%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM536+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Thu Sep 24 01:40:54 PM UTC 2026
% Result : Theorem 20.03s 3.09s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 376
% Syntax : Number of formulae : 1376 ( 25 unt; 364 def)
% Number of atoms : 7597 (1173 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 10858 (4637 ~;5698 |; 122 &)
% ( 380 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 368 ( 366 usr; 360 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 2316 (2307 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,definition,
! [W0] :
( W0 = slcrc0
<=> ( ~ ? [W1] : aElementOf0(W1,W0)
& aSet0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0] :
( ( isCountable0(W0)
& aSet0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0] :
( ( isCountable0(W0)
& aSet0(W0) )
=> W0 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [W0] :
( ( isFinite0(W0)
& aSet0(W0) )
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> isFinite0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [W0,W1] :
( ( aSet0(W1)
& aSet0(W0) )
=> ( ( aSubsetOf0(W1,W0)
& aSubsetOf0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0,W1,W2] :
( ( aSet0(W2)
& aSet0(W1)
& aSet0(W0) )
=> ( ( aSubsetOf0(W1,W2)
& aSubsetOf0(W0,W1) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,definition,
! [W0,W1] :
( ( aElement0(W1)
& aSet0(W0) )
=> ! [W2] :
( W2 = sdtpldt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( ( W3 = W1
| aElementOf0(W3,W0) )
& aElement0(W3) ) )
& aSet0(W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,definition,
! [W0,W1] :
( ( aElement0(W1)
& aSet0(W0) )
=> ! [W2] :
( W2 = sdtmndt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3) ) )
& aSet0(W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
( aSet0(xS)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,conjecture,
( ( ! [W0] :
( aElementOf0(W0,sdtpldt0(xS,xx))
<=> ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> sdtmndt0(sdtpldt0(xS,xx),xx) = xS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ ( ( ! [W0] :
( aElementOf0(W0,sdtpldt0(xS,xx))
<=> ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> sdtmndt0(sdtpldt0(xS,xx),xx) = xS ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f28,plain,
! [W0] :
( ! [W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f29,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f32,plain,
! [W0] :
( W0 = slcrc0
<=> ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
! [W0] :
( ( ? [W1] : aElementOf0(W1,W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(NNF_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
( ! [W0] :
( ? [W1] : aElementOf0(W1,W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ! [W0] :
( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f35,plain,
( ! [W0] :
( aElementOf0(sK0_skl(W0),W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ! [W0] :
( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f34]) ).
fof(f36,plain,
! [X0] :
( aSet0(X0)
| X0 != slcrc0 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| X0 != slcrc0 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X0] :
( aElementOf0(sK0_skl(X0),X0)
| ~ aSet0(X0)
| X0 = slcrc0 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f39,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f42,plain,
! [W0] :
( ~ isFinite0(W0)
| ~ isCountable0(W0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [W0] :
( W0 != slcrc0
| ~ isCountable0(W0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
! [X0] :
( X0 != slcrc0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
! [W0] :
( ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) ) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f47,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
! [W0] :
( ( ! [W1] :
( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f49,plain,
! [W0] :
( ( ! [W1] :
( ( ~ aElementOf0(sK1_skl(W1,W0),W0)
& aElementOf0(sK1_skl(W1,W0),W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f52,plain,
! [X0,X1] :
( aElementOf0(sK1_skl(X1,X0),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f53,plain,
! [X0,X1] :
( ~ aElementOf0(sK1_skl(X1,X0),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f54,plain,
! [W0] :
( ! [W1] :
( isFinite0(W1)
| ~ aSubsetOf0(W1,W0) )
| ~ isFinite0(W0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f55,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [W0] :
( aSubsetOf0(W0,W0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f57,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [W0,W1] :
( W0 = W1
| ~ aSubsetOf0(W1,W0)
| ~ aSubsetOf0(W0,W1)
| ~ aSet0(W1)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f59,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [W0,W1,W2] :
( aSubsetOf0(W0,W2)
| ~ aSubsetOf0(W1,W2)
| ~ aSubsetOf0(W0,W1)
| ~ aSet0(W2)
| ~ aSet0(W1)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f61,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [W0,W1] :
( ! [W2] :
( W2 = sdtpldt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( ( W3 = W1
| aElementOf0(W3,W0) )
& aElement0(W3) ) )
& aSet0(W2) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f63,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] :
( ( ( ( W3 = W1
| aElementOf0(W3,W0) )
& aElement0(W3) )
| aElementOf0(W3,W2) )
& ( ( W3 != W1
& ~ aElementOf0(W3,W0) )
| ~ aElement0(W3)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtpldt0(W0,W1) )
& ( ( ! [W3] :
( ( ( W3 != W1
& ~ aElementOf0(W3,W0) )
| ~ aElement0(W3)
| aElementOf0(W3,W2) )
& ( ( ( W3 = W1
| aElementOf0(W3,W0) )
& aElement0(W3) )
| ~ aElementOf0(W3,W2) ) )
& aSet0(W2) )
| W2 != sdtpldt0(W0,W1) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [W0,W1] :
( ( ! [W2] :
( ? [W3] :
( ( ( ( W3 = W1
| aElementOf0(W3,W0) )
& aElement0(W3) )
| aElementOf0(W3,W2) )
& ( ( W3 != W1
& ~ aElementOf0(W3,W0) )
| ~ aElement0(W3)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtpldt0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ( W3 != W1
& ~ aElementOf0(W3,W0) )
| ~ aElement0(W3)
| aElementOf0(W3,W2) )
& ! [W3] :
( ( ( W3 = W1
| aElementOf0(W3,W0) )
& aElement0(W3) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtpldt0(W0,W1) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f65,plain,
! [W0,W1] :
( ( ! [W2] :
( ( ( ( ( sK2_skl(W2,W1,W0) = W1
| aElementOf0(sK2_skl(W2,W1,W0),W0) )
& aElement0(sK2_skl(W2,W1,W0)) )
| aElementOf0(sK2_skl(W2,W1,W0),W2) )
& ( ( sK2_skl(W2,W1,W0) != W1
& ~ aElementOf0(sK2_skl(W2,W1,W0),W0) )
| ~ aElement0(sK2_skl(W2,W1,W0))
| ~ aElementOf0(sK2_skl(W2,W1,W0),W2) ) )
| ~ aSet0(W2)
| W2 = sdtpldt0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ( W3 != W1
& ~ aElementOf0(W3,W0) )
| ~ aElement0(W3)
| aElementOf0(W3,W2) )
& ! [W3] :
( ( ( W3 = W1
| aElementOf0(W3,W0) )
& aElement0(W3) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtpldt0(W0,W1) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W3,sK2_skl(W2,W1,W0))],[f64]) ).
fof(f66,plain,
! [X0,X1,X2] :
( aSet0(X2)
| X2 != sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( aElement0(X3)
| ~ aElementOf0(X3,X2)
| X2 != sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( X3 = X1
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2)
| X2 != sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| aElementOf0(X3,X2)
| X2 != sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( X3 != X1
| ~ aElement0(X3)
| aElementOf0(X3,X2)
| X2 != sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ aElementOf0(sK2_skl(X2,X1,X0),X0)
| ~ aElement0(sK2_skl(X2,X1,X0))
| ~ aElementOf0(sK2_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f72,plain,
! [X0,X1,X2] :
( sK2_skl(X2,X1,X0) != X1
| ~ aElement0(sK2_skl(X2,X1,X0))
| ~ aElementOf0(sK2_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f73,plain,
! [X0,X1,X2] :
( aElement0(sK2_skl(X2,X1,X0))
| aElementOf0(sK2_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f74,plain,
! [X0,X1,X2] :
( sK2_skl(X2,X1,X0) = X1
| aElementOf0(sK2_skl(X2,X1,X0),X0)
| aElementOf0(sK2_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f75,plain,
! [W0,W1] :
( ! [W2] :
( W2 = sdtmndt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3) ) )
& aSet0(W2) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f76,definition,
! [W0,W1,W3] :
( sP0_prd(W3,W1,W0)
<=> ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f77,plain,
! [W0,W1] :
( ! [W2] :
( W2 = sdtmndt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> sP0_prd(W3,W1,W0) )
& aSet0(W2) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(formula_renaming,[status(thm)],[f75,f76]) ).
fof(f78,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] :
( ( sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ( ~ sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtmndt0(W0,W1) )
& ( ( ! [W3] :
( ( ~ sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ( sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) ) )
& aSet0(W2) )
| W2 != sdtmndt0(W0,W1) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [W0,W1] :
( ( ! [W2] :
( ? [W3] :
( ( sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ( ~ sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtmndt0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ~ sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ! [W3] :
( sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtmndt0(W0,W1) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f80,plain,
! [W0,W1] :
( ( ! [W2] :
( ( ( sP0_prd(sK3_skl(W2,W1,W0),W1,W0)
| aElementOf0(sK3_skl(W2,W1,W0),W2) )
& ( ~ sP0_prd(sK3_skl(W2,W1,W0),W1,W0)
| ~ aElementOf0(sK3_skl(W2,W1,W0),W2) ) )
| ~ aSet0(W2)
| W2 = sdtmndt0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ~ sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ! [W3] :
( sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtmndt0(W0,W1) ) )
| ~ aElement0(W1)
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(W3,sK3_skl(W2,W1,W0))],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( aSet0(X2)
| X2 != sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( sP0_prd(X3,X1,X0)
| ~ aElementOf0(X3,X2)
| X2 != sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ sP0_prd(X3,X1,X0)
| aElementOf0(X3,X2)
| X2 != sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ sP0_prd(sK3_skl(X2,X1,X0),X1,X0)
| ~ aElementOf0(sK3_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f85,plain,
! [X0,X1,X2] :
( sP0_prd(sK3_skl(X2,X1,X0),X1,X0)
| aElementOf0(sK3_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f86,plain,
! [W0] :
( ! [W1] :
( sdtpldt0(sdtmndt0(W0,W1),W1) = W0
| ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f87,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f88,plain,
aElement0(xx),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f89,plain,
aSet0(xS),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f90,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f91,plain,
( sdtmndt0(sdtpldt0(xS,xx),xx) != xS
& ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [W0] :
( aElementOf0(W0,sdtpldt0(xS,xx))
<=> ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) ) )
& aSet0(sdtpldt0(xS,xx)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f92,plain,
( sdtmndt0(sdtpldt0(xS,xx),xx) != xS
& ! [W0] :
( ( W0 = xx
| ~ aElementOf0(W0,sdtpldt0(xS,xx))
| ~ aElement0(W0)
| aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) )
| ~ aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [W0] :
( ( ( W0 != xx
& ~ aElementOf0(W0,xS) )
| ~ aElement0(W0)
| aElementOf0(W0,sdtpldt0(xS,xx)) )
& ( ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) )
| ~ aElementOf0(W0,sdtpldt0(xS,xx)) ) )
& aSet0(sdtpldt0(xS,xx)) ),
inference(NNF_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
( sdtmndt0(sdtpldt0(xS,xx),xx) != xS
& ! [W0] :
( W0 = xx
| ~ aElementOf0(W0,sdtpldt0(xS,xx))
| ~ aElement0(W0)
| aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ! [W0] :
( ( W0 != xx
& aElementOf0(W0,sdtpldt0(xS,xx))
& aElement0(W0) )
| ~ aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [W0] :
( ( W0 != xx
& ~ aElementOf0(W0,xS) )
| ~ aElement0(W0)
| aElementOf0(W0,sdtpldt0(xS,xx)) )
& ! [W0] :
( ( ( W0 = xx
| aElementOf0(W0,xS) )
& aElement0(W0) )
| ~ aElementOf0(W0,sdtpldt0(xS,xx)) )
& aSet0(sdtpldt0(xS,xx)) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f94,plain,
aSet0(sdtpldt0(xS,xx)),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f96,plain,
! [X0] :
( X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f97,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f98,plain,
! [X0] :
( X0 != xx
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f99,plain,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f100,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f101,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f102,plain,
! [X0] :
( X0 != xx
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f103,plain,
! [X0] :
( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f104,plain,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f105,plain,
! [W0,W1,W3] :
( ( W3 = W1
| ~ aElementOf0(W3,W0)
| ~ aElement0(W3)
| sP0_prd(W3,W1,W0) )
& ( ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3) )
| ~ sP0_prd(W3,W1,W0) ) ),
inference(NNF_transformation,[status(thm)],[f76]) ).
fof(f106,plain,
( ! [W0,W1,W3] :
( W3 = W1
| ~ aElementOf0(W3,W0)
| ~ aElement0(W3)
| sP0_prd(W3,W1,W0) )
& ! [W0,W1,W3] :
( ( W3 != W1
& aElementOf0(W3,W0)
& aElement0(W3) )
| ~ sP0_prd(W3,W1,W0) ) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f108,plain,
! [X0,X1,X2] :
( aElementOf0(X0,X2)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f110,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ aElementOf0(X0,X2)
| ~ aElement0(X0)
| sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ aElement0(X1)
| aElementOf0(X1,X2)
| X2 != sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f70]) ).
fof(f112,plain,
! [X0,X1,X2] :
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f111]) ).
fof(f114,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[status(thm)],[f66]) ).
fof(f115,plain,
aSet0(slcrc0),
inference(equality_resolution,[status(thm)],[f36]) ).
fof(f116,plain,
! [X0] : ~ aElementOf0(X0,slcrc0),
inference(equality_resolution,[status(thm)],[f37]) ).
fof(f117,plain,
( aElement0(sK0_skl(sdtpldt0(xS,xx)))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = slcrc0 ),
inference(resolution,[status(thm)],[f38,f95]) ).
fof(f119,definition,
( sQ0_spl
<=> sdtpldt0(xS,xx) = slcrc0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ0_spl
| sdtpldt0(xS,xx) = slcrc0 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,definition,
( sQ1_spl
<=> aSet0(sdtpldt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( sQ1_spl
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,definition,
( sQ2_spl
<=> aElement0(sK0_skl(sdtpldt0(xS,xx))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ2_spl
| aElement0(sK0_skl(sdtpldt0(xS,xx))) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f117,f119,f122,f125]) ).
fof(f138,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f94]) ).
fof(f139,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f138]) ).
fof(f140,plain,
! [X0,X1,X2] :
( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[status(thm)],[f67]) ).
fof(f141,plain,
! [X0,X1,X2] :
( X2 = X1
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[status(thm)],[f68]) ).
fof(f142,plain,
( ~ aSet0(slcrc0)
| slcrc0 = slcrc0 ),
inference(resolution,[status(thm)],[f116,f38]) ).
fof(f143,definition,
( sQ5_spl
<=> slcrc0 = slcrc0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f146,definition,
( sQ6_spl
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ6_spl
| ~ aSet0(slcrc0) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f142,f143,f146]) ).
fof(f150,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f43,f39]) ).
fof(f151,definition,
( sQ7_spl
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f150,f146,f151]) ).
fof(f155,plain,
! [X0] :
( X0 != slcrc0
| ~ isCountable0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f45,f36]) ).
fof(f160,plain,
! [X0] :
( aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[f97,f29]) ).
fof(f161,definition,
! [X0] :
( sQ8_spl
<=> ( aElement0(X0)
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f160,f161,f122]) ).
fof(f165,plain,
( ~ aElement0(xx)
| aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(equality_resolution,[status(thm)],[f98]) ).
fof(f166,definition,
( sQ9_spl
<=> aElementOf0(xx,sdtpldt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ9_spl
| aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ10_spl
<=> aElement0(xx) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ10_spl
| ~ aElement0(xx) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( ~ sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f165,f166,f169]) ).
fof(f173,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[status(thm)],[f81]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(X3,X2)
| X2 != sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f29]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[status(thm)],[f174]) ).
fof(f176,plain,
! [X0,X1] :
( aElementOf0(X1,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[status(thm)],[f112]) ).
fof(f180,definition,
( sQ11_spl
<=> aSet0(xS) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ11_spl
| ~ aSet0(xS) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ12_spl
<=> aElementOf0(xx,xS) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ12_spl
| aElementOf0(xx,xS) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ13_spl
<=> xx = xx ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f171,f88]) ).
fof(f192,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f194,plain,
! [X0] :
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f52,f116]) ).
fof(f195,plain,
! [X0] :
( sK1_skl(sdtpldt0(xS,xx),X0) = xx
| aElementOf0(sK1_skl(sdtpldt0(xS,xx),X0),xS)
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f52,f96]) ).
fof(f196,plain,
! [X0] :
( aElement0(sK1_skl(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f52,f95]) ).
fof(f198,definition,
! [X0] :
( sQ14_spl
<=> ( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f199,plain,
! [X0] :
( ~ sQ14_spl
| aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( ~ sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f194,f198,f146]) ).
fof(f202,definition,
! [X0] :
( sQ15_spl
<=> ( sK1_skl(sdtpldt0(xS,xx),X0) = xx
| aElementOf0(sK1_skl(sdtpldt0(xS,xx),X0),xS)
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f203,plain,
! [X0] :
( ~ sQ15_spl
| sK1_skl(sdtpldt0(xS,xx),X0) = xx
| aElementOf0(sK1_skl(sdtpldt0(xS,xx),X0),xS)
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( ~ sQ1_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f195,f202,f122]) ).
fof(f206,definition,
! [X0] :
( sQ16_spl
<=> ( aElement0(sK1_skl(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ1_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f196,f206,f122]) ).
fof(f212,plain,
! [X0] :
( ~ aElementOf0(sK1_skl(X0,sdtpldt0(xS,xx)),xS)
| ~ aElement0(sK1_skl(X0,sdtpldt0(xS,xx)))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f53,f97]) ).
fof(f214,definition,
! [X0] :
( sQ17_spl
<=> ( ~ aElementOf0(sK1_skl(X0,sdtpldt0(xS,xx)),xS)
| ~ aElement0(sK1_skl(X0,sdtpldt0(xS,xx)))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( sQ17_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f212,f122,f214]) ).
fof(f227,plain,
( ~ sQ0_spl
| aElementOf0(xx,slcrc0)
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f120,f112]) ).
fof(f244,definition,
( sQ18_spl
<=> aElementOf0(xx,slcrc0) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ18_spl
| aElementOf0(xx,slcrc0) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( ~ sQ0_spl
| sQ18_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f227,f180,f169,f244,f119]) ).
fof(f252,definition,
! [X0] :
( sQ20_spl
<=> ( X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f256,definition,
! [X0] :
( sQ21_spl
<=> ( aElement0(X0)
| ~ aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f262,definition,
! [X0] :
( sQ22_spl
<=> ( aElementOf0(xx,X0)
| X0 != slcrc0 ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f263,plain,
! [X0] :
( ~ sQ22_spl
| aElementOf0(xx,X0)
| X0 != slcrc0 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f279,definition,
! [X0] :
( sQ26_spl
<=> ( aSet0(X0)
| X0 != slcrc0 ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f89]) ).
fof(f284,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f116]) ).
fof(f286,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f90]) ).
fof(f288,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f287]) ).
fof(f289,plain,
! [X0] :
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElement0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f290,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = slcrc0
| aElement0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx))) ),
inference(resolution,[status(thm)],[f100,f38]) ).
fof(f291,definition,
! [X0] :
( sQ27_spl
<=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElement0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f294,definition,
( sQ28_spl
<=> aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( sQ28_spl
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( ~ sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f289,f291,f294]) ).
fof(f298,definition,
( sQ29_spl
<=> aElement0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f301,definition,
( sQ30_spl
<=> sdtmndt0(sdtpldt0(xS,xx),xx) = slcrc0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ30_spl
| sdtmndt0(sdtpldt0(xS,xx),xx) = slcrc0 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( ~ sQ28_spl
| sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f290,f298,f301,f294]) ).
fof(f305,plain,
! [X0,X1,X2] :
( aSet0(sdtpldt0(sdtmndt0(sdtmndt0(X0,X1),X2),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f81]) ).
fof(f306,plain,
! [X0] :
( ~ isCountable0(sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f87,f155]) ).
fof(f307,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f87,f37]) ).
fof(f308,plain,
! [X0] :
( aSet0(sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f87,f36]) ).
fof(f309,plain,
! [X0,X1,X2] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X2),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f112]) ).
fof(f310,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X2),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f174]) ).
fof(f311,plain,
! [X0,X1,X2,X3] :
( X3 = X1
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X2),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f68]) ).
fof(f312,plain,
! [X0,X1,X2,X3] :
( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X2),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f67]) ).
fof(f313,plain,
! [X0,X1,X2] :
( aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X2),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f66]) ).
fof(f315,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,sdtmndt0(X0,X1))
| aElementOf0(X2,X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f87,f174]) ).
fof(f316,plain,
! [X0,X1,X2] :
( X2 = X1
| aElementOf0(X2,sdtmndt0(X0,X1))
| ~ aElementOf0(X2,X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f87,f68]) ).
fof(f319,plain,
! [X0,X1,X2] :
( aSet0(sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f173]) ).
fof(f320,definition,
! [X0] :
( sQ31_spl
<=> ( ~ isCountable0(sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ31_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f306,f146,f320]) ).
fof(f324,definition,
! [X0,X1] :
( sQ32_spl
<=> ( ~ aElementOf0(X1,sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ32_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f307,f146,f324]) ).
fof(f328,definition,
! [X0] :
( sQ33_spl
<=> ( aSet0(sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ33_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f308,f146,f328]) ).
fof(f332,plain,
! [X0,X1,X2] :
( aElementOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f114]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f310,f114]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f114]) ).
fof(f335,plain,
! [X0,X1,X2,X3] :
( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f114]) ).
fof(f336,plain,
! [X0,X1,X2] :
( aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f313,f114]) ).
fof(f337,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,sdtmndt0(X0,X1))
| aElementOf0(X2,X0)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f173]) ).
fof(f338,plain,
! [X0,X1,X2] :
( X2 = X1
| aElementOf0(X2,sdtmndt0(X0,X1))
| ~ aElementOf0(X2,X0)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f173]) ).
fof(f339,plain,
! [X0] :
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElementOf0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0),sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f101,f52]) ).
fof(f340,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = slcrc0
| aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f101,f38]) ).
fof(f341,definition,
! [X0] :
( sQ34_spl
<=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElementOf0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0),sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f342,plain,
! [X0] :
( ~ sQ34_spl
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0)
| aElementOf0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0),sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( ~ sQ28_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f339,f341,f294]) ).
fof(f345,definition,
( sQ35_spl
<=> aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ35_spl
| aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( ~ sQ28_spl
| sQ30_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f340,f345,f301,f294]) ).
fof(f357,plain,
! [X0,X1] :
( X1 = X0
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f50]) ).
fof(f359,plain,
! [X0,X1,X2] :
( aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f50]) ).
fof(f367,plain,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(equality_resolution,[status(thm)],[f102]) ).
fof(f379,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElement0(X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f140,f176]) ).
