2937,c_954]) ).
tcf(c_4025,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(smndt0(xm),xI) ),
inference(superposition,[status(thm)],[c_2937,c_930]) ).
tcf(c_4026,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(xm),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4025,c_107]) ).
tcf(c_4033,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(xn,xJ)
| ~ aElementOf0(smndt0(xn),xJ) ),
inference(superposition,[status(thm)],[c_2938,c_954]) ).
tcf(c_4034,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(xn,xI)
| ~ aElementOf0(smndt0(xn),xI) ),
inference(superposition,[status(thm)],[c_2938,c_930]) ).
tcf(c_4038,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(xn),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4033,c_108]) ).
tcf(c_4042,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(xx,xJ)
| ~ aElementOf0(smndt0(xx),xJ) ),
inference(superposition,[status(thm)],[c_2943,c_954]) ).
tcf(c_4043,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(xx,xI)
| ~ aElementOf0(smndt0(xx),xI) ),
inference(superposition,[status(thm)],[c_2943,c_930]) ).
tcf(c_4051,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(xy,xJ)
| ~ aElementOf0(smndt0(xy),xJ) ),
inference(superposition,[status(thm)],[c_2944,c_954]) ).
tcf(c_4052,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(xy,xI)
| ~ aElementOf0(smndt0(xy),xI) ),
inference(superposition,[status(thm)],[c_2944,c_930]) ).
tcf(c_4075,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_4076,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_4077,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_4078,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_4079,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_4080,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xz,X0),X1) = sdtasdt0(xz,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_103,c_61]) ).
tcf(c_4081,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xk,X0),X1) = sdtasdt0(xk,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2674,c_61]) ).
tcf(c_4082,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),X1) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2673,c_61]) ).
tcf(c_4083,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),X1) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2672,c_61]) ).
tcf(c_4084,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),X1) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2671,c_61]) ).
tcf(c_4085,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,xm),X0),X1) = sdtasdt0(sdtpldt0(xk,xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2678,c_61]) ).
tcf(c_4086,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),X1) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2677,c_61]) ).
tcf(c_4087,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xz,xk),X0),X1) = sdtasdt0(sdtasdt0(xz,xk),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2676,c_61]) ).
tcf(c_4088,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xz,xl),X0),X1) = sdtasdt0(sdtasdt0(xz,xl),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2675,c_61]) ).
tcf(c_4089,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xx,X0),X1) = sdtasdt0(xx,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2826,c_61]) ).
tcf(c_4090,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xy,X0),X1) = sdtasdt0(xy,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2842,c_61]) ).
tcf(c_4091,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_10,X0),X1) = sdtasdt0(iPr_def_10,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3184,c_61]) ).
tcf(c_4092,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_12,X0),X1) = sdtasdt0(iPr_def_12,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2900,c_61]) ).
tcf(c_4245,plain,
( ( sz00 = xz )
| ( sz00 = xx )
| ~ aElement0(xz)
| ~ aElement0(xx)
| ( sz00 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1618,c_70]) ).
tcf(c_4286,plain,
( ( sz00 = xz )
| ( sz00 = xx )
| ( sz00 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4245,c_103,c_2826]) ).
tcf(c_4301,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_4322,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_4398,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(smndt0(iPr_def_12),xJ) ),
inference(superposition,[status(thm)],[c_3033,c_954]) ).
tcf(c_4399,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(smndt0(iPr_def_12),xI) ),
inference(superposition,[status(thm)],[c_3033,c_930]) ).
tcf(c_4410,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(smndt0(iPr_def_10),xJ) ),
inference(superposition,[status(thm)],[c_3203,c_954]) ).
tcf(c_4411,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(smndt0(iPr_def_10),xI) ),
inference(superposition,[status(thm)],[c_3203,c_930]) ).
tcf(c_4439,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_4457,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_4458,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_4459,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_4460,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_4461,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_4462,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xz,X0),sdtasdt0(xz,X1)) = sdtasdt0(xz,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_103,c_64]) ).
tcf(c_4463,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xk,X0),sdtasdt0(xk,X1)) = sdtasdt0(xk,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2674,c_64]) ).
tcf(c_4464,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X1)) = sdtasdt0(xl,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2673,c_64]) ).
tcf(c_4465,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,X1)) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2672,c_64]) ).
tcf(c_4466,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,X1)) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2671,c_64]) ).
tcf(c_4467,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,xm),X0),sdtasdt0(sdtpldt0(xk,xm),X1)) = sdtasdt0(sdtpldt0(xk,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2678,c_64]) ).
tcf(c_4468,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(sdtpldt0(xl,xn),X1)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2677,c_64]) ).
tcf(c_4469,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xz,xk),X0),sdtasdt0(sdtasdt0(xz,xk),X1)) = sdtasdt0(sdtasdt0(xz,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2676,c_64]) ).
tcf(c_4470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xz,xl),X0),sdtasdt0(sdtasdt0(xz,xl),X1)) = sdtasdt0(sdtasdt0(xz,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2675,c_64]) ).
tcf(c_4471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xx,X0),sdtasdt0(xx,X1)) = sdtasdt0(xx,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2826,c_64]) ).
tcf(c_4472,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xy,X0),sdtasdt0(xy,X1)) = sdtasdt0(xy,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2842,c_64]) ).
tcf(c_4473,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_10,X0),sdtasdt0(iPr_def_10,X1)) = sdtasdt0(iPr_def_10,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3184,c_64]) ).
tcf(c_4474,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_12,X0),sdtasdt0(iPr_def_12,X1)) = sdtasdt0(iPr_def_12,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2900,c_64]) ).
tcf(c_4587,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_4588,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_4589,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_4590,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_4591,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_4592,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xz),sdtasdt0(X1,xz)) = sdtasdt0(sdtpldt0(X0,X1),xz) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_103,c_65]) ).
tcf(c_4593,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xk),sdtasdt0(X1,xk)) = sdtasdt0(sdtpldt0(X0,X1),xk) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2674,c_65]) ).
tcf(c_4594,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(X1,xl)) = sdtasdt0(sdtpldt0(X0,X1),xl) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2673,c_65]) ).
tcf(c_4595,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X1,xm)) = sdtasdt0(sdtpldt0(X0,X1),xm) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2672,c_65]) ).
tcf(c_4596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn)) = sdtasdt0(sdtpldt0(X0,X1),xn) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2671,c_65]) ).
tcf(c_4597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,xm)),sdtasdt0(X1,sdtpldt0(xk,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2678,c_65]) ).
tcf(c_4598,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sdtasdt0(X1,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xn)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2677,c_65]) ).
tcf(c_4599,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xz,xk)),sdtasdt0(X1,sdtasdt0(xz,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xz,xk)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2676,c_65]) ).
tcf(c_4600,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xz,xl)),sdtasdt0(X1,sdtasdt0(xz,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xz,xl)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2675,c_65]) ).
tcf(c_4601,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X1,xx)) = sdtasdt0(sdtpldt0(X0,X1),xx) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2826,c_65]) ).
tcf(c_4602,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X1,xy)) = sdtasdt0(sdtpldt0(X0,X1),xy) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2842,c_65]) ).
tcf(c_4603,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,iPr_def_10),sdtasdt0(X1,iPr_def_10)) = sdtasdt0(sdtpldt0(X0,X1),iPr_def_10) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_3184,c_65]) ).
tcf(c_4604,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,iPr_def_12),sdtasdt0(X1,iPr_def_12)) = sdtasdt0(sdtpldt0(X0,X1),iPr_def_12) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_2900,c_65]) ).
tcf(c_4750,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_4751,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_4752,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_4753,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_4754,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_4755,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_4756,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_4867,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_4868,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_4869,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_4871,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_4872,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_4873,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_4988,plain,
( aElement0(smndt0(sz00))
| ~ aElement0(sz00)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3071,c_53]) ).
tcf(c_4989,plain,
( aElement0(smndt0(sz00))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4988,c_49]) ).
tcf(c_4992,plain,
aElement0(smndt0(sz00)),
inference(global_subsumption_just,[status(thm)],[c_4989,c_49,c_118]) ).
tcf(c_4994,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(sz00)),sdtasdt0(X1,smndt0(sz00))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz00)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4992,c_65]) ).
tcf(c_4995,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(sz00),X1)) = sdtasdt0(smndt0(sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4992,c_64]) ).
tcf(c_4996,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1) = sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4992,c_61]) ).
tcf(c_4997,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1) = sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4992,c_55]) ).
tcf(c_4998,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4992,c_60]) ).
tcf(c_4999,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(sz00)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_4992,c_54]) ).
tcf(c_5000,plain,
sdtasdt0(smndt0(sz00),smndt0(sz10)) = smndt0(smndt0(sz00)),
inference(superposition,[status(thm)],[c_4992,c_67]) ).
tcf(c_5001,plain,
sdtasdt0(smndt0(sz10),smndt0(sz00)) = smndt0(smndt0(sz00)),
inference(superposition,[status(thm)],[c_4992,c_66]) ).
tcf(c_5002,plain,
sdtpldt0(smndt0(smndt0(sz00)),smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_4992,c_59]) ).
tcf(c_5003,plain,
sdtpldt0(smndt0(sz00),smndt0(smndt0(sz00))) = sz00,
inference(superposition,[status(thm)],[c_4992,c_58]) ).
tcf(c_5004,plain,
sdtasdt0(sz00,smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_4992,c_69]) ).
tcf(c_5005,plain,
sdtasdt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_4992,c_68]) ).
tcf(c_5006,plain,
sdtasdt0(sz10,smndt0(sz00)) = smndt0(sz00),
inference(superposition,[status(thm)],[c_4992,c_63]) ).
tcf(c_5007,plain,
sdtasdt0(smndt0(sz00),sz10) = smndt0(sz00),
inference(superposition,[status(thm)],[c_4992,c_62]) ).
tcf(c_5008,plain,
sdtpldt0(sz00,smndt0(sz00)) = smndt0(sz00),
inference(superposition,[status(thm)],[c_4992,c_57]) ).
tcf(c_5009,plain,
sdtpldt0(smndt0(sz00),sz00) = smndt0(sz00),
inference(superposition,[status(thm)],[c_4992,c_56]) ).
tcf(c_5010,plain,
smndt0(sz00) = sz00,
inference(light_normalisation,[status(thm)],[c_5009,c_2980]) ).
tcf(c_5029,plain,
sdtasdt0(smndt0(sz10),sz00) = sz00,
inference(demodulation,[status(thm)],[c_3071,c_5010]) ).
tcf(c_5051,plain,
( ( sz00 = xz )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xz)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xz) != sz00 ) ),
inference(superposition,[status(thm)],[c_3076,c_70]) ).
tcf(c_5052,plain,
( aElement0(smndt0(xz))
| ~ aElement0(xz)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3076,c_53]) ).
tcf(c_5053,plain,
( aElement0(smndt0(xz))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5052,c_103]) ).
tcf(c_5056,plain,
( ( sz00 = xz )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xz) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5051,c_103]) ).
tcf(c_5065,plain,
( aElement0(smndt0(xz))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5053]) ).
tcf(c_5066,plain,
aElement0(smndt0(xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_5065,c_50]) ).
tcf(c_5067,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xz)),sdtasdt0(X1,smndt0(xz))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xz)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5066,c_65]) ).
tcf(c_5068,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xz),X0),sdtasdt0(smndt0(xz),X1)) = sdtasdt0(smndt0(xz),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5066,c_64]) ).
tcf(c_5069,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xz),X0),X1) = sdtasdt0(smndt0(xz),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5066,c_61]) ).
tcf(c_5070,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xz),X0),X1) = sdtpldt0(smndt0(xz),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5066,c_55]) ).
tcf(c_5071,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xz),X0) = sdtasdt0(X0,smndt0(xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5066,c_60]) ).
tcf(c_5072,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xz),X0) = sdtpldt0(X0,smndt0(xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5066,c_54]) ).
tcf(c_5073,plain,
sdtasdt0(smndt0(xz),smndt0(sz10)) = smndt0(smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_67]) ).
tcf(c_5074,plain,
sdtasdt0(smndt0(sz10),smndt0(xz)) = smndt0(smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_66]) ).
tcf(c_5075,plain,
sdtpldt0(smndt0(smndt0(xz)),smndt0(xz)) = sz00,
inference(superposition,[status(thm)],[c_5066,c_59]) ).
tcf(c_5076,plain,
sdtpldt0(smndt0(xz),smndt0(smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_5066,c_58]) ).
tcf(c_5077,plain,
sdtasdt0(sz00,smndt0(xz)) = sz00,
inference(superposition,[status(thm)],[c_5066,c_69]) ).
tcf(c_5078,plain,
sdtasdt0(smndt0(xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_5066,c_68]) ).
tcf(c_5079,plain,
sdtasdt0(sz10,smndt0(xz)) = smndt0(xz),
inference(superposition,[status(thm)],[c_5066,c_63]) ).
tcf(c_5080,plain,
sdtasdt0(smndt0(xz),sz10) = smndt0(xz),
inference(superposition,[status(thm)],[c_5066,c_62]) ).
tcf(c_5081,plain,
sdtpldt0(sz00,smndt0(xz)) = smndt0(xz),
inference(superposition,[status(thm)],[c_5066,c_57]) ).
tcf(c_5082,plain,
sdtpldt0(smndt0(xz),sz00) = smndt0(xz),
inference(superposition,[status(thm)],[c_5066,c_56]) ).
tcf(c_5151,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_5163,plain,
( ( sz00 = xk )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xk)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_3077,c_70]) ).
tcf(c_5164,plain,
( aElement0(smndt0(xk))
| ~ aElement0(xk)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3077,c_53]) ).
tcf(c_5165,plain,
( aElement0(smndt0(xk))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5164,c_2674]) ).
tcf(c_5168,plain,
( ( sz00 = xk )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5163,c_2674]) ).
tcf(c_5205,plain,
( aElement0(smndt0(xk))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5165]) ).
tcf(c_5206,plain,
aElement0(smndt0(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_5205,c_50]) ).
tcf(c_5207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xk)),sdtasdt0(X1,smndt0(xk))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xk)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5206,c_65]) ).
tcf(c_5208,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xk),X0),sdtasdt0(smndt0(xk),X1)) = sdtasdt0(smndt0(xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5206,c_64]) ).
tcf(c_5209,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xk),X0),X1) = sdtasdt0(smndt0(xk),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5206,c_61]) ).
tcf(c_5210,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xk),X0),X1) = sdtpldt0(smndt0(xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5206,c_55]) ).
tcf(c_5211,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xk),X0) = sdtasdt0(X0,smndt0(xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5206,c_60]) ).
tcf(c_5212,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xk),X0) = sdtpldt0(X0,smndt0(xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5206,c_54]) ).
tcf(c_5213,plain,
sdtasdt0(smndt0(xk),smndt0(sz10)) = smndt0(smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_67]) ).
tcf(c_5214,plain,
sdtasdt0(smndt0(sz10),smndt0(xk)) = smndt0(smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_66]) ).
tcf(c_5215,plain,
sdtpldt0(smndt0(smndt0(xk)),smndt0(xk)) = sz00,
inference(superposition,[status(thm)],[c_5206,c_59]) ).
tcf(c_5216,plain,
sdtpldt0(smndt0(xk),smndt0(smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_5206,c_58]) ).
tcf(c_5217,plain,
sdtasdt0(sz00,smndt0(xk)) = sz00,
inference(superposition,[status(thm)],[c_5206,c_69]) ).
tcf(c_5218,plain,
sdtasdt0(smndt0(xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_5206,c_68]) ).
tcf(c_5219,plain,
sdtasdt0(sz10,smndt0(xk)) = smndt0(xk),
inference(superposition,[status(thm)],[c_5206,c_63]) ).
tcf(c_5220,plain,
sdtasdt0(smndt0(xk),sz10) = smndt0(xk),
inference(superposition,[status(thm)],[c_5206,c_62]) ).
tcf(c_5221,plain,
sdtpldt0(sz00,smndt0(xk)) = smndt0(xk),
inference(superposition,[status(thm)],[c_5206,c_57]) ).
tcf(c_5222,plain,
sdtpldt0(smndt0(xk),sz00) = smndt0(xk),
inference(superposition,[status(thm)],[c_5206,c_56]) ).
tcf(c_5255,plain,
( ( sz00 = xl )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xl)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_3078,c_70]) ).
tcf(c_5256,plain,
( aElement0(smndt0(xl))
| ~ aElement0(xl)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3078,c_53]) ).
tcf(c_5257,plain,
( aElement0(smndt0(xl))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5256,c_2673]) ).
tcf(c_5260,plain,
( ( sz00 = xl )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xl) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5255,c_2673]) ).
tcf(c_5269,plain,
( aElement0(smndt0(xl))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5257]) ).
tcf(c_5270,plain,
aElement0(smndt0(xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_5269,c_50]) ).
tcf(c_5271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xl)),sdtasdt0(X1,smndt0(xl))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xl)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5270,c_65]) ).
tcf(c_5272,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xl),X0),sdtasdt0(smndt0(xl),X1)) = sdtasdt0(smndt0(xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5270,c_64]) ).
tcf(c_5273,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xl),X0),X1) = sdtasdt0(smndt0(xl),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5270,c_61]) ).
tcf(c_5274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xl),X0),X1) = sdtpldt0(smndt0(xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5270,c_55]) ).
tcf(c_5275,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xl),X0) = sdtasdt0(X0,smndt0(xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5270,c_60]) ).
tcf(c_5276,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xl),X0) = sdtpldt0(X0,smndt0(xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5270,c_54]) ).
tcf(c_5277,plain,
sdtasdt0(smndt0(xl),smndt0(sz10)) = smndt0(smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_67]) ).
tcf(c_5278,plain,
sdtasdt0(smndt0(sz10),smndt0(xl)) = smndt0(smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_66]) ).
tcf(c_5279,plain,
sdtpldt0(smndt0(smndt0(xl)),smndt0(xl)) = sz00,
inference(superposition,[status(thm)],[c_5270,c_59]) ).
tcf(c_5280,plain,
sdtpldt0(smndt0(xl),smndt0(smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_5270,c_58]) ).
tcf(c_5281,plain,
sdtasdt0(sz00,smndt0(xl)) = sz00,
inference(superposition,[status(thm)],[c_5270,c_69]) ).
tcf(c_5282,plain,
sdtasdt0(smndt0(xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_5270,c_68]) ).
tcf(c_5283,plain,
sdtasdt0(sz10,smndt0(xl)) = smndt0(xl),
inference(superposition,[status(thm)],[c_5270,c_63]) ).
tcf(c_5284,plain,
sdtasdt0(smndt0(xl),sz10) = smndt0(xl),
inference(superposition,[status(thm)],[c_5270,c_62]) ).
tcf(c_5285,plain,
sdtpldt0(sz00,smndt0(xl)) = smndt0(xl),
inference(superposition,[status(thm)],[c_5270,c_57]) ).
tcf(c_5286,plain,
sdtpldt0(smndt0(xl),sz00) = smndt0(xl),
inference(superposition,[status(thm)],[c_5270,c_56]) ).
tcf(c_5341,plain,
( ( sz00 = xm )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xm)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_3079,c_70]) ).
tcf(c_5342,plain,
( aElement0(smndt0(xm))
| ~ aElement0(xm)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3079,c_53]) ).
tcf(c_5343,plain,
( aElement0(smndt0(xm))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5342,c_2672]) ).
tcf(c_5346,plain,
( ( sz00 = xm )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5341,c_2672]) ).
tcf(c_5355,plain,
( aElement0(smndt0(xm))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5343]) ).
tcf(c_5356,plain,
aElement0(smndt0(xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_5355,c_50]) ).
tcf(c_5357,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xm)),sdtasdt0(X1,smndt0(xm))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5356,c_65]) ).
tcf(c_5358,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xm),X0),sdtasdt0(smndt0(xm),X1)) = sdtasdt0(smndt0(xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5356,c_64]) ).
tcf(c_5359,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xm),X0),X1) = sdtasdt0(smndt0(xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5356,c_61]) ).
tcf(c_5360,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xm),X0),X1) = sdtpldt0(smndt0(xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5356,c_55]) ).
tcf(c_5361,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xm),X0) = sdtasdt0(X0,smndt0(xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5356,c_60]) ).
tcf(c_5362,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xm),X0) = sdtpldt0(X0,smndt0(xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5356,c_54]) ).
tcf(c_5363,plain,
sdtasdt0(smndt0(xm),smndt0(sz10)) = smndt0(smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_67]) ).
tcf(c_5364,plain,
sdtasdt0(smndt0(sz10),smndt0(xm)) = smndt0(smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_66]) ).
tcf(c_5365,plain,
sdtpldt0(smndt0(smndt0(xm)),smndt0(xm)) = sz00,
inference(superposition,[status(thm)],[c_5356,c_59]) ).
tcf(c_5366,plain,
sdtpldt0(smndt0(xm),smndt0(smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_5356,c_58]) ).
tcf(c_5367,plain,
sdtasdt0(sz00,smndt0(xm)) = sz00,
inference(superposition,[status(thm)],[c_5356,c_69]) ).
tcf(c_5368,plain,
sdtasdt0(smndt0(xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_5356,c_68]) ).
tcf(c_5369,plain,
sdtasdt0(sz10,smndt0(xm)) = smndt0(xm),
inference(superposition,[status(thm)],[c_5356,c_63]) ).
tcf(c_5370,plain,
sdtasdt0(smndt0(xm),sz10) = smndt0(xm),
inference(superposition,[status(thm)],[c_5356,c_62]) ).
tcf(c_5371,plain,
sdtpldt0(sz00,smndt0(xm)) = smndt0(xm),
inference(superposition,[status(thm)],[c_5356,c_57]) ).
tcf(c_5372,plain,
sdtpldt0(smndt0(xm),sz00) = smndt0(xm),
inference(superposition,[status(thm)],[c_5356,c_56]) ).
tcf(c_5430,plain,
( ( sz00 = xn )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xn)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_3080,c_70]) ).
tcf(c_5431,plain,
( aElement0(smndt0(xn))
| ~ aElement0(xn)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3080,c_53]) ).
tcf(c_5432,plain,
( aElement0(smndt0(xn))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5431,c_2671]) ).
tcf(c_5435,plain,
( ( sz00 = xn )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5430,c_2671]) ).
tcf(c_5444,plain,
( aElement0(smndt0(xn))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5432]) ).
tcf(c_5445,plain,
aElement0(smndt0(xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_5444,c_50]) ).
tcf(c_5446,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xn)),sdtasdt0(X1,smndt0(xn))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xn)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5445,c_65]) ).
tcf(c_5447,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xn),X0),sdtasdt0(smndt0(xn),X1)) = sdtasdt0(smndt0(xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5445,c_64]) ).
tcf(c_5448,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xn),X0),X1) = sdtasdt0(smndt0(xn),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5445,c_61]) ).
tcf(c_5449,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xn),X0),X1) = sdtpldt0(smndt0(xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5445,c_55]) ).
tcf(c_5450,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xn),X0) = sdtasdt0(X0,smndt0(xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5445,c_60]) ).
tcf(c_5451,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xn),X0) = sdtpldt0(X0,smndt0(xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5445,c_54]) ).
tcf(c_5452,plain,
sdtasdt0(smndt0(xn),smndt0(sz10)) = smndt0(smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_67]) ).
tcf(c_5453,plain,
sdtasdt0(smndt0(sz10),smndt0(xn)) = smndt0(smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_66]) ).
tcf(c_5454,plain,
sdtpldt0(smndt0(smndt0(xn)),smndt0(xn)) = sz00,
inference(superposition,[status(thm)],[c_5445,c_59]) ).
tcf(c_5455,plain,
sdtpldt0(smndt0(xn),smndt0(smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_5445,c_58]) ).
tcf(c_5456,plain,
sdtasdt0(sz00,smndt0(xn)) = sz00,
inference(superposition,[status(thm)],[c_5445,c_69]) ).
tcf(c_5457,plain,
sdtasdt0(smndt0(xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_5445,c_68]) ).
tcf(c_5458,plain,
sdtasdt0(sz10,smndt0(xn)) = smndt0(xn),
inference(superposition,[status(thm)],[c_5445,c_63]) ).
tcf(c_5459,plain,
sdtasdt0(smndt0(xn),sz10) = smndt0(xn),
inference(superposition,[status(thm)],[c_5445,c_62]) ).
tcf(c_5460,plain,
sdtpldt0(sz00,smndt0(xn)) = smndt0(xn),
inference(superposition,[status(thm)],[c_5445,c_57]) ).
tcf(c_5461,plain,
sdtpldt0(smndt0(xn),sz00) = smndt0(xn),
inference(superposition,[status(thm)],[c_5445,c_56]) ).
tcf(c_5513,plain,
( ( sz00 = xx )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xx)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xx) != sz00 ) ),
inference(superposition,[status(thm)],[c_3085,c_70]) ).
tcf(c_5514,plain,
( aElement0(smndt0(xx))
| ~ aElement0(xx)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3085,c_53]) ).
tcf(c_5515,plain,
( aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5514,c_2826]) ).
tcf(c_5518,plain,
( ( sz00 = xx )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xx) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5513,c_2826]) ).
tcf(c_5527,plain,
( aElement0(smndt0(xx))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5515]) ).
tcf(c_5528,plain,
aElement0(smndt0(xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_5527,c_50]) ).
tcf(c_5529,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xx)),sdtasdt0(X1,smndt0(xx))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xx)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5528,c_65]) ).
tcf(c_5530,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xx),X0),sdtasdt0(smndt0(xx),X1)) = sdtasdt0(smndt0(xx),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5528,c_64]) ).
tcf(c_5531,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xx),X0),X1) = sdtasdt0(smndt0(xx),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5528,c_61]) ).
tcf(c_5532,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xx),X0),X1) = sdtpldt0(smndt0(xx),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5528,c_55]) ).
tcf(c_5533,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xx),X0) = sdtasdt0(X0,smndt0(xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5528,c_60]) ).
tcf(c_5534,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xx),X0) = sdtpldt0(X0,smndt0(xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5528,c_54]) ).
tcf(c_5535,plain,
sdtasdt0(smndt0(xx),smndt0(sz10)) = smndt0(smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_67]) ).
tcf(c_5536,plain,
sdtasdt0(smndt0(sz10),smndt0(xx)) = smndt0(smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_66]) ).
tcf(c_5537,plain,
sdtpldt0(smndt0(smndt0(xx)),smndt0(xx)) = sz00,
inference(superposition,[status(thm)],[c_5528,c_59]) ).
tcf(c_5538,plain,
sdtpldt0(smndt0(xx),smndt0(smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_5528,c_58]) ).
tcf(c_5539,plain,
sdtasdt0(sz00,smndt0(xx)) = sz00,
inference(superposition,[status(thm)],[c_5528,c_69]) ).
tcf(c_5540,plain,
sdtasdt0(smndt0(xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_5528,c_68]) ).
tcf(c_5541,plain,
sdtasdt0(sz10,smndt0(xx)) = smndt0(xx),
inference(superposition,[status(thm)],[c_5528,c_63]) ).
tcf(c_5542,plain,
sdtasdt0(smndt0(xx),sz10) = smndt0(xx),
inference(superposition,[status(thm)],[c_5528,c_62]) ).
tcf(c_5543,plain,
sdtpldt0(sz00,smndt0(xx)) = smndt0(xx),
inference(superposition,[status(thm)],[c_5528,c_57]) ).
tcf(c_5544,plain,
sdtpldt0(smndt0(xx),sz00) = smndt0(xx),
inference(superposition,[status(thm)],[c_5528,c_56]) ).
tcf(c_5583,plain,
( ( sz00 = xy )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(xy)
| ~ aElement0(smndt0(sz10))
| ( smndt0(xy) != sz00 ) ),
inference(superposition,[status(thm)],[c_3086,c_70]) ).
tcf(c_5584,plain,
( aElement0(smndt0(xy))
| ~ aElement0(xy)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3086,c_53]) ).
tcf(c_5585,plain,
( aElement0(smndt0(xy))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5584,c_2842]) ).
tcf(c_5588,plain,
( ( sz00 = xy )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(xy) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5583,c_2842]) ).
tcf(c_5603,plain,
( aElement0(smndt0(xy))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5585]) ).
tcf(c_5604,plain,
aElement0(smndt0(xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_5603,c_50]) ).
tcf(c_5605,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(xy)),sdtasdt0(X1,smndt0(xy))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(xy)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5604,c_65]) ).
tcf(c_5606,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(xy),X0),sdtasdt0(smndt0(xy),X1)) = sdtasdt0(smndt0(xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5604,c_64]) ).
tcf(c_5607,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(xy),X0),X1) = sdtasdt0(smndt0(xy),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5604,c_61]) ).
tcf(c_5608,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(xy),X0),X1) = sdtpldt0(smndt0(xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5604,c_55]) ).
tcf(c_5609,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xy),X0) = sdtasdt0(X0,smndt0(xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5604,c_60]) ).
tcf(c_5610,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(xy),X0) = sdtpldt0(X0,smndt0(xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5604,c_54]) ).
tcf(c_5611,plain,
sdtasdt0(smndt0(xy),smndt0(sz10)) = smndt0(smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_67]) ).
tcf(c_5612,plain,
sdtasdt0(smndt0(sz10),smndt0(xy)) = smndt0(smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_66]) ).
tcf(c_5613,plain,
sdtpldt0(smndt0(smndt0(xy)),smndt0(xy)) = sz00,
inference(superposition,[status(thm)],[c_5604,c_59]) ).
tcf(c_5614,plain,
sdtpldt0(smndt0(xy),smndt0(smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_5604,c_58]) ).
tcf(c_5615,plain,
sdtasdt0(sz00,smndt0(xy)) = sz00,
inference(superposition,[status(thm)],[c_5604,c_69]) ).
tcf(c_5616,plain,
sdtasdt0(smndt0(xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_5604,c_68]) ).
tcf(c_5617,plain,
sdtasdt0(sz10,smndt0(xy)) = smndt0(xy),
inference(superposition,[status(thm)],[c_5604,c_63]) ).
tcf(c_5618,plain,
sdtasdt0(smndt0(xy),sz10) = smndt0(xy),
inference(superposition,[status(thm)],[c_5604,c_62]) ).
tcf(c_5619,plain,
sdtpldt0(sz00,smndt0(xy)) = smndt0(xy),
inference(superposition,[status(thm)],[c_5604,c_57]) ).
tcf(c_5620,plain,
sdtpldt0(smndt0(xy),sz00) = smndt0(xy),
inference(superposition,[status(thm)],[c_5604,c_56]) ).
tcf(c_5655,plain,
( ( sz00 = iPr_def_12 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(iPr_def_12)
| ~ aElement0(smndt0(sz10))
| ( smndt0(iPr_def_12) != sz00 ) ),
inference(superposition,[status(thm)],[c_3087,c_70]) ).
tcf(c_5656,plain,
( aElement0(smndt0(iPr_def_12))
| ~ aElement0(iPr_def_12)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3087,c_53]) ).
tcf(c_5657,plain,
( aElement0(smndt0(iPr_def_12))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5656,c_2900]) ).
tcf(c_5660,plain,
( ( sz00 = iPr_def_12 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(iPr_def_12) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5655,c_2900]) ).
tcf(c_5679,plain,
( aElement0(smndt0(iPr_def_12))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5657]) ).
tcf(c_5680,plain,
aElement0(smndt0(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_5679,c_50]) ).
tcf(c_5681,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(iPr_def_12)),sdtasdt0(X1,smndt0(iPr_def_12))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(iPr_def_12)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5680,c_65]) ).
tcf(c_5682,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(iPr_def_12),X0),sdtasdt0(smndt0(iPr_def_12),X1)) = sdtasdt0(smndt0(iPr_def_12),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5680,c_64]) ).
tcf(c_5683,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(iPr_def_12),X0),X1) = sdtasdt0(smndt0(iPr_def_12),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5680,c_61]) ).
tcf(c_5684,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(iPr_def_12),X0),X1) = sdtpldt0(smndt0(iPr_def_12),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5680,c_55]) ).
tcf(c_5685,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_12),X0) = sdtasdt0(X0,smndt0(iPr_def_12)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5680,c_60]) ).
tcf(c_5686,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(iPr_def_12),X0) = sdtpldt0(X0,smndt0(iPr_def_12)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5680,c_54]) ).
tcf(c_5687,plain,
sdtasdt0(smndt0(iPr_def_12),smndt0(sz10)) = smndt0(smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_67]) ).
tcf(c_5688,plain,
sdtasdt0(smndt0(sz10),smndt0(iPr_def_12)) = smndt0(smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_66]) ).
tcf(c_5689,plain,
sdtpldt0(smndt0(smndt0(iPr_def_12)),smndt0(iPr_def_12)) = sz00,
inference(superposition,[status(thm)],[c_5680,c_59]) ).
tcf(c_5690,plain,
sdtpldt0(smndt0(iPr_def_12),smndt0(smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_5680,c_58]) ).
tcf(c_5691,plain,
sdtasdt0(sz00,smndt0(iPr_def_12)) = sz00,
inference(superposition,[status(thm)],[c_5680,c_69]) ).
tcf(c_5692,plain,
sdtasdt0(smndt0(iPr_def_12),sz00) = sz00,
inference(superposition,[status(thm)],[c_5680,c_68]) ).
tcf(c_5693,plain,
sdtasdt0(sz10,smndt0(iPr_def_12)) = smndt0(iPr_def_12),
inference(superposition,[status(thm)],[c_5680,c_63]) ).
tcf(c_5694,plain,
sdtasdt0(smndt0(iPr_def_12),sz10) = smndt0(iPr_def_12),
inference(superposition,[status(thm)],[c_5680,c_62]) ).
tcf(c_5695,plain,
sdtpldt0(sz00,smndt0(iPr_def_12)) = smndt0(iPr_def_12),
inference(superposition,[status(thm)],[c_5680,c_57]) ).
tcf(c_5696,plain,
sdtpldt0(smndt0(iPr_def_12),sz00) = smndt0(iPr_def_12),
inference(superposition,[status(thm)],[c_5680,c_56]) ).
tcf(c_5760,plain,
sdtasdt0(sz00,smndt0(sz10)) = sz00,
inference(light_normalisation,[status(thm)],[c_3124,c_5010]) ).
tcf(c_5781,plain,
( ( sz00 = iPr_def_10 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(iPr_def_10)
| ~ aElement0(smndt0(sz10))
| ( smndt0(iPr_def_10) != sz00 ) ),
inference(superposition,[status(thm)],[c_3201,c_70]) ).
tcf(c_5782,plain,
( aElement0(smndt0(iPr_def_10))
| ~ aElement0(iPr_def_10)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_3201,c_53]) ).
tcf(c_5783,plain,
( aElement0(smndt0(iPr_def_10))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5782,c_3184]) ).
tcf(c_5786,plain,
( ( sz00 = iPr_def_10 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(iPr_def_10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5781,c_3184]) ).
tcf(c_5795,plain,
( aElement0(smndt0(iPr_def_10))
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_51,c_5783]) ).
tcf(c_5796,plain,
aElement0(smndt0(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_5795,c_50]) ).
tcf(c_5803,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(iPr_def_10)),sdtasdt0(X1,smndt0(iPr_def_10))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(iPr_def_10)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5796,c_65]) ).
tcf(c_5804,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(iPr_def_10),X0),sdtasdt0(smndt0(iPr_def_10),X1)) = sdtasdt0(smndt0(iPr_def_10),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5796,c_64]) ).
tcf(c_5805,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(iPr_def_10),X0),X1) = sdtasdt0(smndt0(iPr_def_10),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5796,c_61]) ).
tcf(c_5806,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(iPr_def_10),X0),X1) = sdtpldt0(smndt0(iPr_def_10),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5796,c_55]) ).
tcf(c_5807,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_10),X0) = sdtasdt0(X0,smndt0(iPr_def_10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5796,c_60]) ).
tcf(c_5808,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(iPr_def_10),X0) = sdtpldt0(X0,smndt0(iPr_def_10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5796,c_54]) ).
tcf(c_5809,plain,
sdtasdt0(smndt0(iPr_def_10),smndt0(sz10)) = smndt0(smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_67]) ).
tcf(c_5810,plain,
sdtasdt0(smndt0(sz10),smndt0(iPr_def_10)) = smndt0(smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_66]) ).
tcf(c_5811,plain,
sdtpldt0(smndt0(smndt0(iPr_def_10)),smndt0(iPr_def_10)) = sz00,
inference(superposition,[status(thm)],[c_5796,c_59]) ).
tcf(c_5812,plain,
sdtpldt0(smndt0(iPr_def_10),smndt0(smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_5796,c_58]) ).
tcf(c_5813,plain,
sdtasdt0(sz00,smndt0(iPr_def_10)) = sz00,
inference(superposition,[status(thm)],[c_5796,c_69]) ).
tcf(c_5814,plain,
sdtasdt0(smndt0(iPr_def_10),sz00) = sz00,
inference(superposition,[status(thm)],[c_5796,c_68]) ).
tcf(c_5815,plain,
sdtasdt0(sz10,smndt0(iPr_def_10)) = smndt0(iPr_def_10),
inference(superposition,[status(thm)],[c_5796,c_63]) ).
tcf(c_5816,plain,
sdtasdt0(smndt0(iPr_def_10),sz10) = smndt0(iPr_def_10),
inference(superposition,[status(thm)],[c_5796,c_62]) ).
tcf(c_5817,plain,
sdtpldt0(sz00,smndt0(iPr_def_10)) = smndt0(iPr_def_10),
inference(superposition,[status(thm)],[c_5796,c_57]) ).
tcf(c_5818,plain,
sdtpldt0(smndt0(iPr_def_10),sz00) = smndt0(iPr_def_10),
inference(superposition,[status(thm)],[c_5796,c_56]) ).
tcf(c_6009,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(xz),xJ)
| ~ aElementOf0(smndt0(smndt0(xz)),xJ) ),
inference(superposition,[status(thm)],[c_5075,c_954]) ).
tcf(c_6010,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(xz),xI)
| ~ aElementOf0(smndt0(smndt0(xz)),xI) ),
inference(superposition,[status(thm)],[c_5075,c_930]) ).
tcf(c_6036,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(xk),xJ)
| ~ aElementOf0(smndt0(smndt0(xk)),xJ) ),
inference(superposition,[status(thm)],[c_5215,c_954]) ).
tcf(c_6061,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(xl),xI)
| ~ aElementOf0(smndt0(smndt0(xl)),xI) ),
inference(superposition,[status(thm)],[c_5279,c_930]) ).
tcf(c_6084,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(xm),xJ)
| ~ aElementOf0(smndt0(smndt0(xm)),xJ) ),
inference(superposition,[status(thm)],[c_5365,c_954]) ).
tcf(c_6109,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(xn),xI)
| ~ aElementOf0(smndt0(smndt0(xn)),xI) ),
inference(superposition,[status(thm)],[c_5454,c_930]) ).
tcf(c_6132,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(xx),xJ)
| ~ aElementOf0(smndt0(smndt0(xx)),xJ) ),
inference(superposition,[status(thm)],[c_5537,c_954]) ).
tcf(c_6133,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(xx),xI)
| ~ aElementOf0(smndt0(smndt0(xx)),xI) ),
inference(superposition,[status(thm)],[c_5537,c_930]) ).
tcf(c_6159,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(xy),xJ)
| ~ aElementOf0(smndt0(smndt0(xy)),xJ) ),
inference(superposition,[status(thm)],[c_5613,c_954]) ).
tcf(c_6160,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(xy),xI)
| ~ aElementOf0(smndt0(smndt0(xy)),xI) ),
inference(superposition,[status(thm)],[c_5613,c_930]) ).
tcf(c_6192,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(iPr_def_12),xJ)
| ~ aElementOf0(smndt0(smndt0(iPr_def_12)),xJ) ),
inference(superposition,[status(thm)],[c_5689,c_954]) ).
tcf(c_6193,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(iPr_def_12),xI)
| ~ aElementOf0(smndt0(smndt0(iPr_def_12)),xI) ),
inference(superposition,[status(thm)],[c_5689,c_930]) ).
tcf(c_6250,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(iPr_def_10),xJ)
| ~ aElementOf0(smndt0(smndt0(iPr_def_10)),xJ) ),
inference(superposition,[status(thm)],[c_5811,c_954]) ).
tcf(c_6251,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(iPr_def_10),xI)
| ~ aElementOf0(smndt0(smndt0(iPr_def_10)),xI) ),
inference(superposition,[status(thm)],[c_5811,c_930]) ).
tcf(c_6282,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),sz00) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_2633]) ).
tcf(c_6283,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2633]) ).
tcf(c_6284,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2633]) ).
tcf(c_6290,plain,
sdtasdt0(smndt0(sdtpldt0(xk,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2678,c_2633]) ).
tcf(c_6291,plain,
sdtasdt0(smndt0(sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2677,c_2633]) ).
tcf(c_6292,plain,
sdtasdt0(smndt0(sdtasdt0(xz,xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2676,c_2633]) ).
tcf(c_6293,plain,
sdtasdt0(smndt0(sdtasdt0(xz,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2675,c_2633]) ).
tcf(c_6298,plain,
sdtasdt0(smndt0(smndt0(xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5066,c_2633]) ).
tcf(c_6299,plain,
sdtasdt0(smndt0(smndt0(xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5206,c_2633]) ).
tcf(c_6300,plain,
sdtasdt0(smndt0(smndt0(xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5270,c_2633]) ).
tcf(c_6301,plain,
sdtasdt0(smndt0(smndt0(xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5356,c_2633]) ).
tcf(c_6302,plain,
sdtasdt0(smndt0(smndt0(xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5445,c_2633]) ).
tcf(c_6303,plain,
sdtasdt0(smndt0(smndt0(xx)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5528,c_2633]) ).
tcf(c_6304,plain,
sdtasdt0(smndt0(smndt0(xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5604,c_2633]) ).
tcf(c_6305,plain,
sdtasdt0(smndt0(smndt0(iPr_def_12)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5680,c_2633]) ).
tcf(c_6306,plain,
sdtasdt0(smndt0(smndt0(iPr_def_10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5796,c_2633]) ).
tcf(c_6332,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(X0))) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_2644]) ).
tcf(c_6333,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2644]) ).
tcf(c_6334,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1))) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2644]) ).
tcf(c_6340,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,xm))) = sz00,
inference(superposition,[status(thm)],[c_2678,c_2644]) ).
tcf(c_6341,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2677,c_2644]) ).
tcf(c_6342,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xz,xk))) = sz00,
inference(superposition,[status(thm)],[c_2676,c_2644]) ).
tcf(c_6343,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xz,xl))) = sz00,
inference(superposition,[status(thm)],[c_2675,c_2644]) ).
tcf(c_6348,plain,
sdtasdt0(sz00,smndt0(smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_5066,c_2644]) ).
tcf(c_6349,plain,
sdtasdt0(sz00,smndt0(smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_5206,c_2644]) ).
tcf(c_6350,plain,
sdtasdt0(sz00,smndt0(smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_5270,c_2644]) ).
tcf(c_6351,plain,
sdtasdt0(sz00,smndt0(smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_5356,c_2644]) ).
tcf(c_6352,plain,
sdtasdt0(sz00,smndt0(smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_5445,c_2644]) ).
tcf(c_6353,plain,
sdtasdt0(sz00,smndt0(smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_5528,c_2644]) ).
tcf(c_6354,plain,
sdtasdt0(sz00,smndt0(smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_5604,c_2644]) ).
tcf(c_6355,plain,
sdtasdt0(sz00,smndt0(smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_5680,c_2644]) ).
tcf(c_6356,plain,
sdtasdt0(sz00,smndt0(smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_5796,c_2644]) ).
tcf(c_6565,plain,
( ( smndt0(xz) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(xz))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xz)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5073,c_70]) ).
tcf(c_6566,plain,
( aElement0(smndt0(smndt0(xz)))
| ~ aElement0(smndt0(xz))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5073,c_53]) ).
tcf(c_6567,plain,
( aElement0(smndt0(smndt0(xz)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6566,c_5066]) ).
tcf(c_6570,plain,
( ( smndt0(xz) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xz)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6565,c_5066]) ).
tcf(c_6579,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(xz)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_2644]) ).
tcf(c_6580,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xz))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_2633]) ).
tcf(c_6581,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(xz))),sdtasdt0(X1,smndt0(smndt0(xz)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_65]) ).
tcf(c_6582,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xz)),X0),sdtasdt0(smndt0(smndt0(xz)),X1)) = sdtasdt0(smndt0(smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_64]) ).
tcf(c_6583,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xz)),X0),X1) = sdtasdt0(smndt0(smndt0(xz)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_61]) ).
tcf(c_6584,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xz)),X0),X1) = sdtpldt0(smndt0(smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_55]) ).
tcf(c_6585,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xz)),X0) = sdtasdt0(X0,smndt0(smndt0(xz))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_60]) ).
tcf(c_6586,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(xz)),X0) = sdtpldt0(X0,smndt0(smndt0(xz))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_54]) ).
tcf(c_6587,plain,
( ( sdtasdt0(smndt0(smndt0(xz)),smndt0(sz10)) = smndt0(smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_67]) ).
tcf(c_6588,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(xz))) = smndt0(smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_66]) ).
tcf(c_6589,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xz))),smndt0(smndt0(xz))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_59]) ).
tcf(c_6590,plain,
( ( sdtpldt0(smndt0(smndt0(xz)),smndt0(smndt0(smndt0(xz)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_58]) ).
tcf(c_6593,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(xz))) = smndt0(smndt0(xz)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_63]) ).
tcf(c_6594,plain,
( ( sdtasdt0(smndt0(smndt0(xz)),sz10) = smndt0(smndt0(xz)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_62]) ).
tcf(c_6595,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(xz))) = smndt0(smndt0(xz)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_57]) ).
tcf(c_6596,plain,
( ( sdtpldt0(smndt0(smndt0(xz)),sz00) = smndt0(smndt0(xz)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_56]) ).
tcf(c_6680,plain,
( ( smndt0(xk) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(xk))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5213,c_70]) ).
tcf(c_6681,plain,
( aElement0(smndt0(smndt0(xk)))
| ~ aElement0(smndt0(xk))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5213,c_53]) ).
tcf(c_6682,plain,
( aElement0(smndt0(smndt0(xk)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6681,c_5206]) ).
tcf(c_6685,plain,
( ( smndt0(xk) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6680,c_5206]) ).
tcf(c_6694,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(xk)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_2644]) ).
tcf(c_6695,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xk))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_2633]) ).
tcf(c_6696,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(xk))),sdtasdt0(X1,smndt0(smndt0(xk)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(xk))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_65]) ).
tcf(c_6697,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xk)),X0),sdtasdt0(smndt0(smndt0(xk)),X1)) = sdtasdt0(smndt0(smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_64]) ).
tcf(c_6698,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xk)),X0),X1) = sdtasdt0(smndt0(smndt0(xk)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_61]) ).
tcf(c_6699,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xk)),X0),X1) = sdtpldt0(smndt0(smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_55]) ).
tcf(c_6700,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xk)),X0) = sdtasdt0(X0,smndt0(smndt0(xk))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_60]) ).
tcf(c_6701,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(xk)),X0) = sdtpldt0(X0,smndt0(smndt0(xk))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_54]) ).
tcf(c_6702,plain,
( ( sdtasdt0(smndt0(smndt0(xk)),smndt0(sz10)) = smndt0(smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_67]) ).
tcf(c_6703,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(xk))) = smndt0(smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_66]) ).
tcf(c_6704,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xk))),smndt0(smndt0(xk))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_59]) ).
tcf(c_6705,plain,
( ( sdtpldt0(smndt0(smndt0(xk)),smndt0(smndt0(smndt0(xk)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_58]) ).
tcf(c_6708,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(xk))) = smndt0(smndt0(xk)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_63]) ).
tcf(c_6709,plain,
( ( sdtasdt0(smndt0(smndt0(xk)),sz10) = smndt0(smndt0(xk)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_62]) ).
tcf(c_6710,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(xk))) = smndt0(smndt0(xk)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_57]) ).
tcf(c_6711,plain,
( ( sdtpldt0(smndt0(smndt0(xk)),sz00) = smndt0(smndt0(xk)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_56]) ).
tcf(c_6787,plain,
( ( smndt0(xl) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(xl))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5277,c_70]) ).
tcf(c_6788,plain,
( aElement0(smndt0(smndt0(xl)))
| ~ aElement0(smndt0(xl))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5277,c_53]) ).
tcf(c_6789,plain,
( aElement0(smndt0(smndt0(xl)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6788,c_5270]) ).
tcf(c_6792,plain,
( ( smndt0(xl) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xl)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6787,c_5270]) ).
tcf(c_6801,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(xl)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_2644]) ).
tcf(c_6802,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xl))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_2633]) ).
tcf(c_6803,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(xl))),sdtasdt0(X1,smndt0(smndt0(xl)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(xl))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_65]) ).
tcf(c_6804,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xl)),X0),sdtasdt0(smndt0(smndt0(xl)),X1)) = sdtasdt0(smndt0(smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_64]) ).
tcf(c_6805,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xl)),X0),X1) = sdtasdt0(smndt0(smndt0(xl)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_61]) ).
tcf(c_6806,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xl)),X0),X1) = sdtpldt0(smndt0(smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_55]) ).
tcf(c_6807,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xl)),X0) = sdtasdt0(X0,smndt0(smndt0(xl))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_60]) ).
tcf(c_6808,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(xl)),X0) = sdtpldt0(X0,smndt0(smndt0(xl))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_54]) ).
tcf(c_6809,plain,
( ( sdtasdt0(smndt0(smndt0(xl)),smndt0(sz10)) = smndt0(smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_67]) ).
tcf(c_6810,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(xl))) = smndt0(smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_66]) ).
tcf(c_6811,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xl))),smndt0(smndt0(xl))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_59]) ).
tcf(c_6812,plain,
( ( sdtpldt0(smndt0(smndt0(xl)),smndt0(smndt0(smndt0(xl)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_58]) ).
tcf(c_6815,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(xl))) = smndt0(smndt0(xl)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_63]) ).
tcf(c_6816,plain,
( ( sdtasdt0(smndt0(smndt0(xl)),sz10) = smndt0(smndt0(xl)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_62]) ).
tcf(c_6817,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(xl))) = smndt0(smndt0(xl)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_57]) ).
tcf(c_6818,plain,
( ( sdtpldt0(smndt0(smndt0(xl)),sz00) = smndt0(smndt0(xl)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_56]) ).
tcf(c_6930,plain,
( ( smndt0(xm) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(xm))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5363,c_70]) ).
tcf(c_6931,plain,
( aElement0(smndt0(smndt0(xm)))
| ~ aElement0(smndt0(xm))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5363,c_53]) ).
tcf(c_6932,plain,
( aElement0(smndt0(smndt0(xm)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6931,c_5356]) ).
tcf(c_6935,plain,
( ( smndt0(xm) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6930,c_5356]) ).
tcf(c_6944,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(xm)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_2644]) ).
tcf(c_6945,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xm))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_2633]) ).
tcf(c_6946,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(xm))),sdtasdt0(X1,smndt0(smndt0(xm)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(xm))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_65]) ).
tcf(c_6947,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xm)),X0),sdtasdt0(smndt0(smndt0(xm)),X1)) = sdtasdt0(smndt0(smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_64]) ).
tcf(c_6948,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xm)),X0),X1) = sdtasdt0(smndt0(smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_61]) ).
tcf(c_6949,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xm)),X0),X1) = sdtpldt0(smndt0(smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_55]) ).
tcf(c_6950,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xm)),X0) = sdtasdt0(X0,smndt0(smndt0(xm))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_60]) ).
tcf(c_6951,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(xm)),X0) = sdtpldt0(X0,smndt0(smndt0(xm))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_54]) ).
tcf(c_6952,plain,
( ( sdtasdt0(smndt0(smndt0(xm)),smndt0(sz10)) = smndt0(smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_67]) ).
tcf(c_6953,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(xm))) = smndt0(smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_66]) ).
tcf(c_6954,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xm))),smndt0(smndt0(xm))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_59]) ).
tcf(c_6955,plain,
( ( sdtpldt0(smndt0(smndt0(xm)),smndt0(smndt0(smndt0(xm)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_58]) ).
tcf(c_6958,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(xm))) = smndt0(smndt0(xm)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_63]) ).
tcf(c_6959,plain,
( ( sdtasdt0(smndt0(smndt0(xm)),sz10) = smndt0(smndt0(xm)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_62]) ).
tcf(c_6960,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(xm))) = smndt0(smndt0(xm)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_57]) ).
tcf(c_6961,plain,
( ( sdtpldt0(smndt0(smndt0(xm)),sz00) = smndt0(smndt0(xm)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_56]) ).
tcf(c_7100,plain,
( ( smndt0(xn) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(xn))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5452,c_70]) ).
tcf(c_7101,plain,
( aElement0(smndt0(smndt0(xn)))
| ~ aElement0(smndt0(xn))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5452,c_53]) ).
tcf(c_7102,plain,
( aElement0(smndt0(smndt0(xn)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7101,c_5445]) ).
tcf(c_7105,plain,
( ( smndt0(xn) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7100,c_5445]) ).
tcf(c_7118,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(xn)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_2644]) ).
tcf(c_7119,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xn))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_2633]) ).
tcf(c_7120,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(xn))),sdtasdt0(X1,smndt0(smndt0(xn)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(xn))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_65]) ).
tcf(c_7121,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xn)),X0),sdtasdt0(smndt0(smndt0(xn)),X1)) = sdtasdt0(smndt0(smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_64]) ).
tcf(c_7122,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xn)),X0),X1) = sdtasdt0(smndt0(smndt0(xn)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_61]) ).
tcf(c_7123,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xn)),X0),X1) = sdtpldt0(smndt0(smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_55]) ).
tcf(c_7124,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xn)),X0) = sdtasdt0(X0,smndt0(smndt0(xn))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_60]) ).
tcf(c_7125,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(xn)),X0) = sdtpldt0(X0,smndt0(smndt0(xn))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_54]) ).
tcf(c_7126,plain,
( ( sdtasdt0(smndt0(smndt0(xn)),smndt0(sz10)) = smndt0(smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_67]) ).
tcf(c_7127,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(xn))) = smndt0(smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_66]) ).
tcf(c_7128,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xn))),smndt0(smndt0(xn))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_59]) ).
tcf(c_7129,plain,
( ( sdtpldt0(smndt0(smndt0(xn)),smndt0(smndt0(smndt0(xn)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_58]) ).
tcf(c_7132,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(xn))) = smndt0(smndt0(xn)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_63]) ).
tcf(c_7133,plain,
( ( sdtasdt0(smndt0(smndt0(xn)),sz10) = smndt0(smndt0(xn)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_62]) ).
tcf(c_7134,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(xn))) = smndt0(smndt0(xn)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_57]) ).
tcf(c_7135,plain,
( ( sdtpldt0(smndt0(smndt0(xn)),sz00) = smndt0(smndt0(xn)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_56]) ).
tcf(c_7226,plain,
( ( smndt0(xx) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xx)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5535,c_70]) ).
tcf(c_7227,plain,
( aElement0(smndt0(smndt0(xx)))
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5535,c_53]) ).
tcf(c_7228,plain,
( aElement0(smndt0(smndt0(xx)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7227,c_5528]) ).
tcf(c_7231,plain,
( ( smndt0(xx) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xx)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7226,c_5528]) ).
tcf(c_7246,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(xx)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_2644]) ).
tcf(c_7247,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xx))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_2633]) ).
tcf(c_7248,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(xx))),sdtasdt0(X1,smndt0(smndt0(xx)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_65]) ).
tcf(c_7249,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xx)),X0),sdtasdt0(smndt0(smndt0(xx)),X1)) = sdtasdt0(smndt0(smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_64]) ).
tcf(c_7250,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xx)),X0),X1) = sdtasdt0(smndt0(smndt0(xx)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_61]) ).
tcf(c_7251,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xx)),X0),X1) = sdtpldt0(smndt0(smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_55]) ).
tcf(c_7252,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xx)),X0) = sdtasdt0(X0,smndt0(smndt0(xx))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_60]) ).