fof(f382,definition,
! [X0] :
( sQ38_spl
<=> ( ~ aSet0(X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f383,plain,
! [X0] :
( ~ sQ38_spl
| ~ aSet0(X0)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
! [X1] :
( sQ39_spl
<=> ( ~ aElement0(X1)
| aElement0(X1)
| ~ aElement0(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f379,f382,f385]) ).
fof(f389,plain,
! [X0] :
( ~ sQ38_spl
| ~ aSet0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f383]) ).
fof(f391,plain,
( ~ sQ38_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f99,f389]) ).
fof(f394,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f398,plain,
! [X0,X1] :
( sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| ~ aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| ~ aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f71,f103]) ).
fof(f399,plain,
! [X0,X1] :
( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| ~ aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f71,f97]) ).
fof(f400,definition,
! [X0,X1] :
( sQ40_spl
<=> ( sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| ~ aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| ~ aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f401,plain,
! [X0,X1] :
( ~ sQ40_spl
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| ~ aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| ~ aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( ~ sQ28_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f398,f400,f294]) ).
fof(f404,definition,
! [X0,X1] :
( sQ41_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| ~ aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f405,plain,
! [X0,X1] :
( ~ sQ41_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| ~ aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( ~ sQ1_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f399,f404,f122]) ).
fof(f408,plain,
! [X0,X1] :
( ~ sQ41_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f405]) ).
fof(f410,plain,
! [X0,X1] :
( aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f73,f101]) ).
fof(f411,plain,
! [X0,X1] :
( aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f73,f100]) ).
fof(f412,plain,
! [X0,X1] :
( aElement0(sK2_skl(slcrc0,X1,X0))
| ~ aSet0(slcrc0)
| slcrc0 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f73,f116]) ).
fof(f413,definition,
! [X0,X1] :
( sQ42_spl
<=> ( aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ28_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f410,f413,f294]) ).
fof(f417,definition,
! [X0,X1] :
( sQ43_spl
<=> ( aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ28_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f411,f417,f294]) ).
fof(f421,definition,
! [X0,X1] :
( sQ44_spl
<=> ( aElement0(sK2_skl(slcrc0,X1,X0))
| slcrc0 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ6_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f412,f421,f146]) ).
fof(f433,plain,
! [X0,X1,X2] :
( sK2_skl(X2,X1,X0) != X1
| ~ aElementOf0(sK2_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f72,f29]) ).
fof(f434,plain,
! [X0,X1,X2] :
( ~ aElementOf0(sK2_skl(X2,X1,X0),X0)
| ~ aElementOf0(sK2_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f71,f29]) ).
fof(f435,plain,
! [X0] :
( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f29,f103]) ).
fof(f437,definition,
! [X0] :
( sQ46_spl
<=> ( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( sQ46_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f435,f294,f437]) ).
fof(f443,plain,
! [X0] :
( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(backward_subsumption_resolution,[status(thm)],[f103,f95]) ).
fof(f448,plain,
! [X0,X1] :
( aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f74,f95]) ).
fof(f449,plain,
! [X0,X1] :
( sK2_skl(sdtpldt0(xS,xx),X1,X0) = xx
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f74,f96]) ).
fof(f450,plain,
! [X0,X1] :
( aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f74,f101]) ).
fof(f452,plain,
! [X0,X1] :
( sK2_skl(slcrc0,X1,X0) = X1
| aElementOf0(sK2_skl(slcrc0,X1,X0),X0)
| ~ aSet0(slcrc0)
| slcrc0 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f74,f116]) ).
fof(f454,definition,
! [X0,X1] :
( sQ47_spl
<=> ( aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f455,plain,
! [X0,X1] :
( ~ sQ47_spl
| aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( ~ sQ1_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f448,f454,f122]) ).
fof(f458,definition,
! [X0,X1] :
( sQ48_spl
<=> ( sK2_skl(sdtpldt0(xS,xx),X1,X0) = xx
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f459,plain,
! [X0,X1] :
( ~ sQ48_spl
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = xx
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( ~ sQ1_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f449,f458,f122]) ).
fof(f462,definition,
! [X0,X1] :
( sQ49_spl
<=> ( aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f463,plain,
! [X0,X1] :
( ~ sQ49_spl
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( ~ sQ28_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f450,f462,f294]) ).
fof(f466,definition,
! [X0,X1] :
( sQ50_spl
<=> ( aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f470,definition,
! [X0,X1] :
( sQ51_spl
<=> ( sK2_skl(slcrc0,X1,X0) = X1
| aElementOf0(sK2_skl(slcrc0,X1,X0),X0)
| slcrc0 = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ6_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f452,f470,f146]) ).
fof(f476,plain,
! [X0,X1] :
( ~ sQ47_spl
| aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f29]) ).
fof(f477,plain,
! [X0,X1,X2] :
( sP0_prd(X2,X1,X0)
| ~ aElementOf0(X2,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[status(thm)],[f82]) ).
fof(f478,plain,
! [X0,X1,X2] :
( ~ sP0_prd(X2,X1,X0)
| aElementOf0(X2,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[status(thm)],[f83]) ).
fof(f482,definition,
! [X0] :
( sQ52_spl
<=> ( aElement0(X0)
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f486,plain,
! [X0,X1,X2,X3] :
( ~ sP0_prd(X3,X1,X0)
| aElementOf0(X3,sdtpldt0(sdtmndt0(sdtmndt0(X0,X1),X2),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f83]) ).
fof(f487,plain,
! [X0,X1,X2,X3] :
( sP0_prd(X3,X1,X0)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtmndt0(X0,X1),X2),X2))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f82]) ).
fof(f493,plain,
! [X0,X1,X2,X3] :
( ~ sP0_prd(X3,X2,X1)
| aElementOf0(X3,sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f173]) ).
fof(f494,plain,
! [X0,X1,X2,X3] :
( sP0_prd(X3,X2,X1)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f173]) ).
fof(f511,plain,
! [X0,X1,X2] :
( aElementOf0(sK3_skl(X2,X1,X0),X0)
| aElementOf0(sK3_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f85,f108]) ).
fof(f514,plain,
! [X0,X1,X2] :
( ~ aElementOf0(sK3_skl(X0,X1,X2),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| sK3_skl(X0,X1,X2) = X1
| ~ aElementOf0(sK3_skl(X0,X1,X2),X2)
| ~ aElement0(sK3_skl(X0,X1,X2)) ),
inference(resolution,[status(thm)],[f110,f84]) ).
fof(f518,plain,
! [X0,X1,X2] :
( ~ aElementOf0(sK3_skl(X0,X1,X2),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| sK3_skl(X0,X1,X2) = X1
| ~ aElementOf0(sK3_skl(X0,X1,X2),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f29]) ).
fof(f542,plain,
! [X0,X1,X2] :
( aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f50]) ).
fof(f545,plain,
! [X0] :
( sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f53,f443]) ).
fof(f547,definition,
! [X0] :
( sQ54_spl
<=> ( sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f548,plain,
! [X0] :
( ~ sQ54_spl
| sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( sQ54_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f545,f294,f547]) ).
fof(f552,plain,
( ~ sQ15_spl
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),xS)
| ~ aSet0(xS)
| sK1_skl(sdtpldt0(xS,xx),xS) = xx
| aSubsetOf0(sdtpldt0(xS,xx),xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f203,f53]) ).
fof(f553,plain,
! [X0] :
( ~ sQ15_spl
| aElement0(sK1_skl(sdtpldt0(xS,xx),X0))
| ~ aSet0(xS)
| sK1_skl(sdtpldt0(xS,xx),X0) = xx
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f203,f29]) ).
fof(f554,definition,
( sQ55_spl
<=> aSubsetOf0(sdtpldt0(xS,xx),xS) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ55_spl
| aSubsetOf0(sdtpldt0(xS,xx),xS) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,definition,
( sQ56_spl
<=> sK1_skl(sdtpldt0(xS,xx),xS) = xx ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| sQ56_spl
| sQ55_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f552,f180,f554,f557,f122,f202]) ).
fof(f561,definition,
! [X0] :
( sQ57_spl
<=> ( aElement0(sK1_skl(sdtpldt0(xS,xx),X0))
| sK1_skl(sdtpldt0(xS,xx),X0) = xx
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f553,f561,f180,f202]) ).
fof(f568,plain,
( ~ sQ55_spl
| sdtpldt0(xS,xx) = xS
| ~ aSubsetOf0(xS,sdtpldt0(xS,xx))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f555,f357]) ).
fof(f577,definition,
! [X0] :
( sQ60_spl
<=> ( aSubsetOf0(X0,xS)
| ~ aSubsetOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f578,plain,
! [X0] :
( ~ sQ60_spl
| aSubsetOf0(X0,xS)
| ~ aSubsetOf0(X0,sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f585,definition,
( sQ62_spl
<=> aSubsetOf0(xS,sdtpldt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ62_spl
| aSubsetOf0(xS,sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ63_spl
<=> sdtpldt0(xS,xx) = xS ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ63_spl
| sdtpldt0(xS,xx) = xS ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( ~ sQ55_spl
| sQ63_spl
| ~ sQ62_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f568,f180,f585,f588,f554]) ).
fof(f593,plain,
( ~ sQ60_spl
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),xS) ),
inference(resolution,[status(thm)],[f578,f57]) ).
fof(f594,plain,
( ~ sQ60_spl
| ~ sQ1_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f593,f554,f122,f577]) ).
fof(f605,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtpldt0(X0,X1),X2,X3) = X2
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,X3),X3)
| ~ aSet0(sdtpldt0(X0,X1))
| sdtpldt0(X0,X1) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| aElement0(sK2_skl(sdtpldt0(X0,X1),X2,X3))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f140,f74]) ).
fof(f609,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtpldt0(X0,X1),X2,X3) = X2
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,X3),X3)
| sdtpldt0(X0,X1) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| aElement0(sK2_skl(sdtpldt0(X0,X1),X2,X3))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f605,f114]) ).
fof(f612,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f175,f53]) ).
fof(f613,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,xS)
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f175,f95]) ).
fof(f615,plain,
! [X0,X1,X2] :
( aElement0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X2,X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f175,f140]) ).
fof(f617,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f114]) ).
fof(f618,definition,
! [X0] :
( sQ64_spl
<=> ( aElement0(X0)
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f619,plain,
! [X0] :
( ~ sQ64_spl
| aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( sQ64_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f613,f180,f169,f618]) ).
fof(f622,definition,
! [X0] :
( sQ65_spl
<=> ( X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f626,definition,
! [X0,X2] :
( sQ66_spl
<=> ( aElement0(X2)
| ~ aSet0(X0)
| ~ aElementOf0(X2,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f629,definition,
! [X1] :
( sQ67_spl
<=> ( ~ aElement0(X1)
| ~ aElement0(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f630,plain,
! [X0] :
( ~ sQ67_spl
| ~ aElement0(X0)
| ~ aElement0(X0) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f615,f626,f629]) ).
fof(f662,plain,
! [X0] :
( ~ sQ64_spl
| ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(backward_subsumption_resolution,[status(thm)],[f97,f619]) ).
fof(f664,plain,
! [X0] :
( ~ sQ64_spl
| ~ aSet0(xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElement0(sK1_skl(xS,X0)) ),
inference(resolution,[status(thm)],[f619,f52]) ).
fof(f667,plain,
! [X0,X1] :
( ~ sQ64_spl
| sK2_skl(xS,X0,X1) = X0
| aElementOf0(sK2_skl(xS,X0,X1),X1)
| ~ aSet0(xS)
| xS = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aSet0(X1)
| aElement0(sK2_skl(xS,X0,X1)) ),
inference(resolution,[status(thm)],[f619,f74]) ).
fof(f668,definition,
! [X0] :
( sQ68_spl
<=> ( aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElement0(sK1_skl(xS,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f664,f668,f180,f618]) ).
fof(f679,definition,
! [X0,X1] :
( sQ71_spl
<=> ( sK2_skl(xS,X0,X1) = X0
| aElementOf0(sK2_skl(xS,X0,X1),X1)
| xS = sdtpldt0(X1,X0)
| ~ aElement0(X0)
| ~ aSet0(X1)
| aElement0(sK2_skl(xS,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f667,f679,f180,f618]) ).
fof(f684,plain,
! [X0] :
( ~ sQ64_spl
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X0,sdtpldt0(xS,xx)),xS) ),
inference(resolution,[status(thm)],[f662,f53]) ).
fof(f689,definition,
! [X0] :
( sQ72_spl
<=> ( ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X0,sdtpldt0(xS,xx)),xS) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f690,plain,
! [X0] :
( ~ sQ72_spl
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X0,sdtpldt0(xS,xx)),xS) ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f684,f689,f122,f618]) ).
fof(f696,plain,
! [X0,X1] :
( sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f434,f443]) ).
fof(f697,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f434,f662]) ).
fof(f698,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sK2_skl(sdtpldt0(X2,X3),X1,X0),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(X2,X3),X1,X0),X0)
| ~ aSet0(sdtpldt0(X2,X3))
| sdtpldt0(X2,X3) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f434,f175]) ).
fof(f699,definition,
! [X0,X1] :
( sQ73_spl
<=> ( sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ28_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f696,f699,f294]) ).
fof(f703,definition,
! [X0,X1] :
( sQ74_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f697,f703,f122,f618]) ).
fof(f707,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sK2_skl(sdtpldt0(X2,X3),X1,X0),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(X2,X3),X1,X0),X0)
| sdtpldt0(X2,X3) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f114]) ).
fof(f710,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP0_prd(X0,xx,sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f478,f101]) ).
fof(f711,plain,
! [X0] :
( aElement0(X0)
| ~ sP0_prd(X0,xx,sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f478,f100]) ).
fof(f715,definition,
! [X0] :
( sQ75_spl
<=> ( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP0_prd(X0,xx,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( sQ75_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f710,f122,f169,f715]) ).
fof(f719,definition,
! [X0] :
( sQ76_spl
<=> ( aElement0(X0)
| ~ sP0_prd(X0,xx,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( sQ76_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f711,f122,f169,f719]) ).
fof(f723,plain,
! [X0,X1,X2] :
( ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(sdtpldt0(X0,X1),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(X0,X1),X2) = X1
| aElementOf0(sK1_skl(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f141,f52]) ).
fof(f725,plain,
! [X0,X1] :
( ~ aSet0(sdtpldt0(X0,X1))
| sdtpldt0(X0,X1) = slcrc0
| sK0_skl(sdtpldt0(X0,X1)) = X1
| aElementOf0(sK0_skl(sdtpldt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f141,f38]) ).
fof(f726,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtpldt0(X0,X1),X2,X3) = X2
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,X3),X3)
| ~ aSet0(sdtpldt0(X0,X1))
| sdtpldt0(X0,X1) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| sK2_skl(sdtpldt0(X0,X1),X2,X3) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f141,f74]) ).
fof(f730,plain,
! [X0,X1,X2] :
( aSubsetOf0(sdtpldt0(X0,X1),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(X0,X1),X2) = X1
| aElementOf0(sK1_skl(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f723,f114]) ).
fof(f732,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = slcrc0
| sK0_skl(sdtpldt0(X0,X1)) = X1
| aElementOf0(sK0_skl(sdtpldt0(X0,X1)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f114]) ).
fof(f733,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtpldt0(X0,X1),X2,X3) = X2
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,X3),X3)
| sdtpldt0(X0,X1) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| sK2_skl(sdtpldt0(X0,X1),X2,X3) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,X3),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f114]) ).
fof(f735,plain,
! [X0,X1,X2] :
( X2 = X1
| aElementOf0(X2,sdtmndt0(X0,X1))
| ~ aElementOf0(X2,X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f338,f29]) ).
fof(f736,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,X3),X3)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| sK2_skl(sdtmndt0(X0,X1),X2,X3) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,X3),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f735,f434]) ).
fof(f737,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,sdtmndt0(X0,X1))
| ~ aSet0(sdtmndt0(X0,X1))
| sK1_skl(X2,sdtmndt0(X0,X1)) = X1
| ~ aElementOf0(sK1_skl(X2,sdtmndt0(X0,X1)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f735,f53]) ).
fof(f738,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f735,f101]) ).
fof(f739,plain,
! [X0] :
( aElement0(X0)
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f735,f100]) ).
fof(f741,definition,
! [X0] :
( sQ77_spl
<=> ( aElementOf0(X0,sdtpldt0(xS,xx))
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( sQ77_spl
| ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f738,f122,f166,f741]) ).
fof(f745,plain,
( sQ52_spl
| ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f739,f122,f166,f482]) ).
fof(f749,definition,
( sQ78_spl
<=> aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ78_spl
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f751,plain,
( sQ78_spl
| ~ aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f757,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f296,f99]) ).
fof(f758,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f759,plain,
! [X0,X1] :
( ~ sQ40_spl
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| ~ aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f401]) ).
fof(f760,plain,
! [X0,X1] :
( ~ sQ40_spl
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f95]) ).
fof(f765,plain,
! [X0] :
( ~ sQ62_spl
| aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f586,f542]) ).
fof(f766,plain,
! [X0] :
( ~ sQ62_spl
| aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f586,f51]) ).
fof(f770,definition,
! [X0] :
( sQ80_spl
<=> ( aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f771,plain,
! [X0] :
( ~ sQ80_spl
| aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( ~ sQ62_spl
| sQ80_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f765,f122,f770,f585]) ).
fof(f774,definition,
! [X0] :
( sQ81_spl
<=> ( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ62_spl
| sQ81_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f766,f122,f774,f585]) ).
fof(f808,plain,
( ~ sQ9_spl
| ~ sQ63_spl
| aElementOf0(xx,xS) ),
inference(backward_demodulation,[status(thm)],[f589,f167]) ).
fof(f841,plain,
( ~ sQ9_spl
| ~ sQ63_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f808,f183,f588,f166]) ).
fof(f941,plain,
! [X0,X1] :
( ~ sQ80_spl
| aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f771,f542]) ).
fof(f942,plain,
! [X0,X1] :
( ~ sQ80_spl
| aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f771,f51]) ).
fof(f943,plain,
! [X0] :
( ~ sQ80_spl
| X0 = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f771,f357]) ).
fof(f949,definition,
! [X0,X1] :
( sQ91_spl
<=> ( aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f950,plain,
! [X0,X1] :
( ~ sQ91_spl
| aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f952,plain,
( ~ sQ80_spl
| ~ sQ1_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f941,f949,f122,f770]) ).
fof(f953,definition,
! [X0,X1] :
( sQ92_spl
<=> ( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f954,plain,
! [X0,X1] :
( ~ sQ92_spl
| aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( ~ sQ80_spl
| ~ sQ1_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f942,f953,f122,f770]) ).
fof(f957,definition,
! [X0] :
( sQ93_spl
<=> ( X0 = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( ~ sQ80_spl
| ~ sQ1_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f943,f957,f122,f770]) ).
fof(f961,definition,
! [X0] :
( sQ94_spl
<=> ( aSet0(X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f967,plain,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(equality_resolution,[status(thm)],[f102]) ).
fof(f997,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| aSubsetOf0(X2,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f950,f542]) ).
fof(f998,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(X2,X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f950,f51]) ).
fof(f999,plain,
! [X0,X1] :
( ~ sQ91_spl
| X1 = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f950,f357]) ).
fof(f1005,definition,
! [X0,X1,X2] :
( sQ96_spl
<=> ( aSubsetOf0(X2,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| aSubsetOf0(X2,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( ~ sQ91_spl
| ~ sQ1_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f997,f1005,f122,f949]) ).
fof(f1009,definition,
! [X0,X1,X2] :
( sQ97_spl
<=> ( aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,plain,
( ~ sQ91_spl
| ~ sQ1_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f998,f1009,f122,f949]) ).
fof(f1013,definition,
! [X0,X1] :
( sQ98_spl
<=> ( X1 = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ91_spl
| ~ sQ1_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f999,f1013,f122,f949]) ).
fof(f1017,definition,
! [X0,X1] :
( sQ99_spl
<=> ( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1018,plain,
! [X0,X1] :
( ~ sQ99_spl
| aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ99_spl
| ~ aSet0(xS)
| aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1018,f57]) ).
fof(f1026,plain,
( ~ sQ99_spl
| ~ sQ11_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1025,f961,f180,f1017]) ).
fof(f1027,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X2),X2)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X2),X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f954,f434]) ).
fof(f1028,plain,
! [X0,X1] :
( ~ sQ92_spl
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(xS,xx)),X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f954,f53]) ).
fof(f1029,plain,
! [X0,X1] :
( ~ sQ92_spl
| X1 = xx
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f954,f96]) ).
fof(f1034,definition,
! [X0,X1,X2] :
( sQ100_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X2),X2)
| sdtpldt0(xS,xx) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X2),X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1027,f1034,f122,f953]) ).
fof(f1038,definition,
! [X0,X1] :
( sQ101_spl
<=> ( ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(xS,xx)),X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1028,f1038,f122,f953]) ).
fof(f1042,definition,
! [X0,X1] :
( sQ102_spl
<=> ( X1 = xx
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1046,definition,
! [X0,X1] :
( sQ103_spl
<=> ( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
! [X0,X1,X2,X3,X4] :
( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4),X4)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(X4,X3)
| ~ aElement0(X3)
| ~ aSet0(X4)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f333,f434]) ).
fof(f1054,plain,
! [X0,X1,X2,X3] :
( ~ aSet0(X3)
| aSubsetOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| ~ aElementOf0(sK1_skl(X3,sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f333,f53]) ).
fof(f1055,plain,
! [X0,X1,X2,X3] :
( X3 = X0
| aElementOf0(X3,sdtmndt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(X1,X2),X0))
| ~ aElementOf0(X3,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f333,f141]) ).
fof(f1058,plain,
! [X0,X1,X2,X3] :
( X3 = X0
| aElementOf0(X3,sdtmndt0(sdtpldt0(X1,X2),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(X1,X2),X0))
| ~ aElementOf0(X3,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1055,f140]) ).
fof(f1059,plain,
! [X0,X1,X2,X3] :
( ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3)
| ~ aSet0(X3)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3) = X2
| aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f334,f52]) ).
fof(f1060,plain,
! [X0,X1,X2] :
( ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0)) = X2
| aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f334,f38]) ).
fof(f1061,plain,
! [X0,X1,X2,X3,X4] :
( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4) = X3
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4),X4)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(X4,X3)
| ~ aElement0(X3)
| ~ aSet0(X4)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f334,f74]) ).
fof(f1064,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(X1,X2),X0))
| X3 = X2
| aElementOf0(X3,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f334,f175]) ).
fof(f1066,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtpldt0(X1,X2),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(X1,X2),X0))
| X3 = X2
| aElementOf0(X3,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f140]) ).
fof(f1075,plain,
( xx = xx
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f367,f443]) ).
fof(f1077,plain,
( ~ sP0_prd(xx,xx,sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f367,f478]) ).
fof(f1078,plain,
( sQ13_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1075,f166,f186]) ).
fof(f1080,definition,
( sQ104_spl
<=> sP0_prd(xx,xx,sdtpldt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ104_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1077,f122,f169,f1080]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ92_spl
| ~ aSet0(xS)
| X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1029,f57]) ).
fof(f1085,plain,
( ~ sQ92_spl
| ~ sQ11_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1084,f622,f180,f953]) ).
fof(f1086,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,sdtmndt0(X0,X1))
| aElementOf0(X2,X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f29]) ).
fof(f1087,plain,
! [X0,X1,X2] :
( ~ aSet0(sdtmndt0(X0,X1))
| aSubsetOf0(sdtmndt0(X0,X1),X2)
| ~ aSet0(X2)
| aElementOf0(sK1_skl(sdtmndt0(X0,X1),X2),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1086,f52]) ).
fof(f1088,plain,
! [X0,X1] :
( ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = slcrc0
| aElementOf0(sK0_skl(sdtmndt0(X0,X1)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1086,f38]) ).
fof(f1089,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtmndt0(X0,X1),X2,X3) = X2
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,X3),X3)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,X3),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1086,f74]) ).
fof(f1096,plain,
! [X0,X1,X2,X3] :
( ~ sQ96_spl
| aSubsetOf0(X3,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X3,X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1006,f542]) ).
fof(f1097,plain,
! [X0,X1,X2,X3] :
( ~ sQ96_spl
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1006,f51]) ).
fof(f1098,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| X2 = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1006,f357]) ).
fof(f1104,definition,
! [X0,X1,X2,X3] :
( sQ106_spl
<=> ( aSubsetOf0(X3,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
! [X0,X1,X2,X3] :
( ~ sQ106_spl
| aSubsetOf0(X3,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1107,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1096,f1104,f122,f1005]) ).
fof(f1108,definition,
! [X0,X1,X2,X3] :
( sQ107_spl
<=> ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1097,f1108,f122,f1005]) ).
fof(f1112,definition,
! [X0,X1,X2] :
( sQ108_spl
<=> ( X2 = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1098,f1112,f122,f1005]) ).
fof(f1116,definition,
! [X0,X1,X2] :
( sQ109_spl
<=> ( aSet0(X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| aSet0(X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1120,plain,
! [X0,X1] :
( ~ sQ109_spl
| ~ aSet0(xS)
| aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1117,f57]) ).
fof(f1121,plain,
( ~ sQ109_spl
| ~ sQ11_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1120,f1017,f180,f1116]) ).
fof(f1122,plain,
! [X0,X1,X2,X3] :
( ~ sQ97_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X2,X3),X3)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X2,X3),X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1010,f434]) ).
fof(f1123,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(xS,xx)),X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1010,f53]) ).
fof(f1124,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| X2 = xx
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1010,f96]) ).
fof(f1125,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| aElement0(X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1010,f95]) ).
fof(f1126,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| X2 = xx
| aElementOf0(X2,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1010,f141]) ).
fof(f1129,definition,
! [X0,X1,X2,X3] :
( sQ110_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X2,X3),X3)
| sdtpldt0(xS,xx) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X2,X3),X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1122,f1129,f122,f1009]) ).
fof(f1133,definition,
! [X0,X1,X2] :
( sQ111_spl
<=> ( ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(xS,xx)),X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1123,f1133,f122,f1009]) ).
fof(f1137,definition,
! [X0,X1,X2] :
( sQ112_spl
<=> ( X2 = xx
| aElementOf0(X2,xS)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ97_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1126,f1137,f180,f169,f1009]) ).
fof(f1141,definition,
! [X0,X1,X2] :
( sQ113_spl
<=> ( aElement0(X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ sQ41_spl
| ~ sQ64_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),xS)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f619]) ).
fof(f1147,plain,
! [X0,X1] :
( ~ sQ97_spl
| ~ aSet0(xS)
| aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1125,f57]) ).
fof(f1148,plain,
( ~ sQ97_spl
| ~ sQ11_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f1147,f1046,f180,f1009]) ).
fof(f1149,plain,
! [X0,X1] :
( ~ sQ47_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0)
| aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f476,f433]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ47_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),xx,X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(sK2_skl(sdtpldt0(xS,xx),xx,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,xx)
| ~ aElement0(xx)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f476,f102]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ47_spl
| ~ aElement0(sK2_skl(sdtpldt0(xS,xx),xx,X0))
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),xx,X0),sdtpldt0(xS,xx))
| aElement0(sK2_skl(sdtpldt0(xS,xx),xx,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,xx)
| ~ aElement0(xx)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f476,f98]) ).
fof(f1163,definition,
! [X0,X1] :
( sQ114_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0)
| aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( ~ sQ47_spl
| ~ sQ1_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1149,f1163,f122,f454]) ).
fof(f1167,definition,
! [X0] :
( sQ115_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),xx,X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(sK2_skl(sdtpldt0(xS,xx),xx,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,xx)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1170,plain,
( ~ sQ47_spl
| ~ sQ10_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f1150,f1167,f169,f454]) ).
fof(f1171,definition,
! [X0] :
( sQ116_spl
<=> ( ~ aElement0(sK2_skl(sdtpldt0(xS,xx),xx,X0))
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),xx,X0),sdtpldt0(xS,xx))
| aElement0(sK2_skl(sdtpldt0(xS,xx),xx,X0))
| sdtpldt0(xS,xx) = sdtpldt0(X0,xx)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( ~ sQ47_spl
| ~ sQ10_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1151,f1171,f169,f454]) ).
fof(f1191,plain,
! [X0,X1] :
( ~ sQ97_spl
| ~ aSet0(xS)
| X1 = xx
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1124,f57]) ).
fof(f1192,plain,
( ~ sQ97_spl
| ~ sQ11_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1191,f1042,f180,f1009]) ).
fof(f1195,plain,
! [X0,X1] :
( ~ sQ48_spl
| aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| ~ aSet0(xS)
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = xx
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f459,f29]) ).
fof(f1196,definition,
! [X0,X1] :
( sQ121_spl
<=> ( aElement0(sK2_skl(sdtpldt0(xS,xx),X1,X0))
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = xx
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( ~ sQ48_spl
| ~ sQ11_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1195,f1196,f180,f458]) ).
fof(f1200,plain,
! [X0,X1,X2,X3,X4] :
( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0),X3,X4),X4)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0))
| sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0) = sdtpldt0(X4,X3)
| ~ aElement0(X3)
| ~ aSet0(X4)
| ~ sP0_prd(sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0),X3,X4),X2,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(resolution,[status(thm)],[f493,f434]) ).
fof(f1201,plain,
! [X0,X1,X2,X3] :
( ~ aSet0(X3)
| aSubsetOf0(X3,sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0))
| ~ sP0_prd(sK1_skl(X3,sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0)),X2,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(resolution,[status(thm)],[f493,f53]) ).
fof(f1205,plain,
! [X0,X1,X2,X3,X4] :
( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0),X3,X4),X4)
| sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0) = sdtpldt0(X4,X3)
| ~ aElement0(X3)
| ~ aSet0(X4)
| ~ sP0_prd(sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0),X3,X4),X2,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1200,f319]) ).
fof(f1206,plain,
! [X0,X1,X2,X3] :
( ~ aSet0(X3)
| aSubsetOf0(X3,sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0))
| ~ sP0_prd(sK1_skl(X3,sdtpldt0(sdtmndt0(sdtmndt0(X1,X2),X0),X0)),X2,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1201,f319]) ).
fof(f1210,plain,
! [X0] :
( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| sP0_prd(X0,xx,sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f477,f443]) ).
fof(f1216,definition,
! [X0] :
( sQ122_spl
<=> ( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| sP0_prd(X0,xx,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ122_spl
| X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| sP0_prd(X0,xx,sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,plain,
( sQ122_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1210,f122,f169,f1216]) ).
fof(f1232,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ106_spl
| aSubsetOf0(X4,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X4,X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1105,f542]) ).
fof(f1233,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ106_spl
| aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElementOf0(X4,X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1105,f51]) ).
fof(f1234,plain,
! [X0,X1,X2,X3] :
( ~ sQ106_spl
| X3 = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1105,f357]) ).
fof(f1235,plain,
! [X0,X1,X2,X3] :
( ~ sQ106_spl
| aSet0(X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1105,f50]) ).
fof(f1240,definition,
! [X0,X1,X2,X3,X4] :
( sQ124_spl
<=> ( aSubsetOf0(X4,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( ~ sQ106_spl
| ~ sQ1_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1232,f1240,f122,f1104]) ).
fof(f1244,definition,
! [X0,X1,X2,X3,X4] :
( sQ125_spl
<=> ( aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1245,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ125_spl
| aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1247,plain,
( ~ sQ106_spl
| ~ sQ1_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1233,f1244,f122,f1104]) ).
fof(f1248,definition,
! [X0,X1,X2,X3] :
( sQ126_spl
<=> ( X3 = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1251,plain,
( ~ sQ106_spl
| ~ sQ1_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1234,f1248,f122,f1104]) ).
fof(f1252,definition,
! [X0,X1,X2,X3] :
( sQ127_spl
<=> ( aSet0(X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
! [X0,X1,X2,X3] :
( ~ sQ127_spl
| aSet0(X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f1252]) ).
fof(f1255,plain,
( ~ sQ106_spl
| ~ sQ1_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1235,f1252,f122,f1104]) ).
fof(f1256,plain,
( ~ sQ72_spl
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f690,f52]) ).
fof(f1257,plain,
( ~ sQ72_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1256,f585,f180,f122,f689]) ).
fof(f1258,plain,
! [X0,X1,X2] :
( ~ sQ127_spl
| ~ aSet0(xS)
| aSet0(X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1253,f57]) ).
fof(f1259,plain,
( ~ sQ127_spl
| ~ sQ11_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1258,f1116,f180,f1252]) ).
fof(f1260,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X3,X4),X4)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X4,X3)
| ~ aElement0(X3)
| ~ aSet0(X4)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X3,X4),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1109,f434]) ).
fof(f1261,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ aSet0(X3)
| aSubsetOf0(X3,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X3,sdtpldt0(xS,xx)),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1109,f53]) ).
fof(f1263,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| aElement0(X3)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1109,f95]) ).
fof(f1264,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| X3 = xx
| aElementOf0(X3,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1109,f141]) ).
fof(f1267,definition,
! [X0,X1,X2,X3,X4] :
( sQ128_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X3,X4),X4)
| sdtpldt0(xS,xx) = sdtpldt0(X4,X3)
| ~ aElement0(X3)
| ~ aSet0(X4)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X3,X4),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1260,f1267,f122,f1108]) ).
fof(f1271,definition,
! [X0,X1,X2,X3] :
( sQ129_spl
<=> ( ~ aSet0(X3)
| aSubsetOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X3,sdtpldt0(xS,xx)),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1261,f1271,f122,f1108]) ).
fof(f1275,definition,
! [X0,X1,X2,X3] :
( sQ130_spl
<=> ( X3 = xx
| aElementOf0(X3,xS)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1278,plain,
( ~ sQ107_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1264,f1275,f180,f169,f1108]) ).
fof(f1279,definition,
! [X0,X1,X2,X3] :
( sQ131_spl
<=> ( aElement0(X3)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
! [X0,X1,X2,X3] :
( sK3_skl(X0,X1,sdtmndt0(X2,X3)) = X3
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(X2,X3)),X2)
| ~ aElementOf0(X3,X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(X2,X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(X2,X3),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X2,X3))
| sK3_skl(X0,X1,sdtmndt0(X2,X3)) = X1 ),
inference(resolution,[status(thm)],[f518,f735]) ).
fof(f1286,plain,
! [X0,X1,X2,X3] :
( ~ sP0_prd(sK3_skl(X0,X1,sdtmndt0(X2,X3)),X3,X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(X2,X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(X2,X3),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X2,X3))
| sK3_skl(X0,X1,sdtmndt0(X2,X3)) = X1 ),
inference(resolution,[status(thm)],[f518,f478]) ).
fof(f1287,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP0_prd(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4)),X3,X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X4,sdtmndt0(X2,X3))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4))
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4)) = X1 ),
inference(resolution,[status(thm)],[f518,f493]) ).
fof(f1288,plain,
! [X0,X1,X2,X3,X4] :
( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X4,sdtpldt0(X2,X3))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4))
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4)) = X1 ),
inference(resolution,[status(thm)],[f518,f333]) ).
fof(f1289,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ),
inference(resolution,[status(thm)],[f518,f1109]) ).
fof(f1290,plain,
! [X0,X1,X2,X3] :
( ~ sQ97_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ),
inference(resolution,[status(thm)],[f518,f1010]) ).
fof(f1291,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ),
inference(resolution,[status(thm)],[f518,f954]) ).
fof(f1292,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ),
inference(resolution,[status(thm)],[f518,f662]) ).
fof(f1293,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(X2,X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(X2,X3),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X2,X3))
| sK3_skl(X0,X1,sdtpldt0(X2,X3)) = X1 ),
inference(resolution,[status(thm)],[f518,f175]) ).
fof(f1294,definition,
! [X0,X1] :
( sQ132_spl
<=> ( sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
! [X0,X1] :
( ~ sQ132_spl
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1 ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1298,plain,
! [X0,X1,X2,X3] :
( ~ sP0_prd(sK3_skl(X0,X1,sdtmndt0(X2,X3)),X3,X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(X2,X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(X2,X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtmndt0(X2,X3)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1286,f173]) ).
fof(f1299,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP0_prd(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4)),X3,X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X4,sdtmndt0(X2,X3))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(X2,X3),X4),X4)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1287,f319]) ).
fof(f1300,plain,
! [X0,X1,X2,X3,X4] :
( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X4,sdtpldt0(X2,X3))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1288,f336]) ).
fof(f1301,definition,
! [X0,X1,X2,X3,X4] :
( sQ133_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1289,f1301,f122,f1108]) ).
fof(f1305,definition,
! [X0,X1,X2,X3] :
( sQ134_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1290,f1305,f122,f1009]) ).
fof(f1309,definition,
! [X0,X1,X2] :
( sQ135_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1312,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1291,f1309,f122,f953]) ).
fof(f1313,definition,
! [X0,X1] :
( sQ136_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
! [X0,X1] :
( ~ sQ136_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),xS)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(xS,xx)) = X1 ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1292,f1313,f122,f618]) ).
fof(f1317,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(X2,X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(X2,X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(X2,X3)) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1293,f114]) ).
fof(f1318,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ aSet0(xS)
| aElement0(X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1263,f57]) ).
fof(f1319,plain,
( ~ sQ107_spl
| ~ sQ11_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1318,f1141,f180,f1108]) ).
fof(f1321,plain,
! [X0,X1] :
( aElement0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f100]) ).
fof(f1322,plain,
! [X0,X1] :
( aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f101]) ).
fof(f1324,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK3_skl(sdtmndt0(X2,X3),X1,X0),X2)
| ~ aElementOf0(X3,X2)
| ~ aSet0(X2)
| aElementOf0(sK3_skl(sdtmndt0(X2,X3),X1,X0),X0)
| ~ aSet0(sdtmndt0(X2,X3))
| sdtmndt0(X2,X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f1086]) ).
fof(f1325,plain,
! [X0,X1] :
( ~ sQ64_spl
| aElement0(sK3_skl(xS,X1,X0))
| aElementOf0(sK3_skl(xS,X1,X0),X0)
| ~ aSet0(xS)
| xS = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f619]) ).
fof(f1328,plain,
! [X0,X1,X2,X3,X4] :
( sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4),X1,X0) = X3
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4),X1,X0),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X4,sdtpldt0(X2,X3))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4),X1,X0),X0)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4))
| sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f334]) ).
fof(f1329,plain,
! [X0,X1] :
( sK3_skl(sdtpldt0(xS,xx),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),xS)
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f96]) ).
fof(f1330,plain,
! [X0,X1] :
( aElement0(sK3_skl(sdtpldt0(xS,xx),X1,X0))
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),X0)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f95]) ).
fof(f1331,plain,
! [X0,X1,X2,X3] :
( sK3_skl(sdtpldt0(X2,X3),X1,X0) = X3
| aElementOf0(sK3_skl(sdtpldt0(X2,X3),X1,X0),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| aElementOf0(sK3_skl(sdtpldt0(X2,X3),X1,X0),X0)
| ~ aSet0(sdtpldt0(X2,X3))
| sdtpldt0(X2,X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f141]) ).
fof(f1333,plain,
! [X0,X1] :
( aElementOf0(sK3_skl(slcrc0,X1,X0),X0)
| ~ aSet0(slcrc0)
| slcrc0 = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f511,f116]) ).
fof(f1335,definition,
! [X0,X1] :
( sQ137_spl
<=> ( aElement0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1338,plain,
( ~ sQ28_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1321,f1335,f294]) ).
fof(f1339,definition,
! [X0,X1] :
( sQ138_spl
<=> ( aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
! [X0,X1] :
( ~ sQ138_spl
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f1339]) ).
fof(f1342,plain,
( ~ sQ28_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1322,f1339,f294]) ).
fof(f1344,definition,
! [X0,X1] :
( sQ139_spl
<=> ( aElement0(sK3_skl(xS,X1,X0))
| aElementOf0(sK3_skl(xS,X1,X0),X0)
| xS = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1347,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1325,f1344,f180,f618]) ).
fof(f1349,plain,
! [X0,X1,X2,X3,X4] :
( sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4),X1,X0) = X3
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4),X1,X0),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aElementOf0(X4,sdtpldt0(X2,X3))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(X2,X3),X4),X4) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1328,f336]) ).
fof(f1350,definition,
! [X0,X1] :
( sQ140_spl
<=> ( sK3_skl(sdtpldt0(xS,xx),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),xS)
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1351,plain,
! [X0,X1] :
( ~ sQ140_spl
| sK3_skl(sdtpldt0(xS,xx),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),xS)
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1353,plain,
( ~ sQ1_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1329,f1350,f122]) ).
fof(f1354,definition,
! [X0,X1] :
( sQ141_spl
<=> ( aElement0(sK3_skl(sdtpldt0(xS,xx),X1,X0))
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1357,plain,
( ~ sQ1_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1330,f1354,f122]) ).
fof(f1358,plain,
! [X0,X1,X2,X3] :
( sK3_skl(sdtpldt0(X2,X3),X1,X0) = X3
| aElementOf0(sK3_skl(sdtpldt0(X2,X3),X1,X0),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| aElementOf0(sK3_skl(sdtpldt0(X2,X3),X1,X0),X0)
| sdtpldt0(X2,X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1331,f114]) ).
fof(f1359,definition,
! [X0,X1] :
( sQ142_spl
<=> ( aElementOf0(sK3_skl(slcrc0,X1,X0),X0)
| slcrc0 = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( ~ sQ6_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1333,f1359,f146]) ).
fof(f1367,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ125_spl
| ~ aElementOf0(sK3_skl(X4,X5,sdtpldt0(xS,xx)),X4)
| ~ aSet0(X4)
| X4 = sdtmndt0(sdtpldt0(xS,xx),X5)
| ~ aElement0(X5)
| ~ aSet0(sdtpldt0(xS,xx))
| sK3_skl(X4,X5,sdtpldt0(xS,xx)) = X5
| ~ aElementOf0(sK3_skl(X4,X5,sdtpldt0(xS,xx)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1245,f518]) ).
fof(f1368,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ125_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X4,X5),X5)
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtpldt0(X5,X4)
| ~ aElement0(X4)
| ~ aSet0(X5)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X4,X5),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1245,f434]) ).
fof(f1369,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ125_spl
| ~ aSet0(X4)
| aSubsetOf0(X4,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X4,sdtpldt0(xS,xx)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1245,f53]) ).
fof(f1371,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ125_spl
| aElement0(X4)
| ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1245,f95]) ).
fof(f1372,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ125_spl
| X4 = xx
| aElementOf0(X4,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1245,f141]) ).
fof(f1373,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ125_spl
| aElement0(X4)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1245,f140]) ).
fof(f1375,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ143_spl
<=> ( ~ aElementOf0(sK3_skl(X4,X5,sdtpldt0(xS,xx)),X4)
| ~ aSet0(X4)
| X4 = sdtmndt0(sdtpldt0(xS,xx),X5)
| ~ aElement0(X5)
| sK3_skl(X4,X5,sdtpldt0(xS,xx)) = X5
| ~ aElementOf0(sK3_skl(X4,X5,sdtpldt0(xS,xx)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1378,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1367,f1375,f122,f1244]) ).
fof(f1379,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ144_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X4,X5),X5)
| sdtpldt0(xS,xx) = sdtpldt0(X5,X4)
| ~ aElement0(X4)
| ~ aSet0(X5)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X4,X5),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1368,f1379,f122,f1244]) ).
fof(f1383,definition,
! [X0,X1,X2,X3,X4] :
( sQ145_spl
<=> ( ~ aSet0(X4)
| aSubsetOf0(X4,sdtpldt0(xS,xx))
| ~ aElementOf0(sK1_skl(X4,sdtpldt0(xS,xx)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1386,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1369,f1383,f122,f1244]) ).
fof(f1387,definition,
! [X0,X1,X2,X3,X4] :
( sQ146_spl
<=> ( X4 = xx
| aElementOf0(X4,xS)
| ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
( ~ sQ125_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1372,f1387,f180,f169,f1244]) ).
fof(f1391,definition,
! [X0,X1,X2,X3,X4] :
( sQ147_spl
<=> ( aElement0(X4)
| ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( ~ sQ125_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1373,f1391,f180,f169,f1244]) ).
fof(f1396,plain,
! [X0,X1,X2,X3] :
( ~ sQ125_spl
| ~ aSet0(xS)
| aElement0(X3)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[f1371,f57]) ).
fof(f1397,plain,
( ~ sQ125_spl
| ~ sQ11_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1396,f1279,f180,f1244]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ30_spl
| ~ sP0_prd(X0,xx,sdtpldt0(xS,xx))
| aElementOf0(X0,slcrc0)
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f302,f83]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ30_spl
| sP0_prd(X0,xx,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,slcrc0)
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f302,f82]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ30_spl
| aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f335]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ30_spl
| X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f334]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ30_spl
| ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f333]) ).
fof(f1415,plain,
( ~ sQ30_spl
| aElementOf0(xx,sdtpldt0(slcrc0,xx))
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f332]) ).
fof(f1416,plain,
! [X0,X1] :
( ~ sQ30_spl
| sP0_prd(X1,xx,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(paramodulation,[status(thm)],[f302,f494]) ).
fof(f1418,plain,
! [X0,X1] :
( ~ sQ30_spl
| ~ sP0_prd(X1,xx,sdtpldt0(xS,xx))
| aElementOf0(X1,sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(paramodulation,[status(thm)],[f302,f493]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ30_spl
| ~ aElementOf0(X0,slcrc0)
| aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f1086]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ30_spl
| aSet0(sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(paramodulation,[status(thm)],[f302,f319]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ30_spl
| X0 = xx
| aElementOf0(X0,slcrc0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f735]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ30_spl
| aSet0(X0)
| X0 != slcrc0
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f81]) ).