tcf(c_7253,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(xx)),X0) = sdtpldt0(X0,smndt0(smndt0(xx))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_54]) ).
tcf(c_7254,plain,
( ( sdtasdt0(smndt0(smndt0(xx)),smndt0(sz10)) = smndt0(smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_67]) ).
tcf(c_7255,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(xx))) = smndt0(smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_66]) ).
tcf(c_7256,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xx))),smndt0(smndt0(xx))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_59]) ).
tcf(c_7257,plain,
( ( sdtpldt0(smndt0(smndt0(xx)),smndt0(smndt0(smndt0(xx)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_58]) ).
tcf(c_7260,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(xx))) = smndt0(smndt0(xx)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_63]) ).
tcf(c_7261,plain,
( ( sdtasdt0(smndt0(smndt0(xx)),sz10) = smndt0(smndt0(xx)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_62]) ).
tcf(c_7262,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(xx))) = smndt0(smndt0(xx)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_57]) ).
tcf(c_7263,plain,
( ( sdtpldt0(smndt0(smndt0(xx)),sz00) = smndt0(smndt0(xx)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_56]) ).
tcf(c_7350,plain,
( ( smndt0(xy) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(xy))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xy)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5611,c_70]) ).
tcf(c_7351,plain,
( aElement0(smndt0(smndt0(xy)))
| ~ aElement0(smndt0(xy))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5611,c_53]) ).
tcf(c_7352,plain,
( aElement0(smndt0(smndt0(xy)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7351,c_5604]) ).
tcf(c_7355,plain,
( ( smndt0(xy) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(xy)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7350,c_5604]) ).
tcf(c_7364,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(xy)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_2644]) ).
tcf(c_7365,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xy))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_2633]) ).
tcf(c_7366,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(xy))),sdtasdt0(X1,smndt0(smndt0(xy)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_65]) ).
tcf(c_7367,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(xy)),X0),sdtasdt0(smndt0(smndt0(xy)),X1)) = sdtasdt0(smndt0(smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_64]) ).
tcf(c_7368,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(xy)),X0),X1) = sdtasdt0(smndt0(smndt0(xy)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_61]) ).
tcf(c_7369,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(xy)),X0),X1) = sdtpldt0(smndt0(smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_55]) ).
tcf(c_7370,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(xy)),X0) = sdtasdt0(X0,smndt0(smndt0(xy))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_60]) ).
tcf(c_7371,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(xy)),X0) = sdtpldt0(X0,smndt0(smndt0(xy))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_54]) ).
tcf(c_7372,plain,
( ( sdtasdt0(smndt0(smndt0(xy)),smndt0(sz10)) = smndt0(smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_67]) ).
tcf(c_7373,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(xy))) = smndt0(smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_66]) ).
tcf(c_7374,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xy))),smndt0(smndt0(xy))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_59]) ).
tcf(c_7375,plain,
( ( sdtpldt0(smndt0(smndt0(xy)),smndt0(smndt0(smndt0(xy)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_58]) ).
tcf(c_7378,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(xy))) = smndt0(smndt0(xy)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_63]) ).
tcf(c_7379,plain,
( ( sdtasdt0(smndt0(smndt0(xy)),sz10) = smndt0(smndt0(xy)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_62]) ).
tcf(c_7380,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(xy))) = smndt0(smndt0(xy)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_57]) ).
tcf(c_7381,plain,
( ( sdtpldt0(smndt0(smndt0(xy)),sz00) = smndt0(smndt0(xy)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_56]) ).
tcf(c_7460,plain,
( ( smndt0(iPr_def_12) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(iPr_def_12))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(iPr_def_12)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5687,c_70]) ).
tcf(c_7461,plain,
( aElement0(smndt0(smndt0(iPr_def_12)))
| ~ aElement0(smndt0(iPr_def_12))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5687,c_53]) ).
tcf(c_7462,plain,
( aElement0(smndt0(smndt0(iPr_def_12)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7461,c_5680]) ).
tcf(c_7465,plain,
( ( smndt0(iPr_def_12) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(iPr_def_12)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7460,c_5680]) ).
tcf(c_7474,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(iPr_def_12)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_2644]) ).
tcf(c_7475,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(iPr_def_12))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_2633]) ).
tcf(c_7476,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(iPr_def_12))),sdtasdt0(X1,smndt0(smndt0(iPr_def_12)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_65]) ).
tcf(c_7477,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(iPr_def_12)),X0),sdtasdt0(smndt0(smndt0(iPr_def_12)),X1)) = sdtasdt0(smndt0(smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_64]) ).
tcf(c_7478,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(iPr_def_12)),X0),X1) = sdtasdt0(smndt0(smndt0(iPr_def_12)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_61]) ).
tcf(c_7479,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(iPr_def_12)),X0),X1) = sdtpldt0(smndt0(smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_55]) ).
tcf(c_7480,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(iPr_def_12)),X0) = sdtasdt0(X0,smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_60]) ).
tcf(c_7481,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),X0) = sdtpldt0(X0,smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_54]) ).
tcf(c_7482,plain,
( ( sdtasdt0(smndt0(smndt0(iPr_def_12)),smndt0(sz10)) = smndt0(smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_67]) ).
tcf(c_7483,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(iPr_def_12))) = smndt0(smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_66]) ).
tcf(c_7484,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(iPr_def_12))),smndt0(smndt0(iPr_def_12))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_59]) ).
tcf(c_7485,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),smndt0(smndt0(smndt0(iPr_def_12)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_58]) ).
tcf(c_7488,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(iPr_def_12))) = smndt0(smndt0(iPr_def_12)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_63]) ).
tcf(c_7489,plain,
( ( sdtasdt0(smndt0(smndt0(iPr_def_12)),sz10) = smndt0(smndt0(iPr_def_12)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_62]) ).
tcf(c_7490,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(iPr_def_12))) = smndt0(smndt0(iPr_def_12)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_57]) ).
tcf(c_7491,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),sz00) = smndt0(smndt0(iPr_def_12)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_56]) ).
tcf(c_7578,plain,
( ( smndt0(iPr_def_10) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(iPr_def_10))
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(iPr_def_10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5809,c_70]) ).
tcf(c_7579,plain,
( aElement0(smndt0(smndt0(iPr_def_10)))
| ~ aElement0(smndt0(iPr_def_10))
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_5809,c_53]) ).
tcf(c_7580,plain,
( aElement0(smndt0(smndt0(iPr_def_10)))
| ~ aElement0(smndt0(sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7579,c_5796]) ).
tcf(c_7583,plain,
( ( smndt0(iPr_def_10) = sz00 )
| ( smndt0(sz10) = sz00 )
| ~ aElement0(smndt0(sz10))
| ( smndt0(smndt0(iPr_def_10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7578,c_5796]) ).
tcf(c_7592,plain,
( ( sdtasdt0(sz00,smndt0(smndt0(smndt0(iPr_def_10)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_2644]) ).
tcf(c_7593,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(iPr_def_10))),sz00) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_2633]) ).
tcf(c_7594,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,smndt0(smndt0(iPr_def_10))),sdtasdt0(X1,smndt0(smndt0(iPr_def_10)))) = sdtasdt0(sdtpldt0(X0,X1),smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_65]) ).
tcf(c_7595,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(smndt0(iPr_def_10)),X0),sdtasdt0(smndt0(smndt0(iPr_def_10)),X1)) = sdtasdt0(smndt0(smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_64]) ).
tcf(c_7596,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(smndt0(iPr_def_10)),X0),X1) = sdtasdt0(smndt0(smndt0(iPr_def_10)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_61]) ).
tcf(c_7597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(smndt0(iPr_def_10)),X0),X1) = sdtpldt0(smndt0(smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_55]) ).
tcf(c_7598,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(iPr_def_10)),X0) = sdtasdt0(X0,smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_60]) ).
tcf(c_7599,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),X0) = sdtpldt0(X0,smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(X0)
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_54]) ).
tcf(c_7600,plain,
( ( sdtasdt0(smndt0(smndt0(iPr_def_10)),smndt0(sz10)) = smndt0(smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_67]) ).
tcf(c_7601,plain,
( ( sdtasdt0(smndt0(sz10),smndt0(smndt0(iPr_def_10))) = smndt0(smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_66]) ).
tcf(c_7602,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(iPr_def_10))),smndt0(smndt0(iPr_def_10))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_59]) ).
tcf(c_7603,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),smndt0(smndt0(smndt0(iPr_def_10)))) = sz00 )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_58]) ).
tcf(c_7606,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(iPr_def_10))) = smndt0(smndt0(iPr_def_10)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_63]) ).
tcf(c_7607,plain,
( ( sdtasdt0(smndt0(smndt0(iPr_def_10)),sz10) = smndt0(smndt0(iPr_def_10)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_62]) ).
tcf(c_7608,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(iPr_def_10))) = smndt0(smndt0(iPr_def_10)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_57]) ).
tcf(c_7609,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),sz00) = smndt0(smndt0(iPr_def_10)) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_56]) ).
tcf(c_7665,plain,
sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
inference(superposition,[status(thm)],[c_50,c_2565]) ).
tcf(c_7666,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),sz00) = smndt0(smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_2565]) ).
tcf(c_7667,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00) = smndt0(sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2565]) ).
tcf(c_7668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00) = smndt0(sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2565]) ).
tcf(c_7674,plain,
sdtpldt0(smndt0(sdtpldt0(xk,xm)),sz00) = smndt0(sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_2565]) ).
tcf(c_7675,plain,
sdtpldt0(smndt0(sdtpldt0(xl,xn)),sz00) = smndt0(sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_2565]) ).
tcf(c_7676,plain,
sdtpldt0(smndt0(sdtasdt0(xz,xk)),sz00) = smndt0(sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_2565]) ).
tcf(c_7677,plain,
sdtpldt0(smndt0(sdtasdt0(xz,xl)),sz00) = smndt0(sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_2565]) ).
tcf(c_7682,plain,
sdtpldt0(smndt0(smndt0(xz)),sz00) = smndt0(smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_2565]) ).
tcf(c_7683,plain,
sdtpldt0(smndt0(smndt0(xk)),sz00) = smndt0(smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_2565]) ).
tcf(c_7684,plain,
sdtpldt0(smndt0(smndt0(xl)),sz00) = smndt0(smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_2565]) ).
tcf(c_7685,plain,
sdtpldt0(smndt0(smndt0(xm)),sz00) = smndt0(smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_2565]) ).
tcf(c_7686,plain,
sdtpldt0(smndt0(smndt0(xn)),sz00) = smndt0(smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_2565]) ).
tcf(c_7687,plain,
sdtpldt0(smndt0(smndt0(xx)),sz00) = smndt0(smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_2565]) ).
tcf(c_7688,plain,
sdtpldt0(smndt0(smndt0(xy)),sz00) = smndt0(smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_2565]) ).
tcf(c_7689,plain,
sdtpldt0(smndt0(smndt0(iPr_def_12)),sz00) = smndt0(smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_2565]) ).
tcf(c_7690,plain,
sdtpldt0(smndt0(smndt0(iPr_def_10)),sz00) = smndt0(smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_2565]) ).
tcf(c_7691,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xz))),sz00) = smndt0(smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_2565]) ).
tcf(c_7692,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xk))),sz00) = smndt0(smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_2565]) ).
tcf(c_7693,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xl))),sz00) = smndt0(smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_2565]) ).
tcf(c_7694,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xm))),sz00) = smndt0(smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_2565]) ).
tcf(c_7695,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xn))),sz00) = smndt0(smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_2565]) ).
tcf(c_7696,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xx))),sz00) = smndt0(smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_2565]) ).
tcf(c_7697,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(xy))),sz00) = smndt0(smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_2565]) ).
tcf(c_7698,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(iPr_def_12))),sz00) = smndt0(smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_2565]) ).
tcf(c_7699,plain,
( ( sdtpldt0(smndt0(smndt0(smndt0(iPr_def_10))),sz00) = smndt0(smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_2565]) ).
tcf(c_7826,plain,
sdtpldt0(sz00,smndt0(sz10)) = smndt0(sz10),
inference(superposition,[status(thm)],[c_50,c_2576]) ).
tcf(c_7827,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,smndt0(smndt0(X0))) = smndt0(smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_2576]) ).
tcf(c_7828,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1))) = smndt0(sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2576]) ).
tcf(c_7829,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1))) = smndt0(sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2576]) ).
tcf(c_7835,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,xm))) = smndt0(sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_2576]) ).
tcf(c_7836,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,xn))) = smndt0(sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_2576]) ).
tcf(c_7837,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xz,xk))) = smndt0(sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_2576]) ).
tcf(c_7838,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xz,xl))) = smndt0(sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_2576]) ).
tcf(c_7843,plain,
sdtpldt0(sz00,smndt0(smndt0(xz))) = smndt0(smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_2576]) ).
tcf(c_7844,plain,
sdtpldt0(sz00,smndt0(smndt0(xk))) = smndt0(smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_2576]) ).
tcf(c_7845,plain,
sdtpldt0(sz00,smndt0(smndt0(xl))) = smndt0(smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_2576]) ).
tcf(c_7846,plain,
sdtpldt0(sz00,smndt0(smndt0(xm))) = smndt0(smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_2576]) ).
tcf(c_7847,plain,
sdtpldt0(sz00,smndt0(smndt0(xn))) = smndt0(smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_2576]) ).
tcf(c_7848,plain,
sdtpldt0(sz00,smndt0(smndt0(xx))) = smndt0(smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_2576]) ).
tcf(c_7849,plain,
sdtpldt0(sz00,smndt0(smndt0(xy))) = smndt0(smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_2576]) ).
tcf(c_7850,plain,
sdtpldt0(sz00,smndt0(smndt0(iPr_def_12))) = smndt0(smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_2576]) ).
tcf(c_7851,plain,
sdtpldt0(sz00,smndt0(smndt0(iPr_def_10))) = smndt0(smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_2576]) ).
tcf(c_7852,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(xz)))) = smndt0(smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_2576]) ).
tcf(c_7853,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(xk)))) = smndt0(smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_2576]) ).
tcf(c_7854,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(xl)))) = smndt0(smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_2576]) ).
tcf(c_7855,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(xm)))) = smndt0(smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_2576]) ).
tcf(c_7856,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(xn)))) = smndt0(smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_2576]) ).
tcf(c_7857,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(xx)))) = smndt0(smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_2576]) ).
tcf(c_7858,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(xy)))) = smndt0(smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_2576]) ).
tcf(c_7859,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(iPr_def_12)))) = smndt0(smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_2576]) ).
tcf(c_7860,plain,
( ( sdtpldt0(sz00,smndt0(smndt0(smndt0(iPr_def_10)))) = smndt0(smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_2576]) ).
tcf(c_7935,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),sz10) = smndt0(smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_2587]) ).
tcf(c_7936,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz10) = smndt0(sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2587]) ).
tcf(c_7937,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz10) = smndt0(sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2587]) ).
tcf(c_7943,plain,
sdtasdt0(smndt0(sdtpldt0(xk,xm)),sz10) = smndt0(sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_2587]) ).
tcf(c_7944,plain,
sdtasdt0(smndt0(sdtpldt0(xl,xn)),sz10) = smndt0(sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_2587]) ).
tcf(c_7945,plain,
sdtasdt0(smndt0(sdtasdt0(xz,xk)),sz10) = smndt0(sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_2587]) ).
tcf(c_7946,plain,
sdtasdt0(smndt0(sdtasdt0(xz,xl)),sz10) = smndt0(sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_2587]) ).
tcf(c_7951,plain,
sdtasdt0(smndt0(smndt0(xz)),sz10) = smndt0(smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_2587]) ).
tcf(c_7952,plain,
sdtasdt0(smndt0(smndt0(xk)),sz10) = smndt0(smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_2587]) ).
tcf(c_7953,plain,
sdtasdt0(smndt0(smndt0(xl)),sz10) = smndt0(smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_2587]) ).
tcf(c_7954,plain,
sdtasdt0(smndt0(smndt0(xm)),sz10) = smndt0(smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_2587]) ).
tcf(c_7955,plain,
sdtasdt0(smndt0(smndt0(xn)),sz10) = smndt0(smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_2587]) ).
tcf(c_7956,plain,
sdtasdt0(smndt0(smndt0(xx)),sz10) = smndt0(smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_2587]) ).
tcf(c_7957,plain,
sdtasdt0(smndt0(smndt0(xy)),sz10) = smndt0(smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_2587]) ).
tcf(c_7958,plain,
sdtasdt0(smndt0(smndt0(iPr_def_12)),sz10) = smndt0(smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_2587]) ).
tcf(c_7959,plain,
sdtasdt0(smndt0(smndt0(iPr_def_10)),sz10) = smndt0(smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_2587]) ).
tcf(c_7960,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xz))),sz10) = smndt0(smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_2587]) ).
tcf(c_7961,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xk))),sz10) = smndt0(smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_2587]) ).
tcf(c_7962,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xl))),sz10) = smndt0(smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_2587]) ).
tcf(c_7963,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xm))),sz10) = smndt0(smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_2587]) ).
tcf(c_7964,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xn))),sz10) = smndt0(smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_2587]) ).
tcf(c_7965,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xx))),sz10) = smndt0(smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_2587]) ).
tcf(c_7966,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(xy))),sz10) = smndt0(smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_2587]) ).
tcf(c_7967,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(iPr_def_12))),sz10) = smndt0(smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_2587]) ).
tcf(c_7968,plain,
( ( sdtasdt0(smndt0(smndt0(smndt0(iPr_def_10))),sz10) = smndt0(smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_2587]) ).
tcf(c_8088,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,smndt0(smndt0(X0))) = smndt0(smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_2598]) ).
tcf(c_8089,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,smndt0(sdtpldt0(X0,X1))) = smndt0(sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2598]) ).
tcf(c_8090,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,smndt0(sdtasdt0(X0,X1))) = smndt0(sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2598]) ).
tcf(c_8096,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,xm))) = smndt0(sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_2598]) ).
tcf(c_8097,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,xn))) = smndt0(sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_2598]) ).
tcf(c_8098,plain,
sdtasdt0(sz10,smndt0(sdtasdt0(xz,xk))) = smndt0(sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_2598]) ).
tcf(c_8099,plain,
sdtasdt0(sz10,smndt0(sdtasdt0(xz,xl))) = smndt0(sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_2598]) ).
tcf(c_8104,plain,
sdtasdt0(sz10,smndt0(smndt0(xz))) = smndt0(smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_2598]) ).
tcf(c_8105,plain,
sdtasdt0(sz10,smndt0(smndt0(xk))) = smndt0(smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_2598]) ).
tcf(c_8106,plain,
sdtasdt0(sz10,smndt0(smndt0(xl))) = smndt0(smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_2598]) ).
tcf(c_8107,plain,
sdtasdt0(sz10,smndt0(smndt0(xm))) = smndt0(smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_2598]) ).
tcf(c_8108,plain,
sdtasdt0(sz10,smndt0(smndt0(xn))) = smndt0(smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_2598]) ).
tcf(c_8109,plain,
sdtasdt0(sz10,smndt0(smndt0(xx))) = smndt0(smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_2598]) ).
tcf(c_8110,plain,
sdtasdt0(sz10,smndt0(smndt0(xy))) = smndt0(smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_2598]) ).
tcf(c_8111,plain,
sdtasdt0(sz10,smndt0(smndt0(iPr_def_12))) = smndt0(smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_2598]) ).
tcf(c_8112,plain,
sdtasdt0(sz10,smndt0(smndt0(iPr_def_10))) = smndt0(smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_2598]) ).
tcf(c_8113,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(xz)))) = smndt0(smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_2598]) ).
tcf(c_8114,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(xk)))) = smndt0(smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_2598]) ).
tcf(c_8115,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(xl)))) = smndt0(smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_2598]) ).
tcf(c_8116,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(xm)))) = smndt0(smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_2598]) ).
tcf(c_8117,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(xn)))) = smndt0(smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_2598]) ).
tcf(c_8118,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(xx)))) = smndt0(smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_2598]) ).
tcf(c_8119,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(xy)))) = smndt0(smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_2598]) ).
tcf(c_8120,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(iPr_def_12)))) = smndt0(smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_2598]) ).
tcf(c_8121,plain,
( ( sdtasdt0(sz10,smndt0(smndt0(smndt0(iPr_def_10)))) = smndt0(smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_2598]) ).
tcf(c_8356,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xJ)
| ~ aElementOf0(smndt0(sdtpldt0(xk,xm)),xJ) ),
inference(superposition,[status(thm)],[c_2939,c_954]) ).
tcf(c_8357,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aElementOf0(smndt0(sdtpldt0(xk,xm)),xI) ),
inference(superposition,[status(thm)],[c_2939,c_930]) ).
tcf(c_8359,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(sdtpldt0(xk,xm)),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8357,c_110]) ).
tcf(c_8373,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(smndt0(sdtpldt0(xl,xn)),xJ) ),
inference(superposition,[status(thm)],[c_2940,c_954]) ).
tcf(c_8374,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xI)
| ~ aElementOf0(smndt0(sdtpldt0(xl,xn)),xI) ),
inference(superposition,[status(thm)],[c_2940,c_930]) ).
tcf(c_8379,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(sdtpldt0(xl,xn)),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8373,c_111]) ).
tcf(c_8390,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xJ)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xk)),xJ) ),
inference(superposition,[status(thm)],[c_2941,c_954]) ).
tcf(c_8391,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xk)),xI) ),
inference(superposition,[status(thm)],[c_2941,c_930]) ).
tcf(c_8393,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xk)),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8391,c_112]) ).
tcf(c_8407,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xl)),xJ) ),
inference(superposition,[status(thm)],[c_2942,c_954]) ).
tcf(c_8408,plain,
( aElementOf0(sz00,xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xI)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xl)),xI) ),
inference(superposition,[status(thm)],[c_2942,c_930]) ).
tcf(c_8413,plain,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xl)),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8407,c_113]) ).
tcf(c_8587,plain,
sdtpldt0(sz00,sz10) = sdtpldt0(sz10,sz00),
inference(superposition,[status(thm)],[c_50,c_3256]) ).
tcf(c_8588,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_3256]) ).
tcf(c_8589,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3256]) ).
tcf(c_8590,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3256]) ).
tcf(c_8591,plain,
sdtpldt0(sz00,xz) = sdtpldt0(xz,sz00),
inference(superposition,[status(thm)],[c_103,c_3256]) ).
tcf(c_8592,plain,
sdtpldt0(sz00,xk) = sdtpldt0(xk,sz00),
inference(superposition,[status(thm)],[c_2674,c_3256]) ).
tcf(c_8593,plain,
sdtpldt0(sz00,xl) = sdtpldt0(xl,sz00),
inference(superposition,[status(thm)],[c_2673,c_3256]) ).
tcf(c_8594,plain,
sdtpldt0(sz00,xm) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_2672,c_3256]) ).
tcf(c_8595,plain,
sdtpldt0(sz00,xn) = sdtpldt0(xn,sz00),
inference(superposition,[status(thm)],[c_2671,c_3256]) ).
tcf(c_8596,plain,
sdtpldt0(sdtpldt0(xk,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_3256]) ).
tcf(c_8597,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_3256]) ).
tcf(c_8598,plain,
sdtpldt0(sdtasdt0(xz,xk),sz00) = sdtpldt0(sz00,sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_3256]) ).
tcf(c_8599,plain,
sdtpldt0(sdtasdt0(xz,xl),sz00) = sdtpldt0(sz00,sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_3256]) ).
tcf(c_8600,plain,
sdtpldt0(sz00,xx) = sdtpldt0(xx,sz00),
inference(superposition,[status(thm)],[c_2826,c_3256]) ).
tcf(c_8601,plain,
sdtpldt0(sz00,xy) = sdtpldt0(xy,sz00),
inference(superposition,[status(thm)],[c_2842,c_3256]) ).
tcf(c_8602,plain,
sdtpldt0(sz00,iPr_def_10) = sdtpldt0(iPr_def_10,sz00),
inference(superposition,[status(thm)],[c_3184,c_3256]) ).
tcf(c_8603,plain,
sdtpldt0(sz00,iPr_def_12) = sdtpldt0(iPr_def_12,sz00),
inference(superposition,[status(thm)],[c_2900,c_3256]) ).
tcf(c_8604,plain,
sdtpldt0(smndt0(xz),sz00) = sdtpldt0(sz00,smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_3256]) ).
tcf(c_8605,plain,
sdtpldt0(smndt0(xk),sz00) = sdtpldt0(sz00,smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_3256]) ).
tcf(c_8606,plain,
sdtpldt0(smndt0(xl),sz00) = sdtpldt0(sz00,smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_3256]) ).
tcf(c_8607,plain,
sdtpldt0(smndt0(xm),sz00) = sdtpldt0(sz00,smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_3256]) ).
tcf(c_8608,plain,
sdtpldt0(smndt0(xn),sz00) = sdtpldt0(sz00,smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_3256]) ).
tcf(c_8609,plain,
sdtpldt0(smndt0(xx),sz00) = sdtpldt0(sz00,smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_3256]) ).
tcf(c_8610,plain,
sdtpldt0(smndt0(xy),sz00) = sdtpldt0(sz00,smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_3256]) ).
tcf(c_8611,plain,
sdtpldt0(smndt0(iPr_def_12),sz00) = sdtpldt0(sz00,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_3256]) ).
tcf(c_8612,plain,
sdtpldt0(smndt0(iPr_def_10),sz00) = sdtpldt0(sz00,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_3256]) ).
tcf(c_8613,plain,
( ( sdtpldt0(smndt0(smndt0(xz)),sz00) = sdtpldt0(sz00,smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_3256]) ).
tcf(c_8614,plain,
( ( sdtpldt0(smndt0(smndt0(xk)),sz00) = sdtpldt0(sz00,smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_3256]) ).
tcf(c_8615,plain,
( ( sdtpldt0(smndt0(smndt0(xl)),sz00) = sdtpldt0(sz00,smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_3256]) ).
tcf(c_8616,plain,
( ( sdtpldt0(smndt0(smndt0(xm)),sz00) = sdtpldt0(sz00,smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_3256]) ).
tcf(c_8617,plain,
( ( sdtpldt0(smndt0(smndt0(xn)),sz00) = sdtpldt0(sz00,smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_3256]) ).
tcf(c_8618,plain,
( ( sdtpldt0(smndt0(smndt0(xx)),sz00) = sdtpldt0(sz00,smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_3256]) ).
tcf(c_8619,plain,
( ( sdtpldt0(smndt0(smndt0(xy)),sz00) = sdtpldt0(sz00,smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_3256]) ).
tcf(c_8620,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),sz00) = sdtpldt0(sz00,smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_3256]) ).
tcf(c_8621,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),sz00) = sdtpldt0(sz00,smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_3256]) ).
tcf(c_8668,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_3257]) ).
tcf(c_8669,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3257]) ).
tcf(c_8670,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3257]) ).
tcf(c_8671,plain,
sdtpldt0(sz10,xz) = sdtpldt0(xz,sz10),
inference(superposition,[status(thm)],[c_103,c_3257]) ).
tcf(c_8672,plain,
sdtpldt0(sz10,xk) = sdtpldt0(xk,sz10),
inference(superposition,[status(thm)],[c_2674,c_3257]) ).
tcf(c_8673,plain,
sdtpldt0(sz10,xl) = sdtpldt0(xl,sz10),
inference(superposition,[status(thm)],[c_2673,c_3257]) ).
tcf(c_8674,plain,
sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10),
inference(superposition,[status(thm)],[c_2672,c_3257]) ).
tcf(c_8675,plain,
sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10),
inference(superposition,[status(thm)],[c_2671,c_3257]) ).
tcf(c_8676,plain,
sdtpldt0(sdtpldt0(xk,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_3257]) ).
tcf(c_8677,plain,
sdtpldt0(sdtpldt0(xl,xn),sz10) = sdtpldt0(sz10,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_3257]) ).
tcf(c_8678,plain,
sdtpldt0(sdtasdt0(xz,xk),sz10) = sdtpldt0(sz10,sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_3257]) ).
tcf(c_8679,plain,
sdtpldt0(sdtasdt0(xz,xl),sz10) = sdtpldt0(sz10,sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_3257]) ).
tcf(c_8680,plain,
sdtpldt0(sz10,xx) = sdtpldt0(xx,sz10),
inference(superposition,[status(thm)],[c_2826,c_3257]) ).
tcf(c_8681,plain,
sdtpldt0(sz10,xy) = sdtpldt0(xy,sz10),
inference(superposition,[status(thm)],[c_2842,c_3257]) ).
tcf(c_8682,plain,
sdtpldt0(sz10,iPr_def_10) = sdtpldt0(iPr_def_10,sz10),
inference(superposition,[status(thm)],[c_3184,c_3257]) ).
tcf(c_8683,plain,
sdtpldt0(sz10,iPr_def_12) = sdtpldt0(iPr_def_12,sz10),
inference(superposition,[status(thm)],[c_2900,c_3257]) ).
tcf(c_8684,plain,
sdtpldt0(smndt0(xz),sz10) = sdtpldt0(sz10,smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_3257]) ).
tcf(c_8685,plain,
sdtpldt0(smndt0(xk),sz10) = sdtpldt0(sz10,smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_3257]) ).
tcf(c_8686,plain,
sdtpldt0(smndt0(xl),sz10) = sdtpldt0(sz10,smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_3257]) ).
tcf(c_8687,plain,
sdtpldt0(smndt0(xm),sz10) = sdtpldt0(sz10,smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_3257]) ).
tcf(c_8688,plain,
sdtpldt0(smndt0(xn),sz10) = sdtpldt0(sz10,smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_3257]) ).
tcf(c_8689,plain,
sdtpldt0(smndt0(xx),sz10) = sdtpldt0(sz10,smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_3257]) ).
tcf(c_8690,plain,
sdtpldt0(smndt0(xy),sz10) = sdtpldt0(sz10,smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_3257]) ).
tcf(c_8691,plain,
sdtpldt0(smndt0(iPr_def_12),sz10) = sdtpldt0(sz10,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_3257]) ).
tcf(c_8692,plain,
sdtpldt0(smndt0(iPr_def_10),sz10) = sdtpldt0(sz10,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_3257]) ).
tcf(c_8693,plain,
( ( sdtpldt0(smndt0(smndt0(xz)),sz10) = sdtpldt0(sz10,smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_3257]) ).
tcf(c_8694,plain,
( ( sdtpldt0(smndt0(smndt0(xk)),sz10) = sdtpldt0(sz10,smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_3257]) ).
tcf(c_8695,plain,
( ( sdtpldt0(smndt0(smndt0(xl)),sz10) = sdtpldt0(sz10,smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_3257]) ).
tcf(c_8696,plain,
( ( sdtpldt0(smndt0(smndt0(xm)),sz10) = sdtpldt0(sz10,smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_3257]) ).
tcf(c_8697,plain,
( ( sdtpldt0(smndt0(smndt0(xn)),sz10) = sdtpldt0(sz10,smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_3257]) ).
tcf(c_8698,plain,
( ( sdtpldt0(smndt0(smndt0(xx)),sz10) = sdtpldt0(sz10,smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_3257]) ).
tcf(c_8699,plain,
( ( sdtpldt0(smndt0(smndt0(xy)),sz10) = sdtpldt0(sz10,smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_3257]) ).
tcf(c_8700,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),sz10) = sdtpldt0(sz10,smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_3257]) ).
tcf(c_8701,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),sz10) = sdtpldt0(sz10,smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_3257]) ).
tcf(c_8767,plain,
( aElement0(sdtpldt0(xz,sz10))
| ~ aElement0(xz)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8671,c_52]) ).
tcf(c_8768,plain,
( aElementOf0(sdtpldt0(xz,sz10),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8671,c_954]) ).
tcf(c_8769,plain,
( aElementOf0(sdtpldt0(xz,sz10),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8671,c_930]) ).
tcf(c_8770,plain,
aElement0(sdtpldt0(xz,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_8767,c_103,c_50]) ).
tcf(c_8813,plain,
sdtpldt0(sdtpldt0(xz,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_3257]) ).
tcf(c_8814,plain,
sdtpldt0(sdtpldt0(xz,sz10),sz00) = sdtpldt0(sz00,sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_3256]) ).
tcf(c_8815,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,sz10))) = smndt0(sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_2598]) ).
tcf(c_8816,plain,
sdtasdt0(smndt0(sdtpldt0(xz,sz10)),sz10) = smndt0(sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_2587]) ).
tcf(c_8817,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,sz10))) = smndt0(sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_2576]) ).
tcf(c_8818,plain,
sdtpldt0(smndt0(sdtpldt0(xz,sz10)),sz00) = smndt0(sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_2565]) ).
tcf(c_8819,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,sz10))) = sz00,
inference(superposition,[status(thm)],[c_8770,c_2644]) ).
tcf(c_8820,plain,
sdtasdt0(smndt0(sdtpldt0(xz,sz10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8770,c_2633]) ).
tcf(c_8821,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,sz10)),sdtasdt0(X1,sdtpldt0(xz,sz10))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,sz10)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_65]) ).
tcf(c_8822,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,sz10),X0),sdtasdt0(sdtpldt0(xz,sz10),X1)) = sdtasdt0(sdtpldt0(xz,sz10),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_64]) ).
tcf(c_8823,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,sz10),X0),X1) = sdtasdt0(sdtpldt0(xz,sz10),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_61]) ).
tcf(c_8824,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,sz10),X0),X1) = sdtpldt0(sdtpldt0(xz,sz10),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_55]) ).
tcf(c_8825,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,sz10),X0) = sdtasdt0(X0,sdtpldt0(xz,sz10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_60]) ).
tcf(c_8826,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,sz10),X0) = sdtpldt0(X0,sdtpldt0(xz,sz10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8770,c_54]) ).
tcf(c_8827,plain,
sdtasdt0(sdtpldt0(xz,sz10),smndt0(sz10)) = smndt0(sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_67]) ).
tcf(c_8828,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,sz10)) = smndt0(sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_66]) ).
tcf(c_8829,plain,
sdtpldt0(smndt0(sdtpldt0(xz,sz10)),sdtpldt0(xz,sz10)) = sz00,
inference(superposition,[status(thm)],[c_8770,c_59]) ).
tcf(c_8830,plain,
sdtpldt0(sdtpldt0(xz,sz10),smndt0(sdtpldt0(xz,sz10))) = sz00,
inference(superposition,[status(thm)],[c_8770,c_58]) ).
tcf(c_8831,plain,
sdtasdt0(sz00,sdtpldt0(xz,sz10)) = sz00,
inference(superposition,[status(thm)],[c_8770,c_69]) ).
tcf(c_8832,plain,
sdtasdt0(sdtpldt0(xz,sz10),sz00) = sz00,
inference(superposition,[status(thm)],[c_8770,c_68]) ).
tcf(c_8833,plain,
sdtasdt0(sz10,sdtpldt0(xz,sz10)) = sdtpldt0(xz,sz10),
inference(superposition,[status(thm)],[c_8770,c_63]) ).
tcf(c_8834,plain,
sdtasdt0(sdtpldt0(xz,sz10),sz10) = sdtpldt0(xz,sz10),
inference(superposition,[status(thm)],[c_8770,c_62]) ).
tcf(c_8835,plain,
sdtpldt0(sz00,sdtpldt0(xz,sz10)) = sdtpldt0(xz,sz10),
inference(superposition,[status(thm)],[c_8770,c_57]) ).
tcf(c_8836,plain,
sdtpldt0(sdtpldt0(xz,sz10),sz00) = sdtpldt0(xz,sz10),
inference(superposition,[status(thm)],[c_8770,c_56]) ).
tcf(c_8869,plain,
( aElement0(sdtpldt0(sz10,xk))
| ~ aElement0(xk)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8672,c_52]) ).
tcf(c_8870,plain,
( aElementOf0(sdtpldt0(sz10,xk),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8672,c_954]) ).
tcf(c_8871,plain,
( aElementOf0(sdtpldt0(sz10,xk),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8672,c_930]) ).
tcf(c_8872,plain,
aElement0(sdtpldt0(sz10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_8869,c_2674,c_50]) ).
tcf(c_8873,plain,
( aElementOf0(sdtpldt0(sz10,xk),xI)
| ~ aElementOf0(sz10,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8871,c_104]) ).
tcf(c_8921,plain,
sdtpldt0(sdtpldt0(sz10,xk),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_3257]) ).
tcf(c_8922,plain,
sdtpldt0(sdtpldt0(sz10,xk),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_3256]) ).
tcf(c_8923,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,xk))) = smndt0(sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_2598]) ).
tcf(c_8924,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xk)),sz10) = smndt0(sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_2587]) ).
tcf(c_8925,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,xk))) = smndt0(sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_2576]) ).
tcf(c_8926,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xk)),sz00) = smndt0(sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_2565]) ).
tcf(c_8927,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,xk))) = sz00,
inference(superposition,[status(thm)],[c_8872,c_2644]) ).
tcf(c_8928,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8872,c_2633]) ).
tcf(c_8929,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xk)),sdtasdt0(X1,sdtpldt0(sz10,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xk)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8872,c_65]) ).
tcf(c_8930,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xk),X0),sdtasdt0(sdtpldt0(sz10,xk),X1)) = sdtasdt0(sdtpldt0(sz10,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8872,c_64]) ).
tcf(c_8931,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xk),X0),X1) = sdtasdt0(sdtpldt0(sz10,xk),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8872,c_61]) ).
tcf(c_8932,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xk),X0),X1) = sdtpldt0(sdtpldt0(sz10,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8872,c_55]) ).
tcf(c_8933,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xk),X0) = sdtasdt0(X0,sdtpldt0(sz10,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8872,c_60]) ).
tcf(c_8934,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xk),X0) = sdtpldt0(X0,sdtpldt0(sz10,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8872,c_54]) ).
tcf(c_8935,plain,
sdtasdt0(sdtpldt0(sz10,xk),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_67]) ).
tcf(c_8936,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xk)) = smndt0(sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_66]) ).
tcf(c_8937,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xk)),sdtpldt0(sz10,xk)) = sz00,
inference(superposition,[status(thm)],[c_8872,c_59]) ).
tcf(c_8938,plain,
sdtpldt0(sdtpldt0(sz10,xk),smndt0(sdtpldt0(sz10,xk))) = sz00,
inference(superposition,[status(thm)],[c_8872,c_58]) ).
tcf(c_8939,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xk)) = sz00,
inference(superposition,[status(thm)],[c_8872,c_69]) ).
tcf(c_8940,plain,
sdtasdt0(sdtpldt0(sz10,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_8872,c_68]) ).
tcf(c_8941,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xk)) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_8872,c_63]) ).
tcf(c_8942,plain,
sdtasdt0(sdtpldt0(sz10,xk),sz10) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_8872,c_62]) ).
tcf(c_8943,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xk)) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_8872,c_57]) ).
tcf(c_8944,plain,
sdtpldt0(sdtpldt0(sz10,xk),sz00) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_8872,c_56]) ).
tcf(c_8986,plain,
( aElement0(sdtpldt0(sz10,xl))
| ~ aElement0(xl)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8673,c_52]) ).
tcf(c_8987,plain,
( aElementOf0(sdtpldt0(sz10,xl),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8673,c_954]) ).
tcf(c_8988,plain,
( aElementOf0(sdtpldt0(sz10,xl),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8673,c_930]) ).
tcf(c_8989,plain,
aElement0(sdtpldt0(sz10,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_8986,c_2673,c_50]) ).
tcf(c_8993,plain,
( aElementOf0(sdtpldt0(sz10,xl),xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8987,c_105]) ).
tcf(c_8996,plain,
sdtpldt0(sdtpldt0(sz10,xl),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_3257]) ).
tcf(c_8997,plain,
sdtpldt0(sdtpldt0(sz10,xl),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_3256]) ).
tcf(c_8998,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,xl))) = smndt0(sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_2598]) ).
tcf(c_8999,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xl)),sz10) = smndt0(sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_2587]) ).
tcf(c_9000,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,xl))) = smndt0(sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_2576]) ).
tcf(c_9001,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xl)),sz00) = smndt0(sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_2565]) ).
tcf(c_9002,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,xl))) = sz00,
inference(superposition,[status(thm)],[c_8989,c_2644]) ).
tcf(c_9003,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8989,c_2633]) ).
tcf(c_9004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xl)),sdtasdt0(X1,sdtpldt0(sz10,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xl)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8989,c_65]) ).
tcf(c_9005,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xl),X0),sdtasdt0(sdtpldt0(sz10,xl),X1)) = sdtasdt0(sdtpldt0(sz10,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8989,c_64]) ).
tcf(c_9006,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xl),X0),X1) = sdtasdt0(sdtpldt0(sz10,xl),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8989,c_61]) ).
tcf(c_9007,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xl),X0),X1) = sdtpldt0(sdtpldt0(sz10,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8989,c_55]) ).
tcf(c_9008,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xl),X0) = sdtasdt0(X0,sdtpldt0(sz10,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8989,c_60]) ).
tcf(c_9009,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xl),X0) = sdtpldt0(X0,sdtpldt0(sz10,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8989,c_54]) ).
tcf(c_9010,plain,
sdtasdt0(sdtpldt0(sz10,xl),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_67]) ).
tcf(c_9011,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xl)) = smndt0(sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_66]) ).
tcf(c_9012,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xl)),sdtpldt0(sz10,xl)) = sz00,
inference(superposition,[status(thm)],[c_8989,c_59]) ).
tcf(c_9013,plain,
sdtpldt0(sdtpldt0(sz10,xl),smndt0(sdtpldt0(sz10,xl))) = sz00,
inference(superposition,[status(thm)],[c_8989,c_58]) ).
tcf(c_9014,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xl)) = sz00,
inference(superposition,[status(thm)],[c_8989,c_69]) ).
tcf(c_9015,plain,
sdtasdt0(sdtpldt0(sz10,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_8989,c_68]) ).
tcf(c_9016,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xl)) = sdtpldt0(sz10,xl),
inference(superposition,[status(thm)],[c_8989,c_63]) ).
tcf(c_9017,plain,
sdtasdt0(sdtpldt0(sz10,xl),sz10) = sdtpldt0(sz10,xl),
inference(superposition,[status(thm)],[c_8989,c_62]) ).
tcf(c_9018,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xl)) = sdtpldt0(sz10,xl),
inference(superposition,[status(thm)],[c_8989,c_57]) ).
tcf(c_9019,plain,
sdtpldt0(sdtpldt0(sz10,xl),sz00) = sdtpldt0(sz10,xl),
inference(superposition,[status(thm)],[c_8989,c_56]) ).
tcf(c_9083,plain,
( aElement0(sdtpldt0(sz10,xm))
| ~ aElement0(xm)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8674,c_52]) ).
tcf(c_9084,plain,
( aElementOf0(sdtpldt0(sz10,xm),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8674,c_954]) ).
tcf(c_9085,plain,
( aElementOf0(sdtpldt0(sz10,xm),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8674,c_930]) ).
tcf(c_9086,plain,
aElement0(sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_9083,c_2672,c_50]) ).
tcf(c_9087,plain,
( aElementOf0(sdtpldt0(sz10,xm),xI)
| ~ aElementOf0(sz10,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9085,c_107]) ).
tcf(c_9093,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_3257]) ).
tcf(c_9094,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_3256]) ).
tcf(c_9095,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,xm))) = smndt0(sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_2598]) ).
tcf(c_9096,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xm)),sz10) = smndt0(sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_2587]) ).
tcf(c_9097,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,xm))) = smndt0(sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_2576]) ).
tcf(c_9098,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xm)),sz00) = smndt0(sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_2565]) ).
tcf(c_9099,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,xm))) = sz00,
inference(superposition,[status(thm)],[c_9086,c_2644]) ).
tcf(c_9100,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9086,c_2633]) ).
tcf(c_9101,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtasdt0(X1,sdtpldt0(sz10,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9086,c_65]) ).
tcf(c_9102,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtasdt0(sdtpldt0(sz10,xm),X1)) = sdtasdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9086,c_64]) ).
tcf(c_9103,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),X1) = sdtasdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9086,c_61]) ).
tcf(c_9104,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),X0),X1) = sdtpldt0(sdtpldt0(sz10,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9086,c_55]) ).
tcf(c_9105,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xm),X0) = sdtasdt0(X0,sdtpldt0(sz10,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9086,c_60]) ).
tcf(c_9106,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xm),X0) = sdtpldt0(X0,sdtpldt0(sz10,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9086,c_54]) ).
tcf(c_9107,plain,
sdtasdt0(sdtpldt0(sz10,xm),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_67]) ).
tcf(c_9108,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xm)) = smndt0(sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_66]) ).
tcf(c_9109,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) = sz00,
inference(superposition,[status(thm)],[c_9086,c_59]) ).
tcf(c_9110,plain,
sdtpldt0(sdtpldt0(sz10,xm),smndt0(sdtpldt0(sz10,xm))) = sz00,
inference(superposition,[status(thm)],[c_9086,c_58]) ).
tcf(c_9111,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xm)) = sz00,
inference(superposition,[status(thm)],[c_9086,c_69]) ).
tcf(c_9112,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_9086,c_68]) ).
tcf(c_9113,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_9086,c_63]) ).
tcf(c_9114,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz10) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_9086,c_62]) ).
tcf(c_9115,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_9086,c_57]) ).
tcf(c_9116,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz00) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_9086,c_56]) ).
tcf(c_9284,plain,
( aElement0(sdtpldt0(sz10,xn))
| ~ aElement0(xn)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8675,c_52]) ).
tcf(c_9285,plain,
( aElementOf0(sdtpldt0(sz10,xn),xJ)
| ~ aElementOf0(xn,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8675,c_954]) ).
tcf(c_9286,plain,
( aElementOf0(sdtpldt0(sz10,xn),xI)
| ~ aElementOf0(xn,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8675,c_930]) ).
tcf(c_9287,plain,
aElement0(sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_9284,c_2671,c_50]) ).
tcf(c_9291,plain,
( aElementOf0(sdtpldt0(sz10,xn),xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9285,c_108]) ).
tcf(c_9294,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_3257]) ).
tcf(c_9295,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_3256]) ).
tcf(c_9296,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,xn))) = smndt0(sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_2598]) ).
tcf(c_9297,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xn)),sz10) = smndt0(sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_2587]) ).
tcf(c_9298,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,xn))) = smndt0(sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_2576]) ).
tcf(c_9299,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xn)),sz00) = smndt0(sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_2565]) ).
tcf(c_9300,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,xn))) = sz00,
inference(superposition,[status(thm)],[c_9287,c_2644]) ).
tcf(c_9301,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9287,c_2633]) ).
tcf(c_9302,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtasdt0(X1,sdtpldt0(sz10,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xn)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9287,c_65]) ).
tcf(c_9303,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtasdt0(sdtpldt0(sz10,xn),X1)) = sdtasdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9287,c_64]) ).
tcf(c_9304,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),X1) = sdtasdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9287,c_61]) ).
tcf(c_9305,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xn),X0),X1) = sdtpldt0(sdtpldt0(sz10,xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9287,c_55]) ).
tcf(c_9306,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xn),X0) = sdtasdt0(X0,sdtpldt0(sz10,xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9287,c_60]) ).
tcf(c_9307,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xn),X0) = sdtpldt0(X0,sdtpldt0(sz10,xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9287,c_54]) ).
tcf(c_9308,plain,
sdtasdt0(sdtpldt0(sz10,xn),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_67]) ).
tcf(c_9309,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xn)) = smndt0(sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_66]) ).
tcf(c_9310,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn)) = sz00,
inference(superposition,[status(thm)],[c_9287,c_59]) ).
tcf(c_9311,plain,
sdtpldt0(sdtpldt0(sz10,xn),smndt0(sdtpldt0(sz10,xn))) = sz00,
inference(superposition,[status(thm)],[c_9287,c_58]) ).
tcf(c_9312,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xn)) = sz00,
inference(superposition,[status(thm)],[c_9287,c_69]) ).
tcf(c_9313,plain,
sdtasdt0(sdtpldt0(sz10,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_9287,c_68]) ).
tcf(c_9314,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_9287,c_63]) ).
tcf(c_9315,plain,
sdtasdt0(sdtpldt0(sz10,xn),sz10) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_9287,c_62]) ).
tcf(c_9316,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_9287,c_57]) ).
tcf(c_9317,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz00) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_9287,c_56]) ).
tcf(c_9339,plain,
( aElement0(sdtpldt0(sz10,xx))
| ~ aElement0(xx)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8680,c_52]) ).
tcf(c_9340,plain,
( aElementOf0(sdtpldt0(sz10,xx),xJ)
| ~ aElementOf0(xx,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8680,c_954]) ).
tcf(c_9341,plain,
( aElementOf0(sdtpldt0(sz10,xx),xI)
| ~ aElementOf0(xx,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8680,c_930]) ).
tcf(c_9342,plain,
aElement0(sdtpldt0(sz10,xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_9339,c_2826,c_50]) ).
tcf(c_9349,plain,
sdtpldt0(sdtpldt0(sz10,xx),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_3257]) ).
tcf(c_9350,plain,
sdtpldt0(sdtpldt0(sz10,xx),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_3256]) ).
tcf(c_9351,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,xx))) = smndt0(sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_2598]) ).
tcf(c_9352,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xx)),sz10) = smndt0(sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_2587]) ).
tcf(c_9353,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,xx))) = smndt0(sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_2576]) ).
tcf(c_9354,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xx)),sz00) = smndt0(sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_2565]) ).
tcf(c_9355,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,xx))) = sz00,
inference(superposition,[status(thm)],[c_9342,c_2644]) ).
tcf(c_9356,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xx)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9342,c_2633]) ).
tcf(c_9357,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xx)),sdtasdt0(X1,sdtpldt0(sz10,xx))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xx)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9342,c_65]) ).
tcf(c_9358,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xx),X0),sdtasdt0(sdtpldt0(sz10,xx),X1)) = sdtasdt0(sdtpldt0(sz10,xx),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9342,c_64]) ).
tcf(c_9359,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xx),X0),X1) = sdtasdt0(sdtpldt0(sz10,xx),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9342,c_61]) ).
tcf(c_9360,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xx),X0),X1) = sdtpldt0(sdtpldt0(sz10,xx),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9342,c_55]) ).
tcf(c_9361,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xx),X0) = sdtasdt0(X0,sdtpldt0(sz10,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9342,c_60]) ).
tcf(c_9362,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xx),X0) = sdtpldt0(X0,sdtpldt0(sz10,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9342,c_54]) ).
tcf(c_9363,plain,
sdtasdt0(sdtpldt0(sz10,xx),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_67]) ).
tcf(c_9364,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xx)) = smndt0(sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_66]) ).
tcf(c_9365,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xx)),sdtpldt0(sz10,xx)) = sz00,
inference(superposition,[status(thm)],[c_9342,c_59]) ).
tcf(c_9366,plain,
sdtpldt0(sdtpldt0(sz10,xx),smndt0(sdtpldt0(sz10,xx))) = sz00,
inference(superposition,[status(thm)],[c_9342,c_58]) ).
tcf(c_9367,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xx)) = sz00,
inference(superposition,[status(thm)],[c_9342,c_69]) ).
tcf(c_9368,plain,
sdtasdt0(sdtpldt0(sz10,xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_9342,c_68]) ).
tcf(c_9369,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xx)) = sdtpldt0(sz10,xx),
inference(superposition,[status(thm)],[c_9342,c_63]) ).
tcf(c_9370,plain,
sdtasdt0(sdtpldt0(sz10,xx),sz10) = sdtpldt0(sz10,xx),
inference(superposition,[status(thm)],[c_9342,c_62]) ).
tcf(c_9371,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xx)) = sdtpldt0(sz10,xx),
inference(superposition,[status(thm)],[c_9342,c_57]) ).
tcf(c_9372,plain,
sdtpldt0(sdtpldt0(sz10,xx),sz00) = sdtpldt0(sz10,xx),
inference(superposition,[status(thm)],[c_9342,c_56]) ).
tcf(c_9452,plain,
( aElement0(sdtpldt0(sz10,xy))
| ~ aElement0(xy)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8681,c_52]) ).
tcf(c_9453,plain,
( aElementOf0(sdtpldt0(sz10,xy),xJ)
| ~ aElementOf0(xy,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8681,c_954]) ).
tcf(c_9454,plain,
( aElementOf0(sdtpldt0(sz10,xy),xI)
| ~ aElementOf0(xy,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8681,c_930]) ).
tcf(c_9455,plain,
aElement0(sdtpldt0(sz10,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_9452,c_2842,c_50]) ).
tcf(c_9462,plain,
sdtpldt0(sdtpldt0(sz10,xy),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_3257]) ).
tcf(c_9463,plain,
sdtpldt0(sdtpldt0(sz10,xy),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_3256]) ).
tcf(c_9464,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,xy))) = smndt0(sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_2598]) ).
tcf(c_9465,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xy)),sz10) = smndt0(sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_2587]) ).
tcf(c_9466,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,xy))) = smndt0(sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_2576]) ).
tcf(c_9467,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xy)),sz00) = smndt0(sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_2565]) ).
tcf(c_9468,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,xy))) = sz00,
inference(superposition,[status(thm)],[c_9455,c_2644]) ).
tcf(c_9469,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9455,c_2633]) ).
tcf(c_9470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xy)),sdtasdt0(X1,sdtpldt0(sz10,xy))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xy)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9455,c_65]) ).
tcf(c_9471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xy),X0),sdtasdt0(sdtpldt0(sz10,xy),X1)) = sdtasdt0(sdtpldt0(sz10,xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9455,c_64]) ).
tcf(c_9472,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xy),X0),X1) = sdtasdt0(sdtpldt0(sz10,xy),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9455,c_61]) ).
tcf(c_9473,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xy),X0),X1) = sdtpldt0(sdtpldt0(sz10,xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9455,c_55]) ).
tcf(c_9474,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xy),X0) = sdtasdt0(X0,sdtpldt0(sz10,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9455,c_60]) ).
tcf(c_9475,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xy),X0) = sdtpldt0(X0,sdtpldt0(sz10,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9455,c_54]) ).
tcf(c_9476,plain,
sdtasdt0(sdtpldt0(sz10,xy),smndt0(sz10)) = smndt0(sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_67]) ).
tcf(c_9477,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xy)) = smndt0(sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_66]) ).
tcf(c_9478,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,xy)),sdtpldt0(sz10,xy)) = sz00,
inference(superposition,[status(thm)],[c_9455,c_59]) ).
tcf(c_9479,plain,
sdtpldt0(sdtpldt0(sz10,xy),smndt0(sdtpldt0(sz10,xy))) = sz00,
inference(superposition,[status(thm)],[c_9455,c_58]) ).
tcf(c_9480,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xy)) = sz00,
inference(superposition,[status(thm)],[c_9455,c_69]) ).
tcf(c_9481,plain,
sdtasdt0(sdtpldt0(sz10,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_9455,c_68]) ).
tcf(c_9482,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xy)) = sdtpldt0(sz10,xy),
inference(superposition,[status(thm)],[c_9455,c_63]) ).
tcf(c_9483,plain,
sdtasdt0(sdtpldt0(sz10,xy),sz10) = sdtpldt0(sz10,xy),
inference(superposition,[status(thm)],[c_9455,c_62]) ).
tcf(c_9484,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xy)) = sdtpldt0(sz10,xy),
inference(superposition,[status(thm)],[c_9455,c_57]) ).
tcf(c_9485,plain,
sdtpldt0(sdtpldt0(sz10,xy),sz00) = sdtpldt0(sz10,xy),
inference(superposition,[status(thm)],[c_9455,c_56]) ).
tcf(c_9586,plain,
( aElement0(sdtpldt0(iPr_def_10,sz10))
| ~ aElement0(iPr_def_10)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8682,c_52]) ).
tcf(c_9587,plain,
( aElementOf0(sdtpldt0(iPr_def_10,sz10),xJ)
| ~ aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8682,c_954]) ).
tcf(c_9588,plain,
( aElementOf0(sdtpldt0(iPr_def_10,sz10),xI)
| ~ aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8682,c_930]) ).