fof(f1424,plain,
( ~ sQ30_spl
| sdtpldt0(slcrc0,xx) = sdtpldt0(xS,xx)
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f87]) ).
fof(f1426,plain,
! [X0,X1] :
( ~ sQ30_spl
| ~ sP0_prd(X1,xx,sdtpldt0(xS,xx))
| aElementOf0(X1,X0)
| X0 != slcrc0
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f83]) ).
fof(f1427,plain,
! [X0,X1] :
( ~ sQ30_spl
| sP0_prd(X1,xx,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,X0)
| X0 != slcrc0
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(paramodulation,[status(thm)],[f302,f82]) ).
fof(f1434,definition,
! [X0] :
( sQ148_spl
<=> ( ~ sP0_prd(X0,xx,sdtpldt0(xS,xx))
| aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1437,plain,
( ~ sQ30_spl
| sQ148_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1409,f122,f169,f1434,f301]) ).
fof(f1438,definition,
! [X0] :
( sQ149_spl
<=> ( sP0_prd(X0,xx,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
( ~ sQ30_spl
| sQ149_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1410,f122,f169,f1438,f301]) ).
fof(f1442,definition,
( sQ150_spl
<=> aSet0(sdtpldt0(slcrc0,xx)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1444,plain,
( sQ150_spl
| ~ aSet0(sdtpldt0(slcrc0,xx)) ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1446,definition,
! [X0] :
( sQ151_spl
<=> ( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(slcrc0,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1449,plain,
( ~ sQ30_spl
| sQ151_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1412,f166,f180,f169,f1446,f301]) ).
fof(f1450,definition,
! [X0] :
( sQ152_spl
<=> ( X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(slcrc0,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1453,plain,
( ~ sQ30_spl
| sQ152_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1413,f166,f180,f169,f1450,f301]) ).
fof(f1454,definition,
! [X0] :
( sQ153_spl
<=> ( ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtpldt0(slcrc0,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
( ~ sQ30_spl
| sQ153_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1414,f166,f180,f169,f1454,f301]) ).
fof(f1458,definition,
( sQ154_spl
<=> aElementOf0(xx,sdtpldt0(slcrc0,xx)) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( ~ sQ30_spl
| sQ154_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1415,f166,f180,f169,f1458,f301]) ).
fof(f1462,definition,
! [X0,X1] :
( sQ155_spl
<=> ( sP0_prd(X1,xx,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( ~ sQ30_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1416,f1462,f122,f169,f301]) ).
fof(f1467,definition,
! [X0,X1] :
( sQ156_spl
<=> ( ~ sP0_prd(X1,xx,sdtpldt0(xS,xx))
| aElementOf0(X1,sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1470,plain,
( ~ sQ30_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1418,f1467,f122,f169,f301]) ).
fof(f1471,definition,
! [X0] :
( sQ157_spl
<=> ( ~ aElementOf0(X0,slcrc0)
| aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( ~ sQ30_spl
| sQ157_spl
| ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1419,f122,f166,f1471,f301]) ).
fof(f1475,definition,
! [X0] :
( sQ158_spl
<=> ( aSet0(sdtpldt0(sdtmndt0(slcrc0,X0),X0))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1478,plain,
( ~ sQ30_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1420,f1475,f122,f169,f301]) ).
fof(f1479,definition,
! [X0] :
( sQ159_spl
<=> ( X0 = xx
| aElementOf0(X0,slcrc0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1482,plain,
( ~ sQ30_spl
| sQ159_spl
| ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1421,f122,f166,f1479,f301]) ).
fof(f1484,plain,
( ~ sQ30_spl
| sQ26_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1423,f122,f169,f279,f301]) ).
fof(f1485,definition,
( sQ160_spl
<=> sdtpldt0(slcrc0,xx) = sdtpldt0(xS,xx) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( ~ sQ30_spl
| sQ160_spl
| ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1424,f122,f166,f1485,f301]) ).
fof(f1490,definition,
! [X0,X1] :
( sQ161_spl
<=> ( ~ sP0_prd(X1,xx,sdtpldt0(xS,xx))
| aElementOf0(X1,X0)
| X0 != slcrc0 ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( ~ sQ30_spl
| sQ161_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1426,f122,f169,f1490,f301]) ).
fof(f1494,definition,
! [X0,X1] :
( sQ162_spl
<=> ( sP0_prd(X1,xx,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,X0)
| X0 != slcrc0 ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1497,plain,
( ~ sQ30_spl
| sQ162_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1427,f122,f169,f1494,f301]) ).
fof(f1498,plain,
( ~ sQ35_spl
| sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)),xS) ),
inference(resolution,[status(thm)],[f346,f96]) ).
fof(f1501,plain,
( ~ sQ35_spl
| aElement0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)))
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f346,f140]) ).
fof(f1503,definition,
( sQ163_spl
<=> aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)),xS) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( ~ sQ163_spl
| aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)),xS) ),
inference(component_clause,[status(thm)],[f1503]) ).
fof(f1506,definition,
( sQ164_spl
<=> sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)) = xx ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1507,plain,
( ~ sQ164_spl
| sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)) = xx ),
inference(component_clause,[status(thm)],[f1506]) ).
fof(f1509,plain,
( ~ sQ35_spl
| sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1498,f1503,f1506,f345]) ).
fof(f1511,plain,
( ~ sQ35_spl
| sQ29_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1501,f180,f169,f298,f345]) ).
fof(f1545,plain,
( ~ sQ163_spl
| aElement0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1504,f29]) ).
fof(f1546,plain,
( ~ sQ163_spl
| sQ29_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1545,f180,f298,f1503]) ).
fof(f1550,plain,
( ~ sQ164_spl
| ~ aElement0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)))
| aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1507,f98]) ).
fof(f1551,plain,
( ~ sQ164_spl
| aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = slcrc0 ),
inference(paramodulation,[status(thm)],[f1507,f38]) ).
fof(f1554,plain,
( ~ sQ164_spl
| ~ sQ29_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1550,f345,f298,f1506]) ).
fof(f1555,definition,
( sQ165_spl
<=> aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( ~ sQ165_spl
| aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1558,plain,
( ~ sQ164_spl
| sQ165_spl
| ~ sQ28_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1551,f301,f294,f1555,f1506]) ).
fof(f1586,plain,
( ~ sQ34_spl
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f342,f53]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ34_spl
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = xx
| aElementOf0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0),xS)
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f342,f96]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ34_spl
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = xx
| aElementOf0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0),xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f342,f141]) ).
fof(f1592,definition,
( sQ166_spl
<=> aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1593,plain,
( ~ sQ166_spl
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f1592]) ).
fof(f1595,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| sQ166_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1586,f122,f1592,f294,f341]) ).
fof(f1596,definition,
! [X0] :
( sQ167_spl
<=> ( sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = xx
| aElementOf0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0),xS)
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1599,plain,
( ~ sQ34_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1589,f1596,f180,f169,f341]) ).
fof(f1606,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ sQ40_spl
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f760,f662]) ).
fof(f1607,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f760,f175]) ).
fof(f1608,definition,
! [X0,X1] :
( sQ168_spl
<=> ( ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1611,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1607,f1608,f180,f169,f400]) ).
fof(f1627,plain,
! [X0,X1] :
( ~ sQ49_spl
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f463,f96]) ).
fof(f1629,plain,
! [X0,X1] :
( ~ sQ49_spl
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f463,f141]) ).
fof(f1630,plain,
! [X0,X1] :
( ~ sQ49_spl
| aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| ~ aElement0(xx)
| ~ aSet0(xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f463,f140]) ).
fof(f1632,definition,
! [X0,X1] :
( sQ170_spl
<=> ( sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1635,plain,
( ~ sQ49_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1629,f1632,f180,f169,f462]) ).
fof(f1636,plain,
( ~ sQ49_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1630,f466,f180,f169,f462]) ).
fof(f1638,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f115]) ).
fof(f1639,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1638]) ).
fof(f1643,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| X0 = xx
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1058,f101]) ).
fof(f1644,plain,
! [X0] :
( aElement0(X0)
| X0 = xx
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1058,f100]) ).
fof(f1651,definition,
! [X0] :
( sQ171_spl
<=> ( aElementOf0(X0,sdtpldt0(xS,xx))
| X0 = xx
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1654,plain,
( ~ sQ28_spl
| sQ171_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1643,f166,f180,f169,f1651,f294]) ).
fof(f1655,definition,
! [X0] :
( sQ172_spl
<=> ( aElement0(X0)
| X0 = xx
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( ~ sQ28_spl
| sQ172_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1644,f166,f180,f169,f1655,f294]) ).
fof(f1662,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f548,f342]) ).
fof(f1663,plain,
( ~ sQ54_spl
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(xS,xx),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f548,f52]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ54_spl
| ~ aElementOf0(sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f548,f662]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ54_spl
| ~ aElementOf0(sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f548,f175]) ).
fof(f1670,definition,
( sQ173_spl
<=> aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1673,definition,
( sQ174_spl
<=> sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1676,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| sQ174_spl
| ~ sQ28_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1662,f1670,f294,f1673,f547,f341]) ).
fof(f1677,definition,
( sQ175_spl
<=> aSubsetOf0(sdtpldt0(xS,xx),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1680,definition,
( sQ176_spl
<=> sK1_skl(sdtpldt0(xS,xx),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1683,plain,
( ~ sQ54_spl
| ~ sQ28_spl
| sQ176_spl
| ~ sQ1_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1663,f1677,f122,f1680,f294,f547]) ).
fof(f1684,definition,
! [X0] :
( sQ177_spl
<=> ( ~ aElementOf0(sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| sK1_skl(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1687,plain,
( ~ sQ54_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1669,f1684,f180,f169,f547]) ).
fof(f1694,plain,
! [X0] :
( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| X0 = xx
| aElementOf0(X0,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1066,f443]) ).
fof(f1703,definition,
! [X0] :
( sQ178_spl
<=> ( X0 = xx
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| X0 = xx
| aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1706,plain,
( ~ sQ28_spl
| sQ178_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f1694,f166,f180,f169,f1703,f294]) ).
fof(f1719,plain,
! [X0,X1,X2,X3] :
( ~ sQ125_spl
| ~ sQ14_spl
| aElement0(X3)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f199,f1371]) ).
fof(f1721,plain,
! [X0,X1,X2] :
( ~ sQ127_spl
| ~ sQ14_spl
| aSet0(X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f199,f1253]) ).
fof(f1722,plain,
! [X0,X1] :
( ~ sQ97_spl
| ~ sQ14_spl
| X1 = xx
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f199,f1124]) ).
fof(f1729,plain,
! [X0] :
( ~ sQ14_spl
| isFinite0(slcrc0)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f199,f55]) ).
fof(f1734,definition,
! [X0,X1,X2,X3] :
( sQ179_spl
<=> ( aElement0(X3)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1735,plain,
! [X0,X1,X2,X3] :
( ~ sQ179_spl
| aElement0(X3)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1737,plain,
( ~ sQ125_spl
| ~ sQ14_spl
| sQ179_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1719,f180,f1734,f198,f1244]) ).
fof(f1738,definition,
! [X0,X1,X2] :
( sQ180_spl
<=> ( aElement0(X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1739,plain,
! [X0,X1,X2] :
( ~ sQ180_spl
| aElement0(X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1742,definition,
! [X0,X1,X2] :
( sQ181_spl
<=> ( aSet0(X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1743,plain,
! [X0,X1,X2] :
( ~ sQ181_spl
| aSet0(X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(component_clause,[status(thm)],[f1742]) ).
fof(f1745,plain,
( ~ sQ127_spl
| ~ sQ14_spl
| sQ181_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1721,f180,f1742,f198,f1252]) ).
fof(f1746,definition,
! [X0,X1] :
( sQ182_spl
<=> ( X1 = xx
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1747,plain,
! [X0,X1] :
( ~ sQ182_spl
| X1 = xx
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(component_clause,[status(thm)],[f1746]) ).
fof(f1749,plain,
( ~ sQ97_spl
| ~ sQ14_spl
| sQ182_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1722,f180,f1746,f198,f1009]) ).
fof(f1750,definition,
! [X0,X1] :
( sQ183_spl
<=> ( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1751,plain,
! [X0,X1] :
( ~ sQ183_spl
| aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(component_clause,[status(thm)],[f1750]) ).
fof(f1754,definition,
! [X0,X1] :
( sQ184_spl
<=> ( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1755,plain,
! [X0,X1] :
( ~ sQ184_spl
| aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(component_clause,[status(thm)],[f1754]) ).
fof(f1760,definition,
! [X0] :
( sQ185_spl
<=> ( aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1765,definition,
! [X0] :
( sQ186_spl
<=> ( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ186_spl
| ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1768,definition,
( sQ187_spl
<=> isFinite0(slcrc0) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( ~ sQ14_spl
| sQ187_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1729,f1765,f1768,f198]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ186_spl
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1766]) ).
fof(f1778,plain,
( ~ sQ186_spl
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f1776,f39]) ).
fof(f1780,plain,
( ~ sQ186_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1778,f146,f1765]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ183_spl
| ~ aSet0(slcrc0)
| aElement0(X0)
| ~ aElementOf0(X0,slcrc0) ),
inference(resolution,[status(thm)],[f1751,f57]) ).
fof(f1824,plain,
( ~ sQ183_spl
| ~ sQ6_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1822,f256,f146,f1750]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ184_spl
| ~ aSet0(slcrc0)
| aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(resolution,[status(thm)],[f1755,f57]) ).
fof(f1828,plain,
( ~ sQ184_spl
| ~ sQ6_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1826,f1760,f146,f1754]) ).
fof(f1839,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ aSet0(slcrc0)
| aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(resolution,[status(thm)],[f1739,f57]) ).
fof(f1841,plain,
( ~ sQ180_spl
| ~ sQ6_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1839,f1750,f146,f1738]) ).
fof(f1845,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ aSet0(slcrc0)
| aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(resolution,[status(thm)],[f1743,f57]) ).
fof(f1847,plain,
( ~ sQ181_spl
| ~ sQ6_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1845,f1754,f146,f1742]) ).
fof(f1849,plain,
! [X0] :
( ~ sQ78_spl
| aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f750,f542]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ78_spl
| aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f750,f51]) ).
fof(f1851,plain,
( ~ sQ78_spl
| sdtpldt0(xS,xx) = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f750,f357]) ).
fof(f1854,definition,
! [X0] :
( sQ188_spl
<=> ( aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1857,plain,
( ~ sQ78_spl
| sQ188_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1849,f122,f1854,f749]) ).
fof(f1858,definition,
! [X0] :
( sQ189_spl
<=> ( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1861,plain,
( ~ sQ78_spl
| sQ189_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1850,f122,f1858,f749]) ).
fof(f1862,definition,
( sQ190_spl
<=> sdtpldt0(xS,xx) = sdtpldt0(xS,xx) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1865,plain,
( sQ190_spl
| ~ sQ78_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1851,f122,f749,f1862]) ).
fof(f1868,plain,
! [X0,X1,X2] :
( ~ sQ179_spl
| ~ aSet0(slcrc0)
| aElement0(X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(resolution,[status(thm)],[f1735,f57]) ).
fof(f1870,plain,
( ~ sQ179_spl
| ~ sQ6_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1868,f1738,f146,f1734]) ).
fof(f1884,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtpldt0(X0,X1),X2,X3) = X2
| sdtpldt0(X0,X1) = sdtpldt0(X3,X2)
| ~ aElement0(X2)
| ~ aSet0(X3)
| aElement0(sK2_skl(sdtpldt0(X0,X1),X2,X3))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f29]) ).
fof(f1886,plain,
! [X0,X1,X2] :
( ~ aElementOf0(sK2_skl(sdtpldt0(X0,X1),xx,X2),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtpldt0(X0,X1) = sdtpldt0(X2,xx)
| ~ aElement0(xx)
| ~ aSet0(X2)
| aElement0(sK2_skl(sdtpldt0(X0,X1),xx,X2))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1884,f102]) ).
fof(f1887,plain,
! [X0,X1,X2] :
( ~ aElement0(sK2_skl(sdtpldt0(X0,X1),xx,X2))
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),xx,X2),sdtpldt0(xS,xx))
| sdtpldt0(X0,X1) = sdtpldt0(X2,xx)
| ~ aElement0(xx)
| ~ aSet0(X2)
| aElement0(sK2_skl(sdtpldt0(X0,X1),xx,X2))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1884,f98]) ).
fof(f1900,definition,
! [X0,X1,X2] :
( sQ191_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(X0,X1),xx,X2),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtpldt0(X0,X1) = sdtpldt0(X2,xx)
| ~ aSet0(X2)
| aElement0(sK2_skl(sdtpldt0(X0,X1),xx,X2))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1903,plain,
( ~ sQ10_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1886,f1900,f169]) ).
fof(f1904,definition,
! [X0,X1,X2] :
( sQ192_spl
<=> ( ~ aElement0(sK2_skl(sdtpldt0(X0,X1),xx,X2))
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),xx,X2),sdtpldt0(xS,xx))
| sdtpldt0(X0,X1) = sdtpldt0(X2,xx)
| ~ aSet0(X2)
| aElement0(sK2_skl(sdtpldt0(X0,X1),xx,X2))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
( ~ sQ10_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1887,f1904,f169]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ15_spl
| sK1_skl(sdtpldt0(xS,xx),sdtpldt0(xS,X0)) = xx
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,X0))
| ~ aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f617,f203]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ34_spl
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f617,f342]) ).
fof(f1922,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(X0,X1))
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f617,f52]) ).
fof(f1924,plain,
! [X0,X1] :
( sK1_skl(X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = xx
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)),sdtpldt0(xS,xx))
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f617,f443]) ).
fof(f1930,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ125_spl
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f617,f1245]) ).
fof(f1931,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f617,f1109]) ).
fof(f1932,plain,
! [X0,X1,X2,X3] :
( ~ sQ97_spl
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f617,f1010]) ).
fof(f1933,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f617,f954]) ).
fof(f1934,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f617,f662]) ).
fof(f1936,definition,
! [X0] :
( sQ196_spl
<=> ( sK1_skl(sdtpldt0(xS,xx),sdtpldt0(xS,X0)) = xx
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1939,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| sQ196_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1920,f180,f1936,f122,f202]) ).
fof(f1940,definition,
! [X0] :
( sQ197_spl
<=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtpldt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1943,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| sQ197_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1921,f122,f1940,f294,f341]) ).
fof(f1944,plain,
! [X0,X1] :
( ~ aSet0(sdtpldt0(X0,X1))
| aSubsetOf0(X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1922]) ).
fof(f1945,plain,
! [X0,X1] :
( aSubsetOf0(X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1944,f114]) ).
fof(f1947,definition,
! [X0,X1] :
( sQ198_spl
<=> ( sK1_skl(X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = xx
| ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)),sdtpldt0(xS,xx))
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1950,plain,
( sQ198_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1924,f294,f1947]) ).
fof(f1955,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ199_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1958,plain,
( ~ sQ125_spl
| sQ199_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1930,f122,f1955,f1244]) ).
fof(f1959,definition,
! [X0,X1,X2,X3,X4] :
( sQ200_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1962,plain,
( ~ sQ107_spl
| sQ200_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1931,f122,f1959,f1108]) ).
fof(f1963,definition,
! [X0,X1,X2,X3] :
( sQ201_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1966,plain,
( ~ sQ97_spl
| sQ201_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1932,f122,f1963,f1009]) ).
fof(f1967,definition,
! [X0,X1,X2] :
( sQ202_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1970,plain,
( ~ sQ92_spl
| sQ202_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1933,f122,f1967,f953]) ).
fof(f1971,definition,
! [X0,X1] :
( sQ203_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtpldt0(sdtpldt0(xS,xx),X0)),xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1974,plain,
( ~ sQ64_spl
| sQ203_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f1934,f122,f1971,f618]) ).
fof(f1979,plain,
! [X0,X1,X2] :
( aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1945,f542]) ).
fof(f1981,plain,
! [X0,X1] :
( X0 = sdtpldt0(X0,X1)
| ~ aSubsetOf0(sdtpldt0(X0,X1),X0)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1945,f357]) ).
fof(f1984,plain,
! [X0,X1,X2] :
( aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSubsetOf0(X2,X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1979,f114]) ).
fof(f1985,plain,
! [X0,X1] :
( X0 = sdtpldt0(X0,X1)
| ~ aSubsetOf0(sdtpldt0(X0,X1),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1981,f50]) ).
fof(f1988,plain,
! [X0,X1,X2,X3] :
( aElementOf0(X3,sdtpldt0(X0,X1))
| ~ aElementOf0(X3,X2)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(X2,X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1984,f51]) ).
fof(f1993,plain,
! [X0,X1,X2,X3] :
( aElementOf0(X3,sdtpldt0(X0,X1))
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1988,f114]) ).
fof(f1996,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X2) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X2),X2)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X2),X0)
| ~ aSubsetOf0(X0,xS)
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1993,f760]) ).
fof(f1998,plain,
! [X0,X1] :
( ~ sQ54_spl
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSubsetOf0(X0,xS)
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1993,f548]) ).
fof(f2007,plain,
! [X0,X1,X2,X3] :
( aElement0(X3)
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1993,f140]) ).
fof(f2010,definition,
! [X0,X1,X2] :
( sQ204_spl
<=> ( sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X2) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X2),X2)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X2),X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2013,plain,
( ~ sQ40_spl
| sQ204_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1996,f180,f169,f2010,f400]) ).
fof(f2015,definition,
! [X0,X1] :
( sQ205_spl
<=> ( sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2018,plain,
( ~ sQ54_spl
| sQ205_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1998,f180,f169,f2015,f547]) ).
fof(f2026,definition,
! [X0,X2,X3] :
( sQ206_spl
<=> ( aElement0(X3)
| ~ aSet0(X0)
| ~ aElementOf0(X3,X2)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2027,plain,
! [X0,X1,X2] :
( ~ sQ206_spl
| aElement0(X2)
| ~ aSet0(X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f2026]) ).
fof(f2029,plain,
( sQ67_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f2007,f2026,f629]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ67_spl
| ~ aElement0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f630]) ).
fof(f2032,plain,
! [X0,X1] :
( ~ sQ48_spl
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = xx
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f707,f459]) ).
fof(f2034,plain,
! [X0,X1,X2] :
( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),sdtpldt0(xS,xx))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f707,f443]) ).
fof(f2040,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f707,f1245]) ).
fof(f2041,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ107_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f707,f1109]) ).
fof(f2042,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ97_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f707,f1010]) ).
fof(f2043,plain,
! [X0,X1,X2,X3] :
( ~ sQ92_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f707,f954]) ).
fof(f2044,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f707,f662]) ).
fof(f2047,definition,
! [X0,X1] :
( sQ207_spl
<=> ( sK2_skl(sdtpldt0(xS,xx),X1,X0) = xx
| sK2_skl(sdtpldt0(xS,xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( ~ sQ48_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2032,f2047,f180,f169,f458]) ).