tcf(c_9589,plain,
aElement0(sdtpldt0(iPr_def_10,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_9586,c_3184,c_50]) ).
tcf(c_9596,plain,
sdtpldt0(sdtpldt0(iPr_def_10,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_3257]) ).
tcf(c_9597,plain,
sdtpldt0(sdtpldt0(iPr_def_10,sz10),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_3256]) ).
tcf(c_9598,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_10,sz10))) = smndt0(sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_2598]) ).
tcf(c_9599,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,sz10)),sz10) = smndt0(sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_2587]) ).
tcf(c_9600,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_10,sz10))) = smndt0(sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_2576]) ).
tcf(c_9601,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,sz10)),sz00) = smndt0(sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_2565]) ).
tcf(c_9602,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_10,sz10))) = sz00,
inference(superposition,[status(thm)],[c_9589,c_2644]) ).
tcf(c_9603,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,sz10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9589,c_2633]) ).
tcf(c_9604,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_10,sz10)),sdtasdt0(X1,sdtpldt0(iPr_def_10,sz10))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_10,sz10)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9589,c_65]) ).
tcf(c_9605,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_10,sz10),X0),sdtasdt0(sdtpldt0(iPr_def_10,sz10),X1)) = sdtasdt0(sdtpldt0(iPr_def_10,sz10),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9589,c_64]) ).
tcf(c_9606,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_10,sz10),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_10,sz10),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9589,c_61]) ).
tcf(c_9607,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_10,sz10),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_10,sz10),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9589,c_55]) ).
tcf(c_9608,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_10,sz10),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_10,sz10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9589,c_60]) ).
tcf(c_9609,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_10,sz10),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_10,sz10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9589,c_54]) ).
tcf(c_9610,plain,
sdtasdt0(sdtpldt0(iPr_def_10,sz10),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_67]) ).
tcf(c_9611,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_10,sz10)) = smndt0(sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_66]) ).
tcf(c_9612,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,sz10)),sdtpldt0(iPr_def_10,sz10)) = sz00,
inference(superposition,[status(thm)],[c_9589,c_59]) ).
tcf(c_9613,plain,
sdtpldt0(sdtpldt0(iPr_def_10,sz10),smndt0(sdtpldt0(iPr_def_10,sz10))) = sz00,
inference(superposition,[status(thm)],[c_9589,c_58]) ).
tcf(c_9614,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_10,sz10)) = sz00,
inference(superposition,[status(thm)],[c_9589,c_69]) ).
tcf(c_9615,plain,
sdtasdt0(sdtpldt0(iPr_def_10,sz10),sz00) = sz00,
inference(superposition,[status(thm)],[c_9589,c_68]) ).
tcf(c_9616,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_10,sz10)) = sdtpldt0(iPr_def_10,sz10),
inference(superposition,[status(thm)],[c_9589,c_63]) ).
tcf(c_9617,plain,
sdtasdt0(sdtpldt0(iPr_def_10,sz10),sz10) = sdtpldt0(iPr_def_10,sz10),
inference(superposition,[status(thm)],[c_9589,c_62]) ).
tcf(c_9618,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_10,sz10)) = sdtpldt0(iPr_def_10,sz10),
inference(superposition,[status(thm)],[c_9589,c_57]) ).
tcf(c_9619,plain,
sdtpldt0(sdtpldt0(iPr_def_10,sz10),sz00) = sdtpldt0(iPr_def_10,sz10),
inference(superposition,[status(thm)],[c_9589,c_56]) ).
tcf(c_9695,plain,
( aElement0(sdtpldt0(iPr_def_12,sz10))
| ~ aElement0(iPr_def_12)
| ~ aElement0(sz10) ),
inference(superposition,[status(thm)],[c_8683,c_52]) ).
tcf(c_9696,plain,
( aElementOf0(sdtpldt0(iPr_def_12,sz10),xJ)
| ~ aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(sz10,xJ) ),
inference(superposition,[status(thm)],[c_8683,c_954]) ).
tcf(c_9697,plain,
( aElementOf0(sdtpldt0(iPr_def_12,sz10),xI)
| ~ aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(sz10,xI) ),
inference(superposition,[status(thm)],[c_8683,c_930]) ).
tcf(c_9698,plain,
aElement0(sdtpldt0(iPr_def_12,sz10)),
inference(forward_subsumption_resolution,[status(thm)],[c_9695,c_2900,c_50]) ).
tcf(c_9705,plain,
sdtpldt0(sdtpldt0(iPr_def_12,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_3257]) ).
tcf(c_9706,plain,
sdtpldt0(sdtpldt0(iPr_def_12,sz10),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_3256]) ).
tcf(c_9707,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_12,sz10))) = smndt0(sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_2598]) ).
tcf(c_9708,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,sz10)),sz10) = smndt0(sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_2587]) ).
tcf(c_9709,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_12,sz10))) = smndt0(sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_2576]) ).
tcf(c_9710,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,sz10)),sz00) = smndt0(sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_2565]) ).
tcf(c_9711,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_12,sz10))) = sz00,
inference(superposition,[status(thm)],[c_9698,c_2644]) ).
tcf(c_9712,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,sz10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_9698,c_2633]) ).
tcf(c_9713,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_12,sz10)),sdtasdt0(X1,sdtpldt0(iPr_def_12,sz10))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_12,sz10)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9698,c_65]) ).
tcf(c_9714,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_12,sz10),X0),sdtasdt0(sdtpldt0(iPr_def_12,sz10),X1)) = sdtasdt0(sdtpldt0(iPr_def_12,sz10),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9698,c_64]) ).
tcf(c_9715,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_12,sz10),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_12,sz10),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9698,c_61]) ).
tcf(c_9716,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_12,sz10),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_12,sz10),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9698,c_55]) ).
tcf(c_9717,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_12,sz10),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_12,sz10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9698,c_60]) ).
tcf(c_9718,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_12,sz10),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_12,sz10)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9698,c_54]) ).
tcf(c_9719,plain,
sdtasdt0(sdtpldt0(iPr_def_12,sz10),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_67]) ).
tcf(c_9720,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_12,sz10)) = smndt0(sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_66]) ).
tcf(c_9721,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,sz10)),sdtpldt0(iPr_def_12,sz10)) = sz00,
inference(superposition,[status(thm)],[c_9698,c_59]) ).
tcf(c_9722,plain,
sdtpldt0(sdtpldt0(iPr_def_12,sz10),smndt0(sdtpldt0(iPr_def_12,sz10))) = sz00,
inference(superposition,[status(thm)],[c_9698,c_58]) ).
tcf(c_9723,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_12,sz10)) = sz00,
inference(superposition,[status(thm)],[c_9698,c_69]) ).
tcf(c_9724,plain,
sdtasdt0(sdtpldt0(iPr_def_12,sz10),sz00) = sz00,
inference(superposition,[status(thm)],[c_9698,c_68]) ).
tcf(c_9725,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_12,sz10)) = sdtpldt0(iPr_def_12,sz10),
inference(superposition,[status(thm)],[c_9698,c_63]) ).
tcf(c_9726,plain,
sdtasdt0(sdtpldt0(iPr_def_12,sz10),sz10) = sdtpldt0(iPr_def_12,sz10),
inference(superposition,[status(thm)],[c_9698,c_62]) ).
tcf(c_9727,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_12,sz10)) = sdtpldt0(iPr_def_12,sz10),
inference(superposition,[status(thm)],[c_9698,c_57]) ).
tcf(c_9728,plain,
sdtpldt0(sdtpldt0(iPr_def_12,sz10),sz00) = sdtpldt0(iPr_def_12,sz10),
inference(superposition,[status(thm)],[c_9698,c_56]) ).
tcf(c_10022,plain,
( aElement0(sdtpldt0(sz10,smndt0(xz)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(xz)) ),
inference(superposition,[status(thm)],[c_8684,c_52]) ).
tcf(c_10023,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xz)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(xz),xJ) ),
inference(superposition,[status(thm)],[c_8684,c_954]) ).
tcf(c_10024,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xz)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(xz),xI) ),
inference(superposition,[status(thm)],[c_8684,c_930]) ).
tcf(c_10025,plain,
aElement0(sdtpldt0(sz10,smndt0(xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_10022,c_50,c_5066]) ).
tcf(c_10087,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xz)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_3257]) ).
tcf(c_10088,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xz)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_3256]) ).
tcf(c_10089,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xz)))) = smndt0(sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_2598]) ).
tcf(c_10090,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xz))),sz10) = smndt0(sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_2587]) ).
tcf(c_10091,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xz)))) = smndt0(sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_2576]) ).
tcf(c_10092,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xz))),sz00) = smndt0(sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_2565]) ).
tcf(c_10093,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xz)))) = sz00,
inference(superposition,[status(thm)],[c_10025,c_2644]) ).
tcf(c_10094,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xz))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10025,c_2633]) ).
tcf(c_10095,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(xz))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(xz)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10025,c_65]) ).
tcf(c_10096,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xz)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(xz)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10025,c_64]) ).
tcf(c_10097,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(xz)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(xz)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10025,c_61]) ).
tcf(c_10098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(xz)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10025,c_55]) ).
tcf(c_10099,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(xz)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10025,c_60]) ).
tcf(c_10100,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(xz)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10025,c_54]) ).
tcf(c_10101,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xz)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_67]) ).
tcf(c_10102,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xz))) = smndt0(sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_66]) ).
tcf(c_10103,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xz))),sdtpldt0(sz10,smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_10025,c_59]) ).
tcf(c_10104,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xz)),smndt0(sdtpldt0(sz10,smndt0(xz)))) = sz00,
inference(superposition,[status(thm)],[c_10025,c_58]) ).
tcf(c_10105,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_10025,c_69]) ).
tcf(c_10106,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10025,c_68]) ).
tcf(c_10107,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(xz))) = sdtpldt0(sz10,smndt0(xz)),
inference(superposition,[status(thm)],[c_10025,c_63]) ).
tcf(c_10108,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xz)),sz10) = sdtpldt0(sz10,smndt0(xz)),
inference(superposition,[status(thm)],[c_10025,c_62]) ).
tcf(c_10109,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xz))) = sdtpldt0(sz10,smndt0(xz)),
inference(superposition,[status(thm)],[c_10025,c_57]) ).
tcf(c_10110,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xz)),sz00) = sdtpldt0(sz10,smndt0(xz)),
inference(superposition,[status(thm)],[c_10025,c_56]) ).
tcf(c_10211,plain,
( aElement0(sdtpldt0(sz10,smndt0(xk)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(xk)) ),
inference(superposition,[status(thm)],[c_8685,c_52]) ).
tcf(c_10212,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xk)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(xk),xJ) ),
inference(superposition,[status(thm)],[c_8685,c_954]) ).
tcf(c_10213,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xk)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(xk),xI) ),
inference(superposition,[status(thm)],[c_8685,c_930]) ).
tcf(c_10214,plain,
aElement0(sdtpldt0(sz10,smndt0(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_10211,c_50,c_5206]) ).
tcf(c_10221,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xk)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_3257]) ).
tcf(c_10222,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xk)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_3256]) ).
tcf(c_10223,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xk)))) = smndt0(sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_2598]) ).
tcf(c_10224,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xk))),sz10) = smndt0(sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_2587]) ).
tcf(c_10225,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xk)))) = smndt0(sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_2576]) ).
tcf(c_10226,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xk))),sz00) = smndt0(sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_2565]) ).
tcf(c_10227,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xk)))) = sz00,
inference(superposition,[status(thm)],[c_10214,c_2644]) ).
tcf(c_10228,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xk))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10214,c_2633]) ).
tcf(c_10229,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(xk))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(xk)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(xk))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10214,c_65]) ).
tcf(c_10230,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xk)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(xk)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10214,c_64]) ).
tcf(c_10231,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(xk)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(xk)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10214,c_61]) ).
tcf(c_10232,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(xk)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10214,c_55]) ).
tcf(c_10233,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(xk)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xk))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10214,c_60]) ).
tcf(c_10234,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(xk)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xk))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10214,c_54]) ).
tcf(c_10235,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xk)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_67]) ).
tcf(c_10236,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xk))) = smndt0(sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_66]) ).
tcf(c_10237,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xk))),sdtpldt0(sz10,smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_10214,c_59]) ).
tcf(c_10238,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xk)),smndt0(sdtpldt0(sz10,smndt0(xk)))) = sz00,
inference(superposition,[status(thm)],[c_10214,c_58]) ).
tcf(c_10239,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_10214,c_69]) ).
tcf(c_10240,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10214,c_68]) ).
tcf(c_10241,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(xk))) = sdtpldt0(sz10,smndt0(xk)),
inference(superposition,[status(thm)],[c_10214,c_63]) ).
tcf(c_10242,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xk)),sz10) = sdtpldt0(sz10,smndt0(xk)),
inference(superposition,[status(thm)],[c_10214,c_62]) ).
tcf(c_10243,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xk))) = sdtpldt0(sz10,smndt0(xk)),
inference(superposition,[status(thm)],[c_10214,c_57]) ).
tcf(c_10244,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xk)),sz00) = sdtpldt0(sz10,smndt0(xk)),
inference(superposition,[status(thm)],[c_10214,c_56]) ).
tcf(c_10403,plain,
( aElement0(sdtpldt0(sz10,smndt0(xl)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(xl)) ),
inference(superposition,[status(thm)],[c_8686,c_52]) ).
tcf(c_10404,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xl)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(xl),xJ) ),
inference(superposition,[status(thm)],[c_8686,c_954]) ).
tcf(c_10405,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xl)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(xl),xI) ),
inference(superposition,[status(thm)],[c_8686,c_930]) ).
tcf(c_10406,plain,
aElement0(sdtpldt0(sz10,smndt0(xl))),
inference(forward_subsumption_resolution,[status(thm)],[c_10403,c_50,c_5270]) ).
tcf(c_10413,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xl)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_3257]) ).
tcf(c_10414,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_3256]) ).
tcf(c_10415,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xl)))) = smndt0(sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_2598]) ).
tcf(c_10416,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xl))),sz10) = smndt0(sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_2587]) ).
tcf(c_10417,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xl)))) = smndt0(sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_2576]) ).
tcf(c_10418,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xl))),sz00) = smndt0(sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_2565]) ).
tcf(c_10419,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xl)))) = sz00,
inference(superposition,[status(thm)],[c_10406,c_2644]) ).
tcf(c_10420,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10406,c_2633]) ).
tcf(c_10421,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(xl))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(xl))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10406,c_65]) ).
tcf(c_10422,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xl)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(xl)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10406,c_64]) ).
tcf(c_10423,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(xl)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(xl)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10406,c_61]) ).
tcf(c_10424,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(xl)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10406,c_55]) ).
tcf(c_10425,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(xl)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xl))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10406,c_60]) ).
tcf(c_10426,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(xl)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xl))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10406,c_54]) ).
tcf(c_10427,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xl)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_67]) ).
tcf(c_10428,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xl))) = smndt0(sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_66]) ).
tcf(c_10429,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xl))),sdtpldt0(sz10,smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_10406,c_59]) ).
tcf(c_10430,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xl)),smndt0(sdtpldt0(sz10,smndt0(xl)))) = sz00,
inference(superposition,[status(thm)],[c_10406,c_58]) ).
tcf(c_10431,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_10406,c_69]) ).
tcf(c_10432,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10406,c_68]) ).
tcf(c_10433,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(xl))) = sdtpldt0(sz10,smndt0(xl)),
inference(superposition,[status(thm)],[c_10406,c_63]) ).
tcf(c_10434,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xl)),sz10) = sdtpldt0(sz10,smndt0(xl)),
inference(superposition,[status(thm)],[c_10406,c_62]) ).
tcf(c_10435,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xl))) = sdtpldt0(sz10,smndt0(xl)),
inference(superposition,[status(thm)],[c_10406,c_57]) ).
tcf(c_10436,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xl)),sz00) = sdtpldt0(sz10,smndt0(xl)),
inference(superposition,[status(thm)],[c_10406,c_56]) ).
tcf(c_10568,plain,
( aElement0(sdtpldt0(sz10,smndt0(xm)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_8687,c_52]) ).
tcf(c_10569,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xm)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(xm),xJ) ),
inference(superposition,[status(thm)],[c_8687,c_954]) ).
tcf(c_10570,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xm)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(xm),xI) ),
inference(superposition,[status(thm)],[c_8687,c_930]) ).
tcf(c_10571,plain,
aElement0(sdtpldt0(sz10,smndt0(xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_10568,c_50,c_5356]) ).
tcf(c_10622,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xm)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_3257]) ).
tcf(c_10623,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_3256]) ).
tcf(c_10624,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xm)))) = smndt0(sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_2598]) ).
tcf(c_10625,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xm))),sz10) = smndt0(sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_2587]) ).
tcf(c_10626,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xm)))) = smndt0(sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_2576]) ).
tcf(c_10627,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xm))),sz00) = smndt0(sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_2565]) ).
tcf(c_10628,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_10571,c_2644]) ).
tcf(c_10629,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10571,c_2633]) ).
tcf(c_10630,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(xm))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(xm))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10571,c_65]) ).
tcf(c_10631,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xm)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(xm)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10571,c_64]) ).
tcf(c_10632,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(xm)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10571,c_61]) ).
tcf(c_10633,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(xm)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10571,c_55]) ).
tcf(c_10634,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(xm)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xm))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10571,c_60]) ).
tcf(c_10635,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(xm)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xm))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10571,c_54]) ).
tcf(c_10636,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xm)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_67]) ).
tcf(c_10637,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xm))) = smndt0(sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_66]) ).
tcf(c_10638,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xm))),sdtpldt0(sz10,smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_10571,c_59]) ).
tcf(c_10639,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xm)),smndt0(sdtpldt0(sz10,smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_10571,c_58]) ).
tcf(c_10640,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_10571,c_69]) ).
tcf(c_10641,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10571,c_68]) ).
tcf(c_10642,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(xm))) = sdtpldt0(sz10,smndt0(xm)),
inference(superposition,[status(thm)],[c_10571,c_63]) ).
tcf(c_10643,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xm)),sz10) = sdtpldt0(sz10,smndt0(xm)),
inference(superposition,[status(thm)],[c_10571,c_62]) ).
tcf(c_10644,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xm))) = sdtpldt0(sz10,smndt0(xm)),
inference(superposition,[status(thm)],[c_10571,c_57]) ).
tcf(c_10645,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xm)),sz00) = sdtpldt0(sz10,smndt0(xm)),
inference(superposition,[status(thm)],[c_10571,c_56]) ).
tcf(c_10671,plain,
( aElement0(sdtpldt0(sz10,smndt0(xn)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(xn)) ),
inference(superposition,[status(thm)],[c_8688,c_52]) ).
tcf(c_10672,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xn)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(xn),xJ) ),
inference(superposition,[status(thm)],[c_8688,c_954]) ).
tcf(c_10673,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xn)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(xn),xI) ),
inference(superposition,[status(thm)],[c_8688,c_930]) ).
tcf(c_10674,plain,
aElement0(sdtpldt0(sz10,smndt0(xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_10671,c_50,c_5445]) ).
tcf(c_10681,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xn)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_3257]) ).
tcf(c_10682,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_3256]) ).
tcf(c_10683,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xn)))) = smndt0(sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_2598]) ).
tcf(c_10684,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xn))),sz10) = smndt0(sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_2587]) ).
tcf(c_10685,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xn)))) = smndt0(sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_2576]) ).
tcf(c_10686,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xn))),sz00) = smndt0(sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_2565]) ).
tcf(c_10687,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_10674,c_2644]) ).
tcf(c_10688,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10674,c_2633]) ).
tcf(c_10689,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(xn))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(xn))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10674,c_65]) ).
tcf(c_10690,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xn)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(xn)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10674,c_64]) ).
tcf(c_10691,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(xn)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(xn)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10674,c_61]) ).
tcf(c_10692,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(xn)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10674,c_55]) ).
tcf(c_10693,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(xn)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10674,c_60]) ).
tcf(c_10694,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(xn)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10674,c_54]) ).
tcf(c_10695,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xn)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_67]) ).
tcf(c_10696,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xn))) = smndt0(sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_66]) ).
tcf(c_10697,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xn))),sdtpldt0(sz10,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_10674,c_59]) ).
tcf(c_10698,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xn)),smndt0(sdtpldt0(sz10,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_10674,c_58]) ).
tcf(c_10699,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_10674,c_69]) ).
tcf(c_10700,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10674,c_68]) ).
tcf(c_10701,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(xn))) = sdtpldt0(sz10,smndt0(xn)),
inference(superposition,[status(thm)],[c_10674,c_63]) ).
tcf(c_10702,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xn)),sz10) = sdtpldt0(sz10,smndt0(xn)),
inference(superposition,[status(thm)],[c_10674,c_62]) ).
tcf(c_10703,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xn))) = sdtpldt0(sz10,smndt0(xn)),
inference(superposition,[status(thm)],[c_10674,c_57]) ).
tcf(c_10704,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xn)),sz00) = sdtpldt0(sz10,smndt0(xn)),
inference(superposition,[status(thm)],[c_10674,c_56]) ).
tcf(c_10780,plain,
( aElement0(sdtpldt0(sz10,smndt0(xx)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(xx)) ),
inference(superposition,[status(thm)],[c_8689,c_52]) ).
tcf(c_10781,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xx)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(xx),xJ) ),
inference(superposition,[status(thm)],[c_8689,c_954]) ).
tcf(c_10782,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xx)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(xx),xI) ),
inference(superposition,[status(thm)],[c_8689,c_930]) ).
tcf(c_10783,plain,
aElement0(sdtpldt0(sz10,smndt0(xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_10780,c_50,c_5528]) ).
tcf(c_10790,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xx)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_3257]) ).
tcf(c_10791,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xx)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_3256]) ).
tcf(c_10792,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xx)))) = smndt0(sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_2598]) ).
tcf(c_10793,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xx))),sz10) = smndt0(sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_2587]) ).
tcf(c_10794,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xx)))) = smndt0(sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_2576]) ).
tcf(c_10795,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xx))),sz00) = smndt0(sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_2565]) ).
tcf(c_10796,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xx)))) = sz00,
inference(superposition,[status(thm)],[c_10783,c_2644]) ).
tcf(c_10797,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xx))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10783,c_2633]) ).
tcf(c_10798,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(xx))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(xx)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10783,c_65]) ).
tcf(c_10799,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xx)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(xx)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10783,c_64]) ).
tcf(c_10800,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(xx)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(xx)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10783,c_61]) ).
tcf(c_10801,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(xx)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10783,c_55]) ).
tcf(c_10802,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(xx)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10783,c_60]) ).
tcf(c_10803,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(xx)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10783,c_54]) ).
tcf(c_10804,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xx)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_67]) ).
tcf(c_10805,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xx))) = smndt0(sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_66]) ).
tcf(c_10806,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xx))),sdtpldt0(sz10,smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_10783,c_59]) ).
tcf(c_10807,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xx)),smndt0(sdtpldt0(sz10,smndt0(xx)))) = sz00,
inference(superposition,[status(thm)],[c_10783,c_58]) ).
tcf(c_10808,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_10783,c_69]) ).
tcf(c_10809,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xx)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10783,c_68]) ).
tcf(c_10810,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(xx))) = sdtpldt0(sz10,smndt0(xx)),
inference(superposition,[status(thm)],[c_10783,c_63]) ).
tcf(c_10811,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xx)),sz10) = sdtpldt0(sz10,smndt0(xx)),
inference(superposition,[status(thm)],[c_10783,c_62]) ).
tcf(c_10812,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xx))) = sdtpldt0(sz10,smndt0(xx)),
inference(superposition,[status(thm)],[c_10783,c_57]) ).
tcf(c_10813,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xx)),sz00) = sdtpldt0(sz10,smndt0(xx)),
inference(superposition,[status(thm)],[c_10783,c_56]) ).
tcf(c_10958,plain,
( aElement0(sdtpldt0(sz10,smndt0(xy)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(xy)) ),
inference(superposition,[status(thm)],[c_8690,c_52]) ).
tcf(c_10959,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xy)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(xy),xJ) ),
inference(superposition,[status(thm)],[c_8690,c_954]) ).
tcf(c_10960,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xy)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(xy),xI) ),
inference(superposition,[status(thm)],[c_8690,c_930]) ).
tcf(c_10961,plain,
aElement0(sdtpldt0(sz10,smndt0(xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_10958,c_50,c_5604]) ).
tcf(c_10968,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xy)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_3257]) ).
tcf(c_10969,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xy)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_3256]) ).
tcf(c_10970,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(xy)))) = smndt0(sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_2598]) ).
tcf(c_10971,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xy))),sz10) = smndt0(sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_2587]) ).
tcf(c_10972,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xy)))) = smndt0(sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_2576]) ).
tcf(c_10973,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xy))),sz00) = smndt0(sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_2565]) ).
tcf(c_10974,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(xy)))) = sz00,
inference(superposition,[status(thm)],[c_10961,c_2644]) ).
tcf(c_10975,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(xy))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10961,c_2633]) ).
tcf(c_10976,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(xy))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(xy)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10961,c_65]) ).
tcf(c_10977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(xy)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(xy)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10961,c_64]) ).
tcf(c_10978,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(xy)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(xy)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10961,c_61]) ).
tcf(c_10979,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(xy)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10961,c_55]) ).
tcf(c_10980,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(xy)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10961,c_60]) ).
tcf(c_10981,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(xy)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10961,c_54]) ).
tcf(c_10982,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xy)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_67]) ).
tcf(c_10983,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xy))) = smndt0(sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_66]) ).
tcf(c_10984,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(xy))),sdtpldt0(sz10,smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_10961,c_59]) ).
tcf(c_10985,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xy)),smndt0(sdtpldt0(sz10,smndt0(xy)))) = sz00,
inference(superposition,[status(thm)],[c_10961,c_58]) ).
tcf(c_10986,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_10961,c_69]) ).
tcf(c_10987,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10961,c_68]) ).
tcf(c_10988,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(xy))) = sdtpldt0(sz10,smndt0(xy)),
inference(superposition,[status(thm)],[c_10961,c_63]) ).
tcf(c_10989,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(xy)),sz10) = sdtpldt0(sz10,smndt0(xy)),
inference(superposition,[status(thm)],[c_10961,c_62]) ).
tcf(c_10990,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(xy))) = sdtpldt0(sz10,smndt0(xy)),
inference(superposition,[status(thm)],[c_10961,c_57]) ).
tcf(c_10991,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xy)),sz00) = sdtpldt0(sz10,smndt0(xy)),
inference(superposition,[status(thm)],[c_10961,c_56]) ).
tcf(c_11053,plain,
( aElement0(sdtpldt0(sz10,smndt0(iPr_def_12)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_8691,c_52]) ).
tcf(c_11054,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(iPr_def_12)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(iPr_def_12),xJ) ),
inference(superposition,[status(thm)],[c_8691,c_954]) ).
tcf(c_11055,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(iPr_def_12)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(iPr_def_12),xI) ),
inference(superposition,[status(thm)],[c_8691,c_930]) ).
tcf(c_11056,plain,
aElement0(sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(forward_subsumption_resolution,[status(thm)],[c_11053,c_50,c_5680]) ).
tcf(c_11067,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_3257]) ).
tcf(c_11068,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_3256]) ).
tcf(c_11069,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(iPr_def_12)))) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_2598]) ).
tcf(c_11070,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),sz10) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_2587]) ).
tcf(c_11071,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(iPr_def_12)))) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_2576]) ).
tcf(c_11072,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),sz00) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_2565]) ).
tcf(c_11073,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(iPr_def_12)))) = sz00,
inference(superposition,[status(thm)],[c_11056,c_2644]) ).
tcf(c_11074,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11056,c_2633]) ).
tcf(c_11075,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(iPr_def_12))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(iPr_def_12)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(iPr_def_12))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11056,c_65]) ).
tcf(c_11076,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11056,c_64]) ).
tcf(c_11077,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11056,c_61]) ).
tcf(c_11078,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11056,c_55]) ).
tcf(c_11079,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(iPr_def_12))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11056,c_60]) ).
tcf(c_11080,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(iPr_def_12))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11056,c_54]) ).
tcf(c_11081,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_67]) ).
tcf(c_11082,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(iPr_def_12))) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_66]) ).
tcf(c_11083,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(iPr_def_12))),sdtpldt0(sz10,smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_11056,c_59]) ).
tcf(c_11084,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),smndt0(sdtpldt0(sz10,smndt0(iPr_def_12)))) = sz00,
inference(superposition,[status(thm)],[c_11056,c_58]) ).
tcf(c_11085,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_11056,c_69]) ).
tcf(c_11086,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11056,c_68]) ).
tcf(c_11087,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(iPr_def_12))) = sdtpldt0(sz10,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_11056,c_63]) ).
tcf(c_11088,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_12)),sz10) = sdtpldt0(sz10,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_11056,c_62]) ).
tcf(c_11089,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(iPr_def_12))) = sdtpldt0(sz10,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_11056,c_57]) ).
tcf(c_11090,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),sz00) = sdtpldt0(sz10,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_11056,c_56]) ).
tcf(c_11243,plain,
( aElement0(sdtpldt0(sz10,smndt0(iPr_def_10)))
| ~ aElement0(sz10)
| ~ aElement0(smndt0(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_8692,c_52]) ).
tcf(c_11244,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(iPr_def_10)),xJ)
| ~ aElementOf0(sz10,xJ)
| ~ aElementOf0(smndt0(iPr_def_10),xJ) ),
inference(superposition,[status(thm)],[c_8692,c_954]) ).
tcf(c_11245,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(iPr_def_10)),xI)
| ~ aElementOf0(sz10,xI)
| ~ aElementOf0(smndt0(iPr_def_10),xI) ),
inference(superposition,[status(thm)],[c_8692,c_930]) ).
tcf(c_11246,plain,
aElement0(sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(forward_subsumption_resolution,[status(thm)],[c_11243,c_50,c_5796]) ).
tcf(c_11253,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_3257]) ).
tcf(c_11254,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_3256]) ).
tcf(c_11255,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(sz10,smndt0(iPr_def_10)))) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_2598]) ).
tcf(c_11256,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),sz10) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_2587]) ).
tcf(c_11257,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(sz10,smndt0(iPr_def_10)))) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_2576]) ).
tcf(c_11258,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),sz00) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_2565]) ).
tcf(c_11259,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(sz10,smndt0(iPr_def_10)))) = sz00,
inference(superposition,[status(thm)],[c_11246,c_2644]) ).
tcf(c_11260,plain,
sdtasdt0(smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11246,c_2633]) ).
tcf(c_11261,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,smndt0(iPr_def_10))),sdtasdt0(X1,sdtpldt0(sz10,smndt0(iPr_def_10)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,smndt0(iPr_def_10))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11246,c_65]) ).
tcf(c_11262,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),X0),sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),X1)) = sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11246,c_64]) ).
tcf(c_11263,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),X0),X1) = sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11246,c_61]) ).
tcf(c_11264,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),X0),X1) = sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11246,c_55]) ).
tcf(c_11265,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),X0) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(iPr_def_10))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11246,c_60]) ).
tcf(c_11266,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),X0) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(iPr_def_10))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11246,c_54]) ).
tcf(c_11267,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),smndt0(sz10)) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_67]) ).
tcf(c_11268,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(sz10,smndt0(iPr_def_10))) = smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_66]) ).
tcf(c_11269,plain,
sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(iPr_def_10))),sdtpldt0(sz10,smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_11246,c_59]) ).
tcf(c_11270,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),smndt0(sdtpldt0(sz10,smndt0(iPr_def_10)))) = sz00,
inference(superposition,[status(thm)],[c_11246,c_58]) ).
tcf(c_11271,plain,
sdtasdt0(sz00,sdtpldt0(sz10,smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_11246,c_69]) ).
tcf(c_11272,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11246,c_68]) ).
tcf(c_11273,plain,
sdtasdt0(sz10,sdtpldt0(sz10,smndt0(iPr_def_10))) = sdtpldt0(sz10,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_11246,c_63]) ).
tcf(c_11274,plain,
sdtasdt0(sdtpldt0(sz10,smndt0(iPr_def_10)),sz10) = sdtpldt0(sz10,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_11246,c_62]) ).
tcf(c_11275,plain,
sdtpldt0(sz00,sdtpldt0(sz10,smndt0(iPr_def_10))) = sdtpldt0(sz10,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_11246,c_57]) ).
tcf(c_11276,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),sz00) = sdtpldt0(sz10,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_11246,c_56]) ).
tcf(c_11527,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xz) = sdtpldt0(xz,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_3261]) ).
tcf(c_11528,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xz) = sdtpldt0(xz,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3261]) ).
tcf(c_11529,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xz) = sdtpldt0(xz,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3261]) ).
tcf(c_11531,plain,
sdtpldt0(xz,xk) = sdtpldt0(xk,xz),
inference(superposition,[status(thm)],[c_2674,c_3261]) ).
tcf(c_11532,plain,
sdtpldt0(xz,xl) = sdtpldt0(xl,xz),
inference(superposition,[status(thm)],[c_2673,c_3261]) ).
tcf(c_11533,plain,
sdtpldt0(xz,xm) = sdtpldt0(xm,xz),
inference(superposition,[status(thm)],[c_2672,c_3261]) ).
tcf(c_11534,plain,
sdtpldt0(xz,xn) = sdtpldt0(xn,xz),
inference(superposition,[status(thm)],[c_2671,c_3261]) ).
tcf(c_11535,plain,
sdtpldt0(sdtpldt0(xk,xm),xz) = sdtpldt0(xz,sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_3261]) ).
tcf(c_11536,plain,
sdtpldt0(sdtpldt0(xl,xn),xz) = sdtpldt0(xz,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_3261]) ).
tcf(c_11537,plain,
sdtpldt0(sdtasdt0(xz,xk),xz) = sdtpldt0(xz,sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_3261]) ).
tcf(c_11538,plain,
sdtpldt0(sdtasdt0(xz,xl),xz) = sdtpldt0(xz,sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_3261]) ).
tcf(c_11539,plain,
sdtpldt0(xx,xz) = sdtpldt0(xz,xx),
inference(superposition,[status(thm)],[c_2826,c_3261]) ).
tcf(c_11540,plain,
sdtpldt0(xy,xz) = sdtpldt0(xz,xy),
inference(superposition,[status(thm)],[c_2842,c_3261]) ).
tcf(c_11541,plain,
sdtpldt0(xz,iPr_def_10) = sdtpldt0(iPr_def_10,xz),
inference(superposition,[status(thm)],[c_3184,c_3261]) ).
tcf(c_11542,plain,
sdtpldt0(xz,iPr_def_12) = sdtpldt0(iPr_def_12,xz),
inference(superposition,[status(thm)],[c_2900,c_3261]) ).
tcf(c_11543,plain,
sdtpldt0(smndt0(xz),xz) = sdtpldt0(xz,smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_3261]) ).
tcf(c_11544,plain,
sdtpldt0(smndt0(xk),xz) = sdtpldt0(xz,smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_3261]) ).
tcf(c_11545,plain,
sdtpldt0(smndt0(xl),xz) = sdtpldt0(xz,smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_3261]) ).
tcf(c_11546,plain,
sdtpldt0(smndt0(xm),xz) = sdtpldt0(xz,smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_3261]) ).
tcf(c_11547,plain,
sdtpldt0(smndt0(xn),xz) = sdtpldt0(xz,smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_3261]) ).
tcf(c_11548,plain,
sdtpldt0(smndt0(xx),xz) = sdtpldt0(xz,smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_3261]) ).
tcf(c_11549,plain,
sdtpldt0(smndt0(xy),xz) = sdtpldt0(xz,smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_3261]) ).
tcf(c_11550,plain,
sdtpldt0(smndt0(iPr_def_12),xz) = sdtpldt0(xz,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_3261]) ).
tcf(c_11551,plain,
sdtpldt0(smndt0(iPr_def_10),xz) = sdtpldt0(xz,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_3261]) ).
tcf(c_11552,plain,
( ( sdtpldt0(smndt0(smndt0(xz)),xz) = sdtpldt0(xz,smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_3261]) ).
tcf(c_11553,plain,
( ( sdtpldt0(smndt0(smndt0(xk)),xz) = sdtpldt0(xz,smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_3261]) ).
tcf(c_11554,plain,
( ( sdtpldt0(smndt0(smndt0(xl)),xz) = sdtpldt0(xz,smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_3261]) ).
tcf(c_11555,plain,
( ( sdtpldt0(smndt0(smndt0(xm)),xz) = sdtpldt0(xz,smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_3261]) ).
tcf(c_11556,plain,
( ( sdtpldt0(smndt0(smndt0(xn)),xz) = sdtpldt0(xz,smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_3261]) ).
tcf(c_11557,plain,
( ( sdtpldt0(smndt0(smndt0(xx)),xz) = sdtpldt0(xz,smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_3261]) ).
tcf(c_11558,plain,
( ( sdtpldt0(smndt0(smndt0(xy)),xz) = sdtpldt0(xz,smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_3261]) ).
tcf(c_11559,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),xz) = sdtpldt0(xz,smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_3261]) ).
tcf(c_11560,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),xz) = sdtpldt0(xz,smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_3261]) ).
tcf(c_11561,plain,
sdtpldt0(sdtpldt0(xz,sz10),xz) = sdtpldt0(xz,sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_3261]) ).
tcf(c_11562,plain,
sdtpldt0(sdtpldt0(sz10,xk),xz) = sdtpldt0(xz,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_3261]) ).
tcf(c_11563,plain,
sdtpldt0(sdtpldt0(sz10,xl),xz) = sdtpldt0(xz,sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_3261]) ).
tcf(c_11564,plain,
sdtpldt0(sdtpldt0(sz10,xm),xz) = sdtpldt0(xz,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_3261]) ).
tcf(c_11565,plain,
sdtpldt0(sdtpldt0(sz10,xn),xz) = sdtpldt0(xz,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_3261]) ).
tcf(c_11566,plain,
sdtpldt0(sdtpldt0(sz10,xx),xz) = sdtpldt0(xz,sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_3261]) ).
tcf(c_11567,plain,
sdtpldt0(sdtpldt0(sz10,xy),xz) = sdtpldt0(xz,sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_3261]) ).
tcf(c_11568,plain,
sdtpldt0(sdtpldt0(iPr_def_10,sz10),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_3261]) ).
tcf(c_11569,plain,
sdtpldt0(sdtpldt0(iPr_def_12,sz10),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_3261]) ).
tcf(c_11570,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xz)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_3261]) ).
tcf(c_11571,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xk)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_3261]) ).
tcf(c_11572,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xl)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_3261]) ).
tcf(c_11573,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xm)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_3261]) ).
tcf(c_11574,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xn)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_3261]) ).
tcf(c_11575,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xx)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_3261]) ).
tcf(c_11576,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xy)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_3261]) ).
tcf(c_11577,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_3261]) ).
tcf(c_11578,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),xz) = sdtpldt0(xz,sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_3261]) ).
tcf(c_11915,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xk) = sdtpldt0(xk,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_3262]) ).
tcf(c_11916,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xk) = sdtpldt0(xk,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3262]) ).
tcf(c_11917,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xk) = sdtpldt0(xk,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3262]) ).
tcf(c_11920,plain,
sdtpldt0(xk,xl) = sdtpldt0(xl,xk),
inference(superposition,[status(thm)],[c_2673,c_3262]) ).
tcf(c_11921,plain,
sdtpldt0(xk,xm) = sdtpldt0(xm,xk),
inference(superposition,[status(thm)],[c_2672,c_3262]) ).
tcf(c_11922,plain,
sdtpldt0(xk,xn) = sdtpldt0(xn,xk),
inference(superposition,[status(thm)],[c_2671,c_3262]) ).
tcf(c_11923,plain,
sdtpldt0(sdtpldt0(xk,xm),xk) = sdtpldt0(xk,sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_3262]) ).
tcf(c_11924,plain,
sdtpldt0(sdtpldt0(xl,xn),xk) = sdtpldt0(xk,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_3262]) ).
tcf(c_11925,plain,
sdtpldt0(sdtasdt0(xz,xk),xk) = sdtpldt0(xk,sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_3262]) ).
tcf(c_11926,plain,
sdtpldt0(sdtasdt0(xz,xl),xk) = sdtpldt0(xk,sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_3262]) ).
tcf(c_11927,plain,
sdtpldt0(xx,xk) = sdtpldt0(xk,xx),
inference(superposition,[status(thm)],[c_2826,c_3262]) ).
tcf(c_11928,plain,
sdtpldt0(xy,xk) = sdtpldt0(xk,xy),
inference(superposition,[status(thm)],[c_2842,c_3262]) ).
tcf(c_11929,plain,
sdtpldt0(xk,iPr_def_10) = sdtpldt0(iPr_def_10,xk),
inference(superposition,[status(thm)],[c_3184,c_3262]) ).
tcf(c_11930,plain,
sdtpldt0(xk,iPr_def_12) = sdtpldt0(iPr_def_12,xk),
inference(superposition,[status(thm)],[c_2900,c_3262]) ).
tcf(c_11931,plain,
sdtpldt0(smndt0(xz),xk) = sdtpldt0(xk,smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_3262]) ).
tcf(c_11932,plain,
sdtpldt0(smndt0(xk),xk) = sdtpldt0(xk,smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_3262]) ).
tcf(c_11933,plain,
sdtpldt0(smndt0(xl),xk) = sdtpldt0(xk,smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_3262]) ).
tcf(c_11934,plain,
sdtpldt0(smndt0(xm),xk) = sdtpldt0(xk,smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_3262]) ).
tcf(c_11935,plain,
sdtpldt0(smndt0(xn),xk) = sdtpldt0(xk,smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_3262]) ).
tcf(c_11936,plain,
sdtpldt0(smndt0(xx),xk) = sdtpldt0(xk,smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_3262]) ).
tcf(c_11937,plain,
sdtpldt0(smndt0(xy),xk) = sdtpldt0(xk,smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_3262]) ).
tcf(c_11938,plain,
sdtpldt0(smndt0(iPr_def_12),xk) = sdtpldt0(xk,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_3262]) ).
tcf(c_11939,plain,
sdtpldt0(smndt0(iPr_def_10),xk) = sdtpldt0(xk,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_3262]) ).
tcf(c_11940,plain,
( ( sdtpldt0(smndt0(smndt0(xz)),xk) = sdtpldt0(xk,smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_3262]) ).
tcf(c_11941,plain,
( ( sdtpldt0(smndt0(smndt0(xk)),xk) = sdtpldt0(xk,smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_3262]) ).
tcf(c_11942,plain,
( ( sdtpldt0(smndt0(smndt0(xl)),xk) = sdtpldt0(xk,smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_3262]) ).
tcf(c_11943,plain,
( ( sdtpldt0(smndt0(smndt0(xm)),xk) = sdtpldt0(xk,smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_3262]) ).
tcf(c_11944,plain,
( ( sdtpldt0(smndt0(smndt0(xn)),xk) = sdtpldt0(xk,smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_3262]) ).
tcf(c_11945,plain,
( ( sdtpldt0(smndt0(smndt0(xx)),xk) = sdtpldt0(xk,smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_3262]) ).
tcf(c_11946,plain,
( ( sdtpldt0(smndt0(smndt0(xy)),xk) = sdtpldt0(xk,smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_3262]) ).
tcf(c_11947,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),xk) = sdtpldt0(xk,smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_3262]) ).
tcf(c_11948,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),xk) = sdtpldt0(xk,smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_3262]) ).
tcf(c_11949,plain,
sdtpldt0(sdtpldt0(xz,sz10),xk) = sdtpldt0(xk,sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_3262]) ).
tcf(c_11950,plain,
sdtpldt0(sdtpldt0(sz10,xk),xk) = sdtpldt0(xk,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_3262]) ).
tcf(c_11951,plain,
sdtpldt0(sdtpldt0(sz10,xl),xk) = sdtpldt0(xk,sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_3262]) ).
tcf(c_11952,plain,
sdtpldt0(sdtpldt0(sz10,xm),xk) = sdtpldt0(xk,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_3262]) ).
tcf(c_11953,plain,
sdtpldt0(sdtpldt0(sz10,xn),xk) = sdtpldt0(xk,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_3262]) ).
tcf(c_11954,plain,
sdtpldt0(sdtpldt0(sz10,xx),xk) = sdtpldt0(xk,sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_3262]) ).
tcf(c_11955,plain,
sdtpldt0(sdtpldt0(sz10,xy),xk) = sdtpldt0(xk,sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_3262]) ).
tcf(c_11956,plain,
sdtpldt0(sdtpldt0(iPr_def_10,sz10),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_3262]) ).
tcf(c_11957,plain,
sdtpldt0(sdtpldt0(iPr_def_12,sz10),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_3262]) ).
tcf(c_11958,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xz)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_3262]) ).
tcf(c_11959,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xk)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_3262]) ).
tcf(c_11960,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xl)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_3262]) ).
tcf(c_11961,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xm)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_3262]) ).
tcf(c_11962,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xn)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_3262]) ).
tcf(c_11963,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xx)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_3262]) ).
tcf(c_11964,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xy)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_3262]) ).
tcf(c_11965,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_3262]) ).
tcf(c_11966,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),xk) = sdtpldt0(xk,sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_3262]) ).
tcf(c_11967,plain,
sdtpldt0(xl,xk) = xx,
inference(light_normalisation,[status(thm)],[c_11920,c_106]) ).
tcf(c_12060,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xl) = sdtpldt0(xl,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_3263]) ).
tcf(c_12061,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3263]) ).
tcf(c_12062,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xl) = sdtpldt0(xl,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3263]) ).
tcf(c_12066,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_2672,c_3263]) ).
tcf(c_12067,plain,
sdtpldt0(xl,xn) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_2671,c_3263]) ).
tcf(c_12068,plain,
sdtpldt0(sdtpldt0(xk,xm),xl) = sdtpldt0(xl,sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_3263]) ).
tcf(c_12069,plain,
sdtpldt0(sdtpldt0(xl,xn),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_3263]) ).
tcf(c_12070,plain,
sdtpldt0(sdtasdt0(xz,xk),xl) = sdtpldt0(xl,sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_3263]) ).
tcf(c_12071,plain,
sdtpldt0(sdtasdt0(xz,xl),xl) = sdtpldt0(xl,sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_3263]) ).
tcf(c_12072,plain,
sdtpldt0(xx,xl) = sdtpldt0(xl,xx),
inference(superposition,[status(thm)],[c_2826,c_3263]) ).
tcf(c_12073,plain,
sdtpldt0(xy,xl) = sdtpldt0(xl,xy),
inference(superposition,[status(thm)],[c_2842,c_3263]) ).
tcf(c_12074,plain,
sdtpldt0(xl,iPr_def_10) = sdtpldt0(iPr_def_10,xl),
inference(superposition,[status(thm)],[c_3184,c_3263]) ).
tcf(c_12075,plain,
sdtpldt0(xl,iPr_def_12) = sdtpldt0(iPr_def_12,xl),
inference(superposition,[status(thm)],[c_2900,c_3263]) ).
tcf(c_12076,plain,
sdtpldt0(smndt0(xz),xl) = sdtpldt0(xl,smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_3263]) ).
tcf(c_12077,plain,
sdtpldt0(smndt0(xk),xl) = sdtpldt0(xl,smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_3263]) ).
tcf(c_12078,plain,
sdtpldt0(smndt0(xl),xl) = sdtpldt0(xl,smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_3263]) ).
tcf(c_12079,plain,
sdtpldt0(smndt0(xm),xl) = sdtpldt0(xl,smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_3263]) ).
tcf(c_12080,plain,
sdtpldt0(smndt0(xn),xl) = sdtpldt0(xl,smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_3263]) ).
tcf(c_12081,plain,
sdtpldt0(smndt0(xx),xl) = sdtpldt0(xl,smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_3263]) ).
tcf(c_12082,plain,
sdtpldt0(smndt0(xy),xl) = sdtpldt0(xl,smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_3263]) ).
tcf(c_12083,plain,
sdtpldt0(smndt0(iPr_def_12),xl) = sdtpldt0(xl,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_3263]) ).
tcf(c_12084,plain,
sdtpldt0(smndt0(iPr_def_10),xl) = sdtpldt0(xl,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_3263]) ).
tcf(c_12085,plain,
( ( sdtpldt0(smndt0(smndt0(xz)),xl) = sdtpldt0(xl,smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_3263]) ).
tcf(c_12086,plain,
( ( sdtpldt0(smndt0(smndt0(xk)),xl) = sdtpldt0(xl,smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_3263]) ).
tcf(c_12087,plain,
( ( sdtpldt0(smndt0(smndt0(xl)),xl) = sdtpldt0(xl,smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_3263]) ).
tcf(c_12088,plain,
( ( sdtpldt0(smndt0(smndt0(xm)),xl) = sdtpldt0(xl,smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_3263]) ).
tcf(c_12089,plain,
( ( sdtpldt0(smndt0(smndt0(xn)),xl) = sdtpldt0(xl,smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_3263]) ).
tcf(c_12090,plain,
( ( sdtpldt0(smndt0(smndt0(xx)),xl) = sdtpldt0(xl,smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_3263]) ).
tcf(c_12091,plain,
( ( sdtpldt0(smndt0(smndt0(xy)),xl) = sdtpldt0(xl,smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_3263]) ).
tcf(c_12092,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),xl) = sdtpldt0(xl,smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_3263]) ).
tcf(c_12093,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),xl) = sdtpldt0(xl,smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_3263]) ).
tcf(c_12094,plain,
sdtpldt0(sdtpldt0(xz,sz10),xl) = sdtpldt0(xl,sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_3263]) ).
tcf(c_12095,plain,
sdtpldt0(sdtpldt0(sz10,xk),xl) = sdtpldt0(xl,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_3263]) ).
tcf(c_12096,plain,
sdtpldt0(sdtpldt0(sz10,xl),xl) = sdtpldt0(xl,sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_3263]) ).
tcf(c_12097,plain,
sdtpldt0(sdtpldt0(sz10,xm),xl) = sdtpldt0(xl,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_3263]) ).
tcf(c_12098,plain,
sdtpldt0(sdtpldt0(sz10,xn),xl) = sdtpldt0(xl,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_3263]) ).
tcf(c_12099,plain,
sdtpldt0(sdtpldt0(sz10,xx),xl) = sdtpldt0(xl,sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_3263]) ).
tcf(c_12100,plain,
sdtpldt0(sdtpldt0(sz10,xy),xl) = sdtpldt0(xl,sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_3263]) ).
tcf(c_12101,plain,
sdtpldt0(sdtpldt0(iPr_def_10,sz10),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_3263]) ).
tcf(c_12102,plain,
sdtpldt0(sdtpldt0(iPr_def_12,sz10),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_3263]) ).
tcf(c_12103,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xz)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_3263]) ).
tcf(c_12104,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xk)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_3263]) ).
tcf(c_12105,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xl)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_3263]) ).
tcf(c_12106,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xm)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_3263]) ).
tcf(c_12107,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xn)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_3263]) ).
tcf(c_12108,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xx)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_3263]) ).
tcf(c_12109,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xy)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_3263]) ).
tcf(c_12110,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_3263]) ).
tcf(c_12111,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),xl) = sdtpldt0(xl,sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_3263]) ).
tcf(c_12273,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xm) = sdtpldt0(xm,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_3264]) ).
tcf(c_12274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3264]) ).
tcf(c_12275,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3264]) ).
tcf(c_12280,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_2671,c_3264]) ).
tcf(c_12281,plain,
sdtpldt0(sdtpldt0(xk,xm),xm) = sdtpldt0(xm,sdtpldt0(xk,xm)),
inference(superposition,[status(thm)],[c_2678,c_3264]) ).
tcf(c_12282,plain,
sdtpldt0(sdtpldt0(xl,xn),xm) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2677,c_3264]) ).
tcf(c_12283,plain,
sdtpldt0(sdtasdt0(xz,xk),xm) = sdtpldt0(xm,sdtasdt0(xz,xk)),
inference(superposition,[status(thm)],[c_2676,c_3264]) ).
tcf(c_12284,plain,
sdtpldt0(sdtasdt0(xz,xl),xm) = sdtpldt0(xm,sdtasdt0(xz,xl)),
inference(superposition,[status(thm)],[c_2675,c_3264]) ).
tcf(c_12285,plain,
sdtpldt0(xx,xm) = sdtpldt0(xm,xx),
inference(superposition,[status(thm)],[c_2826,c_3264]) ).
tcf(c_12286,plain,
sdtpldt0(xy,xm) = sdtpldt0(xm,xy),
inference(superposition,[status(thm)],[c_2842,c_3264]) ).
tcf(c_12287,plain,
sdtpldt0(xm,iPr_def_10) = sdtpldt0(iPr_def_10,xm),
inference(superposition,[status(thm)],[c_3184,c_3264]) ).
tcf(c_12288,plain,
sdtpldt0(xm,iPr_def_12) = sdtpldt0(iPr_def_12,xm),
inference(superposition,[status(thm)],[c_2900,c_3264]) ).
tcf(c_12289,plain,
sdtpldt0(smndt0(xz),xm) = sdtpldt0(xm,smndt0(xz)),
inference(superposition,[status(thm)],[c_5066,c_3264]) ).
tcf(c_12290,plain,
sdtpldt0(smndt0(xk),xm) = sdtpldt0(xm,smndt0(xk)),
inference(superposition,[status(thm)],[c_5206,c_3264]) ).
tcf(c_12291,plain,
sdtpldt0(smndt0(xl),xm) = sdtpldt0(xm,smndt0(xl)),
inference(superposition,[status(thm)],[c_5270,c_3264]) ).
tcf(c_12292,plain,
sdtpldt0(smndt0(xm),xm) = sdtpldt0(xm,smndt0(xm)),
inference(superposition,[status(thm)],[c_5356,c_3264]) ).
tcf(c_12293,plain,
sdtpldt0(smndt0(xn),xm) = sdtpldt0(xm,smndt0(xn)),
inference(superposition,[status(thm)],[c_5445,c_3264]) ).
tcf(c_12294,plain,
sdtpldt0(smndt0(xx),xm) = sdtpldt0(xm,smndt0(xx)),
inference(superposition,[status(thm)],[c_5528,c_3264]) ).
tcf(c_12295,plain,
sdtpldt0(smndt0(xy),xm) = sdtpldt0(xm,smndt0(xy)),
inference(superposition,[status(thm)],[c_5604,c_3264]) ).
tcf(c_12296,plain,
sdtpldt0(smndt0(iPr_def_12),xm) = sdtpldt0(xm,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_5680,c_3264]) ).
tcf(c_12297,plain,
sdtpldt0(smndt0(iPr_def_10),xm) = sdtpldt0(xm,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_5796,c_3264]) ).
tcf(c_12298,plain,
( ( sdtpldt0(smndt0(smndt0(xz)),xm) = sdtpldt0(xm,smndt0(smndt0(xz))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6567,c_3264]) ).
tcf(c_12299,plain,
( ( sdtpldt0(smndt0(smndt0(xk)),xm) = sdtpldt0(xm,smndt0(smndt0(xk))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6682,c_3264]) ).
tcf(c_12300,plain,
( ( sdtpldt0(smndt0(smndt0(xl)),xm) = sdtpldt0(xm,smndt0(smndt0(xl))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6789,c_3264]) ).
tcf(c_12301,plain,
( ( sdtpldt0(smndt0(smndt0(xm)),xm) = sdtpldt0(xm,smndt0(smndt0(xm))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_6932,c_3264]) ).
tcf(c_12302,plain,
( ( sdtpldt0(smndt0(smndt0(xn)),xm) = sdtpldt0(xm,smndt0(smndt0(xn))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7102,c_3264]) ).
tcf(c_12303,plain,
( ( sdtpldt0(smndt0(smndt0(xx)),xm) = sdtpldt0(xm,smndt0(smndt0(xx))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7228,c_3264]) ).
tcf(c_12304,plain,
( ( sdtpldt0(smndt0(smndt0(xy)),xm) = sdtpldt0(xm,smndt0(smndt0(xy))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7352,c_3264]) ).
tcf(c_12305,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_12)),xm) = sdtpldt0(xm,smndt0(smndt0(iPr_def_12))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7462,c_3264]) ).