fof(f2052,definition,
! [X0,X1,X2] :
( sQ208_spl
<=> ( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0) = xx
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),sdtpldt0(xS,xx))
| ~ aElement0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( ~ sQ28_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2034,f2052,f294]) ).
fof(f2060,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ209_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2063,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2040,f2060,f122,f1244]) ).
fof(f2064,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ210_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2067,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2041,f2064,f122,f1108]) ).
fof(f2068,definition,
! [X0,X1,X2,X3,X4] :
( sQ211_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2071,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2042,f2068,f122,f1009]) ).
fof(f2072,definition,
! [X0,X1,X2,X3] :
( sQ212_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2075,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2043,f2072,f122,f953]) ).
fof(f2076,definition,
! [X0,X1,X2] :
( sQ213_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2079,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2044,f2076,f122,f618]) ).
fof(f2107,plain,
( ~ sQ2_spl
| ~ sQ67_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f126,f2031]) ).
fof(f2112,plain,
! [X0,X1,X2] :
( ~ sQ206_spl
| aElement0(X2)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2027]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ54_spl
| sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f730,f548]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ72_spl
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(xS,X0),sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,X0),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sK1_skl(sdtpldt0(xS,X0),sdtpldt0(xS,xx)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f730,f690]) ).
fof(f2601,plain,
! [X0,X1] :
( ~ sQ64_spl
| aElement0(sK1_skl(sdtpldt0(xS,X0),X1))
| aSubsetOf0(sdtpldt0(xS,X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(xS,X0),X1) = X0
| ~ aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f730,f619]) ).
fof(f2602,plain,
! [X0,X1] :
( aElement0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f730,f100]) ).
fof(f2603,plain,
! [X0,X1] :
( aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1),sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f730,f101]) ).
fof(f2610,plain,
! [X0,X1] :
( aElement0(sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1))
| aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f730,f95]) ).
fof(f2611,plain,
! [X0,X1] :
( sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1) = xx
| aElementOf0(sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1),xS)
| aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f730,f96]) ).
fof(f2614,plain,
! [X0,X1] :
( aSubsetOf0(sdtpldt0(slcrc0,X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(slcrc0,X0),X1) = X0
| ~ aElement0(X0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f730,f116]) ).
fof(f2617,definition,
! [X0] :
( sQ214_spl
<=> ( sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2620,plain,
( ~ sQ54_spl
| ~ sQ28_spl
| sQ214_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2597,f122,f2617,f294,f547]) ).
fof(f2621,definition,
! [X0] :
( sQ215_spl
<=> ( ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(xS,X0),sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,X0),sdtpldt0(xS,xx))
| sK1_skl(sdtpldt0(xS,X0),sdtpldt0(xS,xx)) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2624,plain,
( ~ sQ72_spl
| ~ sQ1_spl
| sQ215_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2598,f180,f2621,f122,f689]) ).
fof(f2628,definition,
! [X0,X1] :
( sQ216_spl
<=> ( aElement0(sK1_skl(sdtpldt0(xS,X0),X1))
| aSubsetOf0(sdtpldt0(xS,X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(xS,X0),X1) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2631,plain,
( ~ sQ64_spl
| sQ216_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2601,f180,f2628,f618]) ).
fof(f2632,definition,
! [X0,X1] :
( sQ217_spl
<=> ( aElement0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2635,plain,
( sQ217_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2602,f294,f2632]) ).
fof(f2636,definition,
! [X0,X1] :
( sQ218_spl
<=> ( aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1),sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2639,plain,
( sQ218_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2603,f294,f2636]) ).
fof(f2645,definition,
! [X0,X1] :
( sQ219_spl
<=> ( aElement0(sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1))
| aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2648,plain,
( sQ219_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2610,f122,f2645]) ).
fof(f2649,definition,
! [X0,X1] :
( sQ220_spl
<=> ( sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1) = xx
| aElementOf0(sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1),xS)
| aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(sdtpldt0(xS,xx),X0),X1) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2652,plain,
( sQ220_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2611,f122,f2649]) ).
fof(f2655,definition,
! [X0,X1] :
( sQ221_spl
<=> ( aSubsetOf0(sdtpldt0(slcrc0,X0),X1)
| ~ aSet0(X1)
| sK1_skl(sdtpldt0(slcrc0,X0),X1) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2658,plain,
( sQ221_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2614,f146,f2655]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ64_spl
| aElement0(sK0_skl(sdtpldt0(xS,X0)))
| sdtpldt0(xS,X0) = slcrc0
| sK0_skl(sdtpldt0(xS,X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f732,f619]) ).
fof(f2665,plain,
! [X0] :
( aElement0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f732,f100]) ).
fof(f2666,plain,
! [X0] :
( aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)),sdtpldt0(xS,xx))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f732,f101]) ).
fof(f2673,plain,
! [X0] :
( aElement0(sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)))
| sdtpldt0(sdtpldt0(xS,xx),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f732,f95]) ).
fof(f2674,plain,
! [X0] :
( sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)) = xx
| aElementOf0(sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)),xS)
| sdtpldt0(sdtpldt0(xS,xx),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f732,f96]) ).
fof(f2677,plain,
! [X0] :
( sdtpldt0(slcrc0,X0) = slcrc0
| sK0_skl(sdtpldt0(slcrc0,X0)) = X0
| ~ aElement0(X0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f732,f116]) ).
fof(f2680,definition,
! [X0] :
( sQ222_spl
<=> ( aElement0(sK0_skl(sdtpldt0(xS,X0)))
| sdtpldt0(xS,X0) = slcrc0
| sK0_skl(sdtpldt0(xS,X0)) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2683,plain,
( ~ sQ64_spl
| sQ222_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2664,f180,f2680,f618]) ).
fof(f2684,definition,
! [X0] :
( sQ223_spl
<=> ( aElement0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2687,plain,
( sQ223_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2665,f294,f2684]) ).
fof(f2688,definition,
! [X0] :
( sQ224_spl
<=> ( aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)),sdtpldt0(xS,xx))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2691,plain,
( sQ224_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2666,f294,f2688]) ).
fof(f2697,definition,
! [X0] :
( sQ225_spl
<=> ( aElement0(sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)))
| sdtpldt0(sdtpldt0(xS,xx),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2700,plain,
( sQ225_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2673,f122,f2697]) ).
fof(f2701,definition,
! [X0] :
( sQ226_spl
<=> ( sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)) = xx
| aElementOf0(sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)),xS)
| sdtpldt0(sdtpldt0(xS,xx),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2704,plain,
( sQ226_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2674,f122,f2701]) ).
fof(f2707,definition,
! [X0] :
( sQ227_spl
<=> ( sdtpldt0(slcrc0,X0) = slcrc0
| sK0_skl(sdtpldt0(slcrc0,X0)) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ227_spl
| sdtpldt0(slcrc0,X0) = slcrc0
| sK0_skl(sdtpldt0(slcrc0,X0)) = X0
| ~ aElement0(X0) ),
inference(component_clause,[status(thm)],[f2707]) ).
fof(f2710,plain,
( sQ227_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2677,f146,f2707]) ).
fof(f2725,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ64_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X0,xS),xS)
| sdtpldt0(xS,xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| ~ aSet0(xS)
| sK2_skl(sdtpldt0(xS,xx),X0,xS) = X0
| sdtpldt0(xS,xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| ~ aSet0(xS)
| sK2_skl(sdtpldt0(xS,xx),X0,xS) = xx
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X0,xS),xS)
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f733,f1146]) ).
fof(f2728,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| aElement0(sK2_skl(sdtpldt0(X0,X1),X2,xS))
| sK2_skl(sdtpldt0(X0,X1),X2,xS) = X2
| sdtpldt0(X0,X1) = sdtpldt0(xS,X2)
| ~ aElement0(X2)
| ~ aSet0(xS)
| sK2_skl(sdtpldt0(X0,X1),X2,xS) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,xS),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f733,f619]) ).
fof(f2729,plain,
! [X0,X1,X2] :
( aElement0(sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f733,f100]) ).
fof(f2730,plain,
! [X0,X1,X2] :
( aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f733,f101]) ).
fof(f2737,plain,
! [X0,X1,X2] :
( aElement0(sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = X2
| sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f733,f95]) ).
fof(f2738,plain,
! [X0,X1,X2] :
( sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = xx
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)),xS)
| sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = X2
| sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f733,f96]) ).
fof(f2741,plain,
! [X0,X1,X2] :
( sK2_skl(sdtpldt0(X0,X1),X2,slcrc0) = X2
| sdtpldt0(X0,X1) = sdtpldt0(slcrc0,X2)
| ~ aElement0(X2)
| ~ aSet0(slcrc0)
| sK2_skl(sdtpldt0(X0,X1),X2,slcrc0) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,slcrc0),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f733,f116]) ).
fof(f2743,definition,
! [X0] :
( sQ228_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(xS,xx),X0,xS),xS)
| sdtpldt0(xS,xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| sK2_skl(sdtpldt0(xS,xx),X0,xS) = X0
| sdtpldt0(xS,xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| sK2_skl(sdtpldt0(xS,xx),X0,xS) = xx
| aElementOf0(sK2_skl(sdtpldt0(xS,xx),X0,xS),xS) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2746,plain,
( ~ sQ41_spl
| ~ sQ64_spl
| sQ228_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2725,f180,f169,f2743,f618,f404]) ).
fof(f2749,definition,
! [X0,X1,X2] :
( sQ229_spl
<=> ( aElement0(sK2_skl(sdtpldt0(X0,X1),X2,xS))
| sK2_skl(sdtpldt0(X0,X1),X2,xS) = X2
| sdtpldt0(X0,X1) = sdtpldt0(xS,X2)
| ~ aElement0(X2)
| sK2_skl(sdtpldt0(X0,X1),X2,xS) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,xS),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2752,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2728,f2749,f180,f618]) ).
fof(f2753,definition,
! [X0,X1,X2] :
( sQ230_spl
<=> ( aElement0(sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2756,plain,
( ~ sQ28_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2729,f2753,f294]) ).
fof(f2757,definition,
! [X0,X1,X2] :
( sQ231_spl
<=> ( aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2760,plain,
( ~ sQ28_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2730,f2757,f294]) ).
fof(f2766,definition,
! [X0,X1,X2] :
( sQ232_spl
<=> ( aElement0(sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)))
| sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = X2
| sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
( ~ sQ1_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2737,f2766,f122]) ).
fof(f2770,definition,
! [X0,X1,X2] :
( sQ233_spl
<=> ( sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = xx
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)),xS)
| sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = X2
| sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2773,plain,
( ~ sQ1_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2738,f2770,f122]) ).
fof(f2776,definition,
! [X0,X1,X2] :
( sQ234_spl
<=> ( sK2_skl(sdtpldt0(X0,X1),X2,slcrc0) = X2
| sdtpldt0(X0,X1) = sdtpldt0(slcrc0,X2)
| ~ aElement0(X2)
| sK2_skl(sdtpldt0(X0,X1),X2,slcrc0) = X1
| aElementOf0(sK2_skl(sdtpldt0(X0,X1),X2,slcrc0),X0)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2779,plain,
( ~ sQ6_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2741,f2776,f146]) ).
fof(f2788,plain,
! [X0,X1,X2] :
( sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f736,f443]) ).
fof(f2794,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f736,f1245]) ).
fof(f2795,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ107_spl
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f736,f1109]) ).
fof(f2796,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ97_spl
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f736,f1010]) ).
fof(f2797,plain,
! [X0,X1,X2,X3] :
( ~ sQ92_spl
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f736,f954]) ).
fof(f2798,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f736,f662]) ).
fof(f2801,definition,
! [X0] :
( sQ235_spl
<=> ( sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)) = X0
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2807,definition,
! [X0,X1,X2] :
( sQ236_spl
<=> ( sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2810,plain,
( ~ sQ28_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2788,f2807,f294]) ).
fof(f2815,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ237_spl
<=> ( ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2818,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2794,f2815,f122,f1244]) ).
fof(f2819,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ238_spl
<=> ( ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2822,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2795,f2819,f122,f1108]) ).
fof(f2823,definition,
! [X0,X1,X2,X3,X4] :
( sQ239_spl
<=> ( ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2826,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2796,f2823,f122,f1009]) ).
fof(f2827,definition,
! [X0,X1,X2,X3] :
( sQ240_spl
<=> ( ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2830,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2797,f2827,f122,f953]) ).
fof(f2831,definition,
! [X0,X1,X2] :
( sQ241_spl
<=> ( ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),xS)
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X1
| ~ aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2834,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2798,f2831,f122,f618]) ).
fof(f2837,plain,
! [X0] :
( ~ sQ15_spl
| sK1_skl(sdtpldt0(xS,xx),sdtmndt0(xS,X0)) = xx
| aSubsetOf0(sdtpldt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0))
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0))
| sK1_skl(sdtpldt0(xS,xx),sdtmndt0(xS,X0)) = X0
| ~ aElementOf0(X0,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f737,f203]) ).
fof(f2839,plain,
! [X0] :
( ~ sQ34_spl
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f737,f342]) ).
fof(f2842,plain,
! [X0,X1] :
( sK1_skl(X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = xx
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)),sdtpldt0(xS,xx))
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| sK1_skl(X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = X0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f737,f443]) ).
fof(f2848,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ125_spl
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f737,f1245]) ).
fof(f2849,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f737,f1109]) ).
fof(f2850,plain,
! [X0,X1,X2,X3] :
( ~ sQ97_spl
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f737,f1010]) ).
fof(f2851,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f737,f954]) ).
fof(f2852,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f737,f662]) ).
fof(f2855,definition,
! [X0] :
( sQ242_spl
<=> ( sK1_skl(sdtpldt0(xS,xx),sdtmndt0(xS,X0)) = xx
| aSubsetOf0(sdtpldt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtpldt0(xS,xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0))
| sK1_skl(sdtpldt0(xS,xx),sdtmndt0(xS,X0)) = X0
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2858,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| sQ242_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2837,f180,f2855,f122,f202]) ).
fof(f2861,definition,
! [X0] :
( sQ243_spl
<=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2864,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| sQ243_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2839,f122,f2861,f294,f341]) ).
fof(f2867,definition,
! [X0,X1] :
( sQ244_spl
<=> ( sK1_skl(X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = xx
| ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)),sdtpldt0(xS,xx))
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| sK1_skl(X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)) = X0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2870,plain,
( sQ244_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2842,f294,f2867]) ).
fof(f2875,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ245_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2878,plain,
( ~ sQ125_spl
| sQ245_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2848,f122,f2875,f1244]) ).
fof(f2879,definition,
! [X0,X1,X2,X3,X4] :
( sQ246_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2882,plain,
( ~ sQ107_spl
| sQ246_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2849,f122,f2879,f1108]) ).
fof(f2883,definition,
! [X0,X1,X2,X3] :
( sQ247_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2886,plain,
( ~ sQ97_spl
| sQ247_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2850,f122,f2883,f1009]) ).
fof(f2887,definition,
! [X0,X1,X2] :
( sQ248_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2890,plain,
( ~ sQ92_spl
| sQ248_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2851,f122,f2887,f953]) ).
fof(f2891,definition,
! [X0,X1] :
( sQ249_spl
<=> ( ~ aElementOf0(sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)),xS)
| ~ aSet0(X1)
| aSubsetOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK1_skl(X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2894,plain,
( ~ sQ64_spl
| sQ249_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2852,f122,f2891,f618]) ).
fof(f2911,plain,
! [X0,X1,X2,X3,X4] :
( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4),X4)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(X4,X3)
| ~ aElement0(X3)
| ~ aSet0(X4)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f336]) ).
fof(f2916,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f2911,f443]) ).
fof(f2922,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X7)
| ~ aSubsetOf0(X7,X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f2911,f1245]) ).
fof(f2923,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ107_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f2911,f1109]) ).
fof(f2924,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ97_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f2911,f1010]) ).
fof(f2925,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ92_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X4)
| ~ aSubsetOf0(X4,xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f2911,f954]) ).
fof(f2926,plain,
! [X0,X1,X2,X3] :
( ~ sQ64_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f2911,f662]) ).
fof(f2933,definition,
! [X0,X1,X2,X3] :
( sQ250_spl
<=> ( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X3)
| ~ aElement0(X3)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2936,plain,
( ~ sQ28_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2916,f2933,f294]) ).
fof(f2941,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ251_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X7)
| ~ aSubsetOf0(X7,X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2944,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2922,f2941,f122,f1244]) ).
fof(f2945,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ252_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2948,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2923,f2945,f122,f1108]) ).
fof(f2949,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ253_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2952,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2924,f2949,f122,f1009]) ).
fof(f2953,definition,
! [X0,X1,X2,X3,X4] :
( sQ254_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X4)
| ~ aSubsetOf0(X4,xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2956,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2925,f2953,f122,f953]) ).
fof(f2957,definition,
! [X0,X1,X2,X3] :
( sQ255_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),xS)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2960,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2926,f2957,f122,f618]) ).
fof(f2963,plain,
! [X0,X1,X2,X3] :
( ~ aSet0(X3)
| aSubsetOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0))
| ~ aElementOf0(sK1_skl(X3,sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1054,f336]) ).
fof(f2964,plain,
! [X0,X1] :
( ~ sQ15_spl
| sK1_skl(sdtpldt0(xS,xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0)) = xx
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0))
| ~ aSet0(sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0))
| ~ aElement0(X1)
| ~ aSet0(xS)
| ~ aElementOf0(X0,sdtpldt0(xS,X1)) ),
inference(resolution,[status(thm)],[f2963,f203]) ).
fof(f2966,plain,
! [X0,X1] :
( ~ sQ34_spl
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f2963,f342]) ).
fof(f2970,plain,
! [X0,X1,X2] :
( sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)) = xx
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)),sdtpldt0(xS,xx))
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ),
inference(resolution,[status(thm)],[f2963,f443]) ).
fof(f2976,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f2963,f1245]) ).
fof(f2977,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ107_spl
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f2963,f1109]) ).
fof(f2978,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ97_spl
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f2963,f1010]) ).
fof(f2979,plain,
! [X0,X1,X2,X3] :
( ~ sQ92_spl
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f2963,f954]) ).
fof(f2980,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f2963,f662]) ).
fof(f2983,definition,
! [X0,X1] :
( sQ256_spl
<=> ( sK1_skl(sdtpldt0(xS,xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0)) = xx
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0))
| aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(xS,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2986,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2964,f2983,f180,f122,f202]) ).
fof(f2989,definition,
! [X0,X1] :
( sQ257_spl
<=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2992,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ1_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2966,f2989,f122,f294,f341]) ).
fof(f2997,definition,
! [X0,X1,X2] :
( sQ258_spl
<=> ( sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)) = xx
| ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)),sdtpldt0(xS,xx))
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f3000,plain,
( ~ sQ28_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2970,f2997,f294]) ).
fof(f3005,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ259_spl
<=> ( ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f3008,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2976,f3005,f122,f1244]) ).
fof(f3009,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ260_spl
<=> ( ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f3012,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2977,f3009,f122,f1108]) ).
fof(f3013,definition,
! [X0,X1,X2,X3,X4] :
( sQ261_spl
<=> ( ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f3016,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2978,f3013,f122,f1009]) ).
fof(f3017,definition,
! [X0,X1,X2,X3] :
( sQ262_spl
<=> ( ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),X3)
| ~ aSubsetOf0(X3,xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f3020,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2979,f3017,f122,f953]) ).
fof(f3021,definition,
! [X0,X1,X2] :
( sQ263_spl
<=> ( ~ aElementOf0(sK1_skl(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),xS)
| ~ aSet0(X2)
| aSubsetOf0(X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f3024,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2980,f3021,f122,f618]) ).
fof(f3060,plain,
! [X0,X1,X2,X3] :
( aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3)
| ~ aSet0(X3)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3) = X2
| aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f336]) ).
fof(f3061,plain,
! [X0,X1] :
( ~ sQ54_spl
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f3060,f548]) ).
fof(f3064,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),sdtpldt0(xS,xx)) = X1
| ~ aElement0(X1)
| ~ aSet0(xS)
| ~ aElementOf0(X0,sdtpldt0(xS,X1)) ),
inference(resolution,[status(thm)],[f3060,f690]) ).
fof(f3067,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| aElement0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),X2))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(xS)
| ~ aElementOf0(X0,sdtpldt0(xS,X1)) ),
inference(resolution,[status(thm)],[f3060,f619]) ).
fof(f3068,plain,
! [X0,X1,X2] :
( aElement0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ),
inference(resolution,[status(thm)],[f3060,f100]) ).
fof(f3069,plain,
! [X0,X1,X2] :
( aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2),sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ),
inference(resolution,[status(thm)],[f3060,f101]) ).
fof(f3076,plain,
! [X0,X1,X2] :
( aElement0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f3060,f95]) ).
fof(f3077,plain,
! [X0,X1,X2] :
( sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2) = xx
| aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2),xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f3060,f96]) ).
fof(f3080,plain,
! [X0,X1,X2] :
( aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| ~ aElementOf0(X0,sdtpldt0(slcrc0,X1)) ),
inference(resolution,[status(thm)],[f3060,f116]) ).
fof(f3082,definition,
! [X0,X1] :
( sQ264_spl
<=> ( sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f3085,plain,
( ~ sQ54_spl
| ~ sQ28_spl
| ~ sQ1_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f3061,f3082,f122,f294,f547]) ).
fof(f3090,definition,
! [X0,X1] :
( sQ265_spl
<=> ( ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),sdtpldt0(xS,xx))
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),sdtpldt0(xS,xx)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(xS,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f3093,plain,
( ~ sQ72_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f3064,f3090,f180,f122,f689]) ).
fof(f3097,definition,
! [X0,X1,X2] :
( sQ266_spl
<=> ( aElement0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),X2))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(xS,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f3100,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f3067,f3097,f180,f618]) ).
fof(f3101,definition,
! [X0,X1,X2] :
( sQ267_spl
<=> ( aElement0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f3104,plain,
( ~ sQ28_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f3068,f3101,f294]) ).
fof(f3105,definition,
! [X0,X1,X2] :
( sQ268_spl
<=> ( aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2),sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f3108,plain,
( ~ sQ28_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3069,f3105,f294]) ).
fof(f3114,definition,
! [X0,X1,X2] :
( sQ269_spl
<=> ( aElement0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f3117,plain,
( ~ sQ1_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f3076,f3114,f122]) ).
fof(f3118,definition,
! [X0,X1,X2] :
( sQ270_spl
<=> ( sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2) = xx
| aElementOf0(sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2),xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f3121,plain,
( ~ sQ1_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f3077,f3118,f122]) ).
fof(f3124,definition,
! [X0,X1,X2] :
( sQ271_spl
<=> ( aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X1),X0),X0),X2)
| ~ aSet0(X2)
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X1),X0),X0),X2) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(slcrc0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f3127,plain,
( ~ sQ6_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f3080,f3124,f146]) ).