tcf(c_12306,plain,
( ( sdtpldt0(smndt0(smndt0(iPr_def_10)),xm) = sdtpldt0(xm,smndt0(smndt0(iPr_def_10))) )
| ~ aElement0(smndt0(sz10)) ),
inference(superposition,[status(thm)],[c_7580,c_3264]) ).
tcf(c_12307,plain,
sdtpldt0(sdtpldt0(xz,sz10),xm) = sdtpldt0(xm,sdtpldt0(xz,sz10)),
inference(superposition,[status(thm)],[c_8770,c_3264]) ).
tcf(c_12308,plain,
sdtpldt0(sdtpldt0(sz10,xk),xm) = sdtpldt0(xm,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_8872,c_3264]) ).
tcf(c_12309,plain,
sdtpldt0(sdtpldt0(sz10,xl),xm) = sdtpldt0(xm,sdtpldt0(sz10,xl)),
inference(superposition,[status(thm)],[c_8989,c_3264]) ).
tcf(c_12310,plain,
sdtpldt0(sdtpldt0(sz10,xm),xm) = sdtpldt0(xm,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_9086,c_3264]) ).
tcf(c_12311,plain,
sdtpldt0(sdtpldt0(sz10,xn),xm) = sdtpldt0(xm,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_9287,c_3264]) ).
tcf(c_12312,plain,
sdtpldt0(sdtpldt0(sz10,xx),xm) = sdtpldt0(xm,sdtpldt0(sz10,xx)),
inference(superposition,[status(thm)],[c_9342,c_3264]) ).
tcf(c_12313,plain,
sdtpldt0(sdtpldt0(sz10,xy),xm) = sdtpldt0(xm,sdtpldt0(sz10,xy)),
inference(superposition,[status(thm)],[c_9455,c_3264]) ).
tcf(c_12314,plain,
sdtpldt0(sdtpldt0(iPr_def_10,sz10),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_10,sz10)),
inference(superposition,[status(thm)],[c_9589,c_3264]) ).
tcf(c_12315,plain,
sdtpldt0(sdtpldt0(iPr_def_12,sz10),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_12,sz10)),
inference(superposition,[status(thm)],[c_9698,c_3264]) ).
tcf(c_12316,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xz)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(xz))),
inference(superposition,[status(thm)],[c_10025,c_3264]) ).
tcf(c_12317,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xk)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(xk))),
inference(superposition,[status(thm)],[c_10214,c_3264]) ).
tcf(c_12318,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xl)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(xl))),
inference(superposition,[status(thm)],[c_10406,c_3264]) ).
tcf(c_12319,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xm)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(xm))),
inference(superposition,[status(thm)],[c_10571,c_3264]) ).
tcf(c_12320,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xn)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(xn))),
inference(superposition,[status(thm)],[c_10674,c_3264]) ).
tcf(c_12321,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xx)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(xx))),
inference(superposition,[status(thm)],[c_10783,c_3264]) ).
tcf(c_12322,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(xy)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(xy))),
inference(superposition,[status(thm)],[c_10961,c_3264]) ).
tcf(c_12323,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_12)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_11056,c_3264]) ).
tcf(c_12324,plain,
sdtpldt0(sdtpldt0(sz10,smndt0(iPr_def_10)),xm) = sdtpldt0(xm,sdtpldt0(sz10,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_11246,c_3264]) ).
tcf(c_12325,plain,
sdtpldt0(xn,xm) = xy,
inference(light_normalisation,[status(thm)],[c_12280,c_109]) ).
tcf(c_12501,plain,
( aElement0(sdtpldt0(xz,xk))
| ~ aElement0(xk)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_11531,c_52]) ).
tcf(c_12502,plain,
( aElementOf0(sdtpldt0(xz,xk),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(xz,xJ) ),
inference(superposition,[status(thm)],[c_11531,c_954]) ).
tcf(c_12503,plain,
( aElementOf0(sdtpldt0(xz,xk),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(xz,xI) ),
inference(superposition,[status(thm)],[c_11531,c_930]) ).
tcf(c_12504,plain,
aElement0(sdtpldt0(xz,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_12501,c_2674,c_103]) ).
tcf(c_12505,plain,
( aElementOf0(sdtpldt0(xz,xk),xI)
| ~ aElementOf0(xz,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12503,c_104]) ).
tcf(c_12511,plain,
sdtpldt0(sdtpldt0(xz,xk),xm) = sdtpldt0(xm,sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_3264]) ).
tcf(c_12512,plain,
sdtpldt0(sdtpldt0(xz,xk),xl) = sdtpldt0(xl,sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_3263]) ).
tcf(c_12513,plain,
sdtpldt0(sdtpldt0(xz,xk),xk) = sdtpldt0(xk,sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_3262]) ).
tcf(c_12514,plain,
sdtpldt0(sdtpldt0(xz,xk),xz) = sdtpldt0(xz,sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_3261]) ).
tcf(c_12515,plain,
sdtpldt0(sdtpldt0(xz,xk),sz10) = sdtpldt0(sz10,sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_3257]) ).
tcf(c_12516,plain,
sdtpldt0(sdtpldt0(xz,xk),sz00) = sdtpldt0(sz00,sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_3256]) ).
tcf(c_12517,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,xk))) = smndt0(sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_2598]) ).
tcf(c_12518,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xk)),sz10) = smndt0(sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_2587]) ).
tcf(c_12519,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,xk))) = smndt0(sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_2576]) ).
tcf(c_12520,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xk)),sz00) = smndt0(sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_2565]) ).
tcf(c_12521,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,xk))) = sz00,
inference(superposition,[status(thm)],[c_12504,c_2644]) ).
tcf(c_12522,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_12504,c_2633]) ).
tcf(c_12523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,xk)),sdtasdt0(X1,sdtpldt0(xz,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,xk)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12504,c_65]) ).
tcf(c_12524,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,xk),X0),sdtasdt0(sdtpldt0(xz,xk),X1)) = sdtasdt0(sdtpldt0(xz,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12504,c_64]) ).
tcf(c_12525,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,xk),X0),X1) = sdtasdt0(sdtpldt0(xz,xk),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12504,c_61]) ).
tcf(c_12526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,xk),X0),X1) = sdtpldt0(sdtpldt0(xz,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12504,c_55]) ).
tcf(c_12527,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,xk),X0) = sdtasdt0(X0,sdtpldt0(xz,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12504,c_60]) ).
tcf(c_12528,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,xk),X0) = sdtpldt0(X0,sdtpldt0(xz,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12504,c_54]) ).
tcf(c_12529,plain,
sdtasdt0(sdtpldt0(xz,xk),smndt0(sz10)) = smndt0(sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_67]) ).
tcf(c_12530,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,xk)) = smndt0(sdtpldt0(xz,xk)),
inference(superposition,[status(thm)],[c_12504,c_66]) ).
tcf(c_12531,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xk)),sdtpldt0(xz,xk)) = sz00,
inference(superposition,[status(thm)],[c_12504,c_59]) ).
tcf(c_12532,plain,
sdtpldt0(sdtpldt0(xz,xk),smndt0(sdtpldt0(xz,xk))) = sz00,
inference(superposition,[status(thm)],[c_12504,c_58]) ).
tcf(c_12533,plain,
sdtasdt0(sz00,sdtpldt0(xz,xk)) = sz00,
inference(superposition,[status(thm)],[c_12504,c_69]) ).
tcf(c_12534,plain,
sdtasdt0(sdtpldt0(xz,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_12504,c_68]) ).
tcf(c_12535,plain,
sdtasdt0(sz10,sdtpldt0(xz,xk)) = sdtpldt0(xz,xk),
inference(superposition,[status(thm)],[c_12504,c_63]) ).
tcf(c_12536,plain,
sdtasdt0(sdtpldt0(xz,xk),sz10) = sdtpldt0(xz,xk),
inference(superposition,[status(thm)],[c_12504,c_62]) ).
tcf(c_12537,plain,
sdtpldt0(sz00,sdtpldt0(xz,xk)) = sdtpldt0(xz,xk),
inference(superposition,[status(thm)],[c_12504,c_57]) ).
tcf(c_12538,plain,
sdtpldt0(sdtpldt0(xz,xk),sz00) = sdtpldt0(xz,xk),
inference(superposition,[status(thm)],[c_12504,c_56]) ).
tcf(c_12646,plain,
( aElement0(sdtpldt0(xz,xl))
| ~ aElement0(xl)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_11532,c_52]) ).
tcf(c_12647,plain,
( aElementOf0(sdtpldt0(xz,xl),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(xz,xJ) ),
inference(superposition,[status(thm)],[c_11532,c_954]) ).
tcf(c_12648,plain,
( aElementOf0(sdtpldt0(xz,xl),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(xz,xI) ),
inference(superposition,[status(thm)],[c_11532,c_930]) ).
tcf(c_12649,plain,
aElement0(sdtpldt0(xz,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_12646,c_2673,c_103]) ).
tcf(c_12653,plain,
( aElementOf0(sdtpldt0(xz,xl),xJ)
| ~ aElementOf0(xz,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12647,c_105]) ).
tcf(c_12656,plain,
sdtpldt0(sdtpldt0(xz,xl),xm) = sdtpldt0(xm,sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_3264]) ).
tcf(c_12657,plain,
sdtpldt0(sdtpldt0(xz,xl),xl) = sdtpldt0(xl,sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_3263]) ).
tcf(c_12658,plain,
sdtpldt0(sdtpldt0(xz,xl),xk) = sdtpldt0(xk,sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_3262]) ).
tcf(c_12659,plain,
sdtpldt0(sdtpldt0(xz,xl),xz) = sdtpldt0(xz,sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_3261]) ).
tcf(c_12660,plain,
sdtpldt0(sdtpldt0(xz,xl),sz10) = sdtpldt0(sz10,sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_3257]) ).
tcf(c_12661,plain,
sdtpldt0(sdtpldt0(xz,xl),sz00) = sdtpldt0(sz00,sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_3256]) ).
tcf(c_12662,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,xl))) = smndt0(sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_2598]) ).
tcf(c_12663,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xl)),sz10) = smndt0(sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_2587]) ).
tcf(c_12664,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,xl))) = smndt0(sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_2576]) ).
tcf(c_12665,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xl)),sz00) = smndt0(sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_2565]) ).
tcf(c_12666,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,xl))) = sz00,
inference(superposition,[status(thm)],[c_12649,c_2644]) ).
tcf(c_12667,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_12649,c_2633]) ).
tcf(c_12668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,xl)),sdtasdt0(X1,sdtpldt0(xz,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,xl)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12649,c_65]) ).
tcf(c_12669,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,xl),X0),sdtasdt0(sdtpldt0(xz,xl),X1)) = sdtasdt0(sdtpldt0(xz,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12649,c_64]) ).
tcf(c_12670,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,xl),X0),X1) = sdtasdt0(sdtpldt0(xz,xl),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12649,c_61]) ).
tcf(c_12671,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,xl),X0),X1) = sdtpldt0(sdtpldt0(xz,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12649,c_55]) ).
tcf(c_12672,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,xl),X0) = sdtasdt0(X0,sdtpldt0(xz,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12649,c_60]) ).
tcf(c_12673,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,xl),X0) = sdtpldt0(X0,sdtpldt0(xz,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12649,c_54]) ).
tcf(c_12674,plain,
sdtasdt0(sdtpldt0(xz,xl),smndt0(sz10)) = smndt0(sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_67]) ).
tcf(c_12675,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,xl)) = smndt0(sdtpldt0(xz,xl)),
inference(superposition,[status(thm)],[c_12649,c_66]) ).
tcf(c_12676,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xl)),sdtpldt0(xz,xl)) = sz00,
inference(superposition,[status(thm)],[c_12649,c_59]) ).
tcf(c_12677,plain,
sdtpldt0(sdtpldt0(xz,xl),smndt0(sdtpldt0(xz,xl))) = sz00,
inference(superposition,[status(thm)],[c_12649,c_58]) ).
tcf(c_12678,plain,
sdtasdt0(sz00,sdtpldt0(xz,xl)) = sz00,
inference(superposition,[status(thm)],[c_12649,c_69]) ).
tcf(c_12679,plain,
sdtasdt0(sdtpldt0(xz,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_12649,c_68]) ).
tcf(c_12680,plain,
sdtasdt0(sz10,sdtpldt0(xz,xl)) = sdtpldt0(xz,xl),
inference(superposition,[status(thm)],[c_12649,c_63]) ).
tcf(c_12681,plain,
sdtasdt0(sdtpldt0(xz,xl),sz10) = sdtpldt0(xz,xl),
inference(superposition,[status(thm)],[c_12649,c_62]) ).
tcf(c_12682,plain,
sdtpldt0(sz00,sdtpldt0(xz,xl)) = sdtpldt0(xz,xl),
inference(superposition,[status(thm)],[c_12649,c_57]) ).
tcf(c_12683,plain,
sdtpldt0(sdtpldt0(xz,xl),sz00) = sdtpldt0(xz,xl),
inference(superposition,[status(thm)],[c_12649,c_56]) ).
tcf(c_12782,plain,
( aElement0(sdtpldt0(xz,xm))
| ~ aElement0(xm)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_11533,c_52]) ).
tcf(c_12783,plain,
( aElementOf0(sdtpldt0(xz,xm),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(xz,xJ) ),
inference(superposition,[status(thm)],[c_11533,c_954]) ).
tcf(c_12784,plain,
( aElementOf0(sdtpldt0(xz,xm),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(xz,xI) ),
inference(superposition,[status(thm)],[c_11533,c_930]) ).
tcf(c_12785,plain,
aElement0(sdtpldt0(xz,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_12782,c_2672,c_103]) ).
tcf(c_12786,plain,
( aElementOf0(sdtpldt0(xz,xm),xI)
| ~ aElementOf0(xz,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12784,c_107]) ).
tcf(c_12800,plain,
sdtpldt0(sdtpldt0(xz,xm),xm) = sdtpldt0(xm,sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_3264]) ).
tcf(c_12801,plain,
sdtpldt0(sdtpldt0(xz,xm),xl) = sdtpldt0(xl,sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_3263]) ).
tcf(c_12802,plain,
sdtpldt0(sdtpldt0(xz,xm),xk) = sdtpldt0(xk,sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_3262]) ).
tcf(c_12803,plain,
sdtpldt0(sdtpldt0(xz,xm),xz) = sdtpldt0(xz,sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_3261]) ).
tcf(c_12804,plain,
sdtpldt0(sdtpldt0(xz,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_3257]) ).
tcf(c_12805,plain,
sdtpldt0(sdtpldt0(xz,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_3256]) ).
tcf(c_12806,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,xm))) = smndt0(sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_2598]) ).
tcf(c_12807,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xm)),sz10) = smndt0(sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_2587]) ).
tcf(c_12808,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,xm))) = smndt0(sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_2576]) ).
tcf(c_12809,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xm)),sz00) = smndt0(sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_2565]) ).
tcf(c_12810,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,xm))) = sz00,
inference(superposition,[status(thm)],[c_12785,c_2644]) ).
tcf(c_12811,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_12785,c_2633]) ).
tcf(c_12812,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,xm)),sdtasdt0(X1,sdtpldt0(xz,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12785,c_65]) ).
tcf(c_12813,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,xm),X0),sdtasdt0(sdtpldt0(xz,xm),X1)) = sdtasdt0(sdtpldt0(xz,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12785,c_64]) ).
tcf(c_12814,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,xm),X0),X1) = sdtasdt0(sdtpldt0(xz,xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12785,c_61]) ).
tcf(c_12815,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,xm),X0),X1) = sdtpldt0(sdtpldt0(xz,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12785,c_55]) ).
tcf(c_12816,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,xm),X0) = sdtasdt0(X0,sdtpldt0(xz,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12785,c_60]) ).
tcf(c_12817,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,xm),X0) = sdtpldt0(X0,sdtpldt0(xz,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12785,c_54]) ).
tcf(c_12818,plain,
sdtasdt0(sdtpldt0(xz,xm),smndt0(sz10)) = smndt0(sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_67]) ).
tcf(c_12819,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,xm)) = smndt0(sdtpldt0(xz,xm)),
inference(superposition,[status(thm)],[c_12785,c_66]) ).
tcf(c_12820,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xm)),sdtpldt0(xz,xm)) = sz00,
inference(superposition,[status(thm)],[c_12785,c_59]) ).
tcf(c_12821,plain,
sdtpldt0(sdtpldt0(xz,xm),smndt0(sdtpldt0(xz,xm))) = sz00,
inference(superposition,[status(thm)],[c_12785,c_58]) ).
tcf(c_12822,plain,
sdtasdt0(sz00,sdtpldt0(xz,xm)) = sz00,
inference(superposition,[status(thm)],[c_12785,c_69]) ).
tcf(c_12823,plain,
sdtasdt0(sdtpldt0(xz,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_12785,c_68]) ).
tcf(c_12824,plain,
sdtasdt0(sz10,sdtpldt0(xz,xm)) = sdtpldt0(xz,xm),
inference(superposition,[status(thm)],[c_12785,c_63]) ).
tcf(c_12825,plain,
sdtasdt0(sdtpldt0(xz,xm),sz10) = sdtpldt0(xz,xm),
inference(superposition,[status(thm)],[c_12785,c_62]) ).
tcf(c_12826,plain,
sdtpldt0(sz00,sdtpldt0(xz,xm)) = sdtpldt0(xz,xm),
inference(superposition,[status(thm)],[c_12785,c_57]) ).
tcf(c_12827,plain,
sdtpldt0(sdtpldt0(xz,xm),sz00) = sdtpldt0(xz,xm),
inference(superposition,[status(thm)],[c_12785,c_56]) ).
tcf(c_12910,plain,
( aElement0(sdtpldt0(xz,xn))
| ~ aElement0(xn)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_11534,c_52]) ).
tcf(c_12911,plain,
( aElementOf0(sdtpldt0(xz,xn),xJ)
| ~ aElementOf0(xn,xJ)
| ~ aElementOf0(xz,xJ) ),
inference(superposition,[status(thm)],[c_11534,c_954]) ).
tcf(c_12912,plain,
( aElementOf0(sdtpldt0(xz,xn),xI)
| ~ aElementOf0(xn,xI)
| ~ aElementOf0(xz,xI) ),
inference(superposition,[status(thm)],[c_11534,c_930]) ).
tcf(c_12913,plain,
aElement0(sdtpldt0(xz,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_12910,c_2671,c_103]) ).
tcf(c_12917,plain,
( aElementOf0(sdtpldt0(xz,xn),xJ)
| ~ aElementOf0(xz,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12911,c_108]) ).
tcf(c_12928,plain,
sdtpldt0(sdtpldt0(xz,xn),xm) = sdtpldt0(xm,sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_3264]) ).
tcf(c_12929,plain,
sdtpldt0(sdtpldt0(xz,xn),xl) = sdtpldt0(xl,sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_3263]) ).
tcf(c_12930,plain,
sdtpldt0(sdtpldt0(xz,xn),xk) = sdtpldt0(xk,sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_3262]) ).
tcf(c_12931,plain,
sdtpldt0(sdtpldt0(xz,xn),xz) = sdtpldt0(xz,sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_3261]) ).
tcf(c_12932,plain,
sdtpldt0(sdtpldt0(xz,xn),sz10) = sdtpldt0(sz10,sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_3257]) ).
tcf(c_12933,plain,
sdtpldt0(sdtpldt0(xz,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_3256]) ).
tcf(c_12934,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,xn))) = smndt0(sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_2598]) ).
tcf(c_12935,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xn)),sz10) = smndt0(sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_2587]) ).
tcf(c_12936,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,xn))) = smndt0(sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_2576]) ).
tcf(c_12937,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xn)),sz00) = smndt0(sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_2565]) ).
tcf(c_12938,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,xn))) = sz00,
inference(superposition,[status(thm)],[c_12913,c_2644]) ).
tcf(c_12939,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_12913,c_2633]) ).
tcf(c_12940,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,xn)),sdtasdt0(X1,sdtpldt0(xz,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,xn)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12913,c_65]) ).
tcf(c_12941,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,xn),X0),sdtasdt0(sdtpldt0(xz,xn),X1)) = sdtasdt0(sdtpldt0(xz,xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12913,c_64]) ).
tcf(c_12942,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,xn),X0),X1) = sdtasdt0(sdtpldt0(xz,xn),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12913,c_61]) ).
tcf(c_12943,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,xn),X0),X1) = sdtpldt0(sdtpldt0(xz,xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12913,c_55]) ).
tcf(c_12944,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,xn),X0) = sdtasdt0(X0,sdtpldt0(xz,xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12913,c_60]) ).
tcf(c_12945,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,xn),X0) = sdtpldt0(X0,sdtpldt0(xz,xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12913,c_54]) ).
tcf(c_12946,plain,
sdtasdt0(sdtpldt0(xz,xn),smndt0(sz10)) = smndt0(sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_67]) ).
tcf(c_12947,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,xn)) = smndt0(sdtpldt0(xz,xn)),
inference(superposition,[status(thm)],[c_12913,c_66]) ).
tcf(c_12948,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xn)),sdtpldt0(xz,xn)) = sz00,
inference(superposition,[status(thm)],[c_12913,c_59]) ).
tcf(c_12949,plain,
sdtpldt0(sdtpldt0(xz,xn),smndt0(sdtpldt0(xz,xn))) = sz00,
inference(superposition,[status(thm)],[c_12913,c_58]) ).
tcf(c_12950,plain,
sdtasdt0(sz00,sdtpldt0(xz,xn)) = sz00,
inference(superposition,[status(thm)],[c_12913,c_69]) ).
tcf(c_12951,plain,
sdtasdt0(sdtpldt0(xz,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_12913,c_68]) ).
tcf(c_12952,plain,
sdtasdt0(sz10,sdtpldt0(xz,xn)) = sdtpldt0(xz,xn),
inference(superposition,[status(thm)],[c_12913,c_63]) ).
tcf(c_12953,plain,
sdtasdt0(sdtpldt0(xz,xn),sz10) = sdtpldt0(xz,xn),
inference(superposition,[status(thm)],[c_12913,c_62]) ).
tcf(c_12954,plain,
sdtpldt0(sz00,sdtpldt0(xz,xn)) = sdtpldt0(xz,xn),
inference(superposition,[status(thm)],[c_12913,c_57]) ).
tcf(c_12955,plain,
sdtpldt0(sdtpldt0(xz,xn),sz00) = sdtpldt0(xz,xn),
inference(superposition,[status(thm)],[c_12913,c_56]) ).
tcf(c_13068,plain,
( aElement0(sdtpldt0(xz,xx))
| ~ aElement0(xz)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_11539,c_52]) ).
tcf(c_13069,plain,
( aElementOf0(sdtpldt0(xz,xx),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(xx,xJ) ),
inference(superposition,[status(thm)],[c_11539,c_954]) ).
tcf(c_13070,plain,
( aElementOf0(sdtpldt0(xz,xx),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(xx,xI) ),
inference(superposition,[status(thm)],[c_11539,c_930]) ).
tcf(c_13071,plain,
aElement0(sdtpldt0(xz,xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_13068,c_103,c_2826]) ).
tcf(c_13078,plain,
sdtpldt0(sdtpldt0(xz,xx),xm) = sdtpldt0(xm,sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_3264]) ).
tcf(c_13079,plain,
sdtpldt0(sdtpldt0(xz,xx),xl) = sdtpldt0(xl,sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_3263]) ).
tcf(c_13080,plain,
sdtpldt0(sdtpldt0(xz,xx),xk) = sdtpldt0(xk,sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_3262]) ).
tcf(c_13081,plain,
sdtpldt0(sdtpldt0(xz,xx),xz) = sdtpldt0(xz,sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_3261]) ).
tcf(c_13082,plain,
sdtpldt0(sdtpldt0(xz,xx),sz10) = sdtpldt0(sz10,sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_3257]) ).
tcf(c_13083,plain,
sdtpldt0(sdtpldt0(xz,xx),sz00) = sdtpldt0(sz00,sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_3256]) ).
tcf(c_13084,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,xx))) = smndt0(sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_2598]) ).
tcf(c_13085,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xx)),sz10) = smndt0(sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_2587]) ).
tcf(c_13086,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,xx))) = smndt0(sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_2576]) ).
tcf(c_13087,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xx)),sz00) = smndt0(sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_2565]) ).
tcf(c_13088,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,xx))) = sz00,
inference(superposition,[status(thm)],[c_13071,c_2644]) ).
tcf(c_13089,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xx)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13071,c_2633]) ).
tcf(c_13090,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,xx)),sdtasdt0(X1,sdtpldt0(xz,xx))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,xx)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13071,c_65]) ).
tcf(c_13091,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,xx),X0),sdtasdt0(sdtpldt0(xz,xx),X1)) = sdtasdt0(sdtpldt0(xz,xx),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13071,c_64]) ).
tcf(c_13092,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,xx),X0),X1) = sdtasdt0(sdtpldt0(xz,xx),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13071,c_61]) ).
tcf(c_13093,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,xx),X0),X1) = sdtpldt0(sdtpldt0(xz,xx),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13071,c_55]) ).
tcf(c_13094,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,xx),X0) = sdtasdt0(X0,sdtpldt0(xz,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13071,c_60]) ).
tcf(c_13095,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,xx),X0) = sdtpldt0(X0,sdtpldt0(xz,xx)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13071,c_54]) ).
tcf(c_13096,plain,
sdtasdt0(sdtpldt0(xz,xx),smndt0(sz10)) = smndt0(sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_67]) ).
tcf(c_13097,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,xx)) = smndt0(sdtpldt0(xz,xx)),
inference(superposition,[status(thm)],[c_13071,c_66]) ).
tcf(c_13098,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xx)),sdtpldt0(xz,xx)) = sz00,
inference(superposition,[status(thm)],[c_13071,c_59]) ).
tcf(c_13099,plain,
sdtpldt0(sdtpldt0(xz,xx),smndt0(sdtpldt0(xz,xx))) = sz00,
inference(superposition,[status(thm)],[c_13071,c_58]) ).
tcf(c_13100,plain,
sdtasdt0(sz00,sdtpldt0(xz,xx)) = sz00,
inference(superposition,[status(thm)],[c_13071,c_69]) ).
tcf(c_13101,plain,
sdtasdt0(sdtpldt0(xz,xx),sz00) = sz00,
inference(superposition,[status(thm)],[c_13071,c_68]) ).
tcf(c_13102,plain,
sdtasdt0(sz10,sdtpldt0(xz,xx)) = sdtpldt0(xz,xx),
inference(superposition,[status(thm)],[c_13071,c_63]) ).
tcf(c_13103,plain,
sdtasdt0(sdtpldt0(xz,xx),sz10) = sdtpldt0(xz,xx),
inference(superposition,[status(thm)],[c_13071,c_62]) ).
tcf(c_13104,plain,
sdtpldt0(sz00,sdtpldt0(xz,xx)) = sdtpldt0(xz,xx),
inference(superposition,[status(thm)],[c_13071,c_57]) ).
tcf(c_13105,plain,
sdtpldt0(sdtpldt0(xz,xx),sz00) = sdtpldt0(xz,xx),
inference(superposition,[status(thm)],[c_13071,c_56]) ).
tcf(c_13251,plain,
( aElement0(sdtpldt0(xz,xy))
| ~ aElement0(xz)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_11540,c_52]) ).
tcf(c_13252,plain,
( aElementOf0(sdtpldt0(xz,xy),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(xy,xJ) ),
inference(superposition,[status(thm)],[c_11540,c_954]) ).
tcf(c_13253,plain,
( aElementOf0(sdtpldt0(xz,xy),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(xy,xI) ),
inference(superposition,[status(thm)],[c_11540,c_930]) ).
tcf(c_13254,plain,
aElement0(sdtpldt0(xz,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_13251,c_103,c_2842]) ).
tcf(c_13261,plain,
sdtpldt0(sdtpldt0(xz,xy),xm) = sdtpldt0(xm,sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_3264]) ).
tcf(c_13262,plain,
sdtpldt0(sdtpldt0(xz,xy),xl) = sdtpldt0(xl,sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_3263]) ).
tcf(c_13263,plain,
sdtpldt0(sdtpldt0(xz,xy),xk) = sdtpldt0(xk,sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_3262]) ).
tcf(c_13264,plain,
sdtpldt0(sdtpldt0(xz,xy),xz) = sdtpldt0(xz,sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_3261]) ).
tcf(c_13265,plain,
sdtpldt0(sdtpldt0(xz,xy),sz10) = sdtpldt0(sz10,sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_3257]) ).
tcf(c_13266,plain,
sdtpldt0(sdtpldt0(xz,xy),sz00) = sdtpldt0(sz00,sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_3256]) ).
tcf(c_13267,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,xy))) = smndt0(sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_2598]) ).
tcf(c_13268,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xy)),sz10) = smndt0(sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_2587]) ).
tcf(c_13269,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,xy))) = smndt0(sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_2576]) ).
tcf(c_13270,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xy)),sz00) = smndt0(sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_2565]) ).
tcf(c_13271,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,xy))) = sz00,
inference(superposition,[status(thm)],[c_13254,c_2644]) ).
tcf(c_13272,plain,
sdtasdt0(smndt0(sdtpldt0(xz,xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13254,c_2633]) ).
tcf(c_13273,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,xy)),sdtasdt0(X1,sdtpldt0(xz,xy))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,xy)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13254,c_65]) ).
tcf(c_13274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,xy),X0),sdtasdt0(sdtpldt0(xz,xy),X1)) = sdtasdt0(sdtpldt0(xz,xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13254,c_64]) ).
tcf(c_13275,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,xy),X0),X1) = sdtasdt0(sdtpldt0(xz,xy),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13254,c_61]) ).
tcf(c_13276,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,xy),X0),X1) = sdtpldt0(sdtpldt0(xz,xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13254,c_55]) ).
tcf(c_13277,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,xy),X0) = sdtasdt0(X0,sdtpldt0(xz,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13254,c_60]) ).
tcf(c_13278,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,xy),X0) = sdtpldt0(X0,sdtpldt0(xz,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13254,c_54]) ).
tcf(c_13279,plain,
sdtasdt0(sdtpldt0(xz,xy),smndt0(sz10)) = smndt0(sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_67]) ).
tcf(c_13280,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,xy)) = smndt0(sdtpldt0(xz,xy)),
inference(superposition,[status(thm)],[c_13254,c_66]) ).
tcf(c_13281,plain,
sdtpldt0(smndt0(sdtpldt0(xz,xy)),sdtpldt0(xz,xy)) = sz00,
inference(superposition,[status(thm)],[c_13254,c_59]) ).
tcf(c_13282,plain,
sdtpldt0(sdtpldt0(xz,xy),smndt0(sdtpldt0(xz,xy))) = sz00,
inference(superposition,[status(thm)],[c_13254,c_58]) ).
tcf(c_13283,plain,
sdtasdt0(sz00,sdtpldt0(xz,xy)) = sz00,
inference(superposition,[status(thm)],[c_13254,c_69]) ).
tcf(c_13284,plain,
sdtasdt0(sdtpldt0(xz,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_13254,c_68]) ).
tcf(c_13285,plain,
sdtasdt0(sz10,sdtpldt0(xz,xy)) = sdtpldt0(xz,xy),
inference(superposition,[status(thm)],[c_13254,c_63]) ).
tcf(c_13286,plain,
sdtasdt0(sdtpldt0(xz,xy),sz10) = sdtpldt0(xz,xy),
inference(superposition,[status(thm)],[c_13254,c_62]) ).
tcf(c_13287,plain,
sdtpldt0(sz00,sdtpldt0(xz,xy)) = sdtpldt0(xz,xy),
inference(superposition,[status(thm)],[c_13254,c_57]) ).
tcf(c_13288,plain,
sdtpldt0(sdtpldt0(xz,xy),sz00) = sdtpldt0(xz,xy),
inference(superposition,[status(thm)],[c_13254,c_56]) ).
tcf(c_13356,plain,
( aElement0(sdtpldt0(iPr_def_10,xz))
| ~ aElement0(iPr_def_10)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_11541,c_52]) ).
tcf(c_13357,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xz),xJ)
| ~ aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(xz,xJ) ),
inference(superposition,[status(thm)],[c_11541,c_954]) ).
tcf(c_13358,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xz),xI)
| ~ aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(xz,xI) ),
inference(superposition,[status(thm)],[c_11541,c_930]) ).
tcf(c_13359,plain,
aElement0(sdtpldt0(iPr_def_10,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_13356,c_3184,c_103]) ).
tcf(c_13366,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xz),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_3264]) ).
tcf(c_13367,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xz),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_3263]) ).
tcf(c_13368,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xz),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_3262]) ).
tcf(c_13369,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xz),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_3261]) ).
tcf(c_13370,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xz),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_3257]) ).
tcf(c_13371,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xz),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_3256]) ).
tcf(c_13372,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_10,xz))) = smndt0(sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_2598]) ).
tcf(c_13373,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,xz)),sz10) = smndt0(sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_2587]) ).
tcf(c_13374,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_10,xz))) = smndt0(sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_2576]) ).
tcf(c_13375,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,xz)),sz00) = smndt0(sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_2565]) ).
tcf(c_13376,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_10,xz))) = sz00,
inference(superposition,[status(thm)],[c_13359,c_2644]) ).
tcf(c_13377,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13359,c_2633]) ).
tcf(c_13378,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_10,xz)),sdtasdt0(X1,sdtpldt0(iPr_def_10,xz))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_10,xz)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13359,c_65]) ).
tcf(c_13379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_10,xz),X0),sdtasdt0(sdtpldt0(iPr_def_10,xz),X1)) = sdtasdt0(sdtpldt0(iPr_def_10,xz),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13359,c_64]) ).
tcf(c_13380,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_10,xz),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_10,xz),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13359,c_61]) ).
tcf(c_13381,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_10,xz),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_10,xz),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13359,c_55]) ).
tcf(c_13382,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_10,xz),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_10,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13359,c_60]) ).
tcf(c_13383,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_10,xz),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_10,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13359,c_54]) ).
tcf(c_13384,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xz),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_67]) ).
tcf(c_13385,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_10,xz)) = smndt0(sdtpldt0(iPr_def_10,xz)),
inference(superposition,[status(thm)],[c_13359,c_66]) ).
tcf(c_13386,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,xz)),sdtpldt0(iPr_def_10,xz)) = sz00,
inference(superposition,[status(thm)],[c_13359,c_59]) ).
tcf(c_13387,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xz),smndt0(sdtpldt0(iPr_def_10,xz))) = sz00,
inference(superposition,[status(thm)],[c_13359,c_58]) ).
tcf(c_13388,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_10,xz)) = sz00,
inference(superposition,[status(thm)],[c_13359,c_69]) ).
tcf(c_13389,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_13359,c_68]) ).
tcf(c_13390,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_10,xz)) = sdtpldt0(iPr_def_10,xz),
inference(superposition,[status(thm)],[c_13359,c_63]) ).
tcf(c_13391,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xz),sz10) = sdtpldt0(iPr_def_10,xz),
inference(superposition,[status(thm)],[c_13359,c_62]) ).
tcf(c_13392,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_10,xz)) = sdtpldt0(iPr_def_10,xz),
inference(superposition,[status(thm)],[c_13359,c_57]) ).
tcf(c_13393,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xz),sz00) = sdtpldt0(iPr_def_10,xz),
inference(superposition,[status(thm)],[c_13359,c_56]) ).
tcf(c_13544,plain,
( aElement0(sdtpldt0(iPr_def_12,xz))
| ~ aElement0(iPr_def_12)
| ~ aElement0(xz) ),
inference(superposition,[status(thm)],[c_11542,c_52]) ).
tcf(c_13545,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xz),xJ)
| ~ aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(xz,xJ) ),
inference(superposition,[status(thm)],[c_11542,c_954]) ).
tcf(c_13546,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xz),xI)
| ~ aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(xz,xI) ),
inference(superposition,[status(thm)],[c_11542,c_930]) ).
tcf(c_13547,plain,
aElement0(sdtpldt0(iPr_def_12,xz)),
inference(forward_subsumption_resolution,[status(thm)],[c_13544,c_2900,c_103]) ).
tcf(c_13554,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xz),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_3264]) ).
tcf(c_13555,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xz),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_3263]) ).
tcf(c_13556,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xz),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_3262]) ).
tcf(c_13557,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xz),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_3261]) ).
tcf(c_13558,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xz),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_3257]) ).
tcf(c_13559,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xz),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_3256]) ).
tcf(c_13560,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_12,xz))) = smndt0(sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_2598]) ).
tcf(c_13561,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,xz)),sz10) = smndt0(sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_2587]) ).
tcf(c_13562,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_12,xz))) = smndt0(sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_2576]) ).
tcf(c_13563,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,xz)),sz00) = smndt0(sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_2565]) ).
tcf(c_13564,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_12,xz))) = sz00,
inference(superposition,[status(thm)],[c_13547,c_2644]) ).
tcf(c_13565,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13547,c_2633]) ).
tcf(c_13566,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_12,xz)),sdtasdt0(X1,sdtpldt0(iPr_def_12,xz))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_12,xz)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13547,c_65]) ).
tcf(c_13567,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_12,xz),X0),sdtasdt0(sdtpldt0(iPr_def_12,xz),X1)) = sdtasdt0(sdtpldt0(iPr_def_12,xz),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13547,c_64]) ).
tcf(c_13568,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_12,xz),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_12,xz),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13547,c_61]) ).
tcf(c_13569,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_12,xz),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_12,xz),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13547,c_55]) ).
tcf(c_13570,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_12,xz),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_12,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13547,c_60]) ).
tcf(c_13571,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_12,xz),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_12,xz)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13547,c_54]) ).
tcf(c_13572,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xz),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_67]) ).
tcf(c_13573,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_12,xz)) = smndt0(sdtpldt0(iPr_def_12,xz)),
inference(superposition,[status(thm)],[c_13547,c_66]) ).
tcf(c_13574,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,xz)),sdtpldt0(iPr_def_12,xz)) = sz00,
inference(superposition,[status(thm)],[c_13547,c_59]) ).
tcf(c_13575,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xz),smndt0(sdtpldt0(iPr_def_12,xz))) = sz00,
inference(superposition,[status(thm)],[c_13547,c_58]) ).
tcf(c_13576,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_12,xz)) = sz00,
inference(superposition,[status(thm)],[c_13547,c_69]) ).
tcf(c_13577,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xz),sz00) = sz00,
inference(superposition,[status(thm)],[c_13547,c_68]) ).
tcf(c_13578,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_12,xz)) = sdtpldt0(iPr_def_12,xz),
inference(superposition,[status(thm)],[c_13547,c_63]) ).
tcf(c_13579,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xz),sz10) = sdtpldt0(iPr_def_12,xz),
inference(superposition,[status(thm)],[c_13547,c_62]) ).
tcf(c_13580,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_12,xz)) = sdtpldt0(iPr_def_12,xz),
inference(superposition,[status(thm)],[c_13547,c_57]) ).
tcf(c_13581,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xz),sz00) = sdtpldt0(iPr_def_12,xz),
inference(superposition,[status(thm)],[c_13547,c_56]) ).
tcf(c_13650,plain,
( aElementOf0(sdtpldt0(xk,xm),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(xk,xJ) ),
inference(superposition,[status(thm)],[c_11921,c_954]) ).
tcf(c_13655,plain,
( aElement0(sdtpldt0(xk,xn))
| ~ aElement0(xn)
| ~ aElement0(xk) ),
inference(superposition,[status(thm)],[c_11922,c_52]) ).
tcf(c_13656,plain,
( aElementOf0(sdtpldt0(xk,xn),xJ)
| ~ aElementOf0(xn,xJ)
| ~ aElementOf0(xk,xJ) ),
inference(superposition,[status(thm)],[c_11922,c_954]) ).
tcf(c_13657,plain,
( aElementOf0(sdtpldt0(xk,xn),xI)
| ~ aElementOf0(xn,xI)
| ~ aElementOf0(xk,xI) ),
inference(superposition,[status(thm)],[c_11922,c_930]) ).
tcf(c_13658,plain,
aElement0(sdtpldt0(xk,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_13655,c_2671,c_2674]) ).
tcf(c_13659,plain,
( aElementOf0(sdtpldt0(xk,xn),xI)
| ~ aElementOf0(xn,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13657,c_104]) ).
tcf(c_13662,plain,
( aElementOf0(sdtpldt0(xk,xn),xJ)
| ~ aElementOf0(xk,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13656,c_108]) ).
tcf(c_13665,plain,
sdtpldt0(sdtpldt0(xk,xn),xm) = sdtpldt0(xm,sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_3264]) ).
tcf(c_13666,plain,
sdtpldt0(sdtpldt0(xk,xn),xl) = sdtpldt0(xl,sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_3263]) ).
tcf(c_13667,plain,
sdtpldt0(sdtpldt0(xk,xn),xk) = sdtpldt0(xk,sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_3262]) ).
tcf(c_13668,plain,
sdtpldt0(sdtpldt0(xk,xn),xz) = sdtpldt0(xz,sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_3261]) ).
tcf(c_13669,plain,
sdtpldt0(sdtpldt0(xk,xn),sz10) = sdtpldt0(sz10,sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_3257]) ).
tcf(c_13670,plain,
sdtpldt0(sdtpldt0(xk,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_3256]) ).
tcf(c_13671,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,xn))) = smndt0(sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_2598]) ).
tcf(c_13672,plain,
sdtasdt0(smndt0(sdtpldt0(xk,xn)),sz10) = smndt0(sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_2587]) ).
tcf(c_13673,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,xn))) = smndt0(sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_2576]) ).
tcf(c_13674,plain,
sdtpldt0(smndt0(sdtpldt0(xk,xn)),sz00) = smndt0(sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_2565]) ).
tcf(c_13675,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,xn))) = sz00,
inference(superposition,[status(thm)],[c_13658,c_2644]) ).
tcf(c_13676,plain,
sdtasdt0(smndt0(sdtpldt0(xk,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13658,c_2633]) ).
tcf(c_13677,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,xn)),sdtasdt0(X1,sdtpldt0(xk,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,xn)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13658,c_65]) ).
tcf(c_13678,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,xn),X0),sdtasdt0(sdtpldt0(xk,xn),X1)) = sdtasdt0(sdtpldt0(xk,xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13658,c_64]) ).
tcf(c_13679,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,xn),X0),X1) = sdtasdt0(sdtpldt0(xk,xn),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13658,c_61]) ).
tcf(c_13680,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,xn),X0),X1) = sdtpldt0(sdtpldt0(xk,xn),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13658,c_55]) ).
tcf(c_13681,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,xn),X0) = sdtasdt0(X0,sdtpldt0(xk,xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13658,c_60]) ).
tcf(c_13682,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,xn),X0) = sdtpldt0(X0,sdtpldt0(xk,xn)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13658,c_54]) ).
tcf(c_13683,plain,
sdtasdt0(sdtpldt0(xk,xn),smndt0(sz10)) = smndt0(sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_67]) ).
tcf(c_13684,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,xn)) = smndt0(sdtpldt0(xk,xn)),
inference(superposition,[status(thm)],[c_13658,c_66]) ).
tcf(c_13685,plain,
sdtpldt0(smndt0(sdtpldt0(xk,xn)),sdtpldt0(xk,xn)) = sz00,
inference(superposition,[status(thm)],[c_13658,c_59]) ).
tcf(c_13686,plain,
sdtpldt0(sdtpldt0(xk,xn),smndt0(sdtpldt0(xk,xn))) = sz00,
inference(superposition,[status(thm)],[c_13658,c_58]) ).
tcf(c_13687,plain,
sdtasdt0(sz00,sdtpldt0(xk,xn)) = sz00,
inference(superposition,[status(thm)],[c_13658,c_69]) ).
tcf(c_13688,plain,
sdtasdt0(sdtpldt0(xk,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_13658,c_68]) ).
tcf(c_13689,plain,
sdtasdt0(sz10,sdtpldt0(xk,xn)) = sdtpldt0(xk,xn),
inference(superposition,[status(thm)],[c_13658,c_63]) ).
tcf(c_13690,plain,
sdtasdt0(sdtpldt0(xk,xn),sz10) = sdtpldt0(xk,xn),
inference(superposition,[status(thm)],[c_13658,c_62]) ).
tcf(c_13691,plain,
sdtpldt0(sz00,sdtpldt0(xk,xn)) = sdtpldt0(xk,xn),
inference(superposition,[status(thm)],[c_13658,c_57]) ).
tcf(c_13692,plain,
sdtpldt0(sdtpldt0(xk,xn),sz00) = sdtpldt0(xk,xn),
inference(superposition,[status(thm)],[c_13658,c_56]) ).
tcf(c_13787,plain,
( aElement0(sdtpldt0(xx,xk))
| ~ aElement0(xk)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_11927,c_52]) ).
tcf(c_13788,plain,
( aElementOf0(sdtpldt0(xx,xk),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(xx,xJ) ),
inference(superposition,[status(thm)],[c_11927,c_954]) ).
tcf(c_13789,plain,
( aElementOf0(sdtpldt0(xx,xk),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(xx,xI) ),
inference(superposition,[status(thm)],[c_11927,c_930]) ).
tcf(c_13790,plain,
aElement0(sdtpldt0(xx,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_13787,c_2674,c_2826]) ).
tcf(c_13791,plain,
( aElementOf0(sdtpldt0(xx,xk),xI)
| ~ aElementOf0(xx,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13789,c_104]) ).
tcf(c_13797,plain,
sdtpldt0(sdtpldt0(xx,xk),xm) = sdtpldt0(xm,sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_3264]) ).
tcf(c_13798,plain,
sdtpldt0(sdtpldt0(xx,xk),xl) = sdtpldt0(xl,sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_3263]) ).
tcf(c_13799,plain,
sdtpldt0(sdtpldt0(xx,xk),xk) = sdtpldt0(xk,sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_3262]) ).
tcf(c_13800,plain,
sdtpldt0(sdtpldt0(xx,xk),xz) = sdtpldt0(xz,sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_3261]) ).
tcf(c_13801,plain,
sdtpldt0(sdtpldt0(xx,xk),sz10) = sdtpldt0(sz10,sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_3257]) ).
tcf(c_13802,plain,
sdtpldt0(sdtpldt0(xx,xk),sz00) = sdtpldt0(sz00,sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_3256]) ).
tcf(c_13803,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xx,xk))) = smndt0(sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_2598]) ).
tcf(c_13804,plain,
sdtasdt0(smndt0(sdtpldt0(xx,xk)),sz10) = smndt0(sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_2587]) ).
tcf(c_13805,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xx,xk))) = smndt0(sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_2576]) ).
tcf(c_13806,plain,
sdtpldt0(smndt0(sdtpldt0(xx,xk)),sz00) = smndt0(sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_2565]) ).
tcf(c_13807,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xx,xk))) = sz00,
inference(superposition,[status(thm)],[c_13790,c_2644]) ).
tcf(c_13808,plain,
sdtasdt0(smndt0(sdtpldt0(xx,xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13790,c_2633]) ).
tcf(c_13809,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xx,xk)),sdtasdt0(X1,sdtpldt0(xx,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xx,xk)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13790,c_65]) ).
tcf(c_13810,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xx,xk),X0),sdtasdt0(sdtpldt0(xx,xk),X1)) = sdtasdt0(sdtpldt0(xx,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13790,c_64]) ).
tcf(c_13811,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xx,xk),X0),X1) = sdtasdt0(sdtpldt0(xx,xk),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13790,c_61]) ).
tcf(c_13812,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xx,xk),X0),X1) = sdtpldt0(sdtpldt0(xx,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13790,c_55]) ).
tcf(c_13813,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xx,xk),X0) = sdtasdt0(X0,sdtpldt0(xx,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13790,c_60]) ).
tcf(c_13814,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xx,xk),X0) = sdtpldt0(X0,sdtpldt0(xx,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13790,c_54]) ).
tcf(c_13815,plain,
sdtasdt0(sdtpldt0(xx,xk),smndt0(sz10)) = smndt0(sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_67]) ).
tcf(c_13816,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xx,xk)) = smndt0(sdtpldt0(xx,xk)),
inference(superposition,[status(thm)],[c_13790,c_66]) ).
tcf(c_13817,plain,
sdtpldt0(smndt0(sdtpldt0(xx,xk)),sdtpldt0(xx,xk)) = sz00,
inference(superposition,[status(thm)],[c_13790,c_59]) ).
tcf(c_13818,plain,
sdtpldt0(sdtpldt0(xx,xk),smndt0(sdtpldt0(xx,xk))) = sz00,
inference(superposition,[status(thm)],[c_13790,c_58]) ).
tcf(c_13819,plain,
sdtasdt0(sz00,sdtpldt0(xx,xk)) = sz00,
inference(superposition,[status(thm)],[c_13790,c_69]) ).
tcf(c_13820,plain,
sdtasdt0(sdtpldt0(xx,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_13790,c_68]) ).
tcf(c_13821,plain,
sdtasdt0(sz10,sdtpldt0(xx,xk)) = sdtpldt0(xx,xk),
inference(superposition,[status(thm)],[c_13790,c_63]) ).
tcf(c_13822,plain,
sdtasdt0(sdtpldt0(xx,xk),sz10) = sdtpldt0(xx,xk),
inference(superposition,[status(thm)],[c_13790,c_62]) ).
tcf(c_13823,plain,
sdtpldt0(sz00,sdtpldt0(xx,xk)) = sdtpldt0(xx,xk),
inference(superposition,[status(thm)],[c_13790,c_57]) ).
tcf(c_13824,plain,
sdtpldt0(sdtpldt0(xx,xk),sz00) = sdtpldt0(xx,xk),
inference(superposition,[status(thm)],[c_13790,c_56]) ).
tcf(c_13915,plain,
( aElement0(sdtpldt0(xk,xy))
| ~ aElement0(xk)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_11928,c_52]) ).
tcf(c_13916,plain,
( aElementOf0(sdtpldt0(xk,xy),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(xy,xJ) ),
inference(superposition,[status(thm)],[c_11928,c_954]) ).
tcf(c_13917,plain,
( aElementOf0(sdtpldt0(xk,xy),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(xy,xI) ),
inference(superposition,[status(thm)],[c_11928,c_930]) ).
tcf(c_13918,plain,
aElement0(sdtpldt0(xk,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_13915,c_2674,c_2842]) ).
tcf(c_13919,plain,
( aElementOf0(sdtpldt0(xk,xy),xI)
| ~ aElementOf0(xy,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13917,c_104]) ).
tcf(c_13943,plain,
sdtpldt0(sdtpldt0(xk,xy),xm) = sdtpldt0(xm,sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_3264]) ).
tcf(c_13944,plain,
sdtpldt0(sdtpldt0(xk,xy),xl) = sdtpldt0(xl,sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_3263]) ).
tcf(c_13945,plain,
sdtpldt0(sdtpldt0(xk,xy),xk) = sdtpldt0(xk,sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_3262]) ).
tcf(c_13946,plain,
sdtpldt0(sdtpldt0(xk,xy),xz) = sdtpldt0(xz,sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_3261]) ).
tcf(c_13947,plain,
sdtpldt0(sdtpldt0(xk,xy),sz10) = sdtpldt0(sz10,sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_3257]) ).
tcf(c_13948,plain,
sdtpldt0(sdtpldt0(xk,xy),sz00) = sdtpldt0(sz00,sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_3256]) ).
tcf(c_13949,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,xy))) = smndt0(sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_2598]) ).
tcf(c_13950,plain,
sdtasdt0(smndt0(sdtpldt0(xk,xy)),sz10) = smndt0(sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_2587]) ).
tcf(c_13951,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,xy))) = smndt0(sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_2576]) ).
tcf(c_13952,plain,
sdtpldt0(smndt0(sdtpldt0(xk,xy)),sz00) = smndt0(sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_2565]) ).
tcf(c_13953,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,xy))) = sz00,
inference(superposition,[status(thm)],[c_13918,c_2644]) ).
tcf(c_13954,plain,
sdtasdt0(smndt0(sdtpldt0(xk,xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13918,c_2633]) ).
tcf(c_13955,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,xy)),sdtasdt0(X1,sdtpldt0(xk,xy))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,xy)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_65]) ).
tcf(c_13956,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,xy),X0),sdtasdt0(sdtpldt0(xk,xy),X1)) = sdtasdt0(sdtpldt0(xk,xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_64]) ).
tcf(c_13957,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,xy),X0),X1) = sdtasdt0(sdtpldt0(xk,xy),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_61]) ).
tcf(c_13958,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,xy),X0),X1) = sdtpldt0(sdtpldt0(xk,xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_55]) ).
tcf(c_13959,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,xy),X0) = sdtasdt0(X0,sdtpldt0(xk,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_60]) ).
tcf(c_13960,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,xy),X0) = sdtpldt0(X0,sdtpldt0(xk,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13918,c_54]) ).
tcf(c_13961,plain,
sdtasdt0(sdtpldt0(xk,xy),smndt0(sz10)) = smndt0(sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_67]) ).
tcf(c_13962,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,xy)) = smndt0(sdtpldt0(xk,xy)),
inference(superposition,[status(thm)],[c_13918,c_66]) ).
tcf(c_13963,plain,
sdtpldt0(smndt0(sdtpldt0(xk,xy)),sdtpldt0(xk,xy)) = sz00,
inference(superposition,[status(thm)],[c_13918,c_59]) ).
tcf(c_13964,plain,
sdtpldt0(sdtpldt0(xk,xy),smndt0(sdtpldt0(xk,xy))) = sz00,
inference(superposition,[status(thm)],[c_13918,c_58]) ).
tcf(c_13965,plain,
sdtasdt0(sz00,sdtpldt0(xk,xy)) = sz00,
inference(superposition,[status(thm)],[c_13918,c_69]) ).
tcf(c_13966,plain,
sdtasdt0(sdtpldt0(xk,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_13918,c_68]) ).
tcf(c_13967,plain,
sdtasdt0(sz10,sdtpldt0(xk,xy)) = sdtpldt0(xk,xy),
inference(superposition,[status(thm)],[c_13918,c_63]) ).
tcf(c_13968,plain,
sdtasdt0(sdtpldt0(xk,xy),sz10) = sdtpldt0(xk,xy),
inference(superposition,[status(thm)],[c_13918,c_62]) ).
tcf(c_13969,plain,
sdtpldt0(sz00,sdtpldt0(xk,xy)) = sdtpldt0(xk,xy),
inference(superposition,[status(thm)],[c_13918,c_57]) ).
tcf(c_13970,plain,
sdtpldt0(sdtpldt0(xk,xy),sz00) = sdtpldt0(xk,xy),
inference(superposition,[status(thm)],[c_13918,c_56]) ).
tcf(c_14034,plain,
( aElement0(sdtpldt0(iPr_def_10,xk))
| ~ aElement0(iPr_def_10)
| ~ aElement0(xk) ),
inference(superposition,[status(thm)],[c_11929,c_52]) ).
tcf(c_14035,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xk),xJ)
| ~ aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(xk,xJ) ),
inference(superposition,[status(thm)],[c_11929,c_954]) ).
tcf(c_14036,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xk),xI)
| ~ aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(xk,xI) ),
inference(superposition,[status(thm)],[c_11929,c_930]) ).
tcf(c_14037,plain,
aElement0(sdtpldt0(iPr_def_10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_14034,c_3184,c_2674]) ).
tcf(c_14038,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xk),xI)
| ~ aElementOf0(iPr_def_10,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14036,c_104]) ).
tcf(c_14044,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xk),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_3264]) ).
tcf(c_14045,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xk),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_3263]) ).
tcf(c_14046,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xk),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_3262]) ).
tcf(c_14047,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xk),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_3261]) ).
tcf(c_14048,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xk),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_3257]) ).
tcf(c_14049,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xk),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_3256]) ).
tcf(c_14050,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_10,xk))) = smndt0(sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_2598]) ).
tcf(c_14051,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,xk)),sz10) = smndt0(sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_2587]) ).
tcf(c_14052,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_10,xk))) = smndt0(sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_2576]) ).
tcf(c_14053,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,xk)),sz00) = smndt0(sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_2565]) ).
tcf(c_14054,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_10,xk))) = sz00,
inference(superposition,[status(thm)],[c_14037,c_2644]) ).
tcf(c_14055,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14037,c_2633]) ).
tcf(c_14056,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_10,xk)),sdtasdt0(X1,sdtpldt0(iPr_def_10,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_10,xk)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14037,c_65]) ).
tcf(c_14057,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_10,xk),X0),sdtasdt0(sdtpldt0(iPr_def_10,xk),X1)) = sdtasdt0(sdtpldt0(iPr_def_10,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14037,c_64]) ).
tcf(c_14058,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_10,xk),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_10,xk),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14037,c_61]) ).
tcf(c_14059,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_10,xk),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_10,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14037,c_55]) ).
tcf(c_14060,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_10,xk),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_10,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14037,c_60]) ).
tcf(c_14061,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_10,xk),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_10,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14037,c_54]) ).
tcf(c_14062,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xk),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_67]) ).
tcf(c_14063,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_10,xk)) = smndt0(sdtpldt0(iPr_def_10,xk)),
inference(superposition,[status(thm)],[c_14037,c_66]) ).
tcf(c_14064,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,xk)),sdtpldt0(iPr_def_10,xk)) = sz00,
inference(superposition,[status(thm)],[c_14037,c_59]) ).
tcf(c_14065,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xk),smndt0(sdtpldt0(iPr_def_10,xk))) = sz00,
inference(superposition,[status(thm)],[c_14037,c_58]) ).
tcf(c_14066,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_10,xk)) = sz00,
inference(superposition,[status(thm)],[c_14037,c_69]) ).
tcf(c_14067,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_14037,c_68]) ).
tcf(c_14068,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_10,xk)) = sdtpldt0(iPr_def_10,xk),
inference(superposition,[status(thm)],[c_14037,c_63]) ).
tcf(c_14069,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xk),sz10) = sdtpldt0(iPr_def_10,xk),
inference(superposition,[status(thm)],[c_14037,c_62]) ).
tcf(c_14070,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_10,xk)) = sdtpldt0(iPr_def_10,xk),
inference(superposition,[status(thm)],[c_14037,c_57]) ).
tcf(c_14071,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xk),sz00) = sdtpldt0(iPr_def_10,xk),
inference(superposition,[status(thm)],[c_14037,c_56]) ).
tcf(c_14177,plain,
( aElement0(sdtpldt0(iPr_def_12,xk))
| ~ aElement0(iPr_def_12)
| ~ aElement0(xk) ),
inference(superposition,[status(thm)],[c_11930,c_52]) ).
tcf(c_14178,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xk),xJ)
| ~ aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(xk,xJ) ),
inference(superposition,[status(thm)],[c_11930,c_954]) ).
tcf(c_14179,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xk),xI)
| ~ aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(xk,xI) ),
inference(superposition,[status(thm)],[c_11930,c_930]) ).
tcf(c_14180,plain,
aElement0(sdtpldt0(iPr_def_12,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_14177,c_2900,c_2674]) ).
tcf(c_14181,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xk),xI)
| ~ aElementOf0(iPr_def_12,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14179,c_104]) ).
tcf(c_14187,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xk),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_3264]) ).
tcf(c_14188,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xk),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_3263]) ).
tcf(c_14189,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xk),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_3262]) ).
tcf(c_14190,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xk),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_3261]) ).
tcf(c_14191,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xk),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_3257]) ).
tcf(c_14192,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xk),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_3256]) ).
tcf(c_14193,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_12,xk))) = smndt0(sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_2598]) ).
tcf(c_14194,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,xk)),sz10) = smndt0(sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_2587]) ).
tcf(c_14195,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_12,xk))) = smndt0(sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_2576]) ).
tcf(c_14196,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,xk)),sz00) = smndt0(sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_2565]) ).
tcf(c_14197,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_12,xk))) = sz00,
inference(superposition,[status(thm)],[c_14180,c_2644]) ).
tcf(c_14198,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14180,c_2633]) ).
tcf(c_14199,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_12,xk)),sdtasdt0(X1,sdtpldt0(iPr_def_12,xk))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_12,xk)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14180,c_65]) ).
tcf(c_14200,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_12,xk),X0),sdtasdt0(sdtpldt0(iPr_def_12,xk),X1)) = sdtasdt0(sdtpldt0(iPr_def_12,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14180,c_64]) ).
tcf(c_14201,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_12,xk),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_12,xk),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14180,c_61]) ).
tcf(c_14202,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_12,xk),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_12,xk),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14180,c_55]) ).
tcf(c_14203,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_12,xk),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_12,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14180,c_60]) ).
tcf(c_14204,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_12,xk),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_12,xk)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14180,c_54]) ).
tcf(c_14205,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xk),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_67]) ).
tcf(c_14206,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_12,xk)) = smndt0(sdtpldt0(iPr_def_12,xk)),
inference(superposition,[status(thm)],[c_14180,c_66]) ).
tcf(c_14207,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,xk)),sdtpldt0(iPr_def_12,xk)) = sz00,
inference(superposition,[status(thm)],[c_14180,c_59]) ).
tcf(c_14208,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xk),smndt0(sdtpldt0(iPr_def_12,xk))) = sz00,
inference(superposition,[status(thm)],[c_14180,c_58]) ).
tcf(c_14209,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_12,xk)) = sz00,
inference(superposition,[status(thm)],[c_14180,c_69]) ).
tcf(c_14210,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_14180,c_68]) ).
tcf(c_14211,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_12,xk)) = sdtpldt0(iPr_def_12,xk),
inference(superposition,[status(thm)],[c_14180,c_63]) ).
tcf(c_14212,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xk),sz10) = sdtpldt0(iPr_def_12,xk),
inference(superposition,[status(thm)],[c_14180,c_62]) ).
tcf(c_14213,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_12,xk)) = sdtpldt0(iPr_def_12,xk),
inference(superposition,[status(thm)],[c_14180,c_57]) ).
tcf(c_14214,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xk),sz00) = sdtpldt0(iPr_def_12,xk),
inference(superposition,[status(thm)],[c_14180,c_56]) ).
tcf(c_14272,plain,
( aElement0(sdtpldt0(xl,xm))
| ~ aElement0(xm)
| ~ aElement0(xl) ),
inference(superposition,[status(thm)],[c_12066,c_52]) ).
tcf(c_14273,plain,
( aElementOf0(sdtpldt0(xl,xm),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(xl,xJ) ),
inference(superposition,[status(thm)],[c_12066,c_954]) ).
tcf(c_14274,plain,
( aElementOf0(sdtpldt0(xl,xm),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(xl,xI) ),
inference(superposition,[status(thm)],[c_12066,c_930]) ).
tcf(c_14275,plain,
aElement0(sdtpldt0(xl,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_14272,c_2672,c_2673]) ).
tcf(c_14276,plain,
( aElementOf0(sdtpldt0(xl,xm),xI)
| ~ aElementOf0(xl,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14274,c_107]) ).
tcf(c_14279,plain,
( aElementOf0(sdtpldt0(xl,xm),xJ)
| ~ aElementOf0(xm,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14273,c_105]) ).
tcf(c_14282,plain,
sdtpldt0(sdtpldt0(xl,xm),xm) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_3264]) ).
tcf(c_14283,plain,
sdtpldt0(sdtpldt0(xl,xm),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_3263]) ).
tcf(c_14284,plain,
sdtpldt0(sdtpldt0(xl,xm),xk) = sdtpldt0(xk,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_3262]) ).
tcf(c_14285,plain,
sdtpldt0(sdtpldt0(xl,xm),xz) = sdtpldt0(xz,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_3261]) ).
tcf(c_14286,plain,
sdtpldt0(sdtpldt0(xl,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_3257]) ).
tcf(c_14287,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_3256]) ).
tcf(c_14288,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,xm))) = smndt0(sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_2598]) ).
tcf(c_14289,plain,
sdtasdt0(smndt0(sdtpldt0(xl,xm)),sz10) = smndt0(sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_2587]) ).
tcf(c_14290,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,xm))) = smndt0(sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_2576]) ).
tcf(c_14291,plain,
sdtpldt0(smndt0(sdtpldt0(xl,xm)),sz00) = smndt0(sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_2565]) ).
tcf(c_14292,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_14275,c_2644]) ).
tcf(c_14293,plain,
sdtasdt0(smndt0(sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14275,c_2633]) ).
tcf(c_14294,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xm)),sdtasdt0(X1,sdtpldt0(xl,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14275,c_65]) ).
tcf(c_14295,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtasdt0(sdtpldt0(xl,xm),X1)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14275,c_64]) ).
tcf(c_14296,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xm),X0),X1) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14275,c_61]) ).
tcf(c_14297,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xm),X0),X1) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14275,c_55]) ).
tcf(c_14298,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xm),X0) = sdtasdt0(X0,sdtpldt0(xl,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14275,c_60]) ).
tcf(c_14299,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xm),X0) = sdtpldt0(X0,sdtpldt0(xl,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14275,c_54]) ).
tcf(c_14300,plain,
sdtasdt0(sdtpldt0(xl,xm),smndt0(sz10)) = smndt0(sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_67]) ).
tcf(c_14301,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,xm)) = smndt0(sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14275,c_66]) ).
tcf(c_14302,plain,
sdtpldt0(smndt0(sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_14275,c_59]) ).
tcf(c_14303,plain,
sdtpldt0(sdtpldt0(xl,xm),smndt0(sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_14275,c_58]) ).
tcf(c_14304,plain,
sdtasdt0(sz00,sdtpldt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_14275,c_69]) ).
tcf(c_14305,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_14275,c_68]) ).
tcf(c_14306,plain,
sdtasdt0(sz10,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_14275,c_63]) ).
tcf(c_14307,plain,
sdtasdt0(sdtpldt0(xl,xm),sz10) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_14275,c_62]) ).
tcf(c_14308,plain,
sdtpldt0(sz00,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_14275,c_57]) ).
tcf(c_14309,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_14275,c_56]) ).
tcf(c_14417,plain,
( aElementOf0(sdtpldt0(xl,xn),xI)
| ~ aElementOf0(xn,xI)
| ~ aElementOf0(xl,xI) ),
inference(superposition,[status(thm)],[c_12067,c_930]) ).
tcf(c_14421,plain,
( aElement0(sdtpldt0(xx,xl))
| ~ aElement0(xl)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_12072,c_52]) ).
tcf(c_14422,plain,
( aElementOf0(sdtpldt0(xx,xl),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(xx,xJ) ),
inference(superposition,[status(thm)],[c_12072,c_954]) ).
tcf(c_14423,plain,
( aElementOf0(sdtpldt0(xx,xl),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(xx,xI) ),
inference(superposition,[status(thm)],[c_12072,c_930]) ).
tcf(c_14424,plain,
aElement0(sdtpldt0(xx,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_14421,c_2673,c_2826]) ).
tcf(c_14428,plain,
( aElementOf0(sdtpldt0(xx,xl),xJ)
| ~ aElementOf0(xx,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14422,c_105]) ).
tcf(c_14431,plain,
sdtpldt0(sdtpldt0(xx,xl),xm) = sdtpldt0(xm,sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_3264]) ).
tcf(c_14432,plain,
sdtpldt0(sdtpldt0(xx,xl),xl) = sdtpldt0(xl,sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_3263]) ).
tcf(c_14433,plain,
sdtpldt0(sdtpldt0(xx,xl),xk) = sdtpldt0(xk,sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_3262]) ).
tcf(c_14434,plain,
sdtpldt0(sdtpldt0(xx,xl),xz) = sdtpldt0(xz,sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_3261]) ).
tcf(c_14435,plain,
sdtpldt0(sdtpldt0(xx,xl),sz10) = sdtpldt0(sz10,sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_3257]) ).
tcf(c_14436,plain,
sdtpldt0(sdtpldt0(xx,xl),sz00) = sdtpldt0(sz00,sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_3256]) ).
tcf(c_14437,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xx,xl))) = smndt0(sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_2598]) ).
tcf(c_14438,plain,
sdtasdt0(smndt0(sdtpldt0(xx,xl)),sz10) = smndt0(sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_2587]) ).
tcf(c_14439,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xx,xl))) = smndt0(sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_2576]) ).
tcf(c_14440,plain,
sdtpldt0(smndt0(sdtpldt0(xx,xl)),sz00) = smndt0(sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_2565]) ).
tcf(c_14441,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xx,xl))) = sz00,
inference(superposition,[status(thm)],[c_14424,c_2644]) ).
tcf(c_14442,plain,
sdtasdt0(smndt0(sdtpldt0(xx,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14424,c_2633]) ).
tcf(c_14443,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xx,xl)),sdtasdt0(X1,sdtpldt0(xx,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xx,xl)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14424,c_65]) ).
tcf(c_14444,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xx,xl),X0),sdtasdt0(sdtpldt0(xx,xl),X1)) = sdtasdt0(sdtpldt0(xx,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14424,c_64]) ).
tcf(c_14445,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xx,xl),X0),X1) = sdtasdt0(sdtpldt0(xx,xl),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14424,c_61]) ).
tcf(c_14446,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xx,xl),X0),X1) = sdtpldt0(sdtpldt0(xx,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14424,c_55]) ).
tcf(c_14447,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xx,xl),X0) = sdtasdt0(X0,sdtpldt0(xx,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14424,c_60]) ).
tcf(c_14448,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xx,xl),X0) = sdtpldt0(X0,sdtpldt0(xx,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14424,c_54]) ).
tcf(c_14449,plain,
sdtasdt0(sdtpldt0(xx,xl),smndt0(sz10)) = smndt0(sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_67]) ).
tcf(c_14450,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xx,xl)) = smndt0(sdtpldt0(xx,xl)),
inference(superposition,[status(thm)],[c_14424,c_66]) ).
tcf(c_14451,plain,
sdtpldt0(smndt0(sdtpldt0(xx,xl)),sdtpldt0(xx,xl)) = sz00,
inference(superposition,[status(thm)],[c_14424,c_59]) ).
tcf(c_14452,plain,
sdtpldt0(sdtpldt0(xx,xl),smndt0(sdtpldt0(xx,xl))) = sz00,
inference(superposition,[status(thm)],[c_14424,c_58]) ).
tcf(c_14453,plain,
sdtasdt0(sz00,sdtpldt0(xx,xl)) = sz00,
inference(superposition,[status(thm)],[c_14424,c_69]) ).
tcf(c_14454,plain,
sdtasdt0(sdtpldt0(xx,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_14424,c_68]) ).
tcf(c_14455,plain,
sdtasdt0(sz10,sdtpldt0(xx,xl)) = sdtpldt0(xx,xl),
inference(superposition,[status(thm)],[c_14424,c_63]) ).
tcf(c_14456,plain,
sdtasdt0(sdtpldt0(xx,xl),sz10) = sdtpldt0(xx,xl),
inference(superposition,[status(thm)],[c_14424,c_62]) ).
tcf(c_14457,plain,
sdtpldt0(sz00,sdtpldt0(xx,xl)) = sdtpldt0(xx,xl),
inference(superposition,[status(thm)],[c_14424,c_57]) ).
tcf(c_14458,plain,
sdtpldt0(sdtpldt0(xx,xl),sz00) = sdtpldt0(xx,xl),
inference(superposition,[status(thm)],[c_14424,c_56]) ).
tcf(c_14528,plain,
( aElement0(sdtpldt0(xl,xy))
| ~ aElement0(xl)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_12073,c_52]) ).
tcf(c_14529,plain,
( aElementOf0(sdtpldt0(xl,xy),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(xy,xJ) ),
inference(superposition,[status(thm)],[c_12073,c_954]) ).
tcf(c_14530,plain,
( aElementOf0(sdtpldt0(xl,xy),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(xy,xI) ),
inference(superposition,[status(thm)],[c_12073,c_930]) ).
tcf(c_14531,plain,
aElement0(sdtpldt0(xl,xy)),
inference(forward_subsumption_resolution,[status(thm)],[c_14528,c_2673,c_2842]) ).
tcf(c_14535,plain,
( aElementOf0(sdtpldt0(xl,xy),xJ)
| ~ aElementOf0(xy,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14529,c_105]) ).
tcf(c_14538,plain,
sdtpldt0(sdtpldt0(xl,xy),xm) = sdtpldt0(xm,sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_3264]) ).
tcf(c_14539,plain,
sdtpldt0(sdtpldt0(xl,xy),xl) = sdtpldt0(xl,sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_3263]) ).
tcf(c_14540,plain,
sdtpldt0(sdtpldt0(xl,xy),xk) = sdtpldt0(xk,sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_3262]) ).
tcf(c_14541,plain,
sdtpldt0(sdtpldt0(xl,xy),xz) = sdtpldt0(xz,sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_3261]) ).
tcf(c_14542,plain,
sdtpldt0(sdtpldt0(xl,xy),sz10) = sdtpldt0(sz10,sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_3257]) ).
tcf(c_14543,plain,
sdtpldt0(sdtpldt0(xl,xy),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_3256]) ).
tcf(c_14544,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,xy))) = smndt0(sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_2598]) ).
tcf(c_14545,plain,
sdtasdt0(smndt0(sdtpldt0(xl,xy)),sz10) = smndt0(sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_2587]) ).
tcf(c_14546,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,xy))) = smndt0(sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_2576]) ).
tcf(c_14547,plain,
sdtpldt0(smndt0(sdtpldt0(xl,xy)),sz00) = smndt0(sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_2565]) ).
tcf(c_14548,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,xy))) = sz00,
inference(superposition,[status(thm)],[c_14531,c_2644]) ).
tcf(c_14549,plain,
sdtasdt0(smndt0(sdtpldt0(xl,xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14531,c_2633]) ).
tcf(c_14550,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xy)),sdtasdt0(X1,sdtpldt0(xl,xy))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xy)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14531,c_65]) ).
tcf(c_14551,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xy),X0),sdtasdt0(sdtpldt0(xl,xy),X1)) = sdtasdt0(sdtpldt0(xl,xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14531,c_64]) ).
tcf(c_14552,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xy),X0),X1) = sdtasdt0(sdtpldt0(xl,xy),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14531,c_61]) ).
tcf(c_14553,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xy),X0),X1) = sdtpldt0(sdtpldt0(xl,xy),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14531,c_55]) ).
tcf(c_14554,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xy),X0) = sdtasdt0(X0,sdtpldt0(xl,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14531,c_60]) ).
tcf(c_14555,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xy),X0) = sdtpldt0(X0,sdtpldt0(xl,xy)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14531,c_54]) ).
tcf(c_14556,plain,
sdtasdt0(sdtpldt0(xl,xy),smndt0(sz10)) = smndt0(sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_67]) ).
tcf(c_14557,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,xy)) = smndt0(sdtpldt0(xl,xy)),
inference(superposition,[status(thm)],[c_14531,c_66]) ).
tcf(c_14558,plain,
sdtpldt0(smndt0(sdtpldt0(xl,xy)),sdtpldt0(xl,xy)) = sz00,
inference(superposition,[status(thm)],[c_14531,c_59]) ).
tcf(c_14559,plain,
sdtpldt0(sdtpldt0(xl,xy),smndt0(sdtpldt0(xl,xy))) = sz00,
inference(superposition,[status(thm)],[c_14531,c_58]) ).
tcf(c_14560,plain,
sdtasdt0(sz00,sdtpldt0(xl,xy)) = sz00,
inference(superposition,[status(thm)],[c_14531,c_69]) ).
tcf(c_14561,plain,
sdtasdt0(sdtpldt0(xl,xy),sz00) = sz00,
inference(superposition,[status(thm)],[c_14531,c_68]) ).
tcf(c_14562,plain,
sdtasdt0(sz10,sdtpldt0(xl,xy)) = sdtpldt0(xl,xy),
inference(superposition,[status(thm)],[c_14531,c_63]) ).
tcf(c_14563,plain,
sdtasdt0(sdtpldt0(xl,xy),sz10) = sdtpldt0(xl,xy),
inference(superposition,[status(thm)],[c_14531,c_62]) ).
tcf(c_14564,plain,
sdtpldt0(sz00,sdtpldt0(xl,xy)) = sdtpldt0(xl,xy),
inference(superposition,[status(thm)],[c_14531,c_57]) ).
tcf(c_14565,plain,
sdtpldt0(sdtpldt0(xl,xy),sz00) = sdtpldt0(xl,xy),
inference(superposition,[status(thm)],[c_14531,c_56]) ).
tcf(c_14621,plain,
( aElement0(sdtpldt0(iPr_def_10,xl))
| ~ aElement0(iPr_def_10)
| ~ aElement0(xl) ),
inference(superposition,[status(thm)],[c_12074,c_52]) ).
tcf(c_14622,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xl),xJ)
| ~ aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(xl,xJ) ),
inference(superposition,[status(thm)],[c_12074,c_954]) ).
tcf(c_14623,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xl),xI)
| ~ aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(xl,xI) ),
inference(superposition,[status(thm)],[c_12074,c_930]) ).
tcf(c_14624,plain,
aElement0(sdtpldt0(iPr_def_10,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_14621,c_3184,c_2673]) ).
tcf(c_14628,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xl),xJ)
| ~ aElementOf0(iPr_def_10,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14622,c_105]) ).
tcf(c_14667,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xl),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_3264]) ).
tcf(c_14668,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xl),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_3263]) ).
tcf(c_14669,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xl),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_3262]) ).
tcf(c_14670,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xl),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_3261]) ).
tcf(c_14671,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xl),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_3257]) ).
tcf(c_14672,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xl),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_3256]) ).
tcf(c_14673,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_10,xl))) = smndt0(sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_2598]) ).
tcf(c_14674,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,xl)),sz10) = smndt0(sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_2587]) ).
tcf(c_14675,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_10,xl))) = smndt0(sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_2576]) ).
tcf(c_14676,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,xl)),sz00) = smndt0(sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_2565]) ).
tcf(c_14677,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_10,xl))) = sz00,
inference(superposition,[status(thm)],[c_14624,c_2644]) ).
tcf(c_14678,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14624,c_2633]) ).
tcf(c_14679,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_10,xl)),sdtasdt0(X1,sdtpldt0(iPr_def_10,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_10,xl)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14624,c_65]) ).
tcf(c_14680,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_10,xl),X0),sdtasdt0(sdtpldt0(iPr_def_10,xl),X1)) = sdtasdt0(sdtpldt0(iPr_def_10,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14624,c_64]) ).
tcf(c_14681,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_10,xl),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_10,xl),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14624,c_61]) ).
tcf(c_14682,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_10,xl),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_10,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14624,c_55]) ).
tcf(c_14683,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_10,xl),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_10,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14624,c_60]) ).
tcf(c_14684,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_10,xl),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_10,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14624,c_54]) ).
tcf(c_14685,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xl),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_67]) ).
tcf(c_14686,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_10,xl)) = smndt0(sdtpldt0(iPr_def_10,xl)),
inference(superposition,[status(thm)],[c_14624,c_66]) ).
tcf(c_14687,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,xl)),sdtpldt0(iPr_def_10,xl)) = sz00,
inference(superposition,[status(thm)],[c_14624,c_59]) ).
tcf(c_14688,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xl),smndt0(sdtpldt0(iPr_def_10,xl))) = sz00,
inference(superposition,[status(thm)],[c_14624,c_58]) ).
tcf(c_14689,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_10,xl)) = sz00,
inference(superposition,[status(thm)],[c_14624,c_69]) ).
tcf(c_14690,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_14624,c_68]) ).
tcf(c_14691,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_10,xl)) = sdtpldt0(iPr_def_10,xl),
inference(superposition,[status(thm)],[c_14624,c_63]) ).
tcf(c_14692,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xl),sz10) = sdtpldt0(iPr_def_10,xl),
inference(superposition,[status(thm)],[c_14624,c_62]) ).
tcf(c_14693,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_10,xl)) = sdtpldt0(iPr_def_10,xl),
inference(superposition,[status(thm)],[c_14624,c_57]) ).
tcf(c_14694,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xl),sz00) = sdtpldt0(iPr_def_10,xl),
inference(superposition,[status(thm)],[c_14624,c_56]) ).
tcf(c_14780,plain,
( aElement0(sdtpldt0(iPr_def_12,xl))
| ~ aElement0(iPr_def_12)
| ~ aElement0(xl) ),
inference(superposition,[status(thm)],[c_12075,c_52]) ).
tcf(c_14781,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xl),xJ)
| ~ aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(xl,xJ) ),
inference(superposition,[status(thm)],[c_12075,c_954]) ).
tcf(c_14782,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xl),xI)
| ~ aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(xl,xI) ),
inference(superposition,[status(thm)],[c_12075,c_930]) ).
tcf(c_14783,plain,
aElement0(sdtpldt0(iPr_def_12,xl)),
inference(forward_subsumption_resolution,[status(thm)],[c_14780,c_2900,c_2673]) ).
tcf(c_14787,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xl),xJ)
| ~ aElementOf0(iPr_def_12,xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14781,c_105]) ).
tcf(c_14802,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xl),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_3264]) ).
tcf(c_14803,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xl),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_3263]) ).
tcf(c_14804,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xl),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_3262]) ).
tcf(c_14805,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xl),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_3261]) ).
tcf(c_14806,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xl),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_3257]) ).
tcf(c_14807,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xl),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_3256]) ).
tcf(c_14808,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_12,xl))) = smndt0(sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_2598]) ).
tcf(c_14809,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,xl)),sz10) = smndt0(sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_2587]) ).
tcf(c_14810,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_12,xl))) = smndt0(sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_2576]) ).
tcf(c_14811,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,xl)),sz00) = smndt0(sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_2565]) ).
tcf(c_14812,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_12,xl))) = sz00,
inference(superposition,[status(thm)],[c_14783,c_2644]) ).
tcf(c_14813,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14783,c_2633]) ).
tcf(c_14814,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_12,xl)),sdtasdt0(X1,sdtpldt0(iPr_def_12,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_12,xl)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14783,c_65]) ).
tcf(c_14815,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_12,xl),X0),sdtasdt0(sdtpldt0(iPr_def_12,xl),X1)) = sdtasdt0(sdtpldt0(iPr_def_12,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14783,c_64]) ).
tcf(c_14816,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_12,xl),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_12,xl),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14783,c_61]) ).
tcf(c_14817,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_12,xl),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_12,xl),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14783,c_55]) ).
tcf(c_14818,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_12,xl),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_12,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14783,c_60]) ).
tcf(c_14819,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_12,xl),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_12,xl)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14783,c_54]) ).
tcf(c_14820,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xl),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_67]) ).
tcf(c_14821,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_12,xl)) = smndt0(sdtpldt0(iPr_def_12,xl)),
inference(superposition,[status(thm)],[c_14783,c_66]) ).
tcf(c_14822,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,xl)),sdtpldt0(iPr_def_12,xl)) = sz00,
inference(superposition,[status(thm)],[c_14783,c_59]) ).
tcf(c_14823,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xl),smndt0(sdtpldt0(iPr_def_12,xl))) = sz00,
inference(superposition,[status(thm)],[c_14783,c_58]) ).
tcf(c_14824,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_12,xl)) = sz00,
inference(superposition,[status(thm)],[c_14783,c_69]) ).
tcf(c_14825,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_14783,c_68]) ).
tcf(c_14826,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_12,xl)) = sdtpldt0(iPr_def_12,xl),
inference(superposition,[status(thm)],[c_14783,c_63]) ).
tcf(c_14827,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xl),sz10) = sdtpldt0(iPr_def_12,xl),
inference(superposition,[status(thm)],[c_14783,c_62]) ).
tcf(c_14828,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_12,xl)) = sdtpldt0(iPr_def_12,xl),
inference(superposition,[status(thm)],[c_14783,c_57]) ).
tcf(c_14829,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xl),sz00) = sdtpldt0(iPr_def_12,xl),
inference(superposition,[status(thm)],[c_14783,c_56]) ).
tcf(c_14887,plain,
( aElement0(sdtpldt0(xx,xm))
| ~ aElement0(xm)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_12285,c_52]) ).
tcf(c_14888,plain,
( aElementOf0(sdtpldt0(xx,xm),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(xx,xJ) ),
inference(superposition,[status(thm)],[c_12285,c_954]) ).
tcf(c_14889,plain,
( aElementOf0(sdtpldt0(xx,xm),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(xx,xI) ),
inference(superposition,[status(thm)],[c_12285,c_930]) ).
tcf(c_14890,plain,
aElement0(sdtpldt0(xx,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_14887,c_2672,c_2826]) ).
tcf(c_14891,plain,
( aElementOf0(sdtpldt0(xx,xm),xI)
| ~ aElementOf0(xx,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14889,c_107]) ).
tcf(c_14897,plain,
sdtpldt0(sdtpldt0(xx,xm),xm) = sdtpldt0(xm,sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_3264]) ).
tcf(c_14898,plain,
sdtpldt0(sdtpldt0(xx,xm),xl) = sdtpldt0(xl,sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_3263]) ).
tcf(c_14899,plain,
sdtpldt0(sdtpldt0(xx,xm),xk) = sdtpldt0(xk,sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_3262]) ).
tcf(c_14900,plain,
sdtpldt0(sdtpldt0(xx,xm),xz) = sdtpldt0(xz,sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_3261]) ).
tcf(c_14901,plain,
sdtpldt0(sdtpldt0(xx,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_3257]) ).
tcf(c_14902,plain,
sdtpldt0(sdtpldt0(xx,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_3256]) ).
tcf(c_14903,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xx,xm))) = smndt0(sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_2598]) ).
tcf(c_14904,plain,
sdtasdt0(smndt0(sdtpldt0(xx,xm)),sz10) = smndt0(sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_2587]) ).
tcf(c_14905,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xx,xm))) = smndt0(sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_2576]) ).
tcf(c_14906,plain,
sdtpldt0(smndt0(sdtpldt0(xx,xm)),sz00) = smndt0(sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_2565]) ).
tcf(c_14907,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xx,xm))) = sz00,
inference(superposition,[status(thm)],[c_14890,c_2644]) ).
tcf(c_14908,plain,
sdtasdt0(smndt0(sdtpldt0(xx,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14890,c_2633]) ).
tcf(c_14909,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xx,xm)),sdtasdt0(X1,sdtpldt0(xx,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xx,xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14890,c_65]) ).
tcf(c_14910,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xx,xm),X0),sdtasdt0(sdtpldt0(xx,xm),X1)) = sdtasdt0(sdtpldt0(xx,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14890,c_64]) ).
tcf(c_14911,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xx,xm),X0),X1) = sdtasdt0(sdtpldt0(xx,xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14890,c_61]) ).
tcf(c_14912,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xx,xm),X0),X1) = sdtpldt0(sdtpldt0(xx,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14890,c_55]) ).
tcf(c_14913,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xx,xm),X0) = sdtasdt0(X0,sdtpldt0(xx,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14890,c_60]) ).
tcf(c_14914,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xx,xm),X0) = sdtpldt0(X0,sdtpldt0(xx,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14890,c_54]) ).
tcf(c_14915,plain,
sdtasdt0(sdtpldt0(xx,xm),smndt0(sz10)) = smndt0(sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_67]) ).
tcf(c_14916,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xx,xm)) = smndt0(sdtpldt0(xx,xm)),
inference(superposition,[status(thm)],[c_14890,c_66]) ).
tcf(c_14917,plain,
sdtpldt0(smndt0(sdtpldt0(xx,xm)),sdtpldt0(xx,xm)) = sz00,
inference(superposition,[status(thm)],[c_14890,c_59]) ).
tcf(c_14918,plain,
sdtpldt0(sdtpldt0(xx,xm),smndt0(sdtpldt0(xx,xm))) = sz00,
inference(superposition,[status(thm)],[c_14890,c_58]) ).
tcf(c_14919,plain,
sdtasdt0(sz00,sdtpldt0(xx,xm)) = sz00,
inference(superposition,[status(thm)],[c_14890,c_69]) ).
tcf(c_14920,plain,
sdtasdt0(sdtpldt0(xx,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_14890,c_68]) ).
tcf(c_14921,plain,
sdtasdt0(sz10,sdtpldt0(xx,xm)) = sdtpldt0(xx,xm),
inference(superposition,[status(thm)],[c_14890,c_63]) ).
tcf(c_14922,plain,
sdtasdt0(sdtpldt0(xx,xm),sz10) = sdtpldt0(xx,xm),
inference(superposition,[status(thm)],[c_14890,c_62]) ).
tcf(c_14923,plain,
sdtpldt0(sz00,sdtpldt0(xx,xm)) = sdtpldt0(xx,xm),
inference(superposition,[status(thm)],[c_14890,c_57]) ).
tcf(c_14924,plain,
sdtpldt0(sdtpldt0(xx,xm),sz00) = sdtpldt0(xx,xm),
inference(superposition,[status(thm)],[c_14890,c_56]) ).
tcf(c_15030,plain,
( aElement0(sdtpldt0(xy,xm))
| ~ aElement0(xm)
| ~ aElement0(xy) ),
inference(superposition,[status(thm)],[c_12286,c_52]) ).
tcf(c_15031,plain,
( aElementOf0(sdtpldt0(xy,xm),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(xy,xJ) ),
inference(superposition,[status(thm)],[c_12286,c_954]) ).
tcf(c_15032,plain,
( aElementOf0(sdtpldt0(xy,xm),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(xy,xI) ),
inference(superposition,[status(thm)],[c_12286,c_930]) ).
tcf(c_15033,plain,
aElement0(sdtpldt0(xy,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_15030,c_2672,c_2842]) ).
tcf(c_15034,plain,
( aElementOf0(sdtpldt0(xy,xm),xI)
| ~ aElementOf0(xy,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15032,c_107]) ).
tcf(c_15040,plain,
sdtpldt0(sdtpldt0(xy,xm),xm) = sdtpldt0(xm,sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_3264]) ).
tcf(c_15041,plain,
sdtpldt0(sdtpldt0(xy,xm),xl) = sdtpldt0(xl,sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_3263]) ).
tcf(c_15042,plain,
sdtpldt0(sdtpldt0(xy,xm),xk) = sdtpldt0(xk,sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_3262]) ).
tcf(c_15043,plain,
sdtpldt0(sdtpldt0(xy,xm),xz) = sdtpldt0(xz,sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_3261]) ).
tcf(c_15044,plain,
sdtpldt0(sdtpldt0(xy,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_3257]) ).
tcf(c_15045,plain,
sdtpldt0(sdtpldt0(xy,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_3256]) ).
tcf(c_15046,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xy,xm))) = smndt0(sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_2598]) ).
tcf(c_15047,plain,
sdtasdt0(smndt0(sdtpldt0(xy,xm)),sz10) = smndt0(sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_2587]) ).
tcf(c_15048,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xy,xm))) = smndt0(sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_2576]) ).
tcf(c_15049,plain,
sdtpldt0(smndt0(sdtpldt0(xy,xm)),sz00) = smndt0(sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_2565]) ).
tcf(c_15050,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xy,xm))) = sz00,
inference(superposition,[status(thm)],[c_15033,c_2644]) ).
tcf(c_15051,plain,
sdtasdt0(smndt0(sdtpldt0(xy,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15033,c_2633]) ).
tcf(c_15052,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xy,xm)),sdtasdt0(X1,sdtpldt0(xy,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xy,xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15033,c_65]) ).
tcf(c_15053,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xy,xm),X0),sdtasdt0(sdtpldt0(xy,xm),X1)) = sdtasdt0(sdtpldt0(xy,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15033,c_64]) ).
tcf(c_15054,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xy,xm),X0),X1) = sdtasdt0(sdtpldt0(xy,xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15033,c_61]) ).
tcf(c_15055,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xy,xm),X0),X1) = sdtpldt0(sdtpldt0(xy,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15033,c_55]) ).
tcf(c_15056,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xy,xm),X0) = sdtasdt0(X0,sdtpldt0(xy,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15033,c_60]) ).
tcf(c_15057,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xy,xm),X0) = sdtpldt0(X0,sdtpldt0(xy,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15033,c_54]) ).
tcf(c_15058,plain,
sdtasdt0(sdtpldt0(xy,xm),smndt0(sz10)) = smndt0(sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_67]) ).
tcf(c_15059,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xy,xm)) = smndt0(sdtpldt0(xy,xm)),
inference(superposition,[status(thm)],[c_15033,c_66]) ).
tcf(c_15060,plain,
sdtpldt0(smndt0(sdtpldt0(xy,xm)),sdtpldt0(xy,xm)) = sz00,
inference(superposition,[status(thm)],[c_15033,c_59]) ).
tcf(c_15061,plain,
sdtpldt0(sdtpldt0(xy,xm),smndt0(sdtpldt0(xy,xm))) = sz00,
inference(superposition,[status(thm)],[c_15033,c_58]) ).
tcf(c_15062,plain,
sdtasdt0(sz00,sdtpldt0(xy,xm)) = sz00,
inference(superposition,[status(thm)],[c_15033,c_69]) ).
tcf(c_15063,plain,
sdtasdt0(sdtpldt0(xy,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_15033,c_68]) ).
tcf(c_15064,plain,
sdtasdt0(sz10,sdtpldt0(xy,xm)) = sdtpldt0(xy,xm),
inference(superposition,[status(thm)],[c_15033,c_63]) ).
tcf(c_15065,plain,
sdtasdt0(sdtpldt0(xy,xm),sz10) = sdtpldt0(xy,xm),
inference(superposition,[status(thm)],[c_15033,c_62]) ).
tcf(c_15066,plain,
sdtpldt0(sz00,sdtpldt0(xy,xm)) = sdtpldt0(xy,xm),
inference(superposition,[status(thm)],[c_15033,c_57]) ).
tcf(c_15067,plain,
sdtpldt0(sdtpldt0(xy,xm),sz00) = sdtpldt0(xy,xm),
inference(superposition,[status(thm)],[c_15033,c_56]) ).
tcf(c_15131,plain,
( aElement0(sdtpldt0(iPr_def_10,xm))
| ~ aElement0(iPr_def_10)
| ~ aElement0(xm) ),
inference(superposition,[status(thm)],[c_12287,c_52]) ).
tcf(c_15132,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xm),xJ)
| ~ aElementOf0(iPr_def_10,xJ)
| ~ aElementOf0(xm,xJ) ),
inference(superposition,[status(thm)],[c_12287,c_954]) ).
tcf(c_15133,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xm),xI)
| ~ aElementOf0(iPr_def_10,xI)
| ~ aElementOf0(xm,xI) ),
inference(superposition,[status(thm)],[c_12287,c_930]) ).
tcf(c_15134,plain,
aElement0(sdtpldt0(iPr_def_10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_15131,c_3184,c_2672]) ).
tcf(c_15135,plain,
( aElementOf0(sdtpldt0(iPr_def_10,xm),xI)
| ~ aElementOf0(iPr_def_10,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15133,c_107]) ).
tcf(c_15141,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xm),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_3264]) ).
tcf(c_15142,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xm),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_3263]) ).
tcf(c_15143,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xm),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_3262]) ).
tcf(c_15144,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xm),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_3261]) ).
tcf(c_15145,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xm),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_3257]) ).
tcf(c_15146,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xm),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_3256]) ).
tcf(c_15147,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_10,xm))) = smndt0(sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_2598]) ).
tcf(c_15148,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,xm)),sz10) = smndt0(sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_2587]) ).
tcf(c_15149,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_10,xm))) = smndt0(sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_2576]) ).
tcf(c_15150,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,xm)),sz00) = smndt0(sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_2565]) ).
tcf(c_15151,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_10,xm))) = sz00,
inference(superposition,[status(thm)],[c_15134,c_2644]) ).
tcf(c_15152,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_10,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15134,c_2633]) ).
tcf(c_15153,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_10,xm)),sdtasdt0(X1,sdtpldt0(iPr_def_10,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_10,xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15134,c_65]) ).
tcf(c_15154,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_10,xm),X0),sdtasdt0(sdtpldt0(iPr_def_10,xm),X1)) = sdtasdt0(sdtpldt0(iPr_def_10,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15134,c_64]) ).
tcf(c_15155,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_10,xm),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_10,xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15134,c_61]) ).
tcf(c_15156,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_10,xm),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_10,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15134,c_55]) ).
tcf(c_15157,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_10,xm),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_10,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15134,c_60]) ).
tcf(c_15158,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_10,xm),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_10,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15134,c_54]) ).
tcf(c_15159,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xm),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_67]) ).
tcf(c_15160,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_10,xm)) = smndt0(sdtpldt0(iPr_def_10,xm)),
inference(superposition,[status(thm)],[c_15134,c_66]) ).
tcf(c_15161,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_10,xm)),sdtpldt0(iPr_def_10,xm)) = sz00,
inference(superposition,[status(thm)],[c_15134,c_59]) ).
tcf(c_15162,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xm),smndt0(sdtpldt0(iPr_def_10,xm))) = sz00,
inference(superposition,[status(thm)],[c_15134,c_58]) ).
tcf(c_15163,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_10,xm)) = sz00,
inference(superposition,[status(thm)],[c_15134,c_69]) ).
tcf(c_15164,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_15134,c_68]) ).
tcf(c_15165,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_10,xm)) = sdtpldt0(iPr_def_10,xm),
inference(superposition,[status(thm)],[c_15134,c_63]) ).
tcf(c_15166,plain,
sdtasdt0(sdtpldt0(iPr_def_10,xm),sz10) = sdtpldt0(iPr_def_10,xm),
inference(superposition,[status(thm)],[c_15134,c_62]) ).
tcf(c_15167,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_10,xm)) = sdtpldt0(iPr_def_10,xm),
inference(superposition,[status(thm)],[c_15134,c_57]) ).
tcf(c_15168,plain,
sdtpldt0(sdtpldt0(iPr_def_10,xm),sz00) = sdtpldt0(iPr_def_10,xm),
inference(superposition,[status(thm)],[c_15134,c_56]) ).
tcf(c_15240,plain,
( aElement0(sdtpldt0(iPr_def_12,xm))
| ~ aElement0(iPr_def_12)
| ~ aElement0(xm) ),
inference(superposition,[status(thm)],[c_12288,c_52]) ).
tcf(c_15241,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xm),xJ)
| ~ aElementOf0(iPr_def_12,xJ)
| ~ aElementOf0(xm,xJ) ),
inference(superposition,[status(thm)],[c_12288,c_954]) ).
tcf(c_15242,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xm),xI)
| ~ aElementOf0(iPr_def_12,xI)
| ~ aElementOf0(xm,xI) ),
inference(superposition,[status(thm)],[c_12288,c_930]) ).
tcf(c_15243,plain,
aElement0(sdtpldt0(iPr_def_12,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_15240,c_2900,c_2672]) ).
tcf(c_15244,plain,
( aElementOf0(sdtpldt0(iPr_def_12,xm),xI)
| ~ aElementOf0(iPr_def_12,xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15242,c_107]) ).
tcf(c_15284,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xm),xm) = sdtpldt0(xm,sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_3264]) ).
tcf(c_15285,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xm),xl) = sdtpldt0(xl,sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_3263]) ).
tcf(c_15286,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xm),xk) = sdtpldt0(xk,sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_3262]) ).
tcf(c_15287,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xm),xz) = sdtpldt0(xz,sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_3261]) ).
tcf(c_15288,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xm),sz10) = sdtpldt0(sz10,sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_3257]) ).
tcf(c_15289,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xm),sz00) = sdtpldt0(sz00,sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_3256]) ).
tcf(c_15290,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(iPr_def_12,xm))) = smndt0(sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_2598]) ).
tcf(c_15291,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,xm)),sz10) = smndt0(sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_2587]) ).
tcf(c_15292,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(iPr_def_12,xm))) = smndt0(sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_2576]) ).
tcf(c_15293,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,xm)),sz00) = smndt0(sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_2565]) ).
tcf(c_15294,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(iPr_def_12,xm))) = sz00,
inference(superposition,[status(thm)],[c_15243,c_2644]) ).
tcf(c_15295,plain,
sdtasdt0(smndt0(sdtpldt0(iPr_def_12,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15243,c_2633]) ).
tcf(c_15296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(iPr_def_12,xm)),sdtasdt0(X1,sdtpldt0(iPr_def_12,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(iPr_def_12,xm)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15243,c_65]) ).
tcf(c_15297,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(iPr_def_12,xm),X0),sdtasdt0(sdtpldt0(iPr_def_12,xm),X1)) = sdtasdt0(sdtpldt0(iPr_def_12,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15243,c_64]) ).
tcf(c_15298,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(iPr_def_12,xm),X0),X1) = sdtasdt0(sdtpldt0(iPr_def_12,xm),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15243,c_61]) ).
tcf(c_15299,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(iPr_def_12,xm),X0),X1) = sdtpldt0(sdtpldt0(iPr_def_12,xm),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15243,c_55]) ).
tcf(c_15300,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(iPr_def_12,xm),X0) = sdtasdt0(X0,sdtpldt0(iPr_def_12,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15243,c_60]) ).
tcf(c_15301,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_12,xm),X0) = sdtpldt0(X0,sdtpldt0(iPr_def_12,xm)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15243,c_54]) ).
tcf(c_15302,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xm),smndt0(sz10)) = smndt0(sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_67]) ).
tcf(c_15303,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(iPr_def_12,xm)) = smndt0(sdtpldt0(iPr_def_12,xm)),
inference(superposition,[status(thm)],[c_15243,c_66]) ).
tcf(c_15304,plain,
sdtpldt0(smndt0(sdtpldt0(iPr_def_12,xm)),sdtpldt0(iPr_def_12,xm)) = sz00,
inference(superposition,[status(thm)],[c_15243,c_59]) ).
tcf(c_15305,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xm),smndt0(sdtpldt0(iPr_def_12,xm))) = sz00,
inference(superposition,[status(thm)],[c_15243,c_58]) ).
tcf(c_15306,plain,
sdtasdt0(sz00,sdtpldt0(iPr_def_12,xm)) = sz00,
inference(superposition,[status(thm)],[c_15243,c_69]) ).
tcf(c_15307,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_15243,c_68]) ).
tcf(c_15308,plain,
sdtasdt0(sz10,sdtpldt0(iPr_def_12,xm)) = sdtpldt0(iPr_def_12,xm),
inference(superposition,[status(thm)],[c_15243,c_63]) ).
tcf(c_15309,plain,
sdtasdt0(sdtpldt0(iPr_def_12,xm),sz10) = sdtpldt0(iPr_def_12,xm),
inference(superposition,[status(thm)],[c_15243,c_62]) ).
tcf(c_15310,plain,
sdtpldt0(sz00,sdtpldt0(iPr_def_12,xm)) = sdtpldt0(iPr_def_12,xm),
inference(superposition,[status(thm)],[c_15243,c_57]) ).
tcf(c_15311,plain,
sdtpldt0(sdtpldt0(iPr_def_12,xm),sz00) = sdtpldt0(iPr_def_12,xm),
inference(superposition,[status(thm)],[c_15243,c_56]) ).
tcf(c_15838,plain,
( aElement0(sdtpldt0(xz,smndt0(xk)))
| ~ aElement0(xz)
| ~ aElement0(smndt0(xk)) ),
inference(superposition,[status(thm)],[c_11544,c_52]) ).
tcf(c_15839,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xk)),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(xk),xJ) ),
inference(superposition,[status(thm)],[c_11544,c_954]) ).
tcf(c_15840,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xk)),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(xk),xI) ),
inference(superposition,[status(thm)],[c_11544,c_930]) ).
tcf(c_15841,plain,
aElement0(sdtpldt0(xz,smndt0(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_15838,c_103,c_5206]) ).
tcf(c_15848,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xk)),xm) = sdtpldt0(xm,sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_3264]) ).
tcf(c_15849,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xk)),xl) = sdtpldt0(xl,sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_3263]) ).
tcf(c_15850,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xk)),xk) = sdtpldt0(xk,sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_3262]) ).
tcf(c_15851,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xk)),xz) = sdtpldt0(xz,sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_3261]) ).
tcf(c_15852,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xk)),sz10) = sdtpldt0(sz10,sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_3257]) ).
tcf(c_15853,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xk)),sz00) = sdtpldt0(sz00,sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_3256]) ).
tcf(c_15854,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,smndt0(xk)))) = smndt0(sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_2598]) ).
tcf(c_15855,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xk))),sz10) = smndt0(sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_2587]) ).
tcf(c_15856,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,smndt0(xk)))) = smndt0(sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_2576]) ).
tcf(c_15857,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xk))),sz00) = smndt0(sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_2565]) ).
tcf(c_15858,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,smndt0(xk)))) = sz00,
inference(superposition,[status(thm)],[c_15841,c_2644]) ).
tcf(c_15859,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xk))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15841,c_2633]) ).
tcf(c_15860,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,smndt0(xk))),sdtasdt0(X1,sdtpldt0(xz,smndt0(xk)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,smndt0(xk))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15841,c_65]) ).
tcf(c_15861,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,smndt0(xk)),X0),sdtasdt0(sdtpldt0(xz,smndt0(xk)),X1)) = sdtasdt0(sdtpldt0(xz,smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15841,c_64]) ).
tcf(c_15862,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,smndt0(xk)),X0),X1) = sdtasdt0(sdtpldt0(xz,smndt0(xk)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15841,c_61]) ).
tcf(c_15863,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,smndt0(xk)),X0),X1) = sdtpldt0(sdtpldt0(xz,smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15841,c_55]) ).
tcf(c_15864,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,smndt0(xk)),X0) = sdtasdt0(X0,sdtpldt0(xz,smndt0(xk))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15841,c_60]) ).
tcf(c_15865,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,smndt0(xk)),X0) = sdtpldt0(X0,sdtpldt0(xz,smndt0(xk))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_15841,c_54]) ).
tcf(c_15866,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xk)),smndt0(sz10)) = smndt0(sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_67]) ).
tcf(c_15867,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,smndt0(xk))) = smndt0(sdtpldt0(xz,smndt0(xk))),
inference(superposition,[status(thm)],[c_15841,c_66]) ).
tcf(c_15868,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xk))),sdtpldt0(xz,smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_15841,c_59]) ).
tcf(c_15869,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xk)),smndt0(sdtpldt0(xz,smndt0(xk)))) = sz00,
inference(superposition,[status(thm)],[c_15841,c_58]) ).
tcf(c_15870,plain,
sdtasdt0(sz00,sdtpldt0(xz,smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_15841,c_69]) ).
tcf(c_15871,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_15841,c_68]) ).
tcf(c_15872,plain,
sdtasdt0(sz10,sdtpldt0(xz,smndt0(xk))) = sdtpldt0(xz,smndt0(xk)),
inference(superposition,[status(thm)],[c_15841,c_63]) ).
tcf(c_15873,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xk)),sz10) = sdtpldt0(xz,smndt0(xk)),
inference(superposition,[status(thm)],[c_15841,c_62]) ).
tcf(c_15874,plain,
sdtpldt0(sz00,sdtpldt0(xz,smndt0(xk))) = sdtpldt0(xz,smndt0(xk)),
inference(superposition,[status(thm)],[c_15841,c_57]) ).
tcf(c_15875,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xk)),sz00) = sdtpldt0(xz,smndt0(xk)),
inference(superposition,[status(thm)],[c_15841,c_56]) ).
tcf(c_16164,plain,
( aElement0(sdtpldt0(xz,smndt0(xl)))
| ~ aElement0(xz)
| ~ aElement0(smndt0(xl)) ),
inference(superposition,[status(thm)],[c_11545,c_52]) ).
tcf(c_16165,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xl)),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(xl),xJ) ),
inference(superposition,[status(thm)],[c_11545,c_954]) ).
tcf(c_16166,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xl)),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(xl),xI) ),
inference(superposition,[status(thm)],[c_11545,c_930]) ).
tcf(c_16167,plain,
aElement0(sdtpldt0(xz,smndt0(xl))),
inference(forward_subsumption_resolution,[status(thm)],[c_16164,c_103,c_5270]) ).
tcf(c_16218,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xl)),xm) = sdtpldt0(xm,sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_3264]) ).
tcf(c_16219,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xl)),xl) = sdtpldt0(xl,sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_3263]) ).
tcf(c_16220,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xl)),xk) = sdtpldt0(xk,sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_3262]) ).
tcf(c_16221,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xl)),xz) = sdtpldt0(xz,sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_3261]) ).
tcf(c_16222,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xl)),sz10) = sdtpldt0(sz10,sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_3257]) ).
tcf(c_16223,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_3256]) ).
tcf(c_16224,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,smndt0(xl)))) = smndt0(sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_2598]) ).
tcf(c_16225,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xl))),sz10) = smndt0(sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_2587]) ).
tcf(c_16226,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,smndt0(xl)))) = smndt0(sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_2576]) ).
tcf(c_16227,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xl))),sz00) = smndt0(sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_2565]) ).
tcf(c_16228,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,smndt0(xl)))) = sz00,
inference(superposition,[status(thm)],[c_16167,c_2644]) ).
tcf(c_16229,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16167,c_2633]) ).
tcf(c_16230,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,smndt0(xl))),sdtasdt0(X1,sdtpldt0(xz,smndt0(xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,smndt0(xl))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16167,c_65]) ).
tcf(c_16231,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,smndt0(xl)),X0),sdtasdt0(sdtpldt0(xz,smndt0(xl)),X1)) = sdtasdt0(sdtpldt0(xz,smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16167,c_64]) ).
tcf(c_16232,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,smndt0(xl)),X0),X1) = sdtasdt0(sdtpldt0(xz,smndt0(xl)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16167,c_61]) ).
tcf(c_16233,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,smndt0(xl)),X0),X1) = sdtpldt0(sdtpldt0(xz,smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16167,c_55]) ).
tcf(c_16234,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,smndt0(xl)),X0) = sdtasdt0(X0,sdtpldt0(xz,smndt0(xl))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16167,c_60]) ).
tcf(c_16235,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,smndt0(xl)),X0) = sdtpldt0(X0,sdtpldt0(xz,smndt0(xl))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16167,c_54]) ).
tcf(c_16236,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xl)),smndt0(sz10)) = smndt0(sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_67]) ).
tcf(c_16237,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,smndt0(xl))) = smndt0(sdtpldt0(xz,smndt0(xl))),
inference(superposition,[status(thm)],[c_16167,c_66]) ).
tcf(c_16238,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xl))),sdtpldt0(xz,smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_16167,c_59]) ).
tcf(c_16239,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xl)),smndt0(sdtpldt0(xz,smndt0(xl)))) = sz00,
inference(superposition,[status(thm)],[c_16167,c_58]) ).
tcf(c_16240,plain,
sdtasdt0(sz00,sdtpldt0(xz,smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_16167,c_69]) ).
tcf(c_16241,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16167,c_68]) ).
tcf(c_16242,plain,
sdtasdt0(sz10,sdtpldt0(xz,smndt0(xl))) = sdtpldt0(xz,smndt0(xl)),
inference(superposition,[status(thm)],[c_16167,c_63]) ).
tcf(c_16243,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xl)),sz10) = sdtpldt0(xz,smndt0(xl)),
inference(superposition,[status(thm)],[c_16167,c_62]) ).
tcf(c_16244,plain,
sdtpldt0(sz00,sdtpldt0(xz,smndt0(xl))) = sdtpldt0(xz,smndt0(xl)),
inference(superposition,[status(thm)],[c_16167,c_57]) ).
tcf(c_16245,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xl)),sz00) = sdtpldt0(xz,smndt0(xl)),
inference(superposition,[status(thm)],[c_16167,c_56]) ).
tcf(c_16586,plain,
( aElement0(sdtpldt0(xz,smndt0(xm)))
| ~ aElement0(xz)
| ~ aElement0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11546,c_52]) ).
tcf(c_16587,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xm)),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(xm),xJ) ),
inference(superposition,[status(thm)],[c_11546,c_954]) ).
tcf(c_16588,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xm)),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(xm),xI) ),
inference(superposition,[status(thm)],[c_11546,c_930]) ).
tcf(c_16589,plain,
aElement0(sdtpldt0(xz,smndt0(xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_16586,c_103,c_5356]) ).
tcf(c_16596,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xm)),xm) = sdtpldt0(xm,sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_3264]) ).
tcf(c_16597,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xm)),xl) = sdtpldt0(xl,sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_3263]) ).
tcf(c_16598,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xm)),xk) = sdtpldt0(xk,sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_3262]) ).
tcf(c_16599,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xm)),xz) = sdtpldt0(xz,sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_3261]) ).
tcf(c_16600,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xm)),sz10) = sdtpldt0(sz10,sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_3257]) ).
tcf(c_16601,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_3256]) ).
tcf(c_16602,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,smndt0(xm)))) = smndt0(sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_2598]) ).
tcf(c_16603,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xm))),sz10) = smndt0(sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_2587]) ).