fof(f3131,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0)) = X2
| aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f336]) ).
fof(f3133,plain,
! [X0,X1] :
( ~ sQ64_spl
| aElement0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0)))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aSet0(xS)
| ~ aElementOf0(X0,sdtpldt0(xS,X1)) ),
inference(resolution,[status(thm)],[f3131,f619]) ).
fof(f3134,plain,
! [X0,X1] :
( aElement0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ),
inference(resolution,[status(thm)],[f3131,f100]) ).
fof(f3135,plain,
! [X0,X1] :
( aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)),sdtpldt0(xS,xx))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ),
inference(resolution,[status(thm)],[f3131,f101]) ).
fof(f3142,plain,
! [X0,X1] :
( aElement0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f3131,f95]) ).
fof(f3143,plain,
! [X0,X1] :
( sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)) = xx
| aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),xS)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ),
inference(resolution,[status(thm)],[f3131,f96]) ).
fof(f3146,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aSet0(slcrc0)
| ~ aElementOf0(X0,sdtpldt0(slcrc0,X1)) ),
inference(resolution,[status(thm)],[f3131,f116]) ).
fof(f3149,definition,
! [X0,X1] :
( sQ272_spl
<=> ( aElement0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0)))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(xS,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f3152,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f3133,f3149,f180,f618]) ).
fof(f3153,definition,
! [X0,X1] :
( sQ273_spl
<=> ( aElement0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f3156,plain,
( ~ sQ28_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f3134,f3153,f294]) ).
fof(f3157,definition,
! [X0,X1] :
( sQ274_spl
<=> ( aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)),sdtpldt0(xS,xx))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f3160,plain,
( ~ sQ28_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f3135,f3157,f294]) ).
fof(f3166,definition,
! [X0,X1] :
( sQ275_spl
<=> ( aElement0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f3169,plain,
( ~ sQ1_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f3142,f3166,f122]) ).
fof(f3170,definition,
! [X0,X1] :
( sQ276_spl
<=> ( sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)) = xx
| aElementOf0(sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)),xS)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(sdtpldt0(xS,xx),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f3173,plain,
( ~ sQ1_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f3143,f3170,f122]) ).
fof(f3176,definition,
! [X0,X1] :
( sQ277_spl
<=> ( sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X1),X0),X0) = slcrc0
| sK0_skl(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X1),X0),X0)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X0,sdtpldt0(slcrc0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f3179,plain,
( ~ sQ6_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f3146,f3176,f146]) ).
fof(f3181,plain,
! [X0,X1,X2,X3,X4] :
( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4) = X3
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4),X4)
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(X4,X3)
| ~ aElement0(X3)
| ~ aSet0(X4)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,X4),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f336]) ).
fof(f3185,plain,
! [X0,X1,X2,X3] :
( ~ sQ64_spl
| aElement0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,xS))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,xS) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(xS,X3)
| ~ aElement0(X3)
| ~ aSet0(xS)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,xS) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,xS),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f3181,f619]) ).
fof(f3186,plain,
! [X0,X1,X2,X3] :
( aElement0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f3181,f100]) ).
fof(f3187,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f3181,f101]) ).
fof(f3194,plain,
! [X0,X1,X2,X3] :
( aElement0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f3181,f95]) ).
fof(f3195,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = xx
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),xS)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f3181,f96]) ).
fof(f3198,plain,
! [X0,X1,X2,X3] :
( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,slcrc0) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(slcrc0,X3)
| ~ aElement0(X3)
| ~ aSet0(slcrc0)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,slcrc0) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,slcrc0),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(resolution,[status(thm)],[f3181,f116]) ).
fof(f3202,definition,
! [X0,X1,X2,X3] :
( sQ278_spl
<=> ( aElement0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,xS))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,xS) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(xS,X3)
| ~ aElement0(X3)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,xS) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,xS),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f3205,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f3185,f3202,f180,f618]) ).
fof(f3206,definition,
! [X0,X1,X2,X3] :
( sQ279_spl
<=> ( aElement0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X3)
| ~ aElement0(X3)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f3209,plain,
( ~ sQ28_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f3186,f3206,f294]) ).
fof(f3210,definition,
! [X0,X1,X2,X3] :
( sQ280_spl
<=> ( aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X3)
| ~ aElement0(X3)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtmndt0(sdtpldt0(xS,xx),xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f3213,plain,
( ~ sQ28_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f3187,f3210,f294]) ).
fof(f3219,definition,
! [X0,X1,X2,X3] :
( sQ281_spl
<=> ( aElement0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)))
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f3222,plain,
( ~ sQ1_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f3194,f3219,f122]) ).
fof(f3223,definition,
! [X0,X1,X2,X3] :
( sQ282_spl
<=> ( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = xx
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),xS)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(sdtpldt0(xS,xx),X3)
| ~ aElement0(X3)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,sdtpldt0(xS,xx)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f3226,plain,
( ~ sQ1_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f3195,f3223,f122]) ).
fof(f3229,definition,
! [X0,X1,X2,X3] :
( sQ283_spl
<=> ( sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,slcrc0) = X3
| sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) = sdtpldt0(slcrc0,X3)
| ~ aElement0(X3)
| sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,slcrc0) = X2
| aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0),X3,slcrc0),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f3232,plain,
( ~ sQ6_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f3198,f3229,f146]) ).
fof(f3286,plain,
! [X0] :
( ~ sQ54_spl
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1087,f548]) ).
fof(f3289,plain,
! [X0] :
( ~ sQ72_spl
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1087,f690]) ).
fof(f3292,plain,
! [X0,X1] :
( ~ sQ64_spl
| aElement0(sK1_skl(sdtmndt0(xS,X0),X1))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1087,f619]) ).
fof(f3293,plain,
! [X0,X1] :
( aElement0(sK1_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1087,f100]) ).
fof(f3294,plain,
! [X0,X1] :
( aElementOf0(sK1_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1087,f101]) ).
fof(f3301,plain,
! [X0,X1] :
( aElement0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),X0),X1))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1087,f95]) ).
fof(f3302,plain,
! [X0,X1] :
( sK1_skl(sdtmndt0(sdtpldt0(xS,xx),X0),X1) = xx
| aElementOf0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),X0),X1),xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1087,f96]) ).
fof(f3305,plain,
! [X0,X1] :
( ~ aSet0(sdtmndt0(slcrc0,X0))
| aSubsetOf0(sdtmndt0(slcrc0,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f1087,f116]) ).
fof(f3307,definition,
! [X0] :
( sQ284_spl
<=> ( sK1_skl(sdtmndt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f3310,plain,
( ~ sQ54_spl
| ~ sQ28_spl
| sQ284_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3286,f122,f3307,f294,f547]) ).
fof(f3314,definition,
! [X0] :
( sQ285_spl
<=> ( ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f3317,plain,
( ~ sQ72_spl
| ~ sQ1_spl
| sQ285_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3289,f180,f3314,f122,f689]) ).
fof(f3320,definition,
! [X0,X1] :
( sQ286_spl
<=> ( aElement0(sK1_skl(sdtmndt0(xS,X0),X1))
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f3323,plain,
( ~ sQ64_spl
| sQ286_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3292,f180,f3320,f618]) ).
fof(f3324,definition,
! [X0,X1] :
( sQ287_spl
<=> ( aElement0(sK1_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f3327,plain,
( sQ287_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3293,f294,f3324]) ).
fof(f3328,definition,
! [X0,X1] :
( sQ288_spl
<=> ( aElementOf0(sK1_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| aSubsetOf0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f3331,plain,
( sQ288_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3294,f294,f3328]) ).
fof(f3336,definition,
! [X0,X1] :
( sQ289_spl
<=> ( aElement0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),X0),X1))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f3339,plain,
( sQ289_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3301,f122,f3336]) ).
fof(f3340,definition,
! [X0,X1] :
( sQ290_spl
<=> ( sK1_skl(sdtmndt0(sdtpldt0(xS,xx),X0),X1) = xx
| aElementOf0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),X0),X1),xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f3343,plain,
( sQ290_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3302,f122,f3340]) ).
fof(f3345,definition,
! [X0,X1] :
( sQ291_spl
<=> ( ~ aSet0(sdtmndt0(slcrc0,X0))
| aSubsetOf0(sdtmndt0(slcrc0,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f3348,plain,
( sQ291_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3305,f146,f3345]) ).
fof(f3353,plain,
! [X0] :
( ~ sQ64_spl
| aElement0(sK0_skl(sdtmndt0(xS,X0)))
| ~ aSet0(sdtmndt0(xS,X0))
| sdtmndt0(xS,X0) = slcrc0
| ~ aElementOf0(X0,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1088,f619]) ).
fof(f3354,plain,
! [X0] :
( aElement0(sK0_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = slcrc0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1088,f100]) ).
fof(f3355,plain,
! [X0] :
( aElementOf0(sK0_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = slcrc0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1088,f101]) ).
fof(f3362,plain,
! [X0] :
( aElement0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),X0)))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sdtmndt0(sdtpldt0(xS,xx),X0) = slcrc0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1088,f95]) ).
fof(f3363,plain,
! [X0] :
( sK0_skl(sdtmndt0(sdtpldt0(xS,xx),X0)) = xx
| aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),X0)),xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sdtmndt0(sdtpldt0(xS,xx),X0) = slcrc0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1088,f96]) ).
fof(f3366,plain,
! [X0] :
( ~ aSet0(sdtmndt0(slcrc0,X0))
| sdtmndt0(slcrc0,X0) = slcrc0
| ~ aElementOf0(X0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f1088,f116]) ).
fof(f3369,definition,
! [X0] :
( sQ292_spl
<=> ( aElement0(sK0_skl(sdtmndt0(xS,X0)))
| ~ aSet0(sdtmndt0(xS,X0))
| sdtmndt0(xS,X0) = slcrc0
| ~ aElementOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3372,plain,
( ~ sQ64_spl
| sQ292_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3353,f180,f3369,f618]) ).
fof(f3373,definition,
! [X0] :
( sQ293_spl
<=> ( aElement0(sK0_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = slcrc0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3376,plain,
( sQ293_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3354,f294,f3373]) ).
fof(f3377,definition,
! [X0] :
( sQ294_spl
<=> ( aElementOf0(sK0_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = slcrc0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3380,plain,
( sQ294_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3355,f294,f3377]) ).
fof(f3385,definition,
! [X0] :
( sQ295_spl
<=> ( aElement0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),X0)))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sdtmndt0(sdtpldt0(xS,xx),X0) = slcrc0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f3388,plain,
( sQ295_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3362,f122,f3385]) ).
fof(f3389,definition,
! [X0] :
( sQ296_spl
<=> ( sK0_skl(sdtmndt0(sdtpldt0(xS,xx),X0)) = xx
| aElementOf0(sK0_skl(sdtmndt0(sdtpldt0(xS,xx),X0)),xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sdtmndt0(sdtpldt0(xS,xx),X0) = slcrc0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3392,plain,
( sQ296_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3363,f122,f3389]) ).
fof(f3394,definition,
! [X0] :
( sQ297_spl
<=> ( ~ aSet0(sdtmndt0(slcrc0,X0))
| sdtmndt0(slcrc0,X0) = slcrc0
| ~ aElementOf0(X0,slcrc0) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3397,plain,
( sQ297_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f3366,f146,f3394]) ).
fof(f3399,plain,
( ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1556,f967]) ).
fof(f3400,plain,
~ sQ165_spl,
inference(contradiction_clause,[status(thm)],[f3399]) ).
fof(f3406,plain,
( sQ78_spl
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f751,f57]) ).
fof(f3408,plain,
( sQ78_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3406,f122,f749]) ).
fof(f3409,plain,
! [X0] :
( ~ sQ40_spl
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)) = X0
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1089,f760]) ).
fof(f3413,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| aElement0(sK2_skl(sdtmndt0(X0,X1),X2,xS))
| sK2_skl(sdtmndt0(X0,X1),X2,xS) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(xS,X2)
| ~ aElement0(X2)
| ~ aSet0(xS)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,xS),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1089,f619]) ).
fof(f3414,plain,
! [X0,X1,X2] :
( aElement0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1089,f100]) ).
fof(f3415,plain,
! [X0,X1,X2] :
( aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1089,f101]) ).
fof(f3422,plain,
! [X0,X1,X2] :
( aElement0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1089,f95]) ).
fof(f3423,plain,
! [X0,X1,X2] :
( sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = xx
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),xS)
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1089,f96]) ).
fof(f3426,plain,
! [X0,X1,X2] :
( sK2_skl(sdtmndt0(X0,X1),X2,slcrc0) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(slcrc0,X2)
| ~ aElement0(X2)
| ~ aSet0(slcrc0)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,slcrc0),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1089,f116]) ).
fof(f3428,plain,
( ~ sQ40_spl
| ~ sQ28_spl
| sQ235_spl
| ~ sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3409,f122,f166,f2801,f294,f400]) ).
fof(f3431,definition,
! [X0,X1,X2] :
( sQ298_spl
<=> ( aElement0(sK2_skl(sdtmndt0(X0,X1),X2,xS))
| sK2_skl(sdtmndt0(X0,X1),X2,xS) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(xS,X2)
| ~ aElement0(X2)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,xS),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3434,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3413,f3431,f180,f618]) ).
fof(f3435,definition,
! [X0,X1,X2] :
( sQ299_spl
<=> ( aElement0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3438,plain,
( ~ sQ28_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3414,f3435,f294]) ).
fof(f3439,definition,
! [X0,X1,X2] :
( sQ300_spl
<=> ( aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)
| ~ aElement0(X2)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3442,plain,
( ~ sQ28_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3415,f3439,f294]) ).
fof(f3447,definition,
! [X0,X1,X2] :
( sQ301_spl
<=> ( aElement0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)))
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3450,plain,
( ~ sQ1_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3422,f3447,f122]) ).
fof(f3451,definition,
! [X0,X1,X2] :
( sQ302_spl
<=> ( sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = xx
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),xS)
| sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(sdtpldt0(xS,xx),X2)
| ~ aElement0(X2)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,sdtpldt0(xS,xx)),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3454,plain,
( ~ sQ1_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3423,f3451,f122]) ).
fof(f3456,definition,
! [X0,X1,X2] :
( sQ303_spl
<=> ( sK2_skl(sdtmndt0(X0,X1),X2,slcrc0) = X2
| ~ aSet0(sdtmndt0(X0,X1))
| sdtmndt0(X0,X1) = sdtpldt0(slcrc0,X2)
| ~ aElement0(X2)
| aElementOf0(sK2_skl(sdtmndt0(X0,X1),X2,slcrc0),X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3459,plain,
( ~ sQ6_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3426,f3456,f146]) ).
fof(f3479,plain,
! [X0] :
( ~ sQ206_spl
| ~ sQ78_spl
| aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f750,f2112]) ).
fof(f3485,definition,
! [X0] :
( sQ304_spl
<=> ( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3488,plain,
( ~ sQ206_spl
| ~ sQ78_spl
| sQ304_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3479,f122,f3485,f749,f2026]) ).
fof(f3526,plain,
! [X0] :
( ~ sQ182_spl
| ~ aSet0(slcrc0)
| X0 = xx
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,slcrc0) ),
inference(resolution,[status(thm)],[f1747,f57]) ).
fof(f3528,plain,
( ~ sQ182_spl
| ~ sQ6_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3526,f252,f146,f1746]) ).
fof(f3540,plain,
! [X0] :
( ~ sQ206_spl
| ~ sQ166_spl
| aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1593,f2112]) ).
fof(f3542,plain,
! [X0] :
( ~ sQ166_spl
| aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1593,f542]) ).
fof(f3543,plain,
! [X0] :
( ~ sQ166_spl
| aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1593,f51]) ).
fof(f3544,plain,
( ~ sQ166_spl
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,xx)
| ~ aSubsetOf0(sdtpldt0(xS,xx),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1593,f357]) ).
fof(f3546,definition,
! [X0] :
( sQ305_spl
<=> ( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3549,plain,
( ~ sQ206_spl
| ~ sQ166_spl
| sQ305_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3540,f122,f3546,f1592,f2026]) ).
fof(f3554,definition,
! [X0] :
( sQ307_spl
<=> ( aSubsetOf0(X0,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3557,plain,
( ~ sQ166_spl
| sQ307_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3542,f122,f3554,f1592]) ).
fof(f3558,definition,
! [X0] :
( sQ308_spl
<=> ( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3561,plain,
( ~ sQ166_spl
| sQ308_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3543,f122,f3558,f1592]) ).
fof(f3562,definition,
( sQ309_spl
<=> sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,xx) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3563,plain,
( ~ sQ309_spl
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,xx) ),
inference(component_clause,[status(thm)],[f3562]) ).
fof(f3565,plain,
( ~ sQ166_spl
| sQ309_spl
| ~ sQ175_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3544,f122,f1677,f3562,f1592]) ).
fof(f3581,plain,
( ~ sQ2_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f2107]) ).
fof(f3591,plain,
! [X0,X1] :
( ~ sQ122_spl
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X1))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(X0,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X1)) = xx
| ~ aElementOf0(sK1_skl(X0,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X1)),sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1217,f1206]) ).
fof(f3592,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0),X1,X2),X2)
| sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0),X1,X2) = xx
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0),X1,X2),sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1217,f1205]) ).
fof(f3593,plain,
! [X0] :
( ~ sQ122_spl
| ~ aElementOf0(sK3_skl(X0,xx,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),xx)
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| sK3_skl(X0,xx,sdtpldt0(xS,xx)) = xx
| ~ aElementOf0(sK3_skl(X0,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1217,f84]) ).
fof(f3597,definition,
! [X0,X1] :
( sQ312_spl
<=> ( ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X1))
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(X0,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X1)) = xx
| ~ aElementOf0(sK1_skl(X0,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1),X1)),sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3600,plain,
( ~ sQ122_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3591,f3597,f122,f169,f1216]) ).
fof(f3601,definition,
! [X0,X1,X2] :
( sQ313_spl
<=> ( ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0),X1,X2),X2)
| sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0),X1,X2) = xx
| ~ aElementOf0(sK2_skl(sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0),X0),X1,X2),sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3604,plain,
( ~ sQ122_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3592,f3601,f122,f169,f1216]) ).
fof(f3605,definition,
! [X0] :
( sQ314_spl
<=> ( ~ aElementOf0(sK3_skl(X0,xx,sdtpldt0(xS,xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(xS,xx),xx)
| sK3_skl(X0,xx,sdtpldt0(xS,xx)) = xx
| ~ aElementOf0(sK3_skl(X0,xx,sdtpldt0(xS,xx)),sdtpldt0(xS,xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3608,plain,
( ~ sQ122_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3593,f3605,f122,f169,f1216]) ).
fof(f3651,plain,
! [X0] :
( ~ sQ136_spl
| aElementOf0(sK3_skl(xS,X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aSet0(xS)
| xS = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(xS,X0,sdtpldt0(xS,xx)),xS)
| ~ aSet0(xS)
| xS = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(xS,X0,sdtpldt0(xS,xx)) = X0 ),
inference(resolution,[status(thm)],[f1314,f511]) ).
fof(f3652,definition,
! [X0] :
( sQ315_spl
<=> ( aElementOf0(sK3_skl(xS,X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| xS = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aElementOf0(sK3_skl(xS,X0,sdtpldt0(xS,xx)),xS)
| xS = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(xS,X0,sdtpldt0(xS,xx)) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3655,plain,
( ~ sQ136_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3651,f3652,f180,f122,f1313]) ).
fof(f3700,plain,
! [X0,X1,X2] :
( sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)),sdtpldt0(xS,xx))
| sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = X2
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1285,f443]) ).
fof(f3708,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1285,f1245]) ).
fof(f3709,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ107_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1285,f1109]) ).
fof(f3710,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ97_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1285,f1010]) ).
fof(f3711,plain,
! [X0,X1,X2,X3] :
( ~ sQ92_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X3)
| ~ aSubsetOf0(X3,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1285,f954]) ).
fof(f3712,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1285,f662]) ).
fof(f3719,definition,
! [X0,X1,X2] :
( sQ316_spl
<=> ( sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)),sdtpldt0(xS,xx))
| sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = X2
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3722,plain,
( ~ sQ28_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3700,f3719,f294]) ).
fof(f3729,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ317_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3732,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3708,f3729,f122,f1244]) ).
fof(f3733,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ318_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3736,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3709,f3733,f122,f1108]) ).
fof(f3737,definition,
! [X0,X1,X2,X3,X4] :
( sQ319_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3740,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3710,f3737,f122,f1009]) ).
fof(f3741,definition,
! [X0,X1,X2,X3] :
( sQ320_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X3)
| ~ aSubsetOf0(X3,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3744,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3711,f3741,f122,f953]) ).
fof(f3745,definition,
! [X0,X1,X2] :
( sQ321_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X2
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3748,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3712,f3745,f122,f618]) ).
fof(f3751,plain,
! [X0,X1] :
( ~ sQ122_spl
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1 ),
inference(resolution,[status(thm)],[f1298,f1217]) ).
fof(f3754,plain,
( ~ sQ122_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3751,f1294,f122,f169,f1216]) ).
fof(f3758,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2)),sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2)) = X1 ),
inference(resolution,[status(thm)],[f1299,f1217]) ).
fof(f3761,definition,
! [X0,X1,X2] :
( sQ322_spl
<=> ( sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2)),sdtpldt0(xS,xx))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3764,plain,
( ~ sQ122_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3758,f3761,f122,f169,f1216]) ).
fof(f3779,plain,
( ~ sQ309_spl
| ~ aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(backward_demodulation,[status(thm)],[f3563,f967]) ).
fof(f3855,plain,
( ~ sQ309_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3779,f167]) ).
fof(f3856,plain,
( ~ sQ309_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3855]) ).
fof(f4004,plain,
! [X0,X1,X2,X3] :
( ~ sQ106_spl
| ~ aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,xS)
| sdtpldt0(xS,xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1985,f1105]) ).
fof(f4005,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| ~ aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,xS)
| sdtpldt0(xS,xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1985,f1006]) ).
fof(f4006,plain,
! [X0,X1] :
( ~ sQ91_spl
| ~ aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSubsetOf0(X1,xS)
| sdtpldt0(xS,xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1985,f950]) ).
fof(f4007,plain,
! [X0] :
( ~ sQ80_spl
| ~ aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),xS)
| sdtpldt0(xS,xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1985,f771]) ).
fof(f4011,definition,
! [X0,X1,X2,X3] :
( sQ323_spl
<=> ( ~ aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X3)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,xS)
| sdtpldt0(xS,xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f4014,plain,
( ~ sQ106_spl
| sQ323_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4004,f122,f4011,f1104]) ).
fof(f4015,definition,
! [X0,X1,X2] :
( sQ324_spl
<=> ( ~ aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,xS)
| sdtpldt0(xS,xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f4018,plain,
( ~ sQ96_spl
| sQ324_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4005,f122,f4015,f1005]) ).