tcf(c_16604,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,smndt0(xm)))) = smndt0(sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_2576]) ).
tcf(c_16605,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xm))),sz00) = smndt0(sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_2565]) ).
tcf(c_16606,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_16589,c_2644]) ).
tcf(c_16607,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16589,c_2633]) ).
tcf(c_16608,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,smndt0(xm))),sdtasdt0(X1,sdtpldt0(xz,smndt0(xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,smndt0(xm))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16589,c_65]) ).
tcf(c_16609,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,smndt0(xm)),X0),sdtasdt0(sdtpldt0(xz,smndt0(xm)),X1)) = sdtasdt0(sdtpldt0(xz,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16589,c_64]) ).
tcf(c_16610,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,smndt0(xm)),X0),X1) = sdtasdt0(sdtpldt0(xz,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16589,c_61]) ).
tcf(c_16611,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,smndt0(xm)),X0),X1) = sdtpldt0(sdtpldt0(xz,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16589,c_55]) ).
tcf(c_16612,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,smndt0(xm)),X0) = sdtasdt0(X0,sdtpldt0(xz,smndt0(xm))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16589,c_60]) ).
tcf(c_16613,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,smndt0(xm)),X0) = sdtpldt0(X0,sdtpldt0(xz,smndt0(xm))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16589,c_54]) ).
tcf(c_16614,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xm)),smndt0(sz10)) = smndt0(sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_67]) ).
tcf(c_16615,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,smndt0(xm))) = smndt0(sdtpldt0(xz,smndt0(xm))),
inference(superposition,[status(thm)],[c_16589,c_66]) ).
tcf(c_16616,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xm))),sdtpldt0(xz,smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_16589,c_59]) ).
tcf(c_16617,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xm)),smndt0(sdtpldt0(xz,smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_16589,c_58]) ).
tcf(c_16618,plain,
sdtasdt0(sz00,sdtpldt0(xz,smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_16589,c_69]) ).
tcf(c_16619,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16589,c_68]) ).
tcf(c_16620,plain,
sdtasdt0(sz10,sdtpldt0(xz,smndt0(xm))) = sdtpldt0(xz,smndt0(xm)),
inference(superposition,[status(thm)],[c_16589,c_63]) ).
tcf(c_16621,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xm)),sz10) = sdtpldt0(xz,smndt0(xm)),
inference(superposition,[status(thm)],[c_16589,c_62]) ).
tcf(c_16622,plain,
sdtpldt0(sz00,sdtpldt0(xz,smndt0(xm))) = sdtpldt0(xz,smndt0(xm)),
inference(superposition,[status(thm)],[c_16589,c_57]) ).
tcf(c_16623,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xm)),sz00) = sdtpldt0(xz,smndt0(xm)),
inference(superposition,[status(thm)],[c_16589,c_56]) ).
tcf(c_16674,plain,
( aElement0(sdtpldt0(xz,smndt0(xn)))
| ~ aElement0(xz)
| ~ aElement0(smndt0(xn)) ),
inference(superposition,[status(thm)],[c_11547,c_52]) ).
tcf(c_16675,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xn)),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(xn),xJ) ),
inference(superposition,[status(thm)],[c_11547,c_954]) ).
tcf(c_16676,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xn)),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(xn),xI) ),
inference(superposition,[status(thm)],[c_11547,c_930]) ).
tcf(c_16677,plain,
aElement0(sdtpldt0(xz,smndt0(xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_16674,c_103,c_5445]) ).
tcf(c_16684,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xn)),xm) = sdtpldt0(xm,sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_3264]) ).
tcf(c_16685,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xn)),xl) = sdtpldt0(xl,sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_3263]) ).
tcf(c_16686,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xn)),xk) = sdtpldt0(xk,sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_3262]) ).
tcf(c_16687,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xn)),xz) = sdtpldt0(xz,sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_3261]) ).
tcf(c_16688,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xn)),sz10) = sdtpldt0(sz10,sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_3257]) ).
tcf(c_16689,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_3256]) ).
tcf(c_16690,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,smndt0(xn)))) = smndt0(sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_2598]) ).
tcf(c_16691,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xn))),sz10) = smndt0(sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_2587]) ).
tcf(c_16692,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,smndt0(xn)))) = smndt0(sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_2576]) ).
tcf(c_16693,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xn))),sz00) = smndt0(sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_2565]) ).
tcf(c_16694,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_16677,c_2644]) ).
tcf(c_16695,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16677,c_2633]) ).
tcf(c_16696,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,smndt0(xn))),sdtasdt0(X1,sdtpldt0(xz,smndt0(xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,smndt0(xn))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16677,c_65]) ).
tcf(c_16697,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,smndt0(xn)),X0),sdtasdt0(sdtpldt0(xz,smndt0(xn)),X1)) = sdtasdt0(sdtpldt0(xz,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16677,c_64]) ).
tcf(c_16698,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,smndt0(xn)),X0),X1) = sdtasdt0(sdtpldt0(xz,smndt0(xn)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16677,c_61]) ).
tcf(c_16699,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,smndt0(xn)),X0),X1) = sdtpldt0(sdtpldt0(xz,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16677,c_55]) ).
tcf(c_16700,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,smndt0(xn)),X0) = sdtasdt0(X0,sdtpldt0(xz,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16677,c_60]) ).
tcf(c_16701,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,smndt0(xn)),X0) = sdtpldt0(X0,sdtpldt0(xz,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16677,c_54]) ).
tcf(c_16702,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xn)),smndt0(sz10)) = smndt0(sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_67]) ).
tcf(c_16703,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,smndt0(xn))) = smndt0(sdtpldt0(xz,smndt0(xn))),
inference(superposition,[status(thm)],[c_16677,c_66]) ).
tcf(c_16704,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xn))),sdtpldt0(xz,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_16677,c_59]) ).
tcf(c_16705,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xn)),smndt0(sdtpldt0(xz,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_16677,c_58]) ).
tcf(c_16706,plain,
sdtasdt0(sz00,sdtpldt0(xz,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_16677,c_69]) ).
tcf(c_16707,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16677,c_68]) ).
tcf(c_16708,plain,
sdtasdt0(sz10,sdtpldt0(xz,smndt0(xn))) = sdtpldt0(xz,smndt0(xn)),
inference(superposition,[status(thm)],[c_16677,c_63]) ).
tcf(c_16709,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xn)),sz10) = sdtpldt0(xz,smndt0(xn)),
inference(superposition,[status(thm)],[c_16677,c_62]) ).
tcf(c_16710,plain,
sdtpldt0(sz00,sdtpldt0(xz,smndt0(xn))) = sdtpldt0(xz,smndt0(xn)),
inference(superposition,[status(thm)],[c_16677,c_57]) ).
tcf(c_16711,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xn)),sz00) = sdtpldt0(xz,smndt0(xn)),
inference(superposition,[status(thm)],[c_16677,c_56]) ).
tcf(c_17025,plain,
( aElement0(sdtpldt0(xz,smndt0(xx)))
| ~ aElement0(xz)
| ~ aElement0(smndt0(xx)) ),
inference(superposition,[status(thm)],[c_11548,c_52]) ).
tcf(c_17026,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xx)),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(xx),xJ) ),
inference(superposition,[status(thm)],[c_11548,c_954]) ).
tcf(c_17027,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xx)),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(xx),xI) ),
inference(superposition,[status(thm)],[c_11548,c_930]) ).
tcf(c_17028,plain,
aElement0(sdtpldt0(xz,smndt0(xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_17025,c_103,c_5528]) ).
tcf(c_17035,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xx)),xm) = sdtpldt0(xm,sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_3264]) ).
tcf(c_17036,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xx)),xl) = sdtpldt0(xl,sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_3263]) ).
tcf(c_17037,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xx)),xk) = sdtpldt0(xk,sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_3262]) ).
tcf(c_17038,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xx)),xz) = sdtpldt0(xz,sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_3261]) ).
tcf(c_17039,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xx)),sz10) = sdtpldt0(sz10,sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_3257]) ).
tcf(c_17040,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xx)),sz00) = sdtpldt0(sz00,sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_3256]) ).
tcf(c_17041,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,smndt0(xx)))) = smndt0(sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_2598]) ).
tcf(c_17042,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xx))),sz10) = smndt0(sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_2587]) ).
tcf(c_17043,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,smndt0(xx)))) = smndt0(sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_2576]) ).
tcf(c_17044,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xx))),sz00) = smndt0(sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_2565]) ).
tcf(c_17045,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,smndt0(xx)))) = sz00,
inference(superposition,[status(thm)],[c_17028,c_2644]) ).
tcf(c_17046,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xx))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17028,c_2633]) ).
tcf(c_17047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,smndt0(xx))),sdtasdt0(X1,sdtpldt0(xz,smndt0(xx)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,smndt0(xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17028,c_65]) ).
tcf(c_17048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,smndt0(xx)),X0),sdtasdt0(sdtpldt0(xz,smndt0(xx)),X1)) = sdtasdt0(sdtpldt0(xz,smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17028,c_64]) ).
tcf(c_17049,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,smndt0(xx)),X0),X1) = sdtasdt0(sdtpldt0(xz,smndt0(xx)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17028,c_61]) ).
tcf(c_17050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,smndt0(xx)),X0),X1) = sdtpldt0(sdtpldt0(xz,smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17028,c_55]) ).
tcf(c_17051,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,smndt0(xx)),X0) = sdtasdt0(X0,sdtpldt0(xz,smndt0(xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17028,c_60]) ).
tcf(c_17052,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,smndt0(xx)),X0) = sdtpldt0(X0,sdtpldt0(xz,smndt0(xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17028,c_54]) ).
tcf(c_17053,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xx)),smndt0(sz10)) = smndt0(sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_67]) ).
tcf(c_17054,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,smndt0(xx))) = smndt0(sdtpldt0(xz,smndt0(xx))),
inference(superposition,[status(thm)],[c_17028,c_66]) ).
tcf(c_17055,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xx))),sdtpldt0(xz,smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_17028,c_59]) ).
tcf(c_17056,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xx)),smndt0(sdtpldt0(xz,smndt0(xx)))) = sz00,
inference(superposition,[status(thm)],[c_17028,c_58]) ).
tcf(c_17057,plain,
sdtasdt0(sz00,sdtpldt0(xz,smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_17028,c_69]) ).
tcf(c_17058,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xx)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17028,c_68]) ).
tcf(c_17059,plain,
sdtasdt0(sz10,sdtpldt0(xz,smndt0(xx))) = sdtpldt0(xz,smndt0(xx)),
inference(superposition,[status(thm)],[c_17028,c_63]) ).
tcf(c_17060,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xx)),sz10) = sdtpldt0(xz,smndt0(xx)),
inference(superposition,[status(thm)],[c_17028,c_62]) ).
tcf(c_17061,plain,
sdtpldt0(sz00,sdtpldt0(xz,smndt0(xx))) = sdtpldt0(xz,smndt0(xx)),
inference(superposition,[status(thm)],[c_17028,c_57]) ).
tcf(c_17062,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xx)),sz00) = sdtpldt0(xz,smndt0(xx)),
inference(superposition,[status(thm)],[c_17028,c_56]) ).
tcf(c_17144,plain,
( aElement0(sdtpldt0(xz,smndt0(xy)))
| ~ aElement0(xz)
| ~ aElement0(smndt0(xy)) ),
inference(superposition,[status(thm)],[c_11549,c_52]) ).
tcf(c_17145,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xy)),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(xy),xJ) ),
inference(superposition,[status(thm)],[c_11549,c_954]) ).
tcf(c_17146,plain,
( aElementOf0(sdtpldt0(xz,smndt0(xy)),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(xy),xI) ),
inference(superposition,[status(thm)],[c_11549,c_930]) ).
tcf(c_17147,plain,
aElement0(sdtpldt0(xz,smndt0(xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_17144,c_103,c_5604]) ).
tcf(c_17167,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xy)),xm) = sdtpldt0(xm,sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_3264]) ).
tcf(c_17168,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xy)),xl) = sdtpldt0(xl,sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_3263]) ).
tcf(c_17169,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xy)),xk) = sdtpldt0(xk,sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_3262]) ).
tcf(c_17170,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xy)),xz) = sdtpldt0(xz,sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_3261]) ).
tcf(c_17171,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xy)),sz10) = sdtpldt0(sz10,sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_3257]) ).
tcf(c_17172,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xy)),sz00) = sdtpldt0(sz00,sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_3256]) ).
tcf(c_17173,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,smndt0(xy)))) = smndt0(sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_2598]) ).
tcf(c_17174,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xy))),sz10) = smndt0(sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_2587]) ).
tcf(c_17175,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,smndt0(xy)))) = smndt0(sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_2576]) ).
tcf(c_17176,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xy))),sz00) = smndt0(sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_2565]) ).
tcf(c_17177,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,smndt0(xy)))) = sz00,
inference(superposition,[status(thm)],[c_17147,c_2644]) ).
tcf(c_17178,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(xy))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17147,c_2633]) ).
tcf(c_17179,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,smndt0(xy))),sdtasdt0(X1,sdtpldt0(xz,smndt0(xy)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,smndt0(xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17147,c_65]) ).
tcf(c_17180,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,smndt0(xy)),X0),sdtasdt0(sdtpldt0(xz,smndt0(xy)),X1)) = sdtasdt0(sdtpldt0(xz,smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17147,c_64]) ).
tcf(c_17181,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,smndt0(xy)),X0),X1) = sdtasdt0(sdtpldt0(xz,smndt0(xy)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17147,c_61]) ).
tcf(c_17182,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,smndt0(xy)),X0),X1) = sdtpldt0(sdtpldt0(xz,smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17147,c_55]) ).
tcf(c_17183,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,smndt0(xy)),X0) = sdtasdt0(X0,sdtpldt0(xz,smndt0(xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17147,c_60]) ).
tcf(c_17184,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,smndt0(xy)),X0) = sdtpldt0(X0,sdtpldt0(xz,smndt0(xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17147,c_54]) ).
tcf(c_17185,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xy)),smndt0(sz10)) = smndt0(sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_67]) ).
tcf(c_17186,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,smndt0(xy))) = smndt0(sdtpldt0(xz,smndt0(xy))),
inference(superposition,[status(thm)],[c_17147,c_66]) ).
tcf(c_17187,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(xy))),sdtpldt0(xz,smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_17147,c_59]) ).
tcf(c_17188,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xy)),smndt0(sdtpldt0(xz,smndt0(xy)))) = sz00,
inference(superposition,[status(thm)],[c_17147,c_58]) ).
tcf(c_17189,plain,
sdtasdt0(sz00,sdtpldt0(xz,smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_17147,c_69]) ).
tcf(c_17190,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17147,c_68]) ).
tcf(c_17191,plain,
sdtasdt0(sz10,sdtpldt0(xz,smndt0(xy))) = sdtpldt0(xz,smndt0(xy)),
inference(superposition,[status(thm)],[c_17147,c_63]) ).
tcf(c_17192,plain,
sdtasdt0(sdtpldt0(xz,smndt0(xy)),sz10) = sdtpldt0(xz,smndt0(xy)),
inference(superposition,[status(thm)],[c_17147,c_62]) ).
tcf(c_17193,plain,
sdtpldt0(sz00,sdtpldt0(xz,smndt0(xy))) = sdtpldt0(xz,smndt0(xy)),
inference(superposition,[status(thm)],[c_17147,c_57]) ).
tcf(c_17194,plain,
sdtpldt0(sdtpldt0(xz,smndt0(xy)),sz00) = sdtpldt0(xz,smndt0(xy)),
inference(superposition,[status(thm)],[c_17147,c_56]) ).
tcf(c_17346,plain,
( aElement0(sdtpldt0(xz,smndt0(iPr_def_12)))
| ~ aElement0(xz)
| ~ aElement0(smndt0(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11550,c_52]) ).
tcf(c_17347,plain,
( aElementOf0(sdtpldt0(xz,smndt0(iPr_def_12)),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(iPr_def_12),xJ) ),
inference(superposition,[status(thm)],[c_11550,c_954]) ).
tcf(c_17348,plain,
( aElementOf0(sdtpldt0(xz,smndt0(iPr_def_12)),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(iPr_def_12),xI) ),
inference(superposition,[status(thm)],[c_11550,c_930]) ).
tcf(c_17349,plain,
aElement0(sdtpldt0(xz,smndt0(iPr_def_12))),
inference(forward_subsumption_resolution,[status(thm)],[c_17346,c_103,c_5680]) ).
tcf(c_17356,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),xm) = sdtpldt0(xm,sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_3264]) ).
tcf(c_17357,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),xl) = sdtpldt0(xl,sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_3263]) ).
tcf(c_17358,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),xk) = sdtpldt0(xk,sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_3262]) ).
tcf(c_17359,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),xz) = sdtpldt0(xz,sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_3261]) ).
tcf(c_17360,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),sz10) = sdtpldt0(sz10,sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_3257]) ).
tcf(c_17361,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),sz00) = sdtpldt0(sz00,sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_3256]) ).
tcf(c_17362,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,smndt0(iPr_def_12)))) = smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_2598]) ).
tcf(c_17363,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),sz10) = smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_2587]) ).
tcf(c_17364,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,smndt0(iPr_def_12)))) = smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_2576]) ).
tcf(c_17365,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),sz00) = smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_2565]) ).
tcf(c_17366,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,smndt0(iPr_def_12)))) = sz00,
inference(superposition,[status(thm)],[c_17349,c_2644]) ).
tcf(c_17367,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17349,c_2633]) ).
tcf(c_17368,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,smndt0(iPr_def_12))),sdtasdt0(X1,sdtpldt0(xz,smndt0(iPr_def_12)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,smndt0(iPr_def_12))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17349,c_65]) ).
tcf(c_17369,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),X0),sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),X1)) = sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17349,c_64]) ).
tcf(c_17370,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),X0),X1) = sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17349,c_61]) ).
tcf(c_17371,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),X0),X1) = sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17349,c_55]) ).
tcf(c_17372,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),X0) = sdtasdt0(X0,sdtpldt0(xz,smndt0(iPr_def_12))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17349,c_60]) ).
tcf(c_17373,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),X0) = sdtpldt0(X0,sdtpldt0(xz,smndt0(iPr_def_12))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17349,c_54]) ).
tcf(c_17374,plain,
sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),smndt0(sz10)) = smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_67]) ).
tcf(c_17375,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,smndt0(iPr_def_12))) = smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_17349,c_66]) ).
tcf(c_17376,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(iPr_def_12))),sdtpldt0(xz,smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_17349,c_59]) ).
tcf(c_17377,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),smndt0(sdtpldt0(xz,smndt0(iPr_def_12)))) = sz00,
inference(superposition,[status(thm)],[c_17349,c_58]) ).
tcf(c_17378,plain,
sdtasdt0(sz00,sdtpldt0(xz,smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_17349,c_69]) ).
tcf(c_17379,plain,
sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17349,c_68]) ).
tcf(c_17380,plain,
sdtasdt0(sz10,sdtpldt0(xz,smndt0(iPr_def_12))) = sdtpldt0(xz,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_17349,c_63]) ).
tcf(c_17381,plain,
sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_12)),sz10) = sdtpldt0(xz,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_17349,c_62]) ).
tcf(c_17382,plain,
sdtpldt0(sz00,sdtpldt0(xz,smndt0(iPr_def_12))) = sdtpldt0(xz,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_17349,c_57]) ).
tcf(c_17383,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_12)),sz00) = sdtpldt0(xz,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_17349,c_56]) ).
tcf(c_17486,plain,
( aElement0(sdtpldt0(xz,smndt0(iPr_def_10)))
| ~ aElement0(xz)
| ~ aElement0(smndt0(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_11551,c_52]) ).
tcf(c_17487,plain,
( aElementOf0(sdtpldt0(xz,smndt0(iPr_def_10)),xJ)
| ~ aElementOf0(xz,xJ)
| ~ aElementOf0(smndt0(iPr_def_10),xJ) ),
inference(superposition,[status(thm)],[c_11551,c_954]) ).
tcf(c_17488,plain,
( aElementOf0(sdtpldt0(xz,smndt0(iPr_def_10)),xI)
| ~ aElementOf0(xz,xI)
| ~ aElementOf0(smndt0(iPr_def_10),xI) ),
inference(superposition,[status(thm)],[c_11551,c_930]) ).
tcf(c_17489,plain,
aElement0(sdtpldt0(xz,smndt0(iPr_def_10))),
inference(forward_subsumption_resolution,[status(thm)],[c_17486,c_103,c_5796]) ).
tcf(c_17496,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),xm) = sdtpldt0(xm,sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_3264]) ).
tcf(c_17497,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),xl) = sdtpldt0(xl,sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_3263]) ).
tcf(c_17498,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),xk) = sdtpldt0(xk,sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_3262]) ).
tcf(c_17499,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),xz) = sdtpldt0(xz,sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_3261]) ).
tcf(c_17500,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),sz10) = sdtpldt0(sz10,sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_3257]) ).
tcf(c_17501,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),sz00) = sdtpldt0(sz00,sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_3256]) ).
tcf(c_17502,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xz,smndt0(iPr_def_10)))) = smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_2598]) ).
tcf(c_17503,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),sz10) = smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_2587]) ).
tcf(c_17504,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xz,smndt0(iPr_def_10)))) = smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_2576]) ).
tcf(c_17505,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),sz00) = smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_2565]) ).
tcf(c_17506,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xz,smndt0(iPr_def_10)))) = sz00,
inference(superposition,[status(thm)],[c_17489,c_2644]) ).
tcf(c_17507,plain,
sdtasdt0(smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17489,c_2633]) ).
tcf(c_17508,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xz,smndt0(iPr_def_10))),sdtasdt0(X1,sdtpldt0(xz,smndt0(iPr_def_10)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xz,smndt0(iPr_def_10))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17489,c_65]) ).
tcf(c_17509,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),X0),sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),X1)) = sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17489,c_64]) ).
tcf(c_17510,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),X0),X1) = sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17489,c_61]) ).
tcf(c_17511,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),X0),X1) = sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17489,c_55]) ).
tcf(c_17512,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),X0) = sdtasdt0(X0,sdtpldt0(xz,smndt0(iPr_def_10))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17489,c_60]) ).
tcf(c_17513,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),X0) = sdtpldt0(X0,sdtpldt0(xz,smndt0(iPr_def_10))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17489,c_54]) ).
tcf(c_17514,plain,
sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),smndt0(sz10)) = smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_67]) ).
tcf(c_17515,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xz,smndt0(iPr_def_10))) = smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_17489,c_66]) ).
tcf(c_17516,plain,
sdtpldt0(smndt0(sdtpldt0(xz,smndt0(iPr_def_10))),sdtpldt0(xz,smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_17489,c_59]) ).
tcf(c_17517,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),smndt0(sdtpldt0(xz,smndt0(iPr_def_10)))) = sz00,
inference(superposition,[status(thm)],[c_17489,c_58]) ).
tcf(c_17518,plain,
sdtasdt0(sz00,sdtpldt0(xz,smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_17489,c_69]) ).
tcf(c_17519,plain,
sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17489,c_68]) ).
tcf(c_17520,plain,
sdtasdt0(sz10,sdtpldt0(xz,smndt0(iPr_def_10))) = sdtpldt0(xz,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_17489,c_63]) ).
tcf(c_17521,plain,
sdtasdt0(sdtpldt0(xz,smndt0(iPr_def_10)),sz10) = sdtpldt0(xz,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_17489,c_62]) ).
tcf(c_17522,plain,
sdtpldt0(sz00,sdtpldt0(xz,smndt0(iPr_def_10))) = sdtpldt0(xz,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_17489,c_57]) ).
tcf(c_17523,plain,
sdtpldt0(sdtpldt0(xz,smndt0(iPr_def_10)),sz00) = sdtpldt0(xz,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_17489,c_56]) ).
tcf(c_17608,plain,
( aElement0(sdtpldt0(xk,smndt0(xz)))
| ~ aElement0(xk)
| ~ aElement0(smndt0(xz)) ),
inference(superposition,[status(thm)],[c_11931,c_52]) ).
tcf(c_17609,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xz)),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(xz),xJ) ),
inference(superposition,[status(thm)],[c_11931,c_954]) ).
tcf(c_17610,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xz)),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(xz),xI) ),
inference(superposition,[status(thm)],[c_11931,c_930]) ).
tcf(c_17611,plain,
aElement0(sdtpldt0(xk,smndt0(xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_17608,c_2674,c_5066]) ).
tcf(c_17612,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xz)),xI)
| ~ aElementOf0(smndt0(xz),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17610,c_104]) ).
tcf(c_17619,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xz)),xm) = sdtpldt0(xm,sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_3264]) ).
tcf(c_17620,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xz)),xl) = sdtpldt0(xl,sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_3263]) ).
tcf(c_17621,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xz)),xk) = sdtpldt0(xk,sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_3262]) ).
tcf(c_17622,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xz)),xz) = sdtpldt0(xz,sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_3261]) ).
tcf(c_17623,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xz)),sz10) = sdtpldt0(sz10,sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_3257]) ).
tcf(c_17624,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xz)),sz00) = sdtpldt0(sz00,sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_3256]) ).
tcf(c_17625,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,smndt0(xz)))) = smndt0(sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_2598]) ).
tcf(c_17626,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xz))),sz10) = smndt0(sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_2587]) ).
tcf(c_17627,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,smndt0(xz)))) = smndt0(sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_2576]) ).
tcf(c_17628,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xz))),sz00) = smndt0(sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_2565]) ).
tcf(c_17629,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,smndt0(xz)))) = sz00,
inference(superposition,[status(thm)],[c_17611,c_2644]) ).
tcf(c_17630,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xz))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17611,c_2633]) ).
tcf(c_17631,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,smndt0(xz))),sdtasdt0(X1,sdtpldt0(xk,smndt0(xz)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,smndt0(xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17611,c_65]) ).
tcf(c_17632,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,smndt0(xz)),X0),sdtasdt0(sdtpldt0(xk,smndt0(xz)),X1)) = sdtasdt0(sdtpldt0(xk,smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17611,c_64]) ).
tcf(c_17633,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,smndt0(xz)),X0),X1) = sdtasdt0(sdtpldt0(xk,smndt0(xz)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17611,c_61]) ).
tcf(c_17634,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,smndt0(xz)),X0),X1) = sdtpldt0(sdtpldt0(xk,smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17611,c_55]) ).
tcf(c_17635,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,smndt0(xz)),X0) = sdtasdt0(X0,sdtpldt0(xk,smndt0(xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17611,c_60]) ).
tcf(c_17636,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,smndt0(xz)),X0) = sdtpldt0(X0,sdtpldt0(xk,smndt0(xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17611,c_54]) ).
tcf(c_17637,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xz)),smndt0(sz10)) = smndt0(sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_67]) ).
tcf(c_17638,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,smndt0(xz))) = smndt0(sdtpldt0(xk,smndt0(xz))),
inference(superposition,[status(thm)],[c_17611,c_66]) ).
tcf(c_17639,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xz))),sdtpldt0(xk,smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_17611,c_59]) ).
tcf(c_17640,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xz)),smndt0(sdtpldt0(xk,smndt0(xz)))) = sz00,
inference(superposition,[status(thm)],[c_17611,c_58]) ).
tcf(c_17641,plain,
sdtasdt0(sz00,sdtpldt0(xk,smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_17611,c_69]) ).
tcf(c_17642,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17611,c_68]) ).
tcf(c_17643,plain,
sdtasdt0(sz10,sdtpldt0(xk,smndt0(xz))) = sdtpldt0(xk,smndt0(xz)),
inference(superposition,[status(thm)],[c_17611,c_63]) ).
tcf(c_17644,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xz)),sz10) = sdtpldt0(xk,smndt0(xz)),
inference(superposition,[status(thm)],[c_17611,c_62]) ).
tcf(c_17645,plain,
sdtpldt0(sz00,sdtpldt0(xk,smndt0(xz))) = sdtpldt0(xk,smndt0(xz)),
inference(superposition,[status(thm)],[c_17611,c_57]) ).
tcf(c_17646,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xz)),sz00) = sdtpldt0(xk,smndt0(xz)),
inference(superposition,[status(thm)],[c_17611,c_56]) ).
tcf(c_17700,plain,
( aElement0(sdtpldt0(xk,smndt0(xl)))
| ~ aElement0(xk)
| ~ aElement0(smndt0(xl)) ),
inference(superposition,[status(thm)],[c_11933,c_52]) ).
tcf(c_17701,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xl)),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(xl),xJ) ),
inference(superposition,[status(thm)],[c_11933,c_954]) ).
tcf(c_17702,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xl)),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(xl),xI) ),
inference(superposition,[status(thm)],[c_11933,c_930]) ).
tcf(c_17703,plain,
aElement0(sdtpldt0(xk,smndt0(xl))),
inference(forward_subsumption_resolution,[status(thm)],[c_17700,c_2674,c_5270]) ).
tcf(c_17704,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xl)),xI)
| ~ aElementOf0(smndt0(xl),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17702,c_104]) ).
tcf(c_17718,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xl)),xm) = sdtpldt0(xm,sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_3264]) ).
tcf(c_17719,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xl)),xl) = sdtpldt0(xl,sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_3263]) ).
tcf(c_17720,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xl)),xk) = sdtpldt0(xk,sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_3262]) ).
tcf(c_17721,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xl)),xz) = sdtpldt0(xz,sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_3261]) ).
tcf(c_17722,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xl)),sz10) = sdtpldt0(sz10,sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_3257]) ).
tcf(c_17723,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_3256]) ).
tcf(c_17724,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,smndt0(xl)))) = smndt0(sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_2598]) ).
tcf(c_17725,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xl))),sz10) = smndt0(sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_2587]) ).
tcf(c_17726,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,smndt0(xl)))) = smndt0(sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_2576]) ).
tcf(c_17727,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xl))),sz00) = smndt0(sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_2565]) ).
tcf(c_17728,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,smndt0(xl)))) = sz00,
inference(superposition,[status(thm)],[c_17703,c_2644]) ).
tcf(c_17729,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17703,c_2633]) ).
tcf(c_17730,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,smndt0(xl))),sdtasdt0(X1,sdtpldt0(xk,smndt0(xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,smndt0(xl))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17703,c_65]) ).
tcf(c_17731,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,smndt0(xl)),X0),sdtasdt0(sdtpldt0(xk,smndt0(xl)),X1)) = sdtasdt0(sdtpldt0(xk,smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17703,c_64]) ).
tcf(c_17732,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,smndt0(xl)),X0),X1) = sdtasdt0(sdtpldt0(xk,smndt0(xl)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17703,c_61]) ).
tcf(c_17733,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,smndt0(xl)),X0),X1) = sdtpldt0(sdtpldt0(xk,smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17703,c_55]) ).
tcf(c_17734,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,smndt0(xl)),X0) = sdtasdt0(X0,sdtpldt0(xk,smndt0(xl))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17703,c_60]) ).
tcf(c_17735,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,smndt0(xl)),X0) = sdtpldt0(X0,sdtpldt0(xk,smndt0(xl))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17703,c_54]) ).
tcf(c_17736,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xl)),smndt0(sz10)) = smndt0(sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_67]) ).
tcf(c_17737,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,smndt0(xl))) = smndt0(sdtpldt0(xk,smndt0(xl))),
inference(superposition,[status(thm)],[c_17703,c_66]) ).
tcf(c_17738,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xl))),sdtpldt0(xk,smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_17703,c_59]) ).
tcf(c_17739,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xl)),smndt0(sdtpldt0(xk,smndt0(xl)))) = sz00,
inference(superposition,[status(thm)],[c_17703,c_58]) ).
tcf(c_17740,plain,
sdtasdt0(sz00,sdtpldt0(xk,smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_17703,c_69]) ).
tcf(c_17741,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17703,c_68]) ).
tcf(c_17742,plain,
sdtasdt0(sz10,sdtpldt0(xk,smndt0(xl))) = sdtpldt0(xk,smndt0(xl)),
inference(superposition,[status(thm)],[c_17703,c_63]) ).
tcf(c_17743,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xl)),sz10) = sdtpldt0(xk,smndt0(xl)),
inference(superposition,[status(thm)],[c_17703,c_62]) ).
tcf(c_17744,plain,
sdtpldt0(sz00,sdtpldt0(xk,smndt0(xl))) = sdtpldt0(xk,smndt0(xl)),
inference(superposition,[status(thm)],[c_17703,c_57]) ).
tcf(c_17745,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xl)),sz00) = sdtpldt0(xk,smndt0(xl)),
inference(superposition,[status(thm)],[c_17703,c_56]) ).
tcf(c_17875,plain,
( aElement0(sdtpldt0(xk,smndt0(xm)))
| ~ aElement0(xk)
| ~ aElement0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_11934,c_52]) ).
tcf(c_17876,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xm)),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(xm),xJ) ),
inference(superposition,[status(thm)],[c_11934,c_954]) ).
tcf(c_17877,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xm)),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(xm),xI) ),
inference(superposition,[status(thm)],[c_11934,c_930]) ).
tcf(c_17878,plain,
aElement0(sdtpldt0(xk,smndt0(xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_17875,c_2674,c_5356]) ).
tcf(c_17879,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xm)),xI)
| ~ aElementOf0(smndt0(xm),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17877,c_104]) ).
tcf(c_17885,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xm)),xm) = sdtpldt0(xm,sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_3264]) ).
tcf(c_17886,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xm)),xl) = sdtpldt0(xl,sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_3263]) ).
tcf(c_17887,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xm)),xk) = sdtpldt0(xk,sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_3262]) ).
tcf(c_17888,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xm)),xz) = sdtpldt0(xz,sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_3261]) ).
tcf(c_17889,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xm)),sz10) = sdtpldt0(sz10,sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_3257]) ).
tcf(c_17890,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_3256]) ).
tcf(c_17891,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,smndt0(xm)))) = smndt0(sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_2598]) ).
tcf(c_17892,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xm))),sz10) = smndt0(sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_2587]) ).
tcf(c_17893,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,smndt0(xm)))) = smndt0(sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_2576]) ).
tcf(c_17894,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xm))),sz00) = smndt0(sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_2565]) ).
tcf(c_17895,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_17878,c_2644]) ).
tcf(c_17896,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17878,c_2633]) ).
tcf(c_17897,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,smndt0(xm))),sdtasdt0(X1,sdtpldt0(xk,smndt0(xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,smndt0(xm))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17878,c_65]) ).
tcf(c_17898,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,smndt0(xm)),X0),sdtasdt0(sdtpldt0(xk,smndt0(xm)),X1)) = sdtasdt0(sdtpldt0(xk,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17878,c_64]) ).
tcf(c_17899,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,smndt0(xm)),X0),X1) = sdtasdt0(sdtpldt0(xk,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17878,c_61]) ).
tcf(c_17900,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,smndt0(xm)),X0),X1) = sdtpldt0(sdtpldt0(xk,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17878,c_55]) ).
tcf(c_17901,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,smndt0(xm)),X0) = sdtasdt0(X0,sdtpldt0(xk,smndt0(xm))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17878,c_60]) ).
tcf(c_17902,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,smndt0(xm)),X0) = sdtpldt0(X0,sdtpldt0(xk,smndt0(xm))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17878,c_54]) ).
tcf(c_17903,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xm)),smndt0(sz10)) = smndt0(sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_67]) ).
tcf(c_17904,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,smndt0(xm))) = smndt0(sdtpldt0(xk,smndt0(xm))),
inference(superposition,[status(thm)],[c_17878,c_66]) ).
tcf(c_17905,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xm))),sdtpldt0(xk,smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_17878,c_59]) ).
tcf(c_17906,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xm)),smndt0(sdtpldt0(xk,smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_17878,c_58]) ).
tcf(c_17907,plain,
sdtasdt0(sz00,sdtpldt0(xk,smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_17878,c_69]) ).
tcf(c_17908,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17878,c_68]) ).
tcf(c_17909,plain,
sdtasdt0(sz10,sdtpldt0(xk,smndt0(xm))) = sdtpldt0(xk,smndt0(xm)),
inference(superposition,[status(thm)],[c_17878,c_63]) ).
tcf(c_17910,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xm)),sz10) = sdtpldt0(xk,smndt0(xm)),
inference(superposition,[status(thm)],[c_17878,c_62]) ).
tcf(c_17911,plain,
sdtpldt0(sz00,sdtpldt0(xk,smndt0(xm))) = sdtpldt0(xk,smndt0(xm)),
inference(superposition,[status(thm)],[c_17878,c_57]) ).
tcf(c_17912,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xm)),sz00) = sdtpldt0(xk,smndt0(xm)),
inference(superposition,[status(thm)],[c_17878,c_56]) ).
tcf(c_17960,plain,
( aElement0(sdtpldt0(xk,smndt0(xn)))
| ~ aElement0(xk)
| ~ aElement0(smndt0(xn)) ),
inference(superposition,[status(thm)],[c_11935,c_52]) ).
tcf(c_17961,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xn)),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(xn),xJ) ),
inference(superposition,[status(thm)],[c_11935,c_954]) ).
tcf(c_17962,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xn)),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(xn),xI) ),
inference(superposition,[status(thm)],[c_11935,c_930]) ).
tcf(c_17963,plain,
aElement0(sdtpldt0(xk,smndt0(xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_17960,c_2674,c_5445]) ).
tcf(c_17964,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xn)),xI)
| ~ aElementOf0(smndt0(xn),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17962,c_104]) ).
tcf(c_17975,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xn)),xm) = sdtpldt0(xm,sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_3264]) ).
tcf(c_17976,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xn)),xl) = sdtpldt0(xl,sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_3263]) ).
tcf(c_17977,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xn)),xk) = sdtpldt0(xk,sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_3262]) ).
tcf(c_17978,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xn)),xz) = sdtpldt0(xz,sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_3261]) ).
tcf(c_17979,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xn)),sz10) = sdtpldt0(sz10,sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_3257]) ).
tcf(c_17980,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_3256]) ).
tcf(c_17981,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,smndt0(xn)))) = smndt0(sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_2598]) ).
tcf(c_17982,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xn))),sz10) = smndt0(sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_2587]) ).
tcf(c_17983,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,smndt0(xn)))) = smndt0(sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_2576]) ).
tcf(c_17984,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xn))),sz00) = smndt0(sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_2565]) ).
tcf(c_17985,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_17963,c_2644]) ).
tcf(c_17986,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17963,c_2633]) ).
tcf(c_17987,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,smndt0(xn))),sdtasdt0(X1,sdtpldt0(xk,smndt0(xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,smndt0(xn))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17963,c_65]) ).
tcf(c_17988,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,smndt0(xn)),X0),sdtasdt0(sdtpldt0(xk,smndt0(xn)),X1)) = sdtasdt0(sdtpldt0(xk,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17963,c_64]) ).
tcf(c_17989,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,smndt0(xn)),X0),X1) = sdtasdt0(sdtpldt0(xk,smndt0(xn)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17963,c_61]) ).
tcf(c_17990,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,smndt0(xn)),X0),X1) = sdtpldt0(sdtpldt0(xk,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17963,c_55]) ).
tcf(c_17991,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,smndt0(xn)),X0) = sdtasdt0(X0,sdtpldt0(xk,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17963,c_60]) ).
tcf(c_17992,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,smndt0(xn)),X0) = sdtpldt0(X0,sdtpldt0(xk,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_17963,c_54]) ).
tcf(c_17993,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xn)),smndt0(sz10)) = smndt0(sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_67]) ).
tcf(c_17994,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,smndt0(xn))) = smndt0(sdtpldt0(xk,smndt0(xn))),
inference(superposition,[status(thm)],[c_17963,c_66]) ).
tcf(c_17995,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xn))),sdtpldt0(xk,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_17963,c_59]) ).
tcf(c_17996,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xn)),smndt0(sdtpldt0(xk,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_17963,c_58]) ).
tcf(c_17997,plain,
sdtasdt0(sz00,sdtpldt0(xk,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_17963,c_69]) ).
tcf(c_17998,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17963,c_68]) ).
tcf(c_17999,plain,
sdtasdt0(sz10,sdtpldt0(xk,smndt0(xn))) = sdtpldt0(xk,smndt0(xn)),
inference(superposition,[status(thm)],[c_17963,c_63]) ).
tcf(c_18000,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xn)),sz10) = sdtpldt0(xk,smndt0(xn)),
inference(superposition,[status(thm)],[c_17963,c_62]) ).
tcf(c_18001,plain,
sdtpldt0(sz00,sdtpldt0(xk,smndt0(xn))) = sdtpldt0(xk,smndt0(xn)),
inference(superposition,[status(thm)],[c_17963,c_57]) ).
tcf(c_18002,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xn)),sz00) = sdtpldt0(xk,smndt0(xn)),
inference(superposition,[status(thm)],[c_17963,c_56]) ).
tcf(c_18196,plain,
( aElement0(sdtpldt0(xk,smndt0(xx)))
| ~ aElement0(xk)
| ~ aElement0(smndt0(xx)) ),
inference(superposition,[status(thm)],[c_11936,c_52]) ).
tcf(c_18197,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xx)),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(xx),xJ) ),
inference(superposition,[status(thm)],[c_11936,c_954]) ).
tcf(c_18198,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xx)),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(xx),xI) ),
inference(superposition,[status(thm)],[c_11936,c_930]) ).
tcf(c_18199,plain,
aElement0(sdtpldt0(xk,smndt0(xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_18196,c_2674,c_5528]) ).
tcf(c_18200,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xx)),xI)
| ~ aElementOf0(smndt0(xx),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18198,c_104]) ).
tcf(c_18219,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xx)),xm) = sdtpldt0(xm,sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_3264]) ).
tcf(c_18220,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xx)),xl) = sdtpldt0(xl,sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_3263]) ).
tcf(c_18221,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xx)),xk) = sdtpldt0(xk,sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_3262]) ).
tcf(c_18222,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xx)),xz) = sdtpldt0(xz,sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_3261]) ).
tcf(c_18223,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xx)),sz10) = sdtpldt0(sz10,sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_3257]) ).
tcf(c_18224,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xx)),sz00) = sdtpldt0(sz00,sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_3256]) ).
tcf(c_18225,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,smndt0(xx)))) = smndt0(sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_2598]) ).
tcf(c_18226,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xx))),sz10) = smndt0(sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_2587]) ).
tcf(c_18227,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,smndt0(xx)))) = smndt0(sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_2576]) ).
tcf(c_18228,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xx))),sz00) = smndt0(sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_2565]) ).
tcf(c_18229,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,smndt0(xx)))) = sz00,
inference(superposition,[status(thm)],[c_18199,c_2644]) ).
tcf(c_18230,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xx))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18199,c_2633]) ).
tcf(c_18231,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,smndt0(xx))),sdtasdt0(X1,sdtpldt0(xk,smndt0(xx)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,smndt0(xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_65]) ).
tcf(c_18232,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,smndt0(xx)),X0),sdtasdt0(sdtpldt0(xk,smndt0(xx)),X1)) = sdtasdt0(sdtpldt0(xk,smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_64]) ).
tcf(c_18233,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,smndt0(xx)),X0),X1) = sdtasdt0(sdtpldt0(xk,smndt0(xx)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_61]) ).
tcf(c_18234,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,smndt0(xx)),X0),X1) = sdtpldt0(sdtpldt0(xk,smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_55]) ).
tcf(c_18235,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,smndt0(xx)),X0) = sdtasdt0(X0,sdtpldt0(xk,smndt0(xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_60]) ).
tcf(c_18236,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,smndt0(xx)),X0) = sdtpldt0(X0,sdtpldt0(xk,smndt0(xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_54]) ).
tcf(c_18237,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xx)),smndt0(sz10)) = smndt0(sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_67]) ).
tcf(c_18238,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,smndt0(xx))) = smndt0(sdtpldt0(xk,smndt0(xx))),
inference(superposition,[status(thm)],[c_18199,c_66]) ).
tcf(c_18239,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xx))),sdtpldt0(xk,smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_18199,c_59]) ).
tcf(c_18240,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xx)),smndt0(sdtpldt0(xk,smndt0(xx)))) = sz00,
inference(superposition,[status(thm)],[c_18199,c_58]) ).
tcf(c_18241,plain,
sdtasdt0(sz00,sdtpldt0(xk,smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_18199,c_69]) ).
tcf(c_18242,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xx)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18199,c_68]) ).
tcf(c_18243,plain,
sdtasdt0(sz10,sdtpldt0(xk,smndt0(xx))) = sdtpldt0(xk,smndt0(xx)),
inference(superposition,[status(thm)],[c_18199,c_63]) ).
tcf(c_18244,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xx)),sz10) = sdtpldt0(xk,smndt0(xx)),
inference(superposition,[status(thm)],[c_18199,c_62]) ).
tcf(c_18245,plain,
sdtpldt0(sz00,sdtpldt0(xk,smndt0(xx))) = sdtpldt0(xk,smndt0(xx)),
inference(superposition,[status(thm)],[c_18199,c_57]) ).
tcf(c_18246,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xx)),sz00) = sdtpldt0(xk,smndt0(xx)),
inference(superposition,[status(thm)],[c_18199,c_56]) ).
tcf(c_18424,plain,
( aElement0(sdtpldt0(xk,smndt0(xy)))
| ~ aElement0(xk)
| ~ aElement0(smndt0(xy)) ),
inference(superposition,[status(thm)],[c_11937,c_52]) ).
tcf(c_18425,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xy)),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(xy),xJ) ),
inference(superposition,[status(thm)],[c_11937,c_954]) ).
tcf(c_18426,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xy)),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(xy),xI) ),
inference(superposition,[status(thm)],[c_11937,c_930]) ).
tcf(c_18427,plain,
aElement0(sdtpldt0(xk,smndt0(xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_18424,c_2674,c_5604]) ).
tcf(c_18428,plain,
( aElementOf0(sdtpldt0(xk,smndt0(xy)),xI)
| ~ aElementOf0(smndt0(xy),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18426,c_104]) ).
tcf(c_18434,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xy)),xm) = sdtpldt0(xm,sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_3264]) ).
tcf(c_18435,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xy)),xl) = sdtpldt0(xl,sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_3263]) ).
tcf(c_18436,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xy)),xk) = sdtpldt0(xk,sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_3262]) ).
tcf(c_18437,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xy)),xz) = sdtpldt0(xz,sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_3261]) ).
tcf(c_18438,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xy)),sz10) = sdtpldt0(sz10,sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_3257]) ).
tcf(c_18439,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xy)),sz00) = sdtpldt0(sz00,sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_3256]) ).
tcf(c_18440,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,smndt0(xy)))) = smndt0(sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_2598]) ).
tcf(c_18441,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xy))),sz10) = smndt0(sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_2587]) ).
tcf(c_18442,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,smndt0(xy)))) = smndt0(sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_2576]) ).
tcf(c_18443,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xy))),sz00) = smndt0(sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_2565]) ).
tcf(c_18444,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,smndt0(xy)))) = sz00,
inference(superposition,[status(thm)],[c_18427,c_2644]) ).
tcf(c_18445,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(xy))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18427,c_2633]) ).
tcf(c_18446,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,smndt0(xy))),sdtasdt0(X1,sdtpldt0(xk,smndt0(xy)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,smndt0(xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18427,c_65]) ).
tcf(c_18447,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,smndt0(xy)),X0),sdtasdt0(sdtpldt0(xk,smndt0(xy)),X1)) = sdtasdt0(sdtpldt0(xk,smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18427,c_64]) ).
tcf(c_18448,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,smndt0(xy)),X0),X1) = sdtasdt0(sdtpldt0(xk,smndt0(xy)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18427,c_61]) ).
tcf(c_18449,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,smndt0(xy)),X0),X1) = sdtpldt0(sdtpldt0(xk,smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18427,c_55]) ).
tcf(c_18450,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,smndt0(xy)),X0) = sdtasdt0(X0,sdtpldt0(xk,smndt0(xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18427,c_60]) ).
tcf(c_18451,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,smndt0(xy)),X0) = sdtpldt0(X0,sdtpldt0(xk,smndt0(xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18427,c_54]) ).
tcf(c_18452,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xy)),smndt0(sz10)) = smndt0(sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_67]) ).
tcf(c_18453,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,smndt0(xy))) = smndt0(sdtpldt0(xk,smndt0(xy))),
inference(superposition,[status(thm)],[c_18427,c_66]) ).
tcf(c_18454,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(xy))),sdtpldt0(xk,smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_18427,c_59]) ).
tcf(c_18455,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xy)),smndt0(sdtpldt0(xk,smndt0(xy)))) = sz00,
inference(superposition,[status(thm)],[c_18427,c_58]) ).
tcf(c_18456,plain,
sdtasdt0(sz00,sdtpldt0(xk,smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_18427,c_69]) ).
tcf(c_18457,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18427,c_68]) ).
tcf(c_18458,plain,
sdtasdt0(sz10,sdtpldt0(xk,smndt0(xy))) = sdtpldt0(xk,smndt0(xy)),
inference(superposition,[status(thm)],[c_18427,c_63]) ).
tcf(c_18459,plain,
sdtasdt0(sdtpldt0(xk,smndt0(xy)),sz10) = sdtpldt0(xk,smndt0(xy)),
inference(superposition,[status(thm)],[c_18427,c_62]) ).
tcf(c_18460,plain,
sdtpldt0(sz00,sdtpldt0(xk,smndt0(xy))) = sdtpldt0(xk,smndt0(xy)),
inference(superposition,[status(thm)],[c_18427,c_57]) ).
tcf(c_18461,plain,
sdtpldt0(sdtpldt0(xk,smndt0(xy)),sz00) = sdtpldt0(xk,smndt0(xy)),
inference(superposition,[status(thm)],[c_18427,c_56]) ).
tcf(c_18618,plain,
( aElement0(sdtpldt0(xk,smndt0(iPr_def_12)))
| ~ aElement0(xk)
| ~ aElement0(smndt0(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11938,c_52]) ).
tcf(c_18619,plain,
( aElementOf0(sdtpldt0(xk,smndt0(iPr_def_12)),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(iPr_def_12),xJ) ),
inference(superposition,[status(thm)],[c_11938,c_954]) ).
tcf(c_18620,plain,
( aElementOf0(sdtpldt0(xk,smndt0(iPr_def_12)),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(iPr_def_12),xI) ),
inference(superposition,[status(thm)],[c_11938,c_930]) ).
tcf(c_18621,plain,
aElement0(sdtpldt0(xk,smndt0(iPr_def_12))),
inference(forward_subsumption_resolution,[status(thm)],[c_18618,c_2674,c_5680]) ).
tcf(c_18622,plain,
( aElementOf0(sdtpldt0(xk,smndt0(iPr_def_12)),xI)
| ~ aElementOf0(smndt0(iPr_def_12),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18620,c_104]) ).
tcf(c_18628,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),xm) = sdtpldt0(xm,sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_3264]) ).
tcf(c_18629,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),xl) = sdtpldt0(xl,sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_3263]) ).
tcf(c_18630,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),xk) = sdtpldt0(xk,sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_3262]) ).
tcf(c_18631,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),xz) = sdtpldt0(xz,sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_3261]) ).
tcf(c_18632,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),sz10) = sdtpldt0(sz10,sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_3257]) ).
tcf(c_18633,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),sz00) = sdtpldt0(sz00,sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_3256]) ).
tcf(c_18634,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,smndt0(iPr_def_12)))) = smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_2598]) ).
tcf(c_18635,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),sz10) = smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_2587]) ).
tcf(c_18636,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,smndt0(iPr_def_12)))) = smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_2576]) ).
tcf(c_18637,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),sz00) = smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_2565]) ).
tcf(c_18638,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,smndt0(iPr_def_12)))) = sz00,
inference(superposition,[status(thm)],[c_18621,c_2644]) ).
tcf(c_18639,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18621,c_2633]) ).
tcf(c_18640,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,smndt0(iPr_def_12))),sdtasdt0(X1,sdtpldt0(xk,smndt0(iPr_def_12)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,smndt0(iPr_def_12))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18621,c_65]) ).
tcf(c_18641,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),X0),sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),X1)) = sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18621,c_64]) ).
tcf(c_18642,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),X0),X1) = sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18621,c_61]) ).
tcf(c_18643,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),X0),X1) = sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18621,c_55]) ).
tcf(c_18644,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),X0) = sdtasdt0(X0,sdtpldt0(xk,smndt0(iPr_def_12))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18621,c_60]) ).
tcf(c_18645,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),X0) = sdtpldt0(X0,sdtpldt0(xk,smndt0(iPr_def_12))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18621,c_54]) ).
tcf(c_18646,plain,
sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),smndt0(sz10)) = smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_67]) ).
tcf(c_18647,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,smndt0(iPr_def_12))) = smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_18621,c_66]) ).
tcf(c_18648,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(iPr_def_12))),sdtpldt0(xk,smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_18621,c_59]) ).
tcf(c_18649,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),smndt0(sdtpldt0(xk,smndt0(iPr_def_12)))) = sz00,
inference(superposition,[status(thm)],[c_18621,c_58]) ).
tcf(c_18650,plain,
sdtasdt0(sz00,sdtpldt0(xk,smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_18621,c_69]) ).
tcf(c_18651,plain,
sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18621,c_68]) ).
tcf(c_18652,plain,
sdtasdt0(sz10,sdtpldt0(xk,smndt0(iPr_def_12))) = sdtpldt0(xk,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_18621,c_63]) ).
tcf(c_18653,plain,
sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_12)),sz10) = sdtpldt0(xk,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_18621,c_62]) ).
tcf(c_18654,plain,
sdtpldt0(sz00,sdtpldt0(xk,smndt0(iPr_def_12))) = sdtpldt0(xk,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_18621,c_57]) ).
tcf(c_18655,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_12)),sz00) = sdtpldt0(xk,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_18621,c_56]) ).
tcf(c_18757,plain,
( aElement0(sdtpldt0(xk,smndt0(iPr_def_10)))
| ~ aElement0(xk)
| ~ aElement0(smndt0(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_11939,c_52]) ).
tcf(c_18758,plain,
( aElementOf0(sdtpldt0(xk,smndt0(iPr_def_10)),xJ)
| ~ aElementOf0(xk,xJ)
| ~ aElementOf0(smndt0(iPr_def_10),xJ) ),
inference(superposition,[status(thm)],[c_11939,c_954]) ).
tcf(c_18759,plain,
( aElementOf0(sdtpldt0(xk,smndt0(iPr_def_10)),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(smndt0(iPr_def_10),xI) ),
inference(superposition,[status(thm)],[c_11939,c_930]) ).
tcf(c_18760,plain,
aElement0(sdtpldt0(xk,smndt0(iPr_def_10))),
inference(forward_subsumption_resolution,[status(thm)],[c_18757,c_2674,c_5796]) ).
tcf(c_18761,plain,
( aElementOf0(sdtpldt0(xk,smndt0(iPr_def_10)),xI)
| ~ aElementOf0(smndt0(iPr_def_10),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18759,c_104]) ).
tcf(c_18767,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),xm) = sdtpldt0(xm,sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_3264]) ).
tcf(c_18768,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),xl) = sdtpldt0(xl,sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_3263]) ).
tcf(c_18769,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),xk) = sdtpldt0(xk,sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_3262]) ).
tcf(c_18770,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),xz) = sdtpldt0(xz,sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_3261]) ).
tcf(c_18771,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),sz10) = sdtpldt0(sz10,sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_3257]) ).
tcf(c_18772,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),sz00) = sdtpldt0(sz00,sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_3256]) ).
tcf(c_18773,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xk,smndt0(iPr_def_10)))) = smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_2598]) ).
tcf(c_18774,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),sz10) = smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_2587]) ).
tcf(c_18775,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xk,smndt0(iPr_def_10)))) = smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_2576]) ).
tcf(c_18776,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),sz00) = smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_2565]) ).
tcf(c_18777,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xk,smndt0(iPr_def_10)))) = sz00,
inference(superposition,[status(thm)],[c_18760,c_2644]) ).
tcf(c_18778,plain,
sdtasdt0(smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18760,c_2633]) ).
tcf(c_18779,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xk,smndt0(iPr_def_10))),sdtasdt0(X1,sdtpldt0(xk,smndt0(iPr_def_10)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xk,smndt0(iPr_def_10))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18760,c_65]) ).
tcf(c_18780,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),X0),sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),X1)) = sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18760,c_64]) ).
tcf(c_18781,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),X0),X1) = sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18760,c_61]) ).
tcf(c_18782,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),X0),X1) = sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18760,c_55]) ).
tcf(c_18783,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),X0) = sdtasdt0(X0,sdtpldt0(xk,smndt0(iPr_def_10))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18760,c_60]) ).
tcf(c_18784,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),X0) = sdtpldt0(X0,sdtpldt0(xk,smndt0(iPr_def_10))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18760,c_54]) ).
tcf(c_18785,plain,
sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),smndt0(sz10)) = smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_67]) ).
tcf(c_18786,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xk,smndt0(iPr_def_10))) = smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_18760,c_66]) ).
tcf(c_18787,plain,
sdtpldt0(smndt0(sdtpldt0(xk,smndt0(iPr_def_10))),sdtpldt0(xk,smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_18760,c_59]) ).
tcf(c_18788,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),smndt0(sdtpldt0(xk,smndt0(iPr_def_10)))) = sz00,
inference(superposition,[status(thm)],[c_18760,c_58]) ).
tcf(c_18789,plain,
sdtasdt0(sz00,sdtpldt0(xk,smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_18760,c_69]) ).
tcf(c_18790,plain,
sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18760,c_68]) ).
tcf(c_18791,plain,
sdtasdt0(sz10,sdtpldt0(xk,smndt0(iPr_def_10))) = sdtpldt0(xk,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_18760,c_63]) ).
tcf(c_18792,plain,
sdtasdt0(sdtpldt0(xk,smndt0(iPr_def_10)),sz10) = sdtpldt0(xk,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_18760,c_62]) ).
tcf(c_18793,plain,
sdtpldt0(sz00,sdtpldt0(xk,smndt0(iPr_def_10))) = sdtpldt0(xk,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_18760,c_57]) ).
tcf(c_18794,plain,
sdtpldt0(sdtpldt0(xk,smndt0(iPr_def_10)),sz00) = sdtpldt0(xk,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_18760,c_56]) ).
tcf(c_18913,plain,
( aElement0(sdtpldt0(xl,smndt0(xz)))
| ~ aElement0(xl)
| ~ aElement0(smndt0(xz)) ),
inference(superposition,[status(thm)],[c_12076,c_52]) ).
tcf(c_18914,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xz)),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(xz),xJ) ),
inference(superposition,[status(thm)],[c_12076,c_954]) ).
tcf(c_18915,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xz)),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(xz),xI) ),
inference(superposition,[status(thm)],[c_12076,c_930]) ).
tcf(c_18916,plain,
aElement0(sdtpldt0(xl,smndt0(xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_18913,c_2673,c_5066]) ).
tcf(c_18920,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xz)),xJ)
| ~ aElementOf0(smndt0(xz),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18914,c_105]) ).
tcf(c_18923,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xz)),xm) = sdtpldt0(xm,sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_3264]) ).
tcf(c_18924,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xz)),xl) = sdtpldt0(xl,sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_3263]) ).
tcf(c_18925,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xz)),xk) = sdtpldt0(xk,sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_3262]) ).
tcf(c_18926,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xz)),xz) = sdtpldt0(xz,sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_3261]) ).
tcf(c_18927,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xz)),sz10) = sdtpldt0(sz10,sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_3257]) ).
tcf(c_18928,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xz)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_3256]) ).
tcf(c_18929,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,smndt0(xz)))) = smndt0(sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_2598]) ).
tcf(c_18930,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xz))),sz10) = smndt0(sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_2587]) ).
tcf(c_18931,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,smndt0(xz)))) = smndt0(sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_2576]) ).
tcf(c_18932,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xz))),sz00) = smndt0(sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_2565]) ).
tcf(c_18933,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,smndt0(xz)))) = sz00,
inference(superposition,[status(thm)],[c_18916,c_2644]) ).
tcf(c_18934,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xz))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18916,c_2633]) ).
tcf(c_18935,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,smndt0(xz))),sdtasdt0(X1,sdtpldt0(xl,smndt0(xz)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,smndt0(xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18916,c_65]) ).
tcf(c_18936,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,smndt0(xz)),X0),sdtasdt0(sdtpldt0(xl,smndt0(xz)),X1)) = sdtasdt0(sdtpldt0(xl,smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18916,c_64]) ).
tcf(c_18937,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,smndt0(xz)),X0),X1) = sdtasdt0(sdtpldt0(xl,smndt0(xz)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18916,c_61]) ).
tcf(c_18938,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,smndt0(xz)),X0),X1) = sdtpldt0(sdtpldt0(xl,smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18916,c_55]) ).
tcf(c_18939,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,smndt0(xz)),X0) = sdtasdt0(X0,sdtpldt0(xl,smndt0(xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18916,c_60]) ).
tcf(c_18940,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,smndt0(xz)),X0) = sdtpldt0(X0,sdtpldt0(xl,smndt0(xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18916,c_54]) ).
tcf(c_18941,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xz)),smndt0(sz10)) = smndt0(sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_67]) ).
tcf(c_18942,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,smndt0(xz))) = smndt0(sdtpldt0(xl,smndt0(xz))),
inference(superposition,[status(thm)],[c_18916,c_66]) ).
tcf(c_18943,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xz))),sdtpldt0(xl,smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_18916,c_59]) ).
tcf(c_18944,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xz)),smndt0(sdtpldt0(xl,smndt0(xz)))) = sz00,
inference(superposition,[status(thm)],[c_18916,c_58]) ).
tcf(c_18945,plain,
sdtasdt0(sz00,sdtpldt0(xl,smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_18916,c_69]) ).
tcf(c_18946,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18916,c_68]) ).
tcf(c_18947,plain,
sdtasdt0(sz10,sdtpldt0(xl,smndt0(xz))) = sdtpldt0(xl,smndt0(xz)),
inference(superposition,[status(thm)],[c_18916,c_63]) ).
tcf(c_18948,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xz)),sz10) = sdtpldt0(xl,smndt0(xz)),
inference(superposition,[status(thm)],[c_18916,c_62]) ).
tcf(c_18949,plain,
sdtpldt0(sz00,sdtpldt0(xl,smndt0(xz))) = sdtpldt0(xl,smndt0(xz)),
inference(superposition,[status(thm)],[c_18916,c_57]) ).
tcf(c_18950,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xz)),sz00) = sdtpldt0(xl,smndt0(xz)),
inference(superposition,[status(thm)],[c_18916,c_56]) ).
tcf(c_18988,plain,
( aElement0(sdtpldt0(xl,smndt0(xk)))
| ~ aElement0(xl)
| ~ aElement0(smndt0(xk)) ),
inference(superposition,[status(thm)],[c_12077,c_52]) ).
tcf(c_18989,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xk)),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(xk),xJ) ),
inference(superposition,[status(thm)],[c_12077,c_954]) ).
tcf(c_18990,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xk)),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(xk),xI) ),
inference(superposition,[status(thm)],[c_12077,c_930]) ).
tcf(c_18991,plain,
aElement0(sdtpldt0(xl,smndt0(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_18988,c_2673,c_5206]) ).
tcf(c_18995,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xk)),xJ)
| ~ aElementOf0(smndt0(xk),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18989,c_105]) ).
tcf(c_19062,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xk)),xm) = sdtpldt0(xm,sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_3264]) ).
tcf(c_19063,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xk)),xl) = sdtpldt0(xl,sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_3263]) ).
tcf(c_19064,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xk)),xk) = sdtpldt0(xk,sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_3262]) ).
tcf(c_19065,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xk)),xz) = sdtpldt0(xz,sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_3261]) ).
tcf(c_19066,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xk)),sz10) = sdtpldt0(sz10,sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_3257]) ).
tcf(c_19067,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xk)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_3256]) ).
tcf(c_19068,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,smndt0(xk)))) = smndt0(sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_2598]) ).
tcf(c_19069,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xk))),sz10) = smndt0(sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_2587]) ).
tcf(c_19070,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,smndt0(xk)))) = smndt0(sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_2576]) ).
tcf(c_19071,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xk))),sz00) = smndt0(sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_2565]) ).
tcf(c_19072,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,smndt0(xk)))) = sz00,
inference(superposition,[status(thm)],[c_18991,c_2644]) ).
tcf(c_19073,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xk))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18991,c_2633]) ).
tcf(c_19074,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,smndt0(xk))),sdtasdt0(X1,sdtpldt0(xl,smndt0(xk)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,smndt0(xk))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18991,c_65]) ).
tcf(c_19075,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,smndt0(xk)),X0),sdtasdt0(sdtpldt0(xl,smndt0(xk)),X1)) = sdtasdt0(sdtpldt0(xl,smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18991,c_64]) ).
tcf(c_19076,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,smndt0(xk)),X0),X1) = sdtasdt0(sdtpldt0(xl,smndt0(xk)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18991,c_61]) ).
tcf(c_19077,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,smndt0(xk)),X0),X1) = sdtpldt0(sdtpldt0(xl,smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18991,c_55]) ).
tcf(c_19078,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,smndt0(xk)),X0) = sdtasdt0(X0,sdtpldt0(xl,smndt0(xk))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18991,c_60]) ).
tcf(c_19079,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,smndt0(xk)),X0) = sdtpldt0(X0,sdtpldt0(xl,smndt0(xk))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_18991,c_54]) ).
tcf(c_19080,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xk)),smndt0(sz10)) = smndt0(sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_67]) ).
tcf(c_19081,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,smndt0(xk))) = smndt0(sdtpldt0(xl,smndt0(xk))),
inference(superposition,[status(thm)],[c_18991,c_66]) ).
tcf(c_19082,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xk))),sdtpldt0(xl,smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_18991,c_59]) ).
tcf(c_19083,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xk)),smndt0(sdtpldt0(xl,smndt0(xk)))) = sz00,
inference(superposition,[status(thm)],[c_18991,c_58]) ).
tcf(c_19084,plain,
sdtasdt0(sz00,sdtpldt0(xl,smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_18991,c_69]) ).
tcf(c_19085,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18991,c_68]) ).
tcf(c_19086,plain,
sdtasdt0(sz10,sdtpldt0(xl,smndt0(xk))) = sdtpldt0(xl,smndt0(xk)),
inference(superposition,[status(thm)],[c_18991,c_63]) ).
tcf(c_19087,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xk)),sz10) = sdtpldt0(xl,smndt0(xk)),
inference(superposition,[status(thm)],[c_18991,c_62]) ).
tcf(c_19088,plain,
sdtpldt0(sz00,sdtpldt0(xl,smndt0(xk))) = sdtpldt0(xl,smndt0(xk)),
inference(superposition,[status(thm)],[c_18991,c_57]) ).
tcf(c_19089,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xk)),sz00) = sdtpldt0(xl,smndt0(xk)),
inference(superposition,[status(thm)],[c_18991,c_56]) ).
tcf(c_19167,plain,
( aElement0(sdtpldt0(xl,smndt0(xm)))
| ~ aElement0(xl)
| ~ aElement0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_12079,c_52]) ).
tcf(c_19168,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xm)),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(xm),xJ) ),
inference(superposition,[status(thm)],[c_12079,c_954]) ).
tcf(c_19169,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xm)),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(xm),xI) ),
inference(superposition,[status(thm)],[c_12079,c_930]) ).
tcf(c_19170,plain,
aElement0(sdtpldt0(xl,smndt0(xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_19167,c_2673,c_5356]) ).
tcf(c_19174,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xm)),xJ)
| ~ aElementOf0(smndt0(xm),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19168,c_105]) ).
tcf(c_19177,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_3264]) ).
tcf(c_19178,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_3263]) ).
tcf(c_19179,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xm)),xk) = sdtpldt0(xk,sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_3262]) ).
tcf(c_19180,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xm)),xz) = sdtpldt0(xz,sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_3261]) ).
tcf(c_19181,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xm)),sz10) = sdtpldt0(sz10,sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_3257]) ).
tcf(c_19182,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_3256]) ).
tcf(c_19183,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,smndt0(xm)))) = smndt0(sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_2598]) ).
tcf(c_19184,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xm))),sz10) = smndt0(sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_2587]) ).
tcf(c_19185,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,smndt0(xm)))) = smndt0(sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_2576]) ).
tcf(c_19186,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xm))),sz00) = smndt0(sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_2565]) ).
tcf(c_19187,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_19170,c_2644]) ).
tcf(c_19188,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19170,c_2633]) ).
tcf(c_19189,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,smndt0(xm))),sdtasdt0(X1,sdtpldt0(xl,smndt0(xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,smndt0(xm))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19170,c_65]) ).
tcf(c_19190,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,smndt0(xm)),X0),sdtasdt0(sdtpldt0(xl,smndt0(xm)),X1)) = sdtasdt0(sdtpldt0(xl,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19170,c_64]) ).
tcf(c_19191,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,smndt0(xm)),X0),X1) = sdtasdt0(sdtpldt0(xl,smndt0(xm)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19170,c_61]) ).
tcf(c_19192,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,smndt0(xm)),X0),X1) = sdtpldt0(sdtpldt0(xl,smndt0(xm)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19170,c_55]) ).
tcf(c_19193,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,smndt0(xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,smndt0(xm))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19170,c_60]) ).
tcf(c_19194,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,smndt0(xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,smndt0(xm))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19170,c_54]) ).
tcf(c_19195,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xm)),smndt0(sz10)) = smndt0(sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_67]) ).
tcf(c_19196,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,smndt0(xm))) = smndt0(sdtpldt0(xl,smndt0(xm))),
inference(superposition,[status(thm)],[c_19170,c_66]) ).
tcf(c_19197,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xm))),sdtpldt0(xl,smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_19170,c_59]) ).
tcf(c_19198,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xm)),smndt0(sdtpldt0(xl,smndt0(xm)))) = sz00,
inference(superposition,[status(thm)],[c_19170,c_58]) ).
tcf(c_19199,plain,
sdtasdt0(sz00,sdtpldt0(xl,smndt0(xm))) = sz00,
inference(superposition,[status(thm)],[c_19170,c_69]) ).
tcf(c_19200,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_19170,c_68]) ).
tcf(c_19201,plain,
sdtasdt0(sz10,sdtpldt0(xl,smndt0(xm))) = sdtpldt0(xl,smndt0(xm)),
inference(superposition,[status(thm)],[c_19170,c_63]) ).
tcf(c_19202,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xm)),sz10) = sdtpldt0(xl,smndt0(xm)),
inference(superposition,[status(thm)],[c_19170,c_62]) ).
tcf(c_19203,plain,
sdtpldt0(sz00,sdtpldt0(xl,smndt0(xm))) = sdtpldt0(xl,smndt0(xm)),
inference(superposition,[status(thm)],[c_19170,c_57]) ).
tcf(c_19204,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xm)),sz00) = sdtpldt0(xl,smndt0(xm)),
inference(superposition,[status(thm)],[c_19170,c_56]) ).
tcf(c_19378,plain,
( aElement0(sdtpldt0(xl,smndt0(xn)))
| ~ aElement0(xl)
| ~ aElement0(smndt0(xn)) ),
inference(superposition,[status(thm)],[c_12080,c_52]) ).
tcf(c_19379,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xn)),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(xn),xJ) ),
inference(superposition,[status(thm)],[c_12080,c_954]) ).
tcf(c_19380,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xn)),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(xn),xI) ),
inference(superposition,[status(thm)],[c_12080,c_930]) ).
tcf(c_19381,plain,
aElement0(sdtpldt0(xl,smndt0(xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_19378,c_2673,c_5445]) ).
tcf(c_19385,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xn)),xJ)
| ~ aElementOf0(smndt0(xn),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19379,c_105]) ).
tcf(c_19388,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_3264]) ).
tcf(c_19389,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_3263]) ).
tcf(c_19390,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xn)),xk) = sdtpldt0(xk,sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_3262]) ).
tcf(c_19391,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xn)),xz) = sdtpldt0(xz,sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_3261]) ).
tcf(c_19392,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xn)),sz10) = sdtpldt0(sz10,sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_3257]) ).
tcf(c_19393,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_3256]) ).
tcf(c_19394,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,smndt0(xn)))) = smndt0(sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_2598]) ).
tcf(c_19395,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xn))),sz10) = smndt0(sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_2587]) ).
tcf(c_19396,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,smndt0(xn)))) = smndt0(sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_2576]) ).
tcf(c_19397,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xn))),sz00) = smndt0(sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_2565]) ).
tcf(c_19398,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_19381,c_2644]) ).
tcf(c_19399,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19381,c_2633]) ).
tcf(c_19400,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,smndt0(xn))),sdtasdt0(X1,sdtpldt0(xl,smndt0(xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,smndt0(xn))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19381,c_65]) ).
tcf(c_19401,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,smndt0(xn)),X0),sdtasdt0(sdtpldt0(xl,smndt0(xn)),X1)) = sdtasdt0(sdtpldt0(xl,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19381,c_64]) ).
tcf(c_19402,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,smndt0(xn)),X0),X1) = sdtasdt0(sdtpldt0(xl,smndt0(xn)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19381,c_61]) ).
tcf(c_19403,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,smndt0(xn)),X0),X1) = sdtpldt0(sdtpldt0(xl,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19381,c_55]) ).
tcf(c_19404,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,smndt0(xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19381,c_60]) ).
tcf(c_19405,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,smndt0(xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19381,c_54]) ).
tcf(c_19406,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xn)),smndt0(sz10)) = smndt0(sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_67]) ).
tcf(c_19407,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,smndt0(xn))) = smndt0(sdtpldt0(xl,smndt0(xn))),
inference(superposition,[status(thm)],[c_19381,c_66]) ).
tcf(c_19408,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xn))),sdtpldt0(xl,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_19381,c_59]) ).
tcf(c_19409,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xn)),smndt0(sdtpldt0(xl,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_19381,c_58]) ).
tcf(c_19410,plain,
sdtasdt0(sz00,sdtpldt0(xl,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_19381,c_69]) ).
tcf(c_19411,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_19381,c_68]) ).
tcf(c_19412,plain,
sdtasdt0(sz10,sdtpldt0(xl,smndt0(xn))) = sdtpldt0(xl,smndt0(xn)),
inference(superposition,[status(thm)],[c_19381,c_63]) ).
tcf(c_19413,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xn)),sz10) = sdtpldt0(xl,smndt0(xn)),
inference(superposition,[status(thm)],[c_19381,c_62]) ).
tcf(c_19414,plain,
sdtpldt0(sz00,sdtpldt0(xl,smndt0(xn))) = sdtpldt0(xl,smndt0(xn)),
inference(superposition,[status(thm)],[c_19381,c_57]) ).
tcf(c_19415,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xn)),sz00) = sdtpldt0(xl,smndt0(xn)),
inference(superposition,[status(thm)],[c_19381,c_56]) ).
tcf(c_19523,plain,
( aElement0(sdtpldt0(xl,smndt0(xx)))
| ~ aElement0(xl)
| ~ aElement0(smndt0(xx)) ),
inference(superposition,[status(thm)],[c_12081,c_52]) ).
tcf(c_19524,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xx)),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(xx),xJ) ),
inference(superposition,[status(thm)],[c_12081,c_954]) ).
tcf(c_19525,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xx)),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(xx),xI) ),
inference(superposition,[status(thm)],[c_12081,c_930]) ).
tcf(c_19526,plain,
aElement0(sdtpldt0(xl,smndt0(xx))),
inference(forward_subsumption_resolution,[status(thm)],[c_19523,c_2673,c_5528]) ).
tcf(c_19530,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xx)),xJ)
| ~ aElementOf0(smndt0(xx),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19524,c_105]) ).
tcf(c_19533,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xx)),xm) = sdtpldt0(xm,sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_3264]) ).
tcf(c_19534,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xx)),xl) = sdtpldt0(xl,sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_3263]) ).
tcf(c_19535,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xx)),xk) = sdtpldt0(xk,sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_3262]) ).
tcf(c_19536,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xx)),xz) = sdtpldt0(xz,sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_3261]) ).
tcf(c_19537,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xx)),sz10) = sdtpldt0(sz10,sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_3257]) ).
tcf(c_19538,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xx)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_3256]) ).
tcf(c_19539,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,smndt0(xx)))) = smndt0(sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_2598]) ).
tcf(c_19540,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xx))),sz10) = smndt0(sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_2587]) ).
tcf(c_19541,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,smndt0(xx)))) = smndt0(sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_2576]) ).
tcf(c_19542,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xx))),sz00) = smndt0(sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_2565]) ).
tcf(c_19543,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,smndt0(xx)))) = sz00,
inference(superposition,[status(thm)],[c_19526,c_2644]) ).
tcf(c_19544,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xx))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19526,c_2633]) ).
tcf(c_19545,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,smndt0(xx))),sdtasdt0(X1,sdtpldt0(xl,smndt0(xx)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,smndt0(xx))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19526,c_65]) ).
tcf(c_19546,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,smndt0(xx)),X0),sdtasdt0(sdtpldt0(xl,smndt0(xx)),X1)) = sdtasdt0(sdtpldt0(xl,smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19526,c_64]) ).
tcf(c_19547,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,smndt0(xx)),X0),X1) = sdtasdt0(sdtpldt0(xl,smndt0(xx)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19526,c_61]) ).
tcf(c_19548,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,smndt0(xx)),X0),X1) = sdtpldt0(sdtpldt0(xl,smndt0(xx)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19526,c_55]) ).
tcf(c_19549,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,smndt0(xx)),X0) = sdtasdt0(X0,sdtpldt0(xl,smndt0(xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19526,c_60]) ).
tcf(c_19550,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,smndt0(xx)),X0) = sdtpldt0(X0,sdtpldt0(xl,smndt0(xx))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19526,c_54]) ).
tcf(c_19551,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xx)),smndt0(sz10)) = smndt0(sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_67]) ).
tcf(c_19552,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,smndt0(xx))) = smndt0(sdtpldt0(xl,smndt0(xx))),
inference(superposition,[status(thm)],[c_19526,c_66]) ).
tcf(c_19553,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xx))),sdtpldt0(xl,smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_19526,c_59]) ).
tcf(c_19554,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xx)),smndt0(sdtpldt0(xl,smndt0(xx)))) = sz00,
inference(superposition,[status(thm)],[c_19526,c_58]) ).
tcf(c_19555,plain,
sdtasdt0(sz00,sdtpldt0(xl,smndt0(xx))) = sz00,
inference(superposition,[status(thm)],[c_19526,c_69]) ).
tcf(c_19556,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xx)),sz00) = sz00,
inference(superposition,[status(thm)],[c_19526,c_68]) ).
tcf(c_19557,plain,
sdtasdt0(sz10,sdtpldt0(xl,smndt0(xx))) = sdtpldt0(xl,smndt0(xx)),
inference(superposition,[status(thm)],[c_19526,c_63]) ).
tcf(c_19558,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xx)),sz10) = sdtpldt0(xl,smndt0(xx)),
inference(superposition,[status(thm)],[c_19526,c_62]) ).
tcf(c_19559,plain,
sdtpldt0(sz00,sdtpldt0(xl,smndt0(xx))) = sdtpldt0(xl,smndt0(xx)),
inference(superposition,[status(thm)],[c_19526,c_57]) ).
tcf(c_19560,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xx)),sz00) = sdtpldt0(xl,smndt0(xx)),
inference(superposition,[status(thm)],[c_19526,c_56]) ).
tcf(c_19603,plain,
( aElement0(sdtpldt0(xl,smndt0(xy)))
| ~ aElement0(xl)
| ~ aElement0(smndt0(xy)) ),
inference(superposition,[status(thm)],[c_12082,c_52]) ).
tcf(c_19604,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xy)),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(xy),xJ) ),
inference(superposition,[status(thm)],[c_12082,c_954]) ).
tcf(c_19605,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xy)),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(xy),xI) ),
inference(superposition,[status(thm)],[c_12082,c_930]) ).
tcf(c_19606,plain,
aElement0(sdtpldt0(xl,smndt0(xy))),
inference(forward_subsumption_resolution,[status(thm)],[c_19603,c_2673,c_5604]) ).
tcf(c_19610,plain,
( aElementOf0(sdtpldt0(xl,smndt0(xy)),xJ)
| ~ aElementOf0(smndt0(xy),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19604,c_105]) ).
tcf(c_19615,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xy)),xm) = sdtpldt0(xm,sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_3264]) ).
tcf(c_19616,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xy)),xl) = sdtpldt0(xl,sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_3263]) ).
tcf(c_19617,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xy)),xk) = sdtpldt0(xk,sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_3262]) ).
tcf(c_19618,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xy)),xz) = sdtpldt0(xz,sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_3261]) ).
tcf(c_19619,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xy)),sz10) = sdtpldt0(sz10,sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_3257]) ).
tcf(c_19620,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xy)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_3256]) ).
tcf(c_19621,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,smndt0(xy)))) = smndt0(sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_2598]) ).
tcf(c_19622,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xy))),sz10) = smndt0(sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_2587]) ).
tcf(c_19623,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,smndt0(xy)))) = smndt0(sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_2576]) ).
tcf(c_19624,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xy))),sz00) = smndt0(sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_2565]) ).
tcf(c_19625,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,smndt0(xy)))) = sz00,
inference(superposition,[status(thm)],[c_19606,c_2644]) ).
tcf(c_19626,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(xy))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19606,c_2633]) ).
tcf(c_19627,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,smndt0(xy))),sdtasdt0(X1,sdtpldt0(xl,smndt0(xy)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,smndt0(xy))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19606,c_65]) ).
tcf(c_19628,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,smndt0(xy)),X0),sdtasdt0(sdtpldt0(xl,smndt0(xy)),X1)) = sdtasdt0(sdtpldt0(xl,smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19606,c_64]) ).
tcf(c_19629,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,smndt0(xy)),X0),X1) = sdtasdt0(sdtpldt0(xl,smndt0(xy)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19606,c_61]) ).
tcf(c_19630,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,smndt0(xy)),X0),X1) = sdtpldt0(sdtpldt0(xl,smndt0(xy)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19606,c_55]) ).
tcf(c_19631,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,smndt0(xy)),X0) = sdtasdt0(X0,sdtpldt0(xl,smndt0(xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19606,c_60]) ).
tcf(c_19632,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,smndt0(xy)),X0) = sdtpldt0(X0,sdtpldt0(xl,smndt0(xy))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19606,c_54]) ).
tcf(c_19633,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xy)),smndt0(sz10)) = smndt0(sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_67]) ).
tcf(c_19634,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,smndt0(xy))) = smndt0(sdtpldt0(xl,smndt0(xy))),
inference(superposition,[status(thm)],[c_19606,c_66]) ).
tcf(c_19635,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(xy))),sdtpldt0(xl,smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_19606,c_59]) ).
tcf(c_19636,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xy)),smndt0(sdtpldt0(xl,smndt0(xy)))) = sz00,
inference(superposition,[status(thm)],[c_19606,c_58]) ).
tcf(c_19637,plain,
sdtasdt0(sz00,sdtpldt0(xl,smndt0(xy))) = sz00,
inference(superposition,[status(thm)],[c_19606,c_69]) ).
tcf(c_19638,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xy)),sz00) = sz00,
inference(superposition,[status(thm)],[c_19606,c_68]) ).
tcf(c_19639,plain,
sdtasdt0(sz10,sdtpldt0(xl,smndt0(xy))) = sdtpldt0(xl,smndt0(xy)),
inference(superposition,[status(thm)],[c_19606,c_63]) ).
tcf(c_19640,plain,
sdtasdt0(sdtpldt0(xl,smndt0(xy)),sz10) = sdtpldt0(xl,smndt0(xy)),
inference(superposition,[status(thm)],[c_19606,c_62]) ).
tcf(c_19641,plain,
sdtpldt0(sz00,sdtpldt0(xl,smndt0(xy))) = sdtpldt0(xl,smndt0(xy)),
inference(superposition,[status(thm)],[c_19606,c_57]) ).
tcf(c_19642,plain,
sdtpldt0(sdtpldt0(xl,smndt0(xy)),sz00) = sdtpldt0(xl,smndt0(xy)),
inference(superposition,[status(thm)],[c_19606,c_56]) ).
tcf(c_19793,plain,
( aElement0(sdtpldt0(xl,smndt0(iPr_def_12)))
| ~ aElement0(xl)
| ~ aElement0(smndt0(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12083,c_52]) ).
tcf(c_19794,plain,
( aElementOf0(sdtpldt0(xl,smndt0(iPr_def_12)),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(iPr_def_12),xJ) ),
inference(superposition,[status(thm)],[c_12083,c_954]) ).
tcf(c_19795,plain,
( aElementOf0(sdtpldt0(xl,smndt0(iPr_def_12)),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(iPr_def_12),xI) ),
inference(superposition,[status(thm)],[c_12083,c_930]) ).
tcf(c_19796,plain,
aElement0(sdtpldt0(xl,smndt0(iPr_def_12))),
inference(forward_subsumption_resolution,[status(thm)],[c_19793,c_2673,c_5680]) ).
tcf(c_19800,plain,
( aElementOf0(sdtpldt0(xl,smndt0(iPr_def_12)),xJ)
| ~ aElementOf0(smndt0(iPr_def_12),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19794,c_105]) ).
tcf(c_19803,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),xm) = sdtpldt0(xm,sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_3264]) ).
tcf(c_19804,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),xl) = sdtpldt0(xl,sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_3263]) ).
tcf(c_19805,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),xk) = sdtpldt0(xk,sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_3262]) ).
tcf(c_19806,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),xz) = sdtpldt0(xz,sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_3261]) ).
tcf(c_19807,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),sz10) = sdtpldt0(sz10,sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_3257]) ).
tcf(c_19808,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_3256]) ).
tcf(c_19809,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,smndt0(iPr_def_12)))) = smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_2598]) ).
tcf(c_19810,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),sz10) = smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_2587]) ).
tcf(c_19811,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,smndt0(iPr_def_12)))) = smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_2576]) ).
tcf(c_19812,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),sz00) = smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_2565]) ).
tcf(c_19813,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,smndt0(iPr_def_12)))) = sz00,
inference(superposition,[status(thm)],[c_19796,c_2644]) ).
tcf(c_19814,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19796,c_2633]) ).
tcf(c_19815,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,smndt0(iPr_def_12))),sdtasdt0(X1,sdtpldt0(xl,smndt0(iPr_def_12)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,smndt0(iPr_def_12))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19796,c_65]) ).
tcf(c_19816,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),X0),sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),X1)) = sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19796,c_64]) ).
tcf(c_19817,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),X0),X1) = sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19796,c_61]) ).
tcf(c_19818,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),X0),X1) = sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19796,c_55]) ).
tcf(c_19819,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),X0) = sdtasdt0(X0,sdtpldt0(xl,smndt0(iPr_def_12))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19796,c_60]) ).
tcf(c_19820,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),X0) = sdtpldt0(X0,sdtpldt0(xl,smndt0(iPr_def_12))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19796,c_54]) ).
tcf(c_19821,plain,
sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),smndt0(sz10)) = smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_67]) ).
tcf(c_19822,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,smndt0(iPr_def_12))) = smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),
inference(superposition,[status(thm)],[c_19796,c_66]) ).
tcf(c_19823,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(iPr_def_12))),sdtpldt0(xl,smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_19796,c_59]) ).
tcf(c_19824,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),smndt0(sdtpldt0(xl,smndt0(iPr_def_12)))) = sz00,
inference(superposition,[status(thm)],[c_19796,c_58]) ).
tcf(c_19825,plain,
sdtasdt0(sz00,sdtpldt0(xl,smndt0(iPr_def_12))) = sz00,
inference(superposition,[status(thm)],[c_19796,c_69]) ).
tcf(c_19826,plain,
sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),sz00) = sz00,
inference(superposition,[status(thm)],[c_19796,c_68]) ).
tcf(c_19827,plain,
sdtasdt0(sz10,sdtpldt0(xl,smndt0(iPr_def_12))) = sdtpldt0(xl,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_19796,c_63]) ).
tcf(c_19828,plain,
sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_12)),sz10) = sdtpldt0(xl,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_19796,c_62]) ).
tcf(c_19829,plain,
sdtpldt0(sz00,sdtpldt0(xl,smndt0(iPr_def_12))) = sdtpldt0(xl,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_19796,c_57]) ).
tcf(c_19830,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_12)),sz00) = sdtpldt0(xl,smndt0(iPr_def_12)),
inference(superposition,[status(thm)],[c_19796,c_56]) ).
tcf(c_19882,plain,
( aElement0(sdtpldt0(xl,smndt0(iPr_def_10)))
| ~ aElement0(xl)
| ~ aElement0(smndt0(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_12084,c_52]) ).
tcf(c_19883,plain,
( aElementOf0(sdtpldt0(xl,smndt0(iPr_def_10)),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(smndt0(iPr_def_10),xJ) ),
inference(superposition,[status(thm)],[c_12084,c_954]) ).
tcf(c_19884,plain,
( aElementOf0(sdtpldt0(xl,smndt0(iPr_def_10)),xI)
| ~ aElementOf0(xl,xI)
| ~ aElementOf0(smndt0(iPr_def_10),xI) ),
inference(superposition,[status(thm)],[c_12084,c_930]) ).
tcf(c_19885,plain,
aElement0(sdtpldt0(xl,smndt0(iPr_def_10))),
inference(forward_subsumption_resolution,[status(thm)],[c_19882,c_2673,c_5796]) ).
tcf(c_19889,plain,
( aElementOf0(sdtpldt0(xl,smndt0(iPr_def_10)),xJ)
| ~ aElementOf0(smndt0(iPr_def_10),xJ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19883,c_105]) ).
tcf(c_19892,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),xm) = sdtpldt0(xm,sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_3264]) ).
tcf(c_19893,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),xl) = sdtpldt0(xl,sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_3263]) ).
tcf(c_19894,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),xk) = sdtpldt0(xk,sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_3262]) ).
tcf(c_19895,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),xz) = sdtpldt0(xz,sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_3261]) ).
tcf(c_19896,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),sz10) = sdtpldt0(sz10,sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_3257]) ).
tcf(c_19897,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_3256]) ).
tcf(c_19898,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xl,smndt0(iPr_def_10)))) = smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_2598]) ).
tcf(c_19899,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),sz10) = smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_2587]) ).
tcf(c_19900,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xl,smndt0(iPr_def_10)))) = smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_2576]) ).
tcf(c_19901,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),sz00) = smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_2565]) ).
tcf(c_19902,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xl,smndt0(iPr_def_10)))) = sz00,
inference(superposition,[status(thm)],[c_19885,c_2644]) ).
tcf(c_19903,plain,
sdtasdt0(smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19885,c_2633]) ).
tcf(c_19904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,smndt0(iPr_def_10))),sdtasdt0(X1,sdtpldt0(xl,smndt0(iPr_def_10)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,smndt0(iPr_def_10))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19885,c_65]) ).
tcf(c_19905,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),X0),sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),X1)) = sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19885,c_64]) ).
tcf(c_19906,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),X0),X1) = sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19885,c_61]) ).
tcf(c_19907,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),X0),X1) = sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19885,c_55]) ).
tcf(c_19908,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),X0) = sdtasdt0(X0,sdtpldt0(xl,smndt0(iPr_def_10))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19885,c_60]) ).
tcf(c_19909,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),X0) = sdtpldt0(X0,sdtpldt0(xl,smndt0(iPr_def_10))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_19885,c_54]) ).
tcf(c_19910,plain,
sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),smndt0(sz10)) = smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_67]) ).
tcf(c_19911,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xl,smndt0(iPr_def_10))) = smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),
inference(superposition,[status(thm)],[c_19885,c_66]) ).
tcf(c_19912,plain,
sdtpldt0(smndt0(sdtpldt0(xl,smndt0(iPr_def_10))),sdtpldt0(xl,smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_19885,c_59]) ).
tcf(c_19913,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),smndt0(sdtpldt0(xl,smndt0(iPr_def_10)))) = sz00,
inference(superposition,[status(thm)],[c_19885,c_58]) ).
tcf(c_19914,plain,
sdtasdt0(sz00,sdtpldt0(xl,smndt0(iPr_def_10))) = sz00,
inference(superposition,[status(thm)],[c_19885,c_69]) ).
tcf(c_19915,plain,
sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),sz00) = sz00,
inference(superposition,[status(thm)],[c_19885,c_68]) ).
tcf(c_19916,plain,
sdtasdt0(sz10,sdtpldt0(xl,smndt0(iPr_def_10))) = sdtpldt0(xl,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_19885,c_63]) ).
tcf(c_19917,plain,
sdtasdt0(sdtpldt0(xl,smndt0(iPr_def_10)),sz10) = sdtpldt0(xl,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_19885,c_62]) ).
tcf(c_19918,plain,
sdtpldt0(sz00,sdtpldt0(xl,smndt0(iPr_def_10))) = sdtpldt0(xl,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_19885,c_57]) ).
tcf(c_19919,plain,
sdtpldt0(sdtpldt0(xl,smndt0(iPr_def_10)),sz00) = sdtpldt0(xl,smndt0(iPr_def_10)),
inference(superposition,[status(thm)],[c_19885,c_56]) ).
tcf(c_20047,plain,
( aElement0(sdtpldt0(xm,smndt0(xz)))
| ~ aElement0(xm)
| ~ aElement0(smndt0(xz)) ),
inference(superposition,[status(thm)],[c_12289,c_52]) ).
tcf(c_20048,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xz)),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(smndt0(xz),xJ) ),
inference(superposition,[status(thm)],[c_12289,c_954]) ).
tcf(c_20049,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xz)),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(smndt0(xz),xI) ),
inference(superposition,[status(thm)],[c_12289,c_930]) ).
tcf(c_20050,plain,
aElement0(sdtpldt0(xm,smndt0(xz))),
inference(forward_subsumption_resolution,[status(thm)],[c_20047,c_2672,c_5066]) ).
tcf(c_20051,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xz)),xI)
| ~ aElementOf0(smndt0(xz),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20049,c_107]) ).
tcf(c_20057,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xz)),xm) = sdtpldt0(xm,sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_3264]) ).
tcf(c_20058,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xz)),xl) = sdtpldt0(xl,sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_3263]) ).
tcf(c_20059,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xz)),xk) = sdtpldt0(xk,sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_3262]) ).
tcf(c_20060,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xz)),xz) = sdtpldt0(xz,sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_3261]) ).
tcf(c_20061,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xz)),sz10) = sdtpldt0(sz10,sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_3257]) ).
tcf(c_20062,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xz)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_3256]) ).
tcf(c_20063,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xm,smndt0(xz)))) = smndt0(sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_2598]) ).
tcf(c_20064,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xz))),sz10) = smndt0(sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_2587]) ).
tcf(c_20065,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xz)))) = smndt0(sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_2576]) ).
tcf(c_20066,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xz))),sz00) = smndt0(sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_2565]) ).
tcf(c_20067,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xz)))) = sz00,
inference(superposition,[status(thm)],[c_20050,c_2644]) ).
tcf(c_20068,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xz))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20050,c_2633]) ).
tcf(c_20069,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,smndt0(xz))),sdtasdt0(X1,sdtpldt0(xm,smndt0(xz)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,smndt0(xz))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20050,c_65]) ).
tcf(c_20070,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xz)),X0),sdtasdt0(sdtpldt0(xm,smndt0(xz)),X1)) = sdtasdt0(sdtpldt0(xm,smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20050,c_64]) ).
tcf(c_20071,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,smndt0(xz)),X0),X1) = sdtasdt0(sdtpldt0(xm,smndt0(xz)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20050,c_61]) ).
tcf(c_20072,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,smndt0(xz)),X0),X1) = sdtpldt0(sdtpldt0(xm,smndt0(xz)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20050,c_55]) ).
tcf(c_20073,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,smndt0(xz)),X0) = sdtasdt0(X0,sdtpldt0(xm,smndt0(xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20050,c_60]) ).
tcf(c_20074,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,smndt0(xz)),X0) = sdtpldt0(X0,sdtpldt0(xm,smndt0(xz))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20050,c_54]) ).
tcf(c_20075,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xz)),smndt0(sz10)) = smndt0(sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_67]) ).
tcf(c_20076,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xm,smndt0(xz))) = smndt0(sdtpldt0(xm,smndt0(xz))),
inference(superposition,[status(thm)],[c_20050,c_66]) ).
tcf(c_20077,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xz))),sdtpldt0(xm,smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_20050,c_59]) ).
tcf(c_20078,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xz)),smndt0(sdtpldt0(xm,smndt0(xz)))) = sz00,
inference(superposition,[status(thm)],[c_20050,c_58]) ).
tcf(c_20079,plain,
sdtasdt0(sz00,sdtpldt0(xm,smndt0(xz))) = sz00,
inference(superposition,[status(thm)],[c_20050,c_69]) ).
tcf(c_20080,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xz)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20050,c_68]) ).
tcf(c_20081,plain,
sdtasdt0(sz10,sdtpldt0(xm,smndt0(xz))) = sdtpldt0(xm,smndt0(xz)),
inference(superposition,[status(thm)],[c_20050,c_63]) ).
tcf(c_20082,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xz)),sz10) = sdtpldt0(xm,smndt0(xz)),
inference(superposition,[status(thm)],[c_20050,c_62]) ).
tcf(c_20083,plain,
sdtpldt0(sz00,sdtpldt0(xm,smndt0(xz))) = sdtpldt0(xm,smndt0(xz)),
inference(superposition,[status(thm)],[c_20050,c_57]) ).
tcf(c_20084,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xz)),sz00) = sdtpldt0(xm,smndt0(xz)),
inference(superposition,[status(thm)],[c_20050,c_56]) ).
tcf(c_20157,plain,
( aElement0(sdtpldt0(xm,smndt0(xk)))
| ~ aElement0(xm)
| ~ aElement0(smndt0(xk)) ),
inference(superposition,[status(thm)],[c_12290,c_52]) ).
tcf(c_20158,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xk)),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(smndt0(xk),xJ) ),
inference(superposition,[status(thm)],[c_12290,c_954]) ).
tcf(c_20159,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xk)),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(smndt0(xk),xI) ),
inference(superposition,[status(thm)],[c_12290,c_930]) ).
tcf(c_20160,plain,
aElement0(sdtpldt0(xm,smndt0(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_20157,c_2672,c_5206]) ).
tcf(c_20161,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xk)),xI)
| ~ aElementOf0(smndt0(xk),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20159,c_107]) ).
tcf(c_20176,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xk)),xm) = sdtpldt0(xm,sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_3264]) ).
tcf(c_20177,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xk)),xl) = sdtpldt0(xl,sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_3263]) ).
tcf(c_20178,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xk)),xk) = sdtpldt0(xk,sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_3262]) ).
tcf(c_20179,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xk)),xz) = sdtpldt0(xz,sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_3261]) ).
tcf(c_20180,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xk)),sz10) = sdtpldt0(sz10,sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_3257]) ).
tcf(c_20181,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xk)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_3256]) ).
tcf(c_20182,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xm,smndt0(xk)))) = smndt0(sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_2598]) ).
tcf(c_20183,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xk))),sz10) = smndt0(sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_2587]) ).
tcf(c_20184,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xk)))) = smndt0(sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_2576]) ).
tcf(c_20185,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xk))),sz00) = smndt0(sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_2565]) ).
tcf(c_20186,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xk)))) = sz00,
inference(superposition,[status(thm)],[c_20160,c_2644]) ).
tcf(c_20187,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xk))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20160,c_2633]) ).
tcf(c_20188,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,smndt0(xk))),sdtasdt0(X1,sdtpldt0(xm,smndt0(xk)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,smndt0(xk))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20160,c_65]) ).
tcf(c_20189,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xk)),X0),sdtasdt0(sdtpldt0(xm,smndt0(xk)),X1)) = sdtasdt0(sdtpldt0(xm,smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20160,c_64]) ).
tcf(c_20190,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,smndt0(xk)),X0),X1) = sdtasdt0(sdtpldt0(xm,smndt0(xk)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20160,c_61]) ).
tcf(c_20191,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,smndt0(xk)),X0),X1) = sdtpldt0(sdtpldt0(xm,smndt0(xk)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20160,c_55]) ).
tcf(c_20192,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,smndt0(xk)),X0) = sdtasdt0(X0,sdtpldt0(xm,smndt0(xk))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20160,c_60]) ).
tcf(c_20193,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,smndt0(xk)),X0) = sdtpldt0(X0,sdtpldt0(xm,smndt0(xk))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20160,c_54]) ).
tcf(c_20194,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xk)),smndt0(sz10)) = smndt0(sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_67]) ).
tcf(c_20195,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xm,smndt0(xk))) = smndt0(sdtpldt0(xm,smndt0(xk))),
inference(superposition,[status(thm)],[c_20160,c_66]) ).
tcf(c_20196,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xk))),sdtpldt0(xm,smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_20160,c_59]) ).
tcf(c_20197,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xk)),smndt0(sdtpldt0(xm,smndt0(xk)))) = sz00,
inference(superposition,[status(thm)],[c_20160,c_58]) ).
tcf(c_20198,plain,
sdtasdt0(sz00,sdtpldt0(xm,smndt0(xk))) = sz00,
inference(superposition,[status(thm)],[c_20160,c_69]) ).
tcf(c_20199,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20160,c_68]) ).
tcf(c_20200,plain,
sdtasdt0(sz10,sdtpldt0(xm,smndt0(xk))) = sdtpldt0(xm,smndt0(xk)),
inference(superposition,[status(thm)],[c_20160,c_63]) ).
tcf(c_20201,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xk)),sz10) = sdtpldt0(xm,smndt0(xk)),
inference(superposition,[status(thm)],[c_20160,c_62]) ).
tcf(c_20202,plain,
sdtpldt0(sz00,sdtpldt0(xm,smndt0(xk))) = sdtpldt0(xm,smndt0(xk)),
inference(superposition,[status(thm)],[c_20160,c_57]) ).
tcf(c_20203,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xk)),sz00) = sdtpldt0(xm,smndt0(xk)),
inference(superposition,[status(thm)],[c_20160,c_56]) ).
tcf(c_20323,plain,
( aElement0(sdtpldt0(xm,smndt0(xl)))
| ~ aElement0(xm)
| ~ aElement0(smndt0(xl)) ),
inference(superposition,[status(thm)],[c_12291,c_52]) ).
tcf(c_20324,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xl)),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(smndt0(xl),xJ) ),
inference(superposition,[status(thm)],[c_12291,c_954]) ).
tcf(c_20325,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xl)),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(smndt0(xl),xI) ),
inference(superposition,[status(thm)],[c_12291,c_930]) ).
tcf(c_20326,plain,
aElement0(sdtpldt0(xm,smndt0(xl))),
inference(forward_subsumption_resolution,[status(thm)],[c_20323,c_2672,c_5270]) ).
tcf(c_20327,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xl)),xI)
| ~ aElementOf0(smndt0(xl),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20325,c_107]) ).
tcf(c_20333,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xl)),xm) = sdtpldt0(xm,sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_3264]) ).
tcf(c_20334,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xl)),xl) = sdtpldt0(xl,sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_3263]) ).
tcf(c_20335,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xl)),xk) = sdtpldt0(xk,sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_3262]) ).
tcf(c_20336,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xl)),xz) = sdtpldt0(xz,sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_3261]) ).
tcf(c_20337,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xl)),sz10) = sdtpldt0(sz10,sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_3257]) ).
tcf(c_20338,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_3256]) ).
tcf(c_20339,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xm,smndt0(xl)))) = smndt0(sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_2598]) ).
tcf(c_20340,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xl))),sz10) = smndt0(sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_2587]) ).
tcf(c_20341,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xl)))) = smndt0(sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_2576]) ).
tcf(c_20342,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xl))),sz00) = smndt0(sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_2565]) ).
tcf(c_20343,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xl)))) = sz00,
inference(superposition,[status(thm)],[c_20326,c_2644]) ).
tcf(c_20344,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20326,c_2633]) ).
tcf(c_20345,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,smndt0(xl))),sdtasdt0(X1,sdtpldt0(xm,smndt0(xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,smndt0(xl))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20326,c_65]) ).
tcf(c_20346,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xl)),X0),sdtasdt0(sdtpldt0(xm,smndt0(xl)),X1)) = sdtasdt0(sdtpldt0(xm,smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20326,c_64]) ).
tcf(c_20347,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,smndt0(xl)),X0),X1) = sdtasdt0(sdtpldt0(xm,smndt0(xl)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20326,c_61]) ).
tcf(c_20348,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,smndt0(xl)),X0),X1) = sdtpldt0(sdtpldt0(xm,smndt0(xl)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20326,c_55]) ).
tcf(c_20349,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,smndt0(xl)),X0) = sdtasdt0(X0,sdtpldt0(xm,smndt0(xl))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20326,c_60]) ).
tcf(c_20350,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,smndt0(xl)),X0) = sdtpldt0(X0,sdtpldt0(xm,smndt0(xl))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20326,c_54]) ).
tcf(c_20351,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xl)),smndt0(sz10)) = smndt0(sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_67]) ).
tcf(c_20352,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xm,smndt0(xl))) = smndt0(sdtpldt0(xm,smndt0(xl))),
inference(superposition,[status(thm)],[c_20326,c_66]) ).
tcf(c_20353,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xl))),sdtpldt0(xm,smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_20326,c_59]) ).
tcf(c_20354,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xl)),smndt0(sdtpldt0(xm,smndt0(xl)))) = sz00,
inference(superposition,[status(thm)],[c_20326,c_58]) ).
tcf(c_20355,plain,
sdtasdt0(sz00,sdtpldt0(xm,smndt0(xl))) = sz00,
inference(superposition,[status(thm)],[c_20326,c_69]) ).
tcf(c_20356,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20326,c_68]) ).
tcf(c_20357,plain,
sdtasdt0(sz10,sdtpldt0(xm,smndt0(xl))) = sdtpldt0(xm,smndt0(xl)),
inference(superposition,[status(thm)],[c_20326,c_63]) ).
tcf(c_20358,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xl)),sz10) = sdtpldt0(xm,smndt0(xl)),
inference(superposition,[status(thm)],[c_20326,c_62]) ).
tcf(c_20359,plain,
sdtpldt0(sz00,sdtpldt0(xm,smndt0(xl))) = sdtpldt0(xm,smndt0(xl)),
inference(superposition,[status(thm)],[c_20326,c_57]) ).
tcf(c_20360,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xl)),sz00) = sdtpldt0(xm,smndt0(xl)),
inference(superposition,[status(thm)],[c_20326,c_56]) ).
tcf(c_20413,plain,
( aElement0(sdtpldt0(xm,smndt0(xn)))
| ~ aElement0(xm)
| ~ aElement0(smndt0(xn)) ),
inference(superposition,[status(thm)],[c_12293,c_52]) ).
tcf(c_20414,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xn)),xJ)
| ~ aElementOf0(xm,xJ)
| ~ aElementOf0(smndt0(xn),xJ) ),
inference(superposition,[status(thm)],[c_12293,c_954]) ).
tcf(c_20415,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xn)),xI)
| ~ aElementOf0(xm,xI)
| ~ aElementOf0(smndt0(xn),xI) ),
inference(superposition,[status(thm)],[c_12293,c_930]) ).
tcf(c_20416,plain,
aElement0(sdtpldt0(xm,smndt0(xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_20413,c_2672,c_5445]) ).
tcf(c_20417,plain,
( aElementOf0(sdtpldt0(xm,smndt0(xn)),xI)
| ~ aElementOf0(smndt0(xn),xI) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20415,c_107]) ).
tcf(c_20423,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_3264]) ).
tcf(c_20424,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_3263]) ).
tcf(c_20425,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xn)),xk) = sdtpldt0(xk,sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_3262]) ).
tcf(c_20426,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xn)),xz) = sdtpldt0(xz,sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_3261]) ).
tcf(c_20427,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xn)),sz10) = sdtpldt0(sz10,sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_3257]) ).
tcf(c_20428,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_3256]) ).
tcf(c_20429,plain,
sdtasdt0(sz10,smndt0(sdtpldt0(xm,smndt0(xn)))) = smndt0(sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_2598]) ).
tcf(c_20430,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xn))),sz10) = smndt0(sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_2587]) ).
tcf(c_20431,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,smndt0(xn)))) = smndt0(sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_2576]) ).
tcf(c_20432,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xn))),sz00) = smndt0(sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_2565]) ).
tcf(c_20433,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_20416,c_2644]) ).
tcf(c_20434,plain,
sdtasdt0(smndt0(sdtpldt0(xm,smndt0(xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20416,c_2633]) ).
tcf(c_20435,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,smndt0(xn))),sdtasdt0(X1,sdtpldt0(xm,smndt0(xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,smndt0(xn))) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20416,c_65]) ).
tcf(c_20436,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,smndt0(xn)),X0),sdtasdt0(sdtpldt0(xm,smndt0(xn)),X1)) = sdtasdt0(sdtpldt0(xm,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20416,c_64]) ).
tcf(c_20437,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,smndt0(xn)),X0),X1) = sdtasdt0(sdtpldt0(xm,smndt0(xn)),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20416,c_61]) ).
tcf(c_20438,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,smndt0(xn)),X0),X1) = sdtpldt0(sdtpldt0(xm,smndt0(xn)),sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20416,c_55]) ).
tcf(c_20439,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,smndt0(xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20416,c_60]) ).
tcf(c_20440,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,smndt0(xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,smndt0(xn))) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20416,c_54]) ).
tcf(c_20441,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xn)),smndt0(sz10)) = smndt0(sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_67]) ).
tcf(c_20442,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xm,smndt0(xn))) = smndt0(sdtpldt0(xm,smndt0(xn))),
inference(superposition,[status(thm)],[c_20416,c_66]) ).
tcf(c_20443,plain,
sdtpldt0(smndt0(sdtpldt0(xm,smndt0(xn))),sdtpldt0(xm,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_20416,c_59]) ).
tcf(c_20444,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xn)),smndt0(sdtpldt0(xm,smndt0(xn)))) = sz00,
inference(superposition,[status(thm)],[c_20416,c_58]) ).
tcf(c_20445,plain,
sdtasdt0(sz00,sdtpldt0(xm,smndt0(xn))) = sz00,
inference(superposition,[status(thm)],[c_20416,c_69]) ).
tcf(c_20446,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20416,c_68]) ).
tcf(c_20447,plain,
sdtasdt0(sz10,sdtpldt0(xm,smndt0(xn))) = sdtpldt0(xm,smndt0(xn)),
inference(superposition,[status(thm)],[c_20416,c_63]) ).
tcf(c_20448,plain,
sdtasdt0(sdtpldt0(xm,smndt0(xn)),sz10) = sdtpldt0(xm,smndt0(xn)),
inference(superposition,[status(thm)],[c_20416,c_62]) ).
tcf(c_20449,plain,
sdtpldt0(sz00,sdtpldt0(xm,smndt0(xn))) = sdtpldt0(xm,smndt0(xn)),
inference(superposition,[status(thm)],[c_20416,c_57]) ).
tcf(c_20450,plain,
sdtpldt0(sdtpldt0(xm,smndt0(xn)),sz00) = sdtpldt0(xm,smndt0(xn)),
inference(superposition,[status(thm)],[c_20416,c_56]) ).
fof(f71,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(f72,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(f73,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(definition_folding,[],[f66,f72,f71]) ).
fof(f77,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,[],[f71]) ).
fof(f78,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,[],[f77]) ).
fof(f79,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,[],[f78]) ).
fof(f80,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))],[f79]) ).
fof(f115,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,[],[f80]) ).
fof(f116,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X8,X0)
| aElementOf0(sK8(X1,X2,X8),X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f117,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X8,X0)
| aElementOf0(sK7(X1,X2,X8),X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f118,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,[],[f80]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f120,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,[],[f80]) ).
fof(f121,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,[],[f80]) ).
fof(f122,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,[],[f80]) ).
fof(f123,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,[],[f80]) ).
fof(f154,plain,
! [X2,X10,X0,X1,X9] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X10,X2)
| ~ aElementOf0(X9,X1)
| aElementOf0(sdtpldt0(X9,X10),X0) ),
inference(equality_resolution,[],[f118]) ).
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,[],[f123]) ).
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,[],[f122]) ).
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,[],[f121]) ).
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,[],[f120]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSet0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f119]) ).
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,[],[f154]) ).