fof(f4019,definition,
! [X0,X1] :
( sQ325_spl
<=> ( ~ aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aSubsetOf0(X1,xS)
| sdtpldt0(xS,xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f4022,plain,
( ~ sQ91_spl
| sQ325_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4006,f122,f4019,f949]) ).
fof(f4023,definition,
! [X0] :
( sQ326_spl
<=> ( ~ aSubsetOf0(sdtpldt0(sdtpldt0(xS,xx),X0),xS)
| sdtpldt0(xS,xx) = sdtpldt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f4026,plain,
( ~ sQ80_spl
| sQ326_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4007,f122,f4023,f770]) ).
fof(f4065,plain,
! [X0,X1,X2,X3] :
( sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3)),sdtpldt0(xS,xx))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3)) = X1 ),
inference(resolution,[status(thm)],[f1300,f443]) ).
fof(f4073,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ125_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X7)
| ~ aSubsetOf0(X7,X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ),
inference(resolution,[status(thm)],[f1300,f1245]) ).
fof(f4074,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ107_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ),
inference(resolution,[status(thm)],[f1300,f1109]) ).
fof(f4075,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ97_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ),
inference(resolution,[status(thm)],[f1300,f1010]) ).
fof(f4076,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ92_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X4)
| ~ aSubsetOf0(X4,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ),
inference(resolution,[status(thm)],[f1300,f954]) ).
fof(f4077,plain,
! [X0,X1,X2,X3] :
( ~ sQ64_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ),
inference(resolution,[status(thm)],[f1300,f662]) ).
fof(f4084,definition,
! [X0,X1,X2,X3] :
( sQ327_spl
<=> ( sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3)),sdtpldt0(xS,xx))
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f4087,plain,
( ~ sQ28_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f4065,f4084,f294]) ).
fof(f4094,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ328_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X7)
| ~ aSubsetOf0(X7,X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f4097,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f4073,f4094,f122,f1244]) ).
fof(f4098,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ329_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f4101,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4074,f4098,f122,f1108]) ).
fof(f4102,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ330_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,xS)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f4105,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4075,f4102,f122,f1009]) ).
fof(f4106,definition,
! [X0,X1,X2,X3,X4] :
( sQ331_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X4)
| ~ aSubsetOf0(X4,xS)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f4109,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f4076,f4106,f122,f953]) ).
fof(f4110,definition,
! [X0,X1,X2,X3] :
( sQ332_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),xS)
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f4113,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f4077,f4110,f122,f618]) ).
fof(f4128,plain,
! [X0] :
( ~ sQ132_spl
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK3_skl(sdtpldt0(xS,xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(xS,xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0 ),
inference(resolution,[status(thm)],[f1295,f511]) ).
fof(f4134,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1 ),
inference(resolution,[status(thm)],[f1295,f1993]) ).
fof(f4135,plain,
! [X0,X1] :
( ~ sQ132_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1 ),
inference(resolution,[status(thm)],[f1295,f175]) ).
fof(f4136,definition,
! [X0] :
( sQ333_spl
<=> ( aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(xS,xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(xS,xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f4139,plain,
( ~ sQ132_spl
| ~ sQ28_spl
| ~ sQ1_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f4128,f4136,f122,f294,f1294]) ).
fof(f4140,definition,
! [X0,X1,X2] :
( sQ334_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X2)
| ~ aSubsetOf0(X2,xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f4143,plain,
( ~ sQ132_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f4134,f4140,f180,f169,f1294]) ).
fof(f4144,definition,
! [X0,X1] :
( sQ335_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f4147,plain,
( ~ sQ132_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f4135,f4144,f180,f169,f1294]) ).
fof(f4153,plain,
! [X0,X1,X2] :
( sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)),sdtpldt0(xS,xx))
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1317,f443]) ).
fof(f4161,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ125_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1317,f1245]) ).
fof(f4162,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ107_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1317,f1109]) ).
fof(f4163,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ97_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1317,f1010]) ).
fof(f4164,plain,
! [X0,X1,X2,X3] :
( ~ sQ92_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1317,f954]) ).
fof(f4165,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ),
inference(resolution,[status(thm)],[f1317,f662]) ).
fof(f4172,definition,
! [X0,X1,X2] :
( sQ336_spl
<=> ( sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = xx
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)),sdtpldt0(xS,xx))
| ~ aElement0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f4175,plain,
( ~ sQ28_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f4153,f4172,f294]) ).
fof(f4182,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ337_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f4185,plain,
( ~ sQ125_spl
| ~ sQ1_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f4161,f4182,f122,f1244]) ).
fof(f4186,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ338_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f4189,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4162,f4186,f122,f1108]) ).
fof(f4190,definition,
! [X0,X1,X2,X3,X4] :
( sQ339_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X4)
| ~ aSubsetOf0(X4,X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f4193,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4163,f4190,f122,f1009]) ).
fof(f4194,definition,
! [X0,X1,X2,X3] :
( sQ340_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X3)
| ~ aSubsetOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f4197,plain,
( ~ sQ92_spl
| ~ sQ1_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4164,f4194,f122,f953]) ).
fof(f4198,definition,
! [X0,X1,X2] :
( sQ341_spl
<=> ( ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),xS)
| ~ aElement0(X2)
| ~ aElementOf0(sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)),X0)
| ~ aSet0(X0)
| X0 = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X1)
| ~ aElement0(X1)
| sK3_skl(X0,X1,sdtpldt0(sdtpldt0(xS,xx),X2)) = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f4201,plain,
( ~ sQ64_spl
| ~ sQ1_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f4165,f4198,f122,f618]) ).
fof(f4220,plain,
( ~ sQ227_spl
| ~ aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtpldt0(slcrc0,xx) = slcrc0
| ~ aElement0(xx) ),
inference(resolution,[status(thm)],[f2708,f102]) ).
fof(f4221,plain,
( ~ sQ227_spl
| ~ aElement0(sK0_skl(sdtpldt0(slcrc0,xx)))
| aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),sdtpldt0(xS,xx))
| sdtpldt0(slcrc0,xx) = slcrc0
| ~ aElement0(xx) ),
inference(resolution,[status(thm)],[f2708,f98]) ).
fof(f4225,definition,
( sQ342_spl
<=> sdtpldt0(slcrc0,xx) = slcrc0 ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f4226,plain,
( ~ sQ342_spl
| sdtpldt0(slcrc0,xx) = slcrc0 ),
inference(component_clause,[status(thm)],[f4225]) ).
fof(f4228,definition,
( sQ343_spl
<=> aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f4231,plain,
( ~ sQ227_spl
| ~ sQ343_spl
| sQ342_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4220,f169,f4225,f4228,f2707]) ).
fof(f4232,definition,
( sQ344_spl
<=> aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),sdtpldt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f4233,plain,
( ~ sQ344_spl
| aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),sdtpldt0(xS,xx)) ),
inference(component_clause,[status(thm)],[f4232]) ).
fof(f4235,definition,
( sQ345_spl
<=> aElement0(sK0_skl(sdtpldt0(slcrc0,xx))) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f4238,plain,
( ~ sQ227_spl
| ~ sQ345_spl
| sQ344_spl
| sQ342_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4221,f169,f4225,f4232,f4235,f2707]) ).
fof(f4257,plain,
( ~ sQ342_spl
| aElementOf0(xx,slcrc0)
| ~ aElement0(xx)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f4226,f112]) ).
fof(f4308,plain,
( ~ sQ342_spl
| sQ18_spl
| ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4257,f146,f169,f244,f4225]) ).
fof(f4394,definition,
( sQ371_spl
<=> sK0_skl(sdtpldt0(slcrc0,xx)) = xx ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f4395,plain,
( ~ sQ371_spl
| sK0_skl(sdtpldt0(slcrc0,xx)) = xx ),
inference(component_clause,[status(thm)],[f4394]) ).
fof(f4467,plain,
! [X0,X1] :
( ~ sQ132_spl
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),X1))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X1))
| sdtmndt0(sdtpldt0(xS,xx),X1) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X1))
| sdtmndt0(sdtpldt0(xS,xx),X1) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1324,f1295]) ).
fof(f4470,plain,
! [X0,X1] :
( ~ sQ136_spl
| ~ aElementOf0(sK3_skl(sdtmndt0(xS,X1),X0,sdtpldt0(xS,xx)),sdtmndt0(xS,X1))
| ~ aSet0(sdtmndt0(xS,X1))
| sdtmndt0(xS,X1) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtmndt0(xS,X1),X0,sdtpldt0(xS,xx)) = X0
| ~ aElementOf0(X1,xS)
| ~ aSet0(xS)
| aElementOf0(sK3_skl(sdtmndt0(xS,X1),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,X1))
| sdtmndt0(xS,X1) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1324,f1314]) ).
fof(f4475,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| aElement0(sK3_skl(sdtmndt0(xS,X2),X1,X0))
| ~ aElementOf0(X2,xS)
| ~ aSet0(xS)
| aElementOf0(sK3_skl(sdtmndt0(xS,X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(xS,X2))
| sdtmndt0(xS,X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1324,f619]) ).
fof(f4477,plain,
! [X0,X1,X2] :
( aElementOf0(sK3_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),sdtpldt0(xS,xx))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1324,f101]) ).
fof(f4478,plain,
! [X0,X1,X2] :
( aElement0(sK3_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1324,f100]) ).
fof(f4485,plain,
! [X0,X1,X2] :
( aElement0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0))
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sdtmndt0(sdtpldt0(xS,xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1324,f95]) ).
fof(f4486,plain,
! [X0,X1,X2] :
( sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0) = xx
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0),xS)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sdtmndt0(sdtpldt0(xS,xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1324,f96]) ).
fof(f4489,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,slcrc0)
| ~ aSet0(slcrc0)
| aElementOf0(sK3_skl(sdtmndt0(slcrc0,X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(slcrc0,X2))
| sdtmndt0(slcrc0,X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1324,f116]) ).
fof(f4491,definition,
! [X0,X1] :
( sQ387_spl
<=> ( sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),X1))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X1))
| sdtmndt0(sdtpldt0(xS,xx),X1) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X1))
| sdtmndt0(sdtpldt0(xS,xx),X1) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f4494,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| sQ387_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4467,f294,f4491,f122,f1294]) ).
fof(f4499,definition,
! [X0,X1] :
( sQ388_spl
<=> ( ~ aElementOf0(sK3_skl(sdtmndt0(xS,X1),X0,sdtpldt0(xS,xx)),sdtmndt0(xS,X1))
| ~ aSet0(sdtmndt0(xS,X1))
| sdtmndt0(xS,X1) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtmndt0(xS,X1),X0,sdtpldt0(xS,xx)) = X0
| ~ aElementOf0(X1,xS)
| aElementOf0(sK3_skl(sdtmndt0(xS,X1),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,X1))
| sdtmndt0(xS,X1) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f4502,plain,
( ~ sQ136_spl
| ~ sQ11_spl
| sQ388_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4470,f122,f4499,f180,f1313]) ).
fof(f4508,definition,
! [X0,X1,X2] :
( sQ389_spl
<=> ( aElement0(sK3_skl(sdtmndt0(xS,X2),X1,X0))
| ~ aElementOf0(X2,xS)
| aElementOf0(sK3_skl(sdtmndt0(xS,X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(xS,X2))
| sdtmndt0(xS,X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f4511,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f4475,f4508,f180,f618]) ).
fof(f4513,definition,
! [X0,X1,X2] :
( sQ390_spl
<=> ( aElementOf0(sK3_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),sdtpldt0(xS,xx))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f4516,plain,
( ~ sQ28_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f4477,f4513,f294]) ).
fof(f4517,definition,
! [X0,X1,X2] :
( sQ391_spl
<=> ( aElement0(sK3_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0))
| ~ aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f4520,plain,
( ~ sQ28_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f4478,f4517,f294]) ).
fof(f4525,definition,
! [X0,X1,X2] :
( sQ392_spl
<=> ( aElement0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0))
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sdtmndt0(sdtpldt0(xS,xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f4528,plain,
( ~ sQ1_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f4485,f4525,f122]) ).
fof(f4529,definition,
! [X0,X1,X2] :
( sQ393_spl
<=> ( sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0) = xx
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0),xS)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X2))
| sdtmndt0(sdtpldt0(xS,xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f4532,plain,
( ~ sQ1_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f4486,f4529,f122]) ).
fof(f4534,definition,
! [X0,X1,X2] :
( sQ394_spl
<=> ( ~ aElementOf0(X2,slcrc0)
| aElementOf0(sK3_skl(sdtmndt0(slcrc0,X2),X1,X0),X0)
| ~ aSet0(sdtmndt0(slcrc0,X2))
| sdtmndt0(slcrc0,X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f4537,plain,
( ~ sQ6_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f4489,f4534,f146]) ).
fof(f4553,plain,
! [X0,X1,X2] :
( ~ sQ132_spl
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X2,sdtpldt0(sdtpldt0(xS,xx),X1))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1349,f1295]) ).
fof(f4556,plain,
! [X0,X1,X2] :
( ~ sQ136_spl
| ~ aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2),X0,sdtpldt0(xS,xx)),sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2),X0,sdtpldt0(xS,xx)) = X0
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2),X0,sdtpldt0(xS,xx)) = X1
| ~ aElement0(X1)
| ~ aSet0(xS)
| ~ aElementOf0(X2,sdtpldt0(xS,X1))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1349,f1314]) ).
fof(f4561,plain,
! [X0,X1,X2,X3] :
( ~ sQ64_spl
| aElement0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X2),X3),X3),X1,X0))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(xS)
| ~ aElementOf0(X3,sdtpldt0(xS,X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(xS,X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1349,f619]) ).
fof(f4563,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0),sdtpldt0(xS,xx))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1349,f101]) ).
fof(f4564,plain,
! [X0,X1,X2,X3] :
( aElement0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1349,f100]) ).
fof(f4571,plain,
! [X0,X1,X2,X3] :
( aElement0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1349,f95]) ).
fof(f4572,plain,
! [X0,X1,X2,X3] :
( sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0),xS)
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1349,f96]) ).
fof(f4575,plain,
! [X0,X1,X2,X3] :
( sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(slcrc0)
| ~ aElementOf0(X3,sdtpldt0(slcrc0,X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1349,f116]) ).
fof(f4577,definition,
! [X0,X1,X2] :
( sQ395_spl
<=> ( sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt0(sdtpldt0(xS,xx),X1))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X1),X2),X2) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f4580,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| sQ395_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4553,f294,f4577,f122,f1294]) ).
fof(f4585,definition,
! [X0,X1,X2] :
( sQ396_spl
<=> ( ~ aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2),X0,sdtpldt0(xS,xx)),sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2),X0,sdtpldt0(xS,xx)) = X0
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2),X0,sdtpldt0(xS,xx)) = X1
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt0(xS,X1))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtpldt0(sdtmndt0(sdtpldt0(xS,X1),X2),X2) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f4588,plain,
( ~ sQ136_spl
| ~ sQ11_spl
| sQ396_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4556,f122,f4585,f180,f1313]) ).
fof(f4594,definition,
! [X0,X1,X2,X3] :
( sQ397_spl
<=> ( aElement0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X2),X3),X3),X1,X0))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(xS,X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(xS,X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f4597,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f4561,f4594,f180,f618]) ).
fof(f4599,definition,
! [X0,X1,X2,X3] :
( sQ398_spl
<=> ( aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0),sdtpldt0(xS,xx))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f4602,plain,
( ~ sQ28_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f4563,f4599,f294]) ).
fof(f4603,definition,
! [X0,X1,X2,X3] :
( sQ399_spl
<=> ( aElement0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f4606,plain,
( ~ sQ28_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f4564,f4603,f294]) ).
fof(f4612,definition,
! [X0,X1,X2,X3] :
( sQ400_spl
<=> ( aElement0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f4615,plain,
( ~ sQ1_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f4571,f4612,f122]) ).
fof(f4616,definition,
! [X0,X1,X2,X3] :
( sQ401_spl
<=> ( sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0),xS)
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(sdtpldt0(xS,xx),X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f4619,plain,
( ~ sQ1_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f4572,f4616,f122]) ).
fof(f4622,definition,
! [X0,X1,X2,X3] :
( sQ402_spl
<=> ( sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X2),X3),X3),X1,X0) = X2
| ~ aElement0(X2)
| ~ aElementOf0(X3,sdtpldt0(slcrc0,X2))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X2),X3),X3),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(slcrc0,X2),X3),X3) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f4625,plain,
( ~ sQ6_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f4575,f4622,f146]) ).
fof(f4634,plain,
( ~ sQ344_spl
| sK0_skl(sdtpldt0(slcrc0,xx)) = xx
| aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),xS) ),
inference(resolution,[status(thm)],[f4233,f96]) ).
fof(f4636,plain,
( ~ sQ344_spl
| aElement0(sK0_skl(sdtpldt0(slcrc0,xx)))
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f4233,f140]) ).
fof(f4638,definition,
( sQ403_spl
<=> aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),xS) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f4639,plain,
( ~ sQ403_spl
| aElementOf0(sK0_skl(sdtpldt0(slcrc0,xx)),xS) ),
inference(component_clause,[status(thm)],[f4638]) ).
fof(f4641,plain,
( ~ sQ344_spl
| sQ371_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f4634,f4638,f4394,f4232]) ).
fof(f4643,plain,
( ~ sQ344_spl
| sQ345_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4636,f180,f169,f4235,f4232]) ).
fof(f4645,plain,
! [X0,X1] :
( ~ sQ140_spl
| sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)) = X0
| ~ aElementOf0(X0,xS)
| ~ aSet0(xS)
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtmndt0(xS,X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,X0))
| sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)) = X1
| sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)),sdtmndt0(xS,X0))
| sdtpldt0(xS,xx) = sdtmndt0(sdtmndt0(xS,X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,X0)) ),
inference(resolution,[status(thm)],[f1351,f1285]) ).
fof(f4646,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| ~ aElement0(X0)
| ~ aSet0(xS)
| ~ aElementOf0(X1,sdtpldt0(xS,X0))
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),X2)
| ~ aElement0(X2)
| sK3_skl(sdtpldt0(xS,xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) = X2
| sK3_skl(sdtpldt0(xS,xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)),sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) ),
inference(resolution,[status(thm)],[f1351,f1300]) ).
fof(f4647,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ140_spl
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(xS,xx),X0,sdtpldt0(xS,xx)) = X0
| sK3_skl(sdtpldt0(xS,xx),X0,sdtpldt0(xS,xx)) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1351,f1314]) ).
fof(f4648,plain,
! [X0,X1] :
( ~ sQ140_spl
| ~ aElement0(X0)
| ~ aSet0(xS)
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,sdtpldt0(xS,X0)),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(xS,X0),X1)
| ~ aElement0(X1)
| sK3_skl(sdtpldt0(xS,xx),X1,sdtpldt0(xS,X0)) = X1
| sK3_skl(sdtpldt0(xS,xx),X1,sdtpldt0(xS,X0)) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,sdtpldt0(xS,X0)),sdtpldt0(xS,X0))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(xS,X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,X0)) ),
inference(resolution,[status(thm)],[f1351,f1317]) ).
fof(f4649,plain,
! [X0] :
( ~ sQ140_spl
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,xS),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(xS,X0)
| ~ aElement0(X0)
| ~ aSet0(xS)
| sK3_skl(sdtpldt0(xS,xx),X0,xS) = X0
| sK3_skl(sdtpldt0(xS,xx),X0,xS) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,xS),xS)
| sdtpldt0(xS,xx) = sdtmndt0(xS,X0)
| ~ aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1351,f518]) ).
fof(f4651,plain,
! [X0,X1] :
( ~ sQ140_spl
| aElement0(sK3_skl(sdtpldt0(xS,xx),X1,X0))
| ~ aSet0(xS)
| sK3_skl(sdtpldt0(xS,xx),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1351,f29]) ).
fof(f4652,definition,
! [X0,X1] :
( sQ404_spl
<=> ( sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)) = X0
| ~ aElementOf0(X0,xS)
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtmndt0(xS,X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,X0))
| sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)) = X1
| sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,sdtmndt0(xS,X0)),sdtmndt0(xS,X0))
| sdtpldt0(xS,xx) = sdtmndt0(sdtmndt0(xS,X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(xS,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f4655,plain,
( ~ sQ140_spl
| ~ sQ11_spl
| ~ sQ1_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f4645,f4652,f122,f180,f1350]) ).
fof(f4656,definition,
! [X0,X1,X2] :
( sQ405_spl
<=> ( ~ aElement0(X0)
| ~ aElementOf0(X1,sdtpldt0(xS,X0))
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),X2)
| ~ aElement0(X2)
| sK3_skl(sdtpldt0(xS,xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) = X2
| sK3_skl(sdtpldt0(xS,xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)),sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f4659,plain,
( ~ sQ140_spl
| ~ sQ11_spl
| ~ sQ1_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f4646,f4656,f122,f180,f1350]) ).
fof(f4660,definition,
! [X0] :
( sQ406_spl
<=> ( ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(xS,xx),X0,sdtpldt0(xS,xx)) = X0
| sK3_skl(sdtpldt0(xS,xx),X0,sdtpldt0(xS,xx)) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f4663,plain,
( ~ sQ136_spl
| ~ sQ140_spl
| sQ406_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4647,f122,f4660,f1350,f1313]) ).
fof(f4664,definition,
! [X0,X1] :
( sQ407_spl
<=> ( ~ aElement0(X0)
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,sdtpldt0(xS,X0)),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(xS,X0),X1)
| ~ aElement0(X1)
| sK3_skl(sdtpldt0(xS,xx),X1,sdtpldt0(xS,X0)) = X1
| sK3_skl(sdtpldt0(xS,xx),X1,sdtpldt0(xS,X0)) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,sdtpldt0(xS,X0)),sdtpldt0(xS,X0))
| sdtpldt0(xS,xx) = sdtmndt0(sdtpldt0(xS,X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f4667,plain,
( ~ sQ140_spl
| ~ sQ11_spl
| ~ sQ1_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f4648,f4664,f122,f180,f1350]) ).
fof(f4668,definition,
! [X0] :
( sQ408_spl
<=> ( ~ aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,xS),sdtpldt0(xS,xx))
| sdtpldt0(xS,xx) = sdtmndt0(xS,X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(xS,xx),X0,xS) = X0
| sK3_skl(sdtpldt0(xS,xx),X0,xS) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X0,xS),xS)
| sdtpldt0(xS,xx) = sdtmndt0(xS,X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f4671,plain,
( ~ sQ140_spl
| ~ sQ1_spl
| sQ408_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4649,f180,f4668,f122,f1350]) ).
fof(f4673,definition,
! [X0,X1] :
( sQ409_spl
<=> ( aElement0(sK3_skl(sdtpldt0(xS,xx),X1,X0))
| sK3_skl(sdtpldt0(xS,xx),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(xS,xx),X1,X0),X0)
| sdtpldt0(xS,xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f4676,plain,
( ~ sQ140_spl
| ~ sQ11_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f4651,f4673,f180,f1350]) ).
fof(f4682,plain,
! [X0,X1] :
( ~ sQ132_spl
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(sdtpldt0(xS,xx),X1))
| ~ aSet0(sdtpldt0(sdtpldt0(xS,xx),X1))
| sdtpldt0(sdtpldt0(xS,xx),X1) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtpldt0(sdtpldt0(xS,xx),X1) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1358,f1295]) ).
fof(f4685,plain,
! [X0,X1] :
( ~ sQ136_spl
| ~ aElementOf0(sK3_skl(sdtpldt0(xS,X1),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,X1))
| ~ aSet0(sdtpldt0(xS,X1))
| sdtpldt0(xS,X1) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(xS,X1),X0,sdtpldt0(xS,xx)) = X0
| sK3_skl(sdtpldt0(xS,X1),X0,sdtpldt0(xS,xx)) = X1
| ~ aElement0(X1)
| ~ aSet0(xS)
| aElementOf0(sK3_skl(sdtpldt0(xS,X1),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtpldt0(xS,X1) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1358,f1314]) ).
fof(f4690,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| aElement0(sK3_skl(sdtpldt0(xS,X2),X1,X0))
| sK3_skl(sdtpldt0(xS,X2),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(xS)
| aElementOf0(sK3_skl(sdtpldt0(xS,X2),X1,X0),X0)
| sdtpldt0(xS,X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1358,f619]) ).
fof(f4692,plain,
! [X0,X1,X2] :
( aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),sdtpldt0(xS,xx))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1358,f101]) ).
fof(f4693,plain,
! [X0,X1,X2] :
( aElement0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1358,f100]) ).
fof(f4700,plain,
! [X0,X1,X2] :
( aElement0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0))
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1358,f95]) ).
fof(f4701,plain,
! [X0,X1,X2] :
( sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),xS)
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1358,f96]) ).
fof(f4704,plain,
! [X0,X1,X2] :
( sK3_skl(sdtpldt0(slcrc0,X2),X1,X0) = X2
| ~ aElement0(X2)
| ~ aSet0(slcrc0)
| aElementOf0(sK3_skl(sdtpldt0(slcrc0,X2),X1,X0),X0)
| sdtpldt0(slcrc0,X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1358,f116]) ).
fof(f4706,definition,
! [X0,X1] :
( sQ410_spl
<=> ( sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(sdtpldt0(xS,xx),X1))
| ~ aSet0(sdtpldt0(sdtpldt0(xS,xx),X1))
| sdtpldt0(sdtpldt0(xS,xx),X1) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X1
| ~ aElement0(X1)
| aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X1),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtpldt0(sdtpldt0(xS,xx),X1) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f4709,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| sQ410_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4682,f294,f4706,f122,f1294]) ).
fof(f4714,definition,
! [X0,X1] :
( sQ411_spl
<=> ( ~ aElementOf0(sK3_skl(sdtpldt0(xS,X1),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,X1))
| ~ aSet0(sdtpldt0(xS,X1))
| sdtpldt0(xS,X1) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtpldt0(xS,X1),X0,sdtpldt0(xS,xx)) = X0
| sK3_skl(sdtpldt0(xS,X1),X0,sdtpldt0(xS,xx)) = X1
| ~ aElement0(X1)
| aElementOf0(sK3_skl(sdtpldt0(xS,X1),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtpldt0(xS,X1) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f4717,plain,
( ~ sQ136_spl
| ~ sQ11_spl
| sQ411_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4685,f122,f4714,f180,f1313]) ).
fof(f4723,definition,
! [X0,X1,X2] :
( sQ412_spl
<=> ( aElement0(sK3_skl(sdtpldt0(xS,X2),X1,X0))
| sK3_skl(sdtpldt0(xS,X2),X1,X0) = X2
| ~ aElement0(X2)
| aElementOf0(sK3_skl(sdtpldt0(xS,X2),X1,X0),X0)
| sdtpldt0(xS,X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f4726,plain,
( ~ sQ64_spl
| ~ sQ11_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f4690,f4723,f180,f618]) ).
fof(f4728,definition,
! [X0,X1,X2] :
( sQ413_spl
<=> ( aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),sdtpldt0(xS,xx))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0) = X2
| ~ aElement0(X2)
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f4731,plain,
( ~ sQ28_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f4692,f4728,f294]) ).
fof(f4732,definition,
! [X0,X1,X2] :
( sQ414_spl
<=> ( aElement0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0))
| sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0) = X2
| ~ aElement0(X2)
| aElementOf0(sK3_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2),X1,X0),X0)
| sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f4735,plain,
( ~ sQ28_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f4693,f4732,f294]) ).
fof(f4741,definition,
! [X0,X1,X2] :
( sQ415_spl
<=> ( aElement0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0))
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0) = X2
| ~ aElement0(X2)
| aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f4744,plain,
( ~ sQ1_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f4700,f4741,f122]) ).
fof(f4745,definition,
! [X0,X1,X2] :
( sQ416_spl
<=> ( sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0) = xx
| aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),xS)
| sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0) = X2
| ~ aElement0(X2)
| aElementOf0(sK3_skl(sdtpldt0(sdtpldt0(xS,xx),X2),X1,X0),X0)
| sdtpldt0(sdtpldt0(xS,xx),X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f4748,plain,
( ~ sQ1_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f4701,f4745,f122]) ).
fof(f4751,definition,
! [X0,X1,X2] :
( sQ417_spl
<=> ( sK3_skl(sdtpldt0(slcrc0,X2),X1,X0) = X2
| ~ aElement0(X2)
| aElementOf0(sK3_skl(sdtpldt0(slcrc0,X2),X1,X0),X0)
| sdtpldt0(slcrc0,X2) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f4754,plain,
( ~ sQ6_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f4704,f4751,f146]) ).
fof(f4763,plain,
( ~ sQ403_spl
| aElement0(sK0_skl(sdtpldt0(slcrc0,xx)))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f4639,f29]) ).
fof(f4764,plain,
( ~ sQ403_spl
| sQ345_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4763,f180,f4235,f4638]) ).
fof(f4772,plain,
( ~ sQ371_spl
| aElementOf0(xx,sdtpldt0(slcrc0,xx))
| ~ aSet0(sdtpldt0(slcrc0,xx))
| sdtpldt0(slcrc0,xx) = slcrc0 ),
inference(paramodulation,[status(thm)],[f4395,f38]) ).
fof(f4778,plain,
( ~ sQ371_spl
| sQ154_spl
| ~ sQ150_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4772,f4225,f1442,f1458,f4394]) ).
fof(f4785,plain,
! [X0] :
( ~ sQ132_spl
| ~ sQ138_spl
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1340,f1295]) ).
fof(f4786,plain,
! [X0,X1] :
( ~ sQ138_spl
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtmndt0(sdtpldt0(xS,xx),X0)),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X1
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtmndt0(sdtpldt0(xS,xx),X0)),sdtmndt0(sdtpldt0(xS,xx),X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0)) ),
inference(resolution,[status(thm)],[f1340,f1285]) ).
fof(f4787,plain,
! [X0,X1,X2] :
( ~ sQ138_spl
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1)),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1),X2)
| ~ aElement0(X2)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1)) = X2
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1)),sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1)) ),
inference(resolution,[status(thm)],[f1340,f1300]) ).
fof(f4788,plain,
! [X0,X1] :
( ~ sQ138_spl
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtpldt0(sdtpldt0(xS,xx),X0)),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aElement0(X1)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtpldt0(sdtpldt0(xS,xx),X0)) = X1
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtpldt0(sdtpldt0(xS,xx),X0)),sdtpldt0(sdtpldt0(xS,xx),X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtpldt0(xS,xx),X0)) ),
inference(resolution,[status(thm)],[f1340,f1317]) ).
fof(f4789,plain,
! [X0] :
( ~ sQ138_spl
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx))
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)) = X0
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(resolution,[status(thm)],[f1340,f518]) ).
fof(f4792,plain,
! [X0,X1] :
( ~ sQ138_spl
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1340,f141]) ).
fof(f4795,definition,
! [X0] :
( sQ418_spl
<=> ( sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f4798,plain,
( ~ sQ132_spl
| ~ sQ138_spl
| sQ418_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4785,f294,f4795,f1339,f1294]) ).
fof(f4799,definition,
! [X0,X1] :
( sQ419_spl
<=> ( sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtmndt0(sdtpldt0(xS,xx),X0)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0))
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtmndt0(sdtpldt0(xS,xx),X0)) = X1
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtmndt0(sdtpldt0(xS,xx),X0)),sdtmndt0(sdtpldt0(xS,xx),X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f4802,plain,
( ~ sQ138_spl
| ~ sQ1_spl
| ~ sQ28_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f4786,f4799,f294,f122,f1339]) ).
fof(f4803,definition,
! [X0,X1,X2] :
( sQ420_spl
<=> ( ~ aElement0(X0)
| ~ aElementOf0(X1,sdtpldt0(sdtpldt0(xS,xx),X0))
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1),X2)
| ~ aElement0(X2)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1)) = X2
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X2,sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1)),sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1),X2)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f4806,plain,
( ~ sQ138_spl
| ~ sQ1_spl
| ~ sQ28_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f4787,f4803,f294,f122,f1339]) ).
fof(f4807,definition,
! [X0,X1] :
( sQ421_spl
<=> ( ~ aElement0(X0)
| ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtpldt0(sdtpldt0(xS,xx),X0)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aElement0(X1)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtpldt0(sdtpldt0(xS,xx),X0)) = X1
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,sdtpldt0(sdtpldt0(xS,xx),X0)),sdtpldt0(sdtpldt0(xS,xx),X0))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(sdtpldt0(xS,xx),X0),X1)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtpldt0(xS,xx),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f4810,plain,
( ~ sQ138_spl
| ~ sQ1_spl
| ~ sQ28_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f4788,f4807,f294,f122,f1339]) ).
fof(f4811,definition,
! [X0] :
( sQ422_spl
<=> ( ~ aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)),sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0)
| sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)) = X0
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,sdtpldt0(xS,xx)),sdtpldt0(xS,xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(sdtpldt0(xS,xx),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f4814,plain,
( ~ sQ138_spl
| ~ sQ28_spl
| sQ422_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4789,f122,f4811,f294,f1339]) ).
fof(f4815,definition,
! [X0,X1] :
( sQ423_spl
<=> ( sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),xS)
| aElementOf0(sK3_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtmndt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f4818,plain,
( ~ sQ138_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f4792,f4815,f180,f169,f1339]) ).
fof(f4825,plain,
! [X0] :
( ~ sQ34_spl
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0))
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(xS,X0)) = X0
| ~ aElementOf0(X0,xS)
| ~ aSet0(xS)
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(xS,X0)) = xx
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0)) ),
inference(resolution,[status(thm)],[f1587,f737]) ).
fof(f4826,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1))
| ~ aElement0(X0)
| ~ aSet0(xS)
| ~ aElementOf0(X1,sdtpldt0(xS,X0))
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) = xx
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) ),
inference(resolution,[status(thm)],[f1587,f2963]) ).
fof(f4828,plain,
( ~ sQ34_spl
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(xS)
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1587,f53]) ).
fof(f4830,plain,
! [X0] :
( ~ sQ34_spl
| aElement0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| ~ aSet0(xS)
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = xx
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1587,f29]) ).
fof(f4831,definition,
! [X0] :
( sQ424_spl
<=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0))
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(xS,X0)) = X0
| ~ aElementOf0(X0,xS)
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(xS,X0)) = xx
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtmndt0(xS,X0))
| ~ aSet0(sdtmndt0(xS,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f4834,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ11_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f4825,f4831,f180,f294,f341]) ).
fof(f4835,definition,
! [X0,X1] :
( sQ425_spl
<=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1))
| ~ aElement0(X0)
| ~ aElementOf0(X1,sdtpldt0(xS,X0))
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) = xx
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1))
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f4838,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ11_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f4826,f4835,f180,f294,f341]) ).
fof(f4843,definition,
( sQ427_spl
<=> aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f4844,plain,
( ~ sQ427_spl
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(component_clause,[status(thm)],[f4843]) ).
fof(f4846,definition,
( sQ428_spl
<=> sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f4847,plain,
( ~ sQ428_spl
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx ),
inference(component_clause,[status(thm)],[f4846]) ).
fof(f4849,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| sQ428_spl
| sQ427_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4828,f180,f4843,f4846,f294,f341]) ).
fof(f4850,definition,
! [X0] :
( sQ429_spl
<=> ( aElement0(sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0))
| sK1_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0) = xx
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f4853,plain,
( ~ sQ34_spl
| ~ sQ11_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f4830,f4850,f180,f341]) ).
fof(f4856,plain,
( sQ150_spl
| ~ aElement0(xx)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[f1444,f114]) ).
fof(f4857,plain,
( sQ150_spl
| ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4856,f146,f169,f1442]) ).
fof(f4864,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ40_spl
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = X0
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| ~ aSet0(xS)
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS),sdtpldt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS),xS)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1606,f1089]) ).
fof(f4865,definition,
! [X0] :
( sQ430_spl
<=> ( sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = X0
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS),sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS),xS)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f4868,plain,
( ~ sQ64_spl
| ~ sQ40_spl
| ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ1_spl
| sQ430_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4864,f180,f4865,f122,f166,f294,f400,f618]) ).
fof(f4884,plain,
( ~ sQ427_spl
| sdtmndt0(sdtpldt0(xS,xx),xx) = xS
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f4844,f357]) ).
fof(f4897,definition,
( sQ433_spl
<=> aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f4900,definition,
( sQ434_spl
<=> sdtmndt0(sdtpldt0(xS,xx),xx) = xS ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f4901,plain,
( ~ sQ434_spl
| sdtmndt0(sdtpldt0(xS,xx),xx) = xS ),
inference(component_clause,[status(thm)],[f4900]) ).
fof(f4903,plain,
( ~ sQ427_spl
| sQ434_spl
| ~ sQ433_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4884,f180,f4897,f4900,f4843]) ).
fof(f4906,plain,
! [X0] :
( ~ sQ49_spl
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| ~ aSet0(xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS),sdtpldt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = xx
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = X0
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS),xS)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f1627,f736]) ).
fof(f4908,plain,
! [X0,X1] :
( ~ sQ49_spl
| aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| ~ aSet0(xS)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1627,f29]) ).
fof(f4909,definition,
! [X0] :
( sQ435_spl
<=> ( sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0)
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = xx
| ~ aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS),sdtpldt0(xS,xx))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = xx
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS) = X0
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X0,xS),xS)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(xS,X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f4912,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ1_spl
| sQ435_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4906,f180,f4909,f122,f166,f294,f462]) ).
fof(f4913,definition,
! [X0,X1] :
( sQ436_spl
<=> ( aElement0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0))
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = xx
| sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0) = X1
| aElementOf0(sK2_skl(sdtmndt0(sdtpldt0(xS,xx),xx),X1,X0),X0)
| sdtmndt0(sdtpldt0(xS,xx),xx) = sdtpldt0(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f4916,plain,
( ~ sQ49_spl
| ~ sQ11_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f4908,f4913,f180,f462]) ).
fof(f4922,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ sQ54_spl
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| ~ aElementOf0(X1,sdtpldt0(xS,X0))
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1668,f3060]) ).
fof(f4924,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ54_spl
| aSubsetOf0(sdtpldt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| ~ aElement0(X0)
| ~ aSet0(xS)
| sK1_skl(sdtpldt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1668,f730]) ).
fof(f4926,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ54_spl
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,xS)
| ~ aSet0(xS)
| sK1_skl(sdtmndt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1668,f1087]) ).
fof(f4927,plain,
( ~ sQ64_spl
| ~ sQ54_spl
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(resolution,[status(thm)],[f1668,f52]) ).
fof(f4928,definition,
! [X0,X1] :
( sQ437_spl
<=> ( aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| ~ aElement0(X0)
| ~ aElementOf0(X1,sdtpldt0(xS,X0))
| sK1_skl(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1))
| aSubsetOf0(sdtpldt0(sdtmndt0(sdtpldt0(xS,X0),X1),X1),sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f4931,plain,
( ~ sQ64_spl
| ~ sQ54_spl
| ~ sQ28_spl
| ~ sQ11_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f4922,f4928,f180,f294,f547,f618]) ).
fof(f4933,definition,
! [X0] :
( sQ438_spl
<=> ( aSubsetOf0(sdtpldt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| sK1_skl(sdtpldt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = X0
| ~ aElement0(X0)
| sK1_skl(sdtpldt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtpldt0(xS,X0))
| aSubsetOf0(sdtpldt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f4936,plain,
( ~ sQ64_spl
| ~ sQ54_spl
| ~ sQ28_spl
| ~ sQ11_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f4924,f4933,f180,f294,f547,f618]) ).
fof(f4938,definition,
! [X0] :
( sQ439_spl
<=> ( ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,xS)
| sK1_skl(sdtmndt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtmndt0(xS,X0))
| aSubsetOf0(sdtmndt0(xS,X0),sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f4941,plain,
( ~ sQ64_spl
| ~ sQ54_spl
| ~ sQ28_spl
| ~ sQ11_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f4926,f4938,f180,f294,f547,f618]) ).
fof(f4942,definition,
( sQ440_spl
<=> sK1_skl(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f4943,plain,
( ~ sQ440_spl
| sK1_skl(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx ),
inference(component_clause,[status(thm)],[f4942]) ).
fof(f4945,plain,
( ~ sQ64_spl
| ~ sQ54_spl
| ~ sQ28_spl
| sQ440_spl
| ~ sQ11_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f4927,f4897,f180,f4942,f294,f547,f618]) ).
fof(f4949,plain,
( ~ sQ434_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4901,f104]) ).
fof(f4950,plain,
~ sQ434_spl,
inference(contradiction_clause,[status(thm)],[f4949]) ).
fof(f4958,plain,
( ~ sQ440_spl
| aElementOf0(xx,xS)
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(paramodulation,[status(thm)],[f4943,f52]) ).
fof(f4973,plain,
( ~ sQ440_spl
| sQ12_spl
| ~ sQ11_spl
| sQ433_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4958,f294,f4897,f180,f183,f4942]) ).
fof(f4975,plain,
! [X0] :
( ~ sQ22_spl
| X0 != slcrc0 ),
inference(forward_subsumption_resolution,[status(thm)],[f263,f37]) ).
fof(f4988,plain,
( ~ sQ22_spl
| $false ),
inference(equality_resolution,[status(thm)],[f4975]) ).
fof(f4997,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f4988]) ).
fof(f5064,plain,
( ~ sQ428_spl
| aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(xS) ),
inference(paramodulation,[status(thm)],[f4847,f52]) ).
fof(f5080,plain,
( ~ sQ428_spl
| sQ165_spl
| ~ sQ28_spl
| sQ427_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f5064,f180,f4843,f294,f1555,f4846]) ).
fof(f5082,plain,
$false,
inference(sat_refutation,[status(thm)],[f128,f139,f149,f154,f164,f172,f192,f201,f205,f209,f217,f247,f284,f286,f288,f297,f304,f323,f327,f331,f344,f348,f388,f394,f403,f407,f416,f420,f424,f440,f457,f461,f465,f473,f550,f560,f564,f591,f594,f621,f632,f671,f682,f692,f702,f706,f718,f722,f744,f745,f758,f773,f777,f841,f952,f956,f960,f1008,f1012,f1016,f1026,f1037,f1041,f1078,f1083,f1085,f1107,f1111,f1115,f1121,f1132,f1136,f1140,f1148,f1166,f1170,f1174,f1192,f1199,f1219,f1243,f1247,f1251,f1255,f1257,f1259,f1270,f1274,f1278,f1304,f1308,f1312,f1316,f1319,f1338,f1342,f1347,f1353,f1357,f1362,f1378,f1382,f1386,f1390,f1394,f1397,f1437,f1441,f1449,f1453,f1457,f1461,f1465,f1470,f1474,f1478,f1482,f1484,f1488,f1493,f1497,f1509,f1511,f1546,f1554,f1558,f1595,f1599,f1611,f1635,f1636,f1639,f1654,f1658,f1676,f1683,f1687,f1706,f1737,f1745,f1749,f1771,f1780,f1824,f1828,f1841,f1847,f1857,f1861,f1865,f1870,f1903,f1907,f1939,f1943,f1950,f1958,f1962,f1966,f1970,f1974,f2013,f2018,f2029,f2050,f2055,f2063,f2067,f2071,f2075,f2079,f2620,f2624,f2631,f2635,f2639,f2648,f2652,f2658,f2683,f2687,f2691,f2700,f2704,f2710,f2746,f2752,f2756,f2760,f2769,f2773,f2779,f2810,f2818,f2822,f2826,f2830,f2834,f2858,f2864,f2870,f2878,f2882,f2886,f2890,f2894,f2936,f2944,f2948,f2952,f2956,f2960,f2986,f2992,f3000,f3008,f3012,f3016,f3020,f3024,f3085,f3093,f3100,f3104,f3108,f3117,f3121,f3127,f3152,f3156,f3160,f3169,f3173,f3179,f3205,f3209,f3213,f3222,f3226,f3232,f3310,f3317,f3323,f3327,f3331,f3339,f3343,f3348,f3372,f3376,f3380,f3388,f3392,f3397,f3400,f3408,f3428,f3434,f3438,f3442,f3450,f3454,f3459,f3488,f3528,f3549,f3557,f3561,f3565,f3581,f3600,f3604,f3608,f3655,f3722,f3732,f3736,f3740,f3744,f3748,f3754,f3764,f3856,f4014,f4018,f4022,f4026,f4087,f4097,f4101,f4105,f4109,f4113,f4139,f4143,f4147,f4175,f4185,f4189,f4193,f4197,f4201,f4231,f4238,f4308,f4494,f4502,f4511,f4516,f4520,f4528,f4532,f4537,f4580,f4588,f4597,f4602,f4606,f4615,f4619,f4625,f4641,f4643,f4655,f4659,f4663,f4667,f4671,f4676,f4709,f4717,f4726,f4731,f4735,f4744,f4748,f4754,f4764,f4778,f4798,f4802,f4806,f4810,f4814,f4818,f4834,f4838,f4849,f4853,f4857,f4868,f4903,f4912,f4916,f4931,f4936,f4941,f4945,f4950,f4973,f4997,f5080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM536+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n006.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 02:38:12 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 20.03/3.09 % Refutation found
% 20.03/3.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.03/3.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.76/3.15 % Elapsed time: 2.692590 seconds
% 2.76/3.15 % CPU time: 20.708382 seconds
% 2.76/3.15 % Total memory used: 210.151 MB
% 2.76/3.15 % Net memory used: 193.246 MB
%------------------------------------------------------------------------------