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,[],[f117]) ).
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,[],[f116]) ).
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,[],[f115]) ).
tcf(c_3598,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_3599,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_3600,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_3601,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_3602,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_3603,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_3677,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_3678,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_3679,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_3680,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_3681,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_3682,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_4938,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_4939,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_4940,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_4971,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(xl,xn),X2)
| ~ aElementOf0(sdtpldt0(xk,xm),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_3180,c_79]) ).
tcf(c_4972,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(xz,xl),X2)
| ~ aElementOf0(sdtasdt0(xz,xk),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_3191,c_79]) ).
tcf(c_6011,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xz),X2)
| ~ aElementOf0(smndt0(smndt0(xz)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5075,c_79]) ).
tcf(c_6028,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xz),X1)
| ~ aElementOf0(smndt0(smndt0(xz)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5076,c_79]) ).
tcf(c_6038,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xk),X2)
| ~ aElementOf0(smndt0(smndt0(xk)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5215,c_79]) ).
tcf(c_6052,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xk),X1)
| ~ aElementOf0(smndt0(smndt0(xk)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5216,c_79]) ).
tcf(c_6062,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xl),X2)
| ~ aElementOf0(smndt0(smndt0(xl)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5279,c_79]) ).
tcf(c_6076,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xl),X1)
| ~ aElementOf0(smndt0(smndt0(xl)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5280,c_79]) ).
tcf(c_6086,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xm),X2)
| ~ aElementOf0(smndt0(smndt0(xm)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5365,c_79]) ).
tcf(c_6100,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xm),X1)
| ~ aElementOf0(smndt0(smndt0(xm)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5366,c_79]) ).
tcf(c_6110,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xn),X2)
| ~ aElementOf0(smndt0(smndt0(xn)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5454,c_79]) ).
tcf(c_6124,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xn),X1)
| ~ aElementOf0(smndt0(smndt0(xn)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5455,c_79]) ).
tcf(c_6134,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xx),X2)
| ~ aElementOf0(smndt0(smndt0(xx)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5537,c_79]) ).
tcf(c_6151,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xx),X1)
| ~ aElementOf0(smndt0(smndt0(xx)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5538,c_79]) ).
tcf(c_6161,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xy),X2)
| ~ aElementOf0(smndt0(smndt0(xy)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5613,c_79]) ).
tcf(c_6184,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(xy),X1)
| ~ aElementOf0(smndt0(smndt0(xy)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5614,c_79]) ).
tcf(c_6194,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(iPr_def_12),X2)
| ~ aElementOf0(smndt0(smndt0(iPr_def_12)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5689,c_79]) ).
tcf(c_6211,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(iPr_def_12),X1)
| ~ aElementOf0(smndt0(smndt0(iPr_def_12)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5690,c_79]) ).
tcf(c_6252,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(iPr_def_10),X2)
| ~ aElementOf0(smndt0(smndt0(iPr_def_10)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5811,c_79]) ).
tcf(c_6269,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(smndt0(iPr_def_10),X1)
| ~ aElementOf0(smndt0(smndt0(iPr_def_10)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_5812,c_79]) ).
tcf(c_6430,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtasdt0(xz,xl),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtasdt0(xz,xl) ) ),
inference(superposition,[status(thm)],[c_2778,c_79]) ).
tcf(c_6441,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtasdt0(xz,xl),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtasdt0(xz,xl) ) ),
inference(superposition,[status(thm)],[c_2779,c_79]) ).
tcf(c_6485,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtasdt0(xz,xk),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtasdt0(xz,xk) ) ),
inference(superposition,[status(thm)],[c_2792,c_79]) ).
tcf(c_6496,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtasdt0(xz,xk),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtasdt0(xz,xk) ) ),
inference(superposition,[status(thm)],[c_2793,c_79]) ).
tcf(c_6514,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xl,xn),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2806,c_79]) ).
tcf(c_6525,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xl,xn),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2807,c_79]) ).
tcf(c_6539,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xk,xm),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xk,xm) ) ),
inference(superposition,[status(thm)],[c_2820,c_79]) ).
tcf(c_6550,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xk,xm),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xk,xm) ) ),
inference(superposition,[status(thm)],[c_2821,c_79]) ).
tcf(c_7785,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(xz)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xz)) ) ),
inference(superposition,[status(thm)],[c_7682,c_79]) ).
tcf(c_7796,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(xk)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xk)) ) ),
inference(superposition,[status(thm)],[c_7683,c_79]) ).
tcf(c_7807,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(xl)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xl)) ) ),
inference(superposition,[status(thm)],[c_7684,c_79]) ).
tcf(c_8190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(xm)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xm)) ) ),
inference(superposition,[status(thm)],[c_7685,c_79]) ).
tcf(c_8201,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(xn)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xn)) ) ),
inference(superposition,[status(thm)],[c_7686,c_79]) ).
tcf(c_8212,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(xx)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xx)) ) ),
inference(superposition,[status(thm)],[c_7687,c_79]) ).
tcf(c_8223,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(xy)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xy)) ) ),
inference(superposition,[status(thm)],[c_7688,c_79]) ).
tcf(c_8234,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(iPr_def_12)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_7689,c_79]) ).
tcf(c_8245,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(smndt0(smndt0(iPr_def_10)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_7690,c_79]) ).
tcf(c_8256,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(xz)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xz)) ) ),
inference(superposition,[status(thm)],[c_7843,c_79]) ).
tcf(c_8266,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(xk)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xk)) ) ),
inference(superposition,[status(thm)],[c_7844,c_79]) ).
tcf(c_8276,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(xl)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xl)) ) ),
inference(superposition,[status(thm)],[c_7845,c_79]) ).
tcf(c_8286,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(xm)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xm)) ) ),
inference(superposition,[status(thm)],[c_7846,c_79]) ).
tcf(c_8296,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(xn)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xn)) ) ),
inference(superposition,[status(thm)],[c_7847,c_79]) ).
tcf(c_8306,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(xx)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xx)) ) ),
inference(superposition,[status(thm)],[c_7848,c_79]) ).
tcf(c_8358,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(xk,xm),X1)
| ~ aElementOf0(smndt0(sdtpldt0(xk,xm)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_2939,c_79]) ).
tcf(c_8375,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(xl,xn),X1)
| ~ aElementOf0(smndt0(sdtpldt0(xl,xn)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_2940,c_79]) ).
tcf(c_8392,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(xz,xk),X1)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xk)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_2941,c_79]) ).
tcf(c_8409,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(xz,xl),X1)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xl)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_2942,c_79]) ).
tcf(c_8426,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(xy)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(xy)) ) ),
inference(superposition,[status(thm)],[c_7849,c_79]) ).
tcf(c_8436,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(iPr_def_12)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_7850,c_79]) ).
tcf(c_8446,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(smndt0(smndt0(iPr_def_10)),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != smndt0(smndt0(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_7851,c_79]) ).
tcf(c_8509,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(xk,xm),X2)
| ~ aElementOf0(smndt0(sdtpldt0(xk,xm)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_2990,c_79]) ).
tcf(c_8519,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(xl,xn),X2)
| ~ aElementOf0(smndt0(sdtpldt0(xl,xn)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_2991,c_79]) ).
tcf(c_8529,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(xz,xk),X2)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xk)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_2992,c_79]) ).
tcf(c_8539,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(xz,xl),X2)
| ~ aElementOf0(smndt0(sdtasdt0(xz,xl)),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sz00 ) ),
inference(superposition,[status(thm)],[c_2993,c_79]) ).
tcf(c_9892,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xz,sz10),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,sz10) ) ),
inference(superposition,[status(thm)],[c_8835,c_79]) ).
tcf(c_9903,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xz,sz10),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,sz10) ) ),
inference(superposition,[status(thm)],[c_8836,c_79]) ).
tcf(c_9950,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(sz10,xk),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xk) ) ),
inference(superposition,[status(thm)],[c_8943,c_79]) ).
tcf(c_9967,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(sz10,xk),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xk) ) ),
inference(superposition,[status(thm)],[c_8944,c_79]) ).
tcf(c_10560,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(sz10,xl),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xl) ) ),
inference(superposition,[status(thm)],[c_9018,c_79]) ).
tcf(c_10936,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(sz10,xl),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xl) ) ),
inference(superposition,[status(thm)],[c_9019,c_79]) ).
tcf(c_10950,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(sz10,xm),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_9115,c_79]) ).
tcf(c_11355,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(sz10,xm),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_9116,c_79]) ).
tcf(c_11369,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(sz10,xn),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_9316,c_79]) ).
tcf(c_11380,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(sz10,xn),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_9317,c_79]) ).
tcf(c_11394,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(sz10,xx),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xx) ) ),
inference(superposition,[status(thm)],[c_9371,c_79]) ).
tcf(c_11405,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(sz10,xx),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xx) ) ),
inference(superposition,[status(thm)],[c_9372,c_79]) ).
tcf(c_11419,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(sz10,xy),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xy) ) ),
inference(superposition,[status(thm)],[c_9484,c_79]) ).
tcf(c_11430,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(sz10,xy),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(sz10,xy) ) ),
inference(superposition,[status(thm)],[c_9485,c_79]) ).
tcf(c_11444,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(iPr_def_10,sz10),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_10,sz10) ) ),
inference(superposition,[status(thm)],[c_9618,c_79]) ).
tcf(c_11461,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(iPr_def_10,sz10),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_10,sz10) ) ),
inference(superposition,[status(thm)],[c_9619,c_79]) ).
tcf(c_11475,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(iPr_def_12,sz10),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_12,sz10) ) ),
inference(superposition,[status(thm)],[c_9727,c_79]) ).
tcf(c_11486,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(iPr_def_12,sz10),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_12,sz10) ) ),
inference(superposition,[status(thm)],[c_9728,c_79]) ).
tcf(c_15469,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xz,xk),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xk) ) ),
inference(superposition,[status(thm)],[c_12537,c_79]) ).
tcf(c_15480,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xz,xk),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xk) ) ),
inference(superposition,[status(thm)],[c_12538,c_79]) ).
tcf(c_15536,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xz,xl),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xl) ) ),
inference(superposition,[status(thm)],[c_12682,c_79]) ).
tcf(c_15547,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xz,xl),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xl) ) ),
inference(superposition,[status(thm)],[c_12683,c_79]) ).
tcf(c_15597,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xz,xm),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xm) ) ),
inference(superposition,[status(thm)],[c_12826,c_79]) ).
tcf(c_15608,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xz,xm),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xm) ) ),
inference(superposition,[status(thm)],[c_12827,c_79]) ).
tcf(c_15664,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xz,xn),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xn) ) ),
inference(superposition,[status(thm)],[c_12954,c_79]) ).
tcf(c_15675,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xz,xn),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xn) ) ),
inference(superposition,[status(thm)],[c_12955,c_79]) ).
tcf(c_15734,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xz,xx),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xx) ) ),
inference(superposition,[status(thm)],[c_13104,c_79]) ).
tcf(c_15745,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xz,xx),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xx) ) ),
inference(superposition,[status(thm)],[c_13105,c_79]) ).
tcf(c_15795,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xz,xy),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xy) ) ),
inference(superposition,[status(thm)],[c_13287,c_79]) ).
tcf(c_15806,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xz,xy),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xz,xy) ) ),
inference(superposition,[status(thm)],[c_13288,c_79]) ).
tcf(c_17005,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(iPr_def_10,xz),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_10,xz) ) ),
inference(superposition,[status(thm)],[c_13392,c_79]) ).
tcf(c_17016,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(iPr_def_10,xz),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_10,xz) ) ),
inference(superposition,[status(thm)],[c_13393,c_79]) ).
tcf(c_17466,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(iPr_def_12,xz),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_12,xz) ) ),
inference(superposition,[status(thm)],[c_13580,c_79]) ).
tcf(c_17477,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(iPr_def_12,xz),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_12,xz) ) ),
inference(superposition,[status(thm)],[c_13581,c_79]) ).
tcf(c_17855,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xk,xn),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xk,xn) ) ),
inference(superposition,[status(thm)],[c_13691,c_79]) ).
tcf(c_17866,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xk,xn),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xk,xn) ) ),
inference(superposition,[status(thm)],[c_13692,c_79]) ).
tcf(c_18404,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xx,xk),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xx,xk) ) ),
inference(superposition,[status(thm)],[c_13823,c_79]) ).
tcf(c_18415,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xx,xk),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xx,xk) ) ),
inference(superposition,[status(thm)],[c_13824,c_79]) ).
tcf(c_18893,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xk,xy),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xk,xy) ) ),
inference(superposition,[status(thm)],[c_13969,c_79]) ).
tcf(c_18904,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xk,xy),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xk,xy) ) ),
inference(superposition,[status(thm)],[c_13970,c_79]) ).
tcf(c_19358,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(iPr_def_10,xk),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_10,xk) ) ),
inference(superposition,[status(thm)],[c_14070,c_79]) ).
tcf(c_19369,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(iPr_def_10,xk),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_10,xk) ) ),
inference(superposition,[status(thm)],[c_14071,c_79]) ).
tcf(c_19773,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(iPr_def_12,xk),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_12,xk) ) ),
inference(superposition,[status(thm)],[c_14213,c_79]) ).
tcf(c_19784,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(iPr_def_12,xk),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(iPr_def_12,xk) ) ),
inference(superposition,[status(thm)],[c_14214,c_79]) ).
tcf(c_20137,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X1)
| ~ aElementOf0(sdtpldt0(xl,xm),X2)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14308,c_79]) ).
tcf(c_20148,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sz00,X2)
| ~ aElementOf0(sdtpldt0(xl,xm),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ( sK4(X0,X1,X2) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_14309,c_79]) ).
tcf(c_20501,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_20450,c_20449,c_20448,c_20447,c_20446,c_20445,c_20444,c_20443,c_20442,c_20441,c_20440,c_20439,c_20438,c_20437,c_20436,c_20435,c_20434,c_20433,c_20432,c_20431,c_20430,c_20429,c_20428,c_20427,c_20426,c_20425,c_20424,c_20423,c_20417,c_20416,c_20415,c_20414,c_20413,c_20360,c_20359,c_20358,c_20357,c_20356,c_20355,c_20354,c_20353,c_20352,c_20351,c_20350,c_20349,c_20348,c_20347,c_20346,c_20345,c_20344,c_20343,c_20342,c_20341,c_20340,c_20339,c_20338,c_20337,c_20336,c_20335,c_20334,c_20333,c_20327,c_20326,c_20325,c_20324,c_20323,c_20203,c_20202,c_20201,c_20200,c_20199,c_20198,c_20197,c_20196,c_20195,c_20194,c_20193,c_20192,c_20191,c_20190,c_20189,c_20188,c_20187,c_20186,c_20185,c_20184,c_20183,c_20182,c_20181,c_20180,c_20179,c_20178,c_20177,c_20176,c_20161,c_20160,c_20159,c_20158,c_20157,c_20148,c_20137,c_20084,c_20083,c_20082,c_20081,c_20080,c_20079,c_20078,c_20077,c_20076,c_20075,c_20074,c_20073,c_20072,c_20071,c_20070,c_20069,c_20068,c_20067,c_20066,c_20065,c_20064,c_20063,c_20062,c_20061,c_20060,c_20059,c_20058,c_20057,c_20051,c_20050,c_20049,c_20048,c_20047,c_19919,c_19918,c_19917,c_19916,c_19915,c_19914,c_19913,c_19912,c_19911,c_19910,c_19909,c_19908,c_19907,c_19906,c_19905,c_19904,c_19903,c_19902,c_19901,c_19900,c_19899,c_19898,c_19897,c_19896,c_19895,c_19894,c_19893,c_19892,c_19889,c_19885,c_19884,c_19883,c_19882,c_19830,c_19829,c_19828,c_19827,c_19826,c_19825,c_19824,c_19823,c_19822,c_19821,c_19820,c_19819,c_19818,c_19817,c_19816,c_19815,c_19814,c_19813,c_19812,c_19811,c_19810,c_19809,c_19808,c_19807,c_19806,c_19805,c_19804,c_19803,c_19800,c_19796,c_19795,c_19794,c_19793,c_19784,c_19773,c_19642,c_19641,c_19640,c_19639,c_19638,c_19637,c_19636,c_19635,c_19634,c_19633,c_19632,c_19631,c_19630,c_19629,c_19628,c_19627,c_19626,c_19625,c_19624,c_19623,c_19622,c_19621,c_19620,c_19619,c_19618,c_19617,c_19616,c_19615,c_19610,c_19606,c_19605,c_19604,c_19603,c_19560,c_19559,c_19558,c_19557,c_19556,c_19555,c_19554,c_19553,c_19552,c_19551,c_19550,c_19549,c_19548,c_19547,c_19546,c_19545,c_19544,c_19543,c_19542,c_19541,c_19540,c_19539,c_19538,c_19537,c_19536,c_19535,c_19534,c_19533,c_19530,c_19526,c_19525,c_19524,c_19523,c_19415,c_19414,c_19413,c_19412,c_19411,c_19410,c_19409,c_19408,c_19407,c_19406,c_19405,c_19404,c_19403,c_19402,c_19401,c_19400,c_19399,c_19398,c_19397,c_19396,c_19395,c_19394,c_19393,c_19392,c_19391,c_19390,c_19389,c_19388,c_19385,c_19381,c_19380,c_19379,c_19378,c_19369,c_19358,c_19204,c_19203,c_19202,c_19201,c_19200,c_19199,c_19198,c_19197,c_19196,c_19195,c_19194,c_19193,c_19192,c_19191,c_19190,c_19189,c_19188,c_19187,c_19186,c_19185,c_19184,c_19183,c_19182,c_19181,c_19180,c_19179,c_19178,c_19177,c_19174,c_19170,c_19169,c_19168,c_19167,c_19089,c_19088,c_19087,c_19086,c_19085,c_19084,c_19083,c_19082,c_19081,c_19080,c_19079,c_19078,c_19077,c_19076,c_19075,c_19074,c_19073,c_19072,c_19071,c_19070,c_19069,c_19068,c_19067,c_19066,c_19065,c_19064,c_19063,c_19062,c_18995,c_18991,c_18990,c_18989,c_18988,c_18950,c_18949,c_18948,c_18947,c_18946,c_18945,c_18944,c_18943,c_18942,c_18941,c_18940,c_18939,c_18938,c_18937,c_18936,c_18935,c_18934,c_18933,c_18932,c_18931,c_18930,c_18929,c_18928,c_18927,c_18926,c_18925,c_18924,c_18923,c_18920,c_18916,c_18915,c_18914,c_18913,c_18904,c_18893,c_18794,c_18793,c_18792,c_18791,c_18790,c_18789,c_18788,c_18787,c_18786,c_18785,c_18784,c_18783,c_18782,c_18781,c_18780,c_18779,c_18778,c_18777,c_18776,c_18775,c_18774,c_18773,c_18772,c_18771,c_18770,c_18769,c_18768,c_18767,c_18761,c_18760,c_18759,c_18758,c_18757,c_18655,c_18654,c_18653,c_18652,c_18651,c_18650,c_18649,c_18648,c_18647,c_18646,c_18645,c_18644,c_18643,c_18642,c_18641,c_18640,c_18639,c_18638,c_18637,c_18636,c_18635,c_18634,c_18633,c_18632,c_18631,c_18630,c_18629,c_18628,c_18622,c_18621,c_18620,c_18619,c_18618,c_18461,c_18460,c_18459,c_18458,c_18457,c_18456,c_18455,c_18454,c_18453,c_18452,c_18451,c_18450,c_18449,c_18448,c_18447,c_18446,c_18445,c_18444,c_18443,c_18442,c_18441,c_18440,c_18439,c_18438,c_18437,c_18436,c_18435,c_18434,c_18428,c_18427,c_18426,c_18425,c_18424,c_18415,c_18404,c_18246,c_18245,c_18244,c_18243,c_18242,c_18241,c_18240,c_18239,c_18238,c_18237,c_18236,c_18235,c_18234,c_18233,c_18232,c_18231,c_18230,c_18229,c_18228,c_18227,c_18226,c_18225,c_18224,c_18223,c_18222,c_18221,c_18220,c_18219,c_18200,c_18199,c_18198,c_18197,c_18196,c_18002,c_18001,c_18000,c_17999,c_17998,c_17997,c_17996,c_17995,c_17994,c_17993,c_17992,c_17991,c_17990,c_17989,c_17988,c_17987,c_17986,c_17985,c_17984,c_17983,c_17982,c_17981,c_17980,c_17979,c_17978,c_17977,c_17976,c_17975,c_17964,c_17963,c_17962,c_17961,c_17960,c_17912,c_17911,c_17910,c_17909,c_17908,c_17907,c_17906,c_17905,c_17904,c_17903,c_17902,c_17901,c_17900,c_17899,c_17898,c_17897,c_17896,c_17895,c_17894,c_17893,c_17892,c_17891,c_17890,c_17889,c_17888,c_17887,c_17886,c_17885,c_17879,c_17878,c_17877,c_17876,c_17875,c_17866,c_17855,c_17745,c_17744,c_17743,c_17742,c_17741,c_17740,c_17739,c_17738,c_17737,c_17736,c_17735,c_17734,c_17733,c_17732,c_17731,c_17730,c_17729,c_17728,c_17727,c_17726,c_17725,c_17724,c_17723,c_17722,c_17721,c_17720,c_17719,c_17718,c_17704,c_17703,c_17702,c_17701,c_17700,c_17646,c_17645,c_17644,c_17643,c_17642,c_17641,c_17640,c_17639,c_17638,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_17612,c_17611,c_17610,c_17609,c_17608,c_17523,c_17522,c_17521,c_17520,c_17519,c_17518,c_17517,c_17516,c_17515,c_17514,c_17513,c_17512,c_17511,c_17510,c_17509,c_17508,c_17507,c_17506,c_17505,c_17504,c_17503,c_17502,c_17501,c_17500,c_17499,c_17498,c_17497,c_17496,c_17489,c_17488,c_17487,c_17486,c_17477,c_17466,c_17383,c_17382,c_17381,c_17380,c_17379,c_17378,c_17377,c_17376,c_17375,c_17374,c_17373,c_17372,c_17371,c_17370,c_17369,c_17368,c_17367,c_17366,c_17365,c_17364,c_17363,c_17362,c_17361,c_17360,c_17359,c_17358,c_17357,c_17356,c_17349,c_17348,c_17347,c_17346,c_17194,c_17193,c_17192,c_17191,c_17190,c_17189,c_17188,c_17187,c_17186,c_17185,c_17184,c_17183,c_17182,c_17181,c_17180,c_17179,c_17178,c_17177,c_17176,c_17175,c_17174,c_17173,c_17172,c_17171,c_17170,c_17169,c_17168,c_17167,c_17147,c_17146,c_17145,c_17144,c_17062,c_17061,c_17060,c_17059,c_17058,c_17057,c_17056,c_17055,c_17054,c_17053,c_17052,c_17051,c_17050,c_17049,c_17048,c_17047,c_17046,c_17045,c_17044,c_17043,c_17042,c_17041,c_17040,c_17039,c_17038,c_17037,c_17036,c_17035,c_17028,c_17027,c_17026,c_17025,c_17016,c_17005,c_16711,c_16710,c_16709,c_16708,c_16707,c_16706,c_16705,c_16704,c_16703,c_16702,c_16701,c_16700,c_16699,c_16698,c_16697,c_16696,c_16695,c_16694,c_16693,c_16692,c_16691,c_16690,c_16689,c_16688,c_16687,c_16686,c_16685,c_16684,c_16677,c_16676,c_16675,c_16674,c_16623,c_16622,c_16621,c_16620,c_16619,c_16618,c_16617,c_16616,c_16615,c_16614,c_16613,c_16612,c_16611,c_16610,c_16609,c_16608,c_16607,c_16606,c_16605,c_16604,c_16603,c_16602,c_16601,c_16600,c_16599,c_16598,c_16597,c_16596,c_16589,c_16588,c_16587,c_16586,c_16245,c_16244,c_16243,c_16242,c_16241,c_16240,c_16239,c_16238,c_16237,c_16236,c_16235,c_16234,c_16233,c_16232,c_16231,c_16230,c_16229,c_16228,c_16227,c_16226,c_16225,c_16224,c_16223,c_16222,c_16221,c_16220,c_16219,c_16218,c_16167,c_16166,c_16165,c_16164,c_15875,c_15874,c_15873,c_15872,c_15871,c_15870,c_15869,c_15868,c_15867,c_15866,c_15865,c_15864,c_15863,c_15862,c_15861,c_15860,c_15859,c_15858,c_15857,c_15856,c_15855,c_15854,c_15853,c_15852,c_15851,c_15850,c_15849,c_15848,c_15841,c_15840,c_15839,c_15838,c_15806,c_15795,c_15745,c_15734,c_15675,c_15664,c_15608,c_15597,c_15547,c_15536,c_15480,c_15469,c_15311,c_15310,c_15309,c_15308,c_15307,c_15306,c_15305,c_15304,c_15303,c_15302,c_15301,c_15300,c_15299,c_15298,c_15297,c_15296,c_15295,c_15294,c_15293,c_15292,c_15291,c_15290,c_15289,c_15288,c_15287,c_15286,c_15285,c_15284,c_15244,c_15243,c_15242,c_15241,c_15240,c_15168,c_15167,c_15166,c_15165,c_15164,c_15163,c_15162,c_15161,c_15160,c_15159,c_15158,c_15157,c_15156,c_15155,c_15154,c_15153,c_15152,c_15151,c_15150,c_15149,c_15148,c_15147,c_15146,c_15145,c_15144,c_15143,c_15142,c_15141,c_15135,c_15134,c_15133,c_15132,c_15131,c_15067,c_15066,c_15065,c_15064,c_15063,c_15062,c_15061,c_15060,c_15059,c_15058,c_15057,c_15056,c_15055,c_15054,c_15053,c_15052,c_15051,c_15050,c_15049,c_15048,c_15047,c_15046,c_15045,c_15044,c_15043,c_15042,c_15041,c_15040,c_15034,c_15033,c_15032,c_15031,c_15030,c_14924,c_14923,c_14922,c_14921,c_14920,c_14919,c_14918,c_14917,c_14916,c_14915,c_14914,c_14913,c_14912,c_14911,c_14910,c_14909,c_14908,c_14907,c_14906,c_14905,c_14904,c_14903,c_14902,c_14901,c_14900,c_14899,c_14898,c_14897,c_14891,c_14890,c_14889,c_14888,c_14887,c_14829,c_14828,c_14827,c_14826,c_14825,c_14824,c_14823,c_14822,c_14821,c_14820,c_14819,c_14818,c_14817,c_14816,c_14815,c_14814,c_14813,c_14812,c_14811,c_14810,c_14809,c_14808,c_14807,c_14806,c_14805,c_14804,c_14803,c_14802,c_14787,c_14783,c_14782,c_14781,c_14780,c_14694,c_14693,c_14692,c_14691,c_14690,c_14689,c_14688,c_14687,c_14686,c_14685,c_14684,c_14683,c_14682,c_14681,c_14680,c_14679,c_14678,c_14677,c_14676,c_14675,c_14674,c_14673,c_14672,c_14671,c_14670,c_14669,c_14668,c_14667,c_14628,c_14624,c_14623,c_14622,c_14621,c_14565,c_14564,c_14563,c_14562,c_14561,c_14560,c_14559,c_14558,c_14557,c_14556,c_14555,c_14554,c_14553,c_14552,c_14551,c_14550,c_14549,c_14548,c_14547,c_14546,c_14545,c_14544,c_14543,c_14542,c_14541,c_14540,c_14539,c_14538,c_14535,c_14531,c_14530,c_14529,c_14528,c_14458,c_14457,c_14456,c_14455,c_14454,c_14453,c_14452,c_14451,c_14450,c_14449,c_14448,c_14447,c_14446,c_14445,c_14444,c_14443,c_14442,c_14441,c_14440,c_14439,c_14438,c_14437,c_14436,c_14435,c_14434,c_14433,c_14432,c_14431,c_14428,c_14424,c_14423,c_14422,c_14421,c_14417,c_14309,c_14308,c_14307,c_14306,c_14305,c_14304,c_14303,c_14302,c_14301,c_14300,c_14299,c_14298,c_14297,c_14296,c_14295,c_14294,c_14293,c_14292,c_14291,c_14290,c_14289,c_14288,c_14287,c_14286,c_14285,c_14284,c_14283,c_14282,c_14279,c_14276,c_14275,c_14274,c_14273,c_14272,c_14214,c_14213,c_14212,c_14211,c_14210,c_14209,c_14208,c_14207,c_14206,c_14205,c_14204,c_14203,c_14202,c_14201,c_14200,c_14199,c_14198,c_14197,c_14196,c_14195,c_14194,c_14193,c_14192,c_14191,c_14190,c_14189,c_14188,c_14187,c_14181,c_14180,c_14179,c_14178,c_14177,c_14071,c_14070,c_14069,c_14068,c_14067,c_14066,c_14065,c_14064,c_14063,c_14062,c_14061,c_14060,c_14059,c_14058,c_14057,c_14056,c_14055,c_14054,c_14053,c_14052,c_14051,c_14050,c_14049,c_14048,c_14047,c_14046,c_14045,c_14044,c_14038,c_14037,c_14036,c_14035,c_14034,c_13970,c_13969,c_13968,c_13967,c_13966,c_13965,c_13964,c_13963,c_13962,c_13961,c_13960,c_13959,c_13958,c_13957,c_13956,c_13955,c_13954,c_13953,c_13952,c_13951,c_13950,c_13949,c_13948,c_13947,c_13946,c_13945,c_13944,c_13943,c_13919,c_13918,c_13917,c_13916,c_13915,c_13824,c_13823,c_13822,c_13821,c_13820,c_13819,c_13818,c_13817,c_13816,c_13815,c_13814,c_13813,c_13812,c_13811,c_13810,c_13809,c_13808,c_13807,c_13806,c_13805,c_13804,c_13803,c_13802,c_13801,c_13800,c_13799,c_13798,c_13797,c_13791,c_13790,c_13789,c_13788,c_13787,c_13692,c_13691,c_13690,c_13689,c_13688,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_13665,c_13662,c_13659,c_13658,c_13657,c_13656,c_13655,c_13650,c_13581,c_13580,c_13579,c_13578,c_13577,c_13576,c_13575,c_13574,c_13573,c_13572,c_13571,c_13570,c_13569,c_13568,c_13567,c_13566,c_13565,c_13564,c_13563,c_13562,c_13561,c_13560,c_13559,c_13558,c_13557,c_13556,c_13555,c_13554,c_13547,c_13546,c_13545,c_13544,c_13393,c_13392,c_13391,c_13390,c_13389,c_13388,c_13387,c_13386,c_13385,c_13384,c_13383,c_13382,c_13381,c_13380,c_13379,c_13378,c_13377,c_13376,c_13375,c_13374,c_13373,c_13372,c_13371,c_13370,c_13369,c_13368,c_13367,c_13366,c_13359,c_13358,c_13357,c_13356,c_13288,c_13287,c_13286,c_13285,c_13284,c_13283,c_13282,c_13281,c_13280,c_13279,c_13278,c_13277,c_13276,c_13275,c_13274,c_13273,c_13272,c_13271,c_13270,c_13269,c_13268,c_13267,c_13266,c_13265,c_13264,c_13263,c_13262,c_13261,c_13254,c_13253,c_13252,c_13251,c_13105,c_13104,c_13103,c_13102,c_13101,c_13100,c_13099,c_13098,c_13097,c_13096,c_13095,c_13094,c_13093,c_13092,c_13091,c_13090,c_13089,c_13088,c_13087,c_13086,c_13085,c_13084,c_13083,c_13082,c_13081,c_13080,c_13079,c_13078,c_13071,c_13070,c_13069,c_13068,c_12955,c_12954,c_12953,c_12952,c_12951,c_12950,c_12949,c_12948,c_12947,c_12946,c_12945,c_12944,c_12943,c_12942,c_12941,c_12940,c_12939,c_12938,c_12937,c_12936,c_12935,c_12934,c_12933,c_12932,c_12931,c_12930,c_12929,c_12928,c_12917,c_12913,c_12912,c_12911,c_12910,c_12827,c_12826,c_12825,c_12824,c_12823,c_12822,c_12821,c_12820,c_12819,c_12818,c_12817,c_12816,c_12815,c_12814,c_12813,c_12812,c_12811,c_12810,c_12809,c_12808,c_12807,c_12806,c_12805,c_12804,c_12803,c_12802,c_12801,c_12800,c_12786,c_12785,c_12784,c_12783,c_12782,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_12660,c_12659,c_12658,c_12657,c_12656,c_12653,c_12649,c_12648,c_12647,c_12646,c_12538,c_12537,c_12536,c_12535,c_12534,c_12533,c_12532,c_12531,c_12530,c_12529,c_12528,c_12527,c_12526,c_12525,c_12524,c_12523,c_12522,c_12521,c_12520,c_12519,c_12518,c_12517,c_12516,c_12515,c_12514,c_12513,c_12512,c_12511,c_12505,c_12504,c_12503,c_12502,c_12501,c_12325,c_12324,c_12323,c_12322,c_12321,c_12320,c_12319,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_12304,c_12303,c_12302,c_12301,c_12300,c_12299,c_12298,c_12297,c_12296,c_12295,c_12294,c_12293,c_12292,c_12291,c_12290,c_12289,c_12288,c_12287,c_12286,c_12285,c_12284,c_12283,c_12282,c_12281,c_12280,c_12275,c_12274,c_12273,c_12111,c_12110,c_12109,c_12108,c_12107,c_12106,c_12105,c_12104,c_12103,c_12102,c_12101,c_12100,c_12099,c_12098,c_12097,c_12096,c_12095,c_12094,c_12093,c_12092,c_12091,c_12090,c_12089,c_12088,c_12087,c_12086,c_12085,c_12084,c_12083,c_12082,c_12081,c_12080,c_12079,c_12078,c_12077,c_12076,c_12075,c_12074,c_12073,c_12072,c_12071,c_12070,c_12069,c_12068,c_12067,c_12066,c_12062,c_12061,c_12060,c_11967,c_11966,c_11965,c_11964,c_11963,c_11962,c_11961,c_11960,c_11959,c_11958,c_11957,c_11956,c_11955,c_11954,c_11953,c_11952,c_11951,c_11950,c_11949,c_11948,c_11947,c_11946,c_11945,c_11944,c_11943,c_11942,c_11941,c_11940,c_11939,c_11938,c_11937,c_11936,c_11935,c_11934,c_11933,c_11932,c_11931,c_11930,c_11929,c_11928,c_11927,c_11926,c_11925,c_11924,c_11923,c_11922,c_11921,c_11920,c_11917,c_11916,c_11915,c_11578,c_11577,c_11576,c_11575,c_11574,c_11573,c_11572,c_11571,c_11570,c_11569,c_11568,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_11545,c_11544,c_11543,c_11542,c_11541,c_11540,c_11539,c_11538,c_11537,c_11536,c_11535,c_11534,c_11533,c_11532,c_11531,c_11529,c_11528,c_11527,c_11486,c_11475,c_11461,c_11444,c_11430,c_11419,c_11405,c_11394,c_11380,c_11369,c_11355,c_11276,c_11275,c_11274,c_11273,c_11272,c_11271,c_11270,c_11269,c_11268,c_11267,c_11266,c_11265,c_11264,c_11263,c_11262,c_11261,c_11260,c_11259,c_11258,c_11257,c_11256,c_11255,c_11254,c_11253,c_11246,c_11245,c_11244,c_11243,c_11090,c_11089,c_11088,c_11087,c_11086,c_11085,c_11084,c_11083,c_11082,c_11081,c_11080,c_11079,c_11078,c_11077,c_11076,c_11075,c_11074,c_11073,c_11072,c_11071,c_11070,c_11069,c_11068,c_11067,c_11056,c_11055,c_11054,c_11053,c_10991,c_10990,c_10989,c_10988,c_10987,c_10986,c_10985,c_10984,c_10983,c_10982,c_10981,c_10980,c_10979,c_10978,c_10977,c_10976,c_10975,c_10974,c_10973,c_10972,c_10971,c_10970,c_10969,c_10968,c_10961,c_10960,c_10959,c_10958,c_10950,c_10936,c_10813,c_10812,c_10811,c_10810,c_10809,c_10808,c_10807,c_10806,c_10805,c_10804,c_10803,c_10802,c_10801,c_10800,c_10799,c_10798,c_10797,c_10796,c_10795,c_10794,c_10793,c_10792,c_10791,c_10790,c_10783,c_10782,c_10781,c_10780,c_10704,c_10703,c_10702,c_10701,c_10700,c_10699,c_10698,c_10697,c_10696,c_10695,c_10694,c_10693,c_10692,c_10691,c_10690,c_10689,c_10688,c_10687,c_10686,c_10685,c_10684,c_10683,c_10682,c_10681,c_10674,c_10673,c_10672,c_10671,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_10571,c_10570,c_10569,c_10568,c_10560,c_10436,c_10435,c_10434,c_10433,c_10432,c_10431,c_10430,c_10429,c_10428,c_10427,c_10426,c_10425,c_10424,c_10423,c_10422,c_10421,c_10420,c_10419,c_10418,c_10417,c_10416,c_10415,c_10414,c_10413,c_10406,c_10405,c_10404,c_10403,c_10244,c_10243,c_10242,c_10241,c_10240,c_10239,c_10238,c_10237,c_10236,c_10235,c_10234,c_10233,c_10232,c_10231,c_10230,c_10229,c_10228,c_10227,c_10226,c_10225,c_10224,c_10223,c_10222,c_10221,c_10214,c_10213,c_10212,c_10211,c_10110,c_10109,c_10108,c_10107,c_10106,c_10105,c_10104,c_10103,c_10102,c_10101,c_10100,c_10099,c_10098,c_10097,c_10096,c_10095,c_10094,c_10093,c_10092,c_10091,c_10090,c_10089,c_10088,c_10087,c_10025,c_10024,c_10023,c_10022,c_9967,c_9950,c_9903,c_9892,c_9728,c_9727,c_9726,c_9725,c_9724,c_9723,c_9722,c_9721,c_9720,c_9719,c_9718,c_9717,c_9716,c_9715,c_9714,c_9713,c_9712,c_9711,c_9710,c_9709,c_9708,c_9707,c_9706,c_9705,c_9698,c_9697,c_9696,c_9695,c_9619,c_9618,c_9617,c_9616,c_9615,c_9614,c_9613,c_9612,c_9611,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_9589,c_9588,c_9587,c_9586,c_9485,c_9484,c_9483,c_9482,c_9481,c_9480,c_9479,c_9478,c_9477,c_9476,c_9475,c_9474,c_9473,c_9472,c_9471,c_9470,c_9469,c_9468,c_9467,c_9466,c_9465,c_9464,c_9463,c_9462,c_9455,c_9454,c_9453,c_9452,c_9372,c_9371,c_9370,c_9369,c_9368,c_9367,c_9366,c_9365,c_9364,c_9363,c_9362,c_9361,c_9360,c_9359,c_9358,c_9357,c_9356,c_9355,c_9354,c_9353,c_9352,c_9351,c_9350,c_9349,c_9342,c_9341,c_9340,c_9339,c_9317,c_9316,c_9315,c_9314,c_9313,c_9312,c_9311,c_9310,c_9309,c_9308,c_9307,c_9306,c_9305,c_9304,c_9303,c_9302,c_9301,c_9300,c_9299,c_9298,c_9297,c_9296,c_9295,c_9294,c_9291,c_9287,c_9286,c_9285,c_9284,c_9116,c_9115,c_9114,c_9113,c_9112,c_9111,c_9110,c_9109,c_9108,c_9107,c_9106,c_9105,c_9104,c_9103,c_9102,c_9101,c_9100,c_9099,c_9098,c_9097,c_9096,c_9095,c_9094,c_9093,c_9087,c_9086,c_9085,c_9084,c_9083,c_9019,c_9018,c_9017,c_9016,c_9015,c_9014,c_9013,c_9012,c_9011,c_9010,c_9009,c_9008,c_9007,c_9006,c_9005,c_9004,c_9003,c_9002,c_9001,c_9000,c_8999,c_8998,c_8997,c_8996,c_8993,c_8989,c_8988,c_8987,c_8986,c_8944,c_8943,c_8942,c_8941,c_8940,c_8939,c_8938,c_8937,c_8936,c_8935,c_8934,c_8933,c_8932,c_8931,c_8930,c_8929,c_8928,c_8927,c_8926,c_8925,c_8924,c_8923,c_8922,c_8921,c_8873,c_8872,c_8871,c_8870,c_8869,c_8836,c_8835,c_8834,c_8833,c_8832,c_8831,c_8830,c_8829,c_8828,c_8827,c_8826,c_8825,c_8824,c_8823,c_8822,c_8821,c_8820,c_8819,c_8818,c_8817,c_8816,c_8815,c_8814,c_8813,c_8770,c_8769,c_8768,c_8767,c_8701,c_8700,c_8699,c_8698,c_8697,c_8696,c_8695,c_8694,c_8693,c_8692,c_8691,c_8690,c_8689,c_8688,c_8687,c_8686,c_8685,c_8684,c_8683,c_8682,c_8681,c_8680,c_8679,c_8678,c_8677,c_8676,c_8675,c_8674,c_8673,c_8672,c_8671,c_8670,c_8669,c_8668,c_8621,c_8620,c_8619,c_8618,c_8617,c_8616,c_8615,c_8614,c_8613,c_8612,c_8611,c_8610,c_8609,c_8608,c_8607,c_8606,c_8605,c_8604,c_8603,c_8602,c_8601,c_8600,c_8599,c_8598,c_8597,c_8596,c_8595,c_8594,c_8593,c_8592,c_8591,c_8590,c_8589,c_8588,c_8587,c_8539,c_8529,c_8519,c_8509,c_8446,c_8436,c_8426,c_8413,c_8409,c_8408,c_8407,c_8393,c_8392,c_8391,c_8390,c_8379,c_8375,c_8374,c_8373,c_8359,c_8358,c_8357,c_8356,c_8306,c_8296,c_8286,c_8276,c_8266,c_8256,c_8245,c_8234,c_8223,c_8212,c_8201,c_8190,c_8121,c_8120,c_8119,c_8118,c_8117,c_8116,c_8115,c_8114,c_8113,c_8112,c_8111,c_8110,c_8109,c_8108,c_8107,c_8106,c_8105,c_8104,c_8099,c_8098,c_8097,c_8096,c_8090,c_8089,c_8088,c_7968,c_7967,c_7966,c_7965,c_7964,c_7963,c_7962,c_7961,c_7960,c_7959,c_7958,c_7957,c_7956,c_7955,c_7954,c_7953,c_7952,c_7951,c_7946,c_7945,c_7944,c_7943,c_7937,c_7936,c_7935,c_7860,c_7859,c_7858,c_7857,c_7856,c_7855,c_7854,c_7853,c_7852,c_7851,c_7850,c_7849,c_7848,c_7847,c_7846,c_7845,c_7844,c_7843,c_7838,c_7837,c_7836,c_7835,c_7829,c_7828,c_7827,c_7826,c_7807,c_7796,c_7785,c_7699,c_7698,c_7697,c_7696,c_7695,c_7694,c_7693,c_7692,c_7691,c_7690,c_7689,c_7688,c_7687,c_7686,c_7685,c_7684,c_7683,c_7682,c_7677,c_7676,c_7675,c_7674,c_7668,c_7667,c_7666,c_7665,c_7609,c_7608,c_7607,c_7606,c_7603,c_7602,c_7601,c_7600,c_7599,c_7598,c_7597,c_7596,c_7595,c_7594,c_7593,c_7592,c_7583,c_7580,c_7579,c_7578,c_7491,c_7490,c_7489,c_7488,c_7485,c_7484,c_7483,c_7482,c_7481,c_7480,c_7479,c_7478,c_7477,c_7476,c_7475,c_7474,c_7465,c_7462,c_7461,c_7460,c_7381,c_7380,c_7379,c_7378,c_7375,c_7374,c_7373,c_7372,c_7371,c_7370,c_7369,c_7368,c_7367,c_7366,c_7365,c_7364,c_7355,c_7352,c_7351,c_7350,c_7263,c_7262,c_7261,c_7260,c_7257,c_7256,c_7255,c_7254,c_7253,c_7252,c_7251,c_7250,c_7249,c_7248,c_7247,c_7246,c_7231,c_7228,c_7227,c_7226,c_7135,c_7134,c_7133,c_7132,c_7129,c_7128,c_7127,c_7126,c_7125,c_7124,c_7123,c_7122,c_7121,c_7120,c_7119,c_7118,c_7105,c_7102,c_7101,c_7100,c_6961,c_6960,c_6959,c_6958,c_6955,c_6954,c_6953,c_6952,c_6951,c_6950,c_6949,c_6948,c_6947,c_6946,c_6945,c_6944,c_6935,c_6932,c_6931,c_6930,c_6818,c_6817,c_6816,c_6815,c_6812,c_6811,c_6810,c_6809,c_6808,c_6807,c_6806,c_6805,c_6804,c_6803,c_6802,c_6801,c_6792,c_6789,c_6788,c_6787,c_6711,c_6710,c_6709,c_6708,c_6705,c_6704,c_6703,c_6702,c_6701,c_6700,c_6699,c_6698,c_6697,c_6696,c_6695,c_6694,c_6685,c_6682,c_6681,c_6680,c_6596,c_6595,c_6594,c_6593,c_6590,c_6589,c_6588,c_6587,c_6586,c_6585,c_6584,c_6583,c_6582,c_6581,c_6580,c_6579,c_6570,c_6567,c_6566,c_6565,c_6550,c_6539,c_6525,c_6514,c_6496,c_6485,c_6441,c_6430,c_6356,c_6355,c_6354,c_6353,c_6352,c_6351,c_6350,c_6349,c_6348,c_6343,c_6342,c_6341,c_6340,c_6334,c_6333,c_6332,c_6306,c_6305,c_6304,c_6303,c_6302,c_6301,c_6300,c_6299,c_6298,c_6293,c_6292,c_6291,c_6290,c_6284,c_6283,c_6282,c_6269,c_6252,c_6251,c_6250,c_6211,c_6194,c_6193,c_6192,c_6184,c_6161,c_6160,c_6159,c_6151,c_6134,c_6133,c_6132,c_6124,c_6110,c_6109,c_6100,c_6086,c_6084,c_6076,c_6062,c_6061,c_6052,c_6038,c_6036,c_6028,c_6011,c_6010,c_6009,c_5818,c_5817,c_5816,c_5815,c_5814,c_5813,c_5812,c_5811,c_5810,c_5809,c_5808,c_5807,c_5806,c_5805,c_5804,c_5803,c_5796,c_5795,c_5786,c_5783,c_5782,c_5781,c_5760,c_5696,c_5695,c_5694,c_5693,c_5692,c_5691,c_5690,c_5689,c_5688,c_5687,c_5686,c_5685,c_5684,c_5683,c_5682,c_5681,c_5680,c_5679,c_5660,c_5657,c_5656,c_5655,c_5620,c_5619,c_5618,c_5617,c_5616,c_5615,c_5614,c_5613,c_5612,c_5611,c_5610,c_5609,c_5608,c_5607,c_5606,c_5605,c_5604,c_5603,c_5588,c_5585,c_5584,c_5583,c_5544,c_5543,c_5542,c_5541,c_5540,c_5539,c_5538,c_5537,c_5536,c_5535,c_5534,c_5533,c_5532,c_5531,c_5530,c_5529,c_5528,c_5527,c_5518,c_5515,c_5514,c_5513,c_5461,c_5460,c_5459,c_5458,c_5457,c_5456,c_5455,c_5454,c_5453,c_5452,c_5451,c_5450,c_5449,c_5448,c_5447,c_5446,c_5445,c_5444,c_5435,c_5432,c_5431,c_5430,c_5372,c_5371,c_5370,c_5369,c_5368,c_5367,c_5366,c_5365,c_5364,c_5363,c_5362,c_5361,c_5360,c_5359,c_5358,c_5357,c_5356,c_5355,c_5346,c_5343,c_5342,c_5341,c_5286,c_5285,c_5284,c_5283,c_5282,c_5281,c_5280,c_5279,c_5278,c_5277,c_5276,c_5275,c_5274,c_5273,c_5272,c_5271,c_5270,c_5269,c_5260,c_5257,c_5256,c_5255,c_5222,c_5221,c_5220,c_5219,c_5218,c_5217,c_5216,c_5215,c_5214,c_5213,c_5212,c_5211,c_5210,c_5209,c_5208,c_5207,c_5206,c_5205,c_5168,c_5165,c_5164,c_5163,c_5151,c_5082,c_5081,c_5080,c_5079,c_5078,c_5077,c_5076,c_5075,c_5074,c_5073,c_5072,c_5071,c_5070,c_5069,c_5068,c_5067,c_5066,c_5065,c_5056,c_5053,c_5052,c_5051,c_5029,c_5010,c_5009,c_5008,c_5007,c_5006,c_5005,c_5004,c_5003,c_5002,c_5001,c_5000,c_4999,c_4998,c_4997,c_4996,c_4995,c_4994,c_4992,c_4989,c_4988,c_4972,c_4971,c_4940,c_4939,c_4938,c_4873,c_4872,c_4871,c_4869,c_4868,c_4867,c_4756,c_4755,c_4754,c_4753,c_4752,c_4751,c_4750,c_4604,c_4603,c_4602,c_4601,c_4600,c_4599,c_4598,c_4597,c_4596,c_4595,c_4594,c_4593,c_4592,c_4591,c_4590,c_4589,c_4588,c_4587,c_4474,c_4473,c_4472,c_4471,c_4470,c_4469,c_4468,c_4467,c_4466,c_4465,c_4464,c_4463,c_4462,c_4461,c_4460,c_4459,c_4458,c_4457,c_4439,c_4411,c_4410,c_4399,c_4398,c_4322,c_4301,c_4286,c_4245,c_4092,c_4091,c_4090,c_4089,c_4088,c_4087,c_4086,c_4085,c_4084,c_4083,c_4082,c_4081,c_4080,c_4079,c_4078,c_4077,c_4076,c_4075,c_4052,c_4051,c_4043,c_4042,c_4038,c_4034,c_4033,c_4026,c_4025,c_4024,c_4008,c_4004,c_4003,c_3996,c_3995,c_3994,c_3976,c_3975,c_3967,c_3966,c_3844,c_3843,c_3842,c_3841,c_3840,c_3839,c_3838,c_3837,c_3836,c_3835,c_3834,c_3833,c_3832,c_3831,c_3830,c_3829,c_3828,c_3827,c_3768,c_3767,c_3766,c_3765,c_3764,c_3763,c_3744,c_3682,c_3681,c_3680,c_3679,c_3678,c_3677,c_3665,c_3603,c_3602,c_3601,c_3600,c_3599,c_3598,c_3562,c_3404,c_3403,c_3402,c_3401,c_3400,c_3399,c_3398,c_3397,c_3396,c_3395,c_3394,c_3393,c_3392,c_3391,c_3390,c_3389,c_3388,c_3387,c_3273,c_3272,c_3271,c_3270,c_3269,c_3268,c_3267,c_3266,c_3265,c_3264,c_3263,c_3262,c_3261,c_3260,c_3259,c_3258,c_3257,c_3256,c_3210,c_3209,c_3208,c_3207,c_3206,c_3205,c_3204,c_3203,c_3202,c_3201,c_3198,c_3195,c_3194,c_3193,c_3191,c_3188,c_3185,c_3184,c_3183,c_3182,c_3181,c_3180,c_3140,c_3139,c_3138,c_3137,c_3136,c_3135,c_3134,c_3133,c_3132,c_3131,c_3130,c_3129,c_3128,c_3127,c_3126,c_3125,c_3124,c_3087,c_3086,c_3085,c_3084,c_3083,c_3082,c_3081,c_3080,c_3079,c_3078,c_3077,c_3076,c_3075,c_3074,c_3073,c_3072,c_3071,c_3040,c_3039,c_3038,c_3037,c_3036,c_3035,c_3034,c_3033,c_2995,c_2994,c_2993,c_2992,c_2991,c_2990,c_2989,c_2988,c_2987,c_2986,c_2985,c_2984,c_2983,c_2982,c_2981,c_2980,c_2944,c_2943,c_2942,c_2941,c_2940,c_2939,c_2938,c_2937,c_2936,c_2935,c_2934,c_2933,c_2932,c_2931,c_2930,c_2929,c_2900,c_2899,c_2898,c_2897,c_2896,c_2895,c_2894,c_2886,c_2849,c_2848,c_2847,c_2846,c_2845,c_2844,c_2842,c_2833,c_2832,c_2831,c_2830,c_2829,c_2828,c_2826,c_2821,c_2820,c_2819,c_2818,c_2817,c_2816,c_2807,c_2806,c_2805,c_2804,c_2803,c_2802,c_2793,c_2792,c_2791,c_2790,c_2789,c_2788,c_2779,c_2778,c_2777,c_2776,c_2775,c_2774,c_2765,c_2764,c_2763,c_2762,c_2761,c_2760,c_2759,c_2758,c_2757,c_2756,c_2755,c_2754,c_2753,c_2752,c_2751,c_2750,c_2749,c_2748,c_2747,c_2746,c_2745,c_2744,c_2743,c_2742,c_2708,c_2707,c_2706,c_2705,c_2704,c_2703,c_2697,c_2696,c_2695,c_2683,c_2679,c_2678,c_2677,c_2676,c_2675,c_2674,c_2673,c_2672,c_2671,c_2666,c_2665,c_2664,c_2663,c_2662,c_2661,c_2660,c_2659,c_2658,c_2657,c_2656,c_2655,c_2645,c_2644,c_2634,c_2633,c_2631,c_2599,c_2598,c_2596,c_2588,c_2587,c_2586,c_2585,c_2577,c_2576,c_2575,c_2566,c_2565,c_2564,c_2563,c_2556,c_2553,c_2549,c_2548,c_2547,c_2533,c_2530,c_2529,c_2526,c_2525,c_2520,c_2519,c_1619,c_1618,c_1617,c_1616,c_954,c_942,c_930,c_918,c_913,c_908,c_886,c_874,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,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
% 0.00/0.02 % Problem : RNG091+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n016.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Thu Sep 24 08:15:27 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 14.84/2.80 % SZS status Started for theBenchmark.p
% 14.84/2.80 % SZS status Theorem for theBenchmark.p
% 14.84/2.80
% 14.84/2.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.84/2.80
% 14.84/2.80 % ------ iProver source info
% 14.84/2.80
% 14.84/2.80 % git: date: 2026-07-19 20:42:38 +0200
% 14.84/2.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.84/2.80 % git: non_committed_changes: false
% 14.84/2.80
% 14.84/2.80 % ------ Parsing...
% 14.84/2.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.84/2.80
% 14.84/2.80 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 14.84/2.80
% 14.84/2.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.84/2.80
% 14.84/2.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.84/2.80 % ------ Proving...
% 14.84/2.80 % ------ Problem Properties
% 14.84/2.80
% 14.84/2.80 %
% 14.84/2.80 % clauses 71
% 14.84/2.80 % conjectures 1
% 14.84/2.80 % EPR 13
% 14.84/2.80 % Horn 62
% 14.84/2.80 % unary 23
% 14.84/2.80 % binary 13
% 14.84/2.80 % lits 190
% 14.84/2.80 % lits eq 38
% 14.84/2.80 % fd_pure 0
% 14.84/2.80 % fd_pseudo 0
% 14.84/2.80 % fd_cond 1
% 14.84/2.80 % fd_pseudo_cond 8
% 14.84/2.80 % AC symbols 0
% 14.84/2.80
% 14.84/2.80 % ------ Schedule dynamic 5 is on
% 14.84/2.80
% 14.84/2.80 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.84/2.80
% 14.84/2.80
% 14.84/2.80 % ------
% 14.84/2.80 % Current options:
% 14.84/2.80 % ------
% 14.84/2.80
% 14.84/2.80
% 14.84/2.80 %
% 14.84/2.80
% 14.84/2.80 % ------ Proving...
% 14.84/2.80 %
% 14.84/2.80
% 14.84/2.80 % SZS status Theorem for theBenchmark.p
% 14.84/2.80
% 14.84/2.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.84/2.87
% 14.84/2.87
%------------------------------------------------------------------------------