%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT385+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:03:57 PM UTC 2026
% Result : CounterSatisfiable 0.17s 5.50s
% Output : Saturation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,definition,
! [W0] :
( aSet0(W0)
=> ( isEmpty0(W0)
<=> ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [W0] :
( aElement0(W0)
=> sdtlseqdt0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0,W1,W2] :
( ( aElement0(W2)
& aElement0(W1)
& aElement0(W0) )
=> ( ( sdtlseqdt0(W1,W2)
& sdtlseqdt0(W0,W1) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aLowerBoundOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( aElementOf0(W3,W1)
=> sdtlseqdt0(W2,W3) )
& aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aUpperBoundOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( aElementOf0(W3,W1)
=> sdtlseqdt0(W3,W2) )
& aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aInfimumOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( aLowerBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W3,W2) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aSupremumOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( aUpperBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W2,W3) )
& aUpperBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2,W3] :
( ( aSupremumOfIn0(W3,W1,W0)
& aSupremumOfIn0(W2,W1,W0) )
=> W2 = W3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2,W3] :
( ( aInfimumOfIn0(W3,W1,W0)
& aInfimumOfIn0(W2,W1,W0) )
=> W2 = W3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,definition,
! [W0] :
( aCompleteLattice0(W0)
<=> ( ! [W1] :
( aSubsetOf0(W1,W0)
=> ? [W2] :
( ? [W3] : aSupremumOfIn0(W3,W1,W0)
& aInfimumOfIn0(W2,W1,W0) ) )
& aSet0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szRzazndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,definition,
! [W0,W1] :
( ( aSet0(W1)
& aFunction0(W0) )
=> ( isOn0(W0,W1)
<=> ( szRzazndt0(W0) = W1
& szDzozmdt0(W0) = szRzazndt0(W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aElementOf0(W1,szDzozmdt0(W0))
=> aElementOf0(sdtlpdtrp0(W0,W1),szRzazndt0(W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,definition,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aFixedPointOf0(W1,W0)
<=> ( sdtlpdtrp0(W0,W1) = W1
& aElementOf0(W1,szDzozmdt0(W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,definition,
! [W0] :
( aFunction0(W0)
=> ( isMonotone0(W0)
<=> ! [W1,W2] :
( ( aElementOf0(W2,szDzozmdt0(W0))
& aElementOf0(W1,szDzozmdt0(W0)) )
=> ( sdtlseqdt0(W1,W2)
=> sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( isOn0(xf,xU)
& isMonotone0(xf)
& aFunction0(xf)
& aCompleteLattice0(xU) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
xS = cS1142(xf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
aSubsetOf0(xT,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
xP = cS1241(xU,xf,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,conjecture,
? [W0] : aInfimumOfIn0(W0,xP,xU),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ ? [W0] : aInfimumOfIn0(W0,xP,xU),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f36,plain,
! [W0] :
( ! [W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f37,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [W0] :
( ( isEmpty0(W0)
<=> ! [W1] : ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
! [W0] :
( ( ( ? [W1] : aElementOf0(W1,W0)
| isEmpty0(W0) )
& ( ! [W1] : ~ aElementOf0(W1,W0)
| ~ isEmpty0(W0) ) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [W0] :
( ( ( aElementOf0(sK0_skl(W0),W0)
| isEmpty0(W0) )
& ( ! [W1] : ~ aElementOf0(W1,W0)
| ~ isEmpty0(W0) ) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ isEmpty0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0] :
( aElementOf0(sK0_skl(X0),X0)
| isEmpty0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f43,plain,
! [W0] :
( ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) ) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f44,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)],[f43]) ).
fof(f45,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)],[f44]) ).
fof(f46,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))],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f49,plain,
! [X0,X1] :
( aElementOf0(sK1_skl(X1,X0),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aElementOf0(sK1_skl(X1,X0),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f53,plain,
! [W0] :
( sdtlseqdt0(W0,W0)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f54,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f56,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [W0,W1,W2] :
( sdtlseqdt0(W0,W2)
| ~ sdtlseqdt0(W1,W2)
| ~ sdtlseqdt0(W0,W1)
| ~ aElement0(W2)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f58,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( aLowerBoundOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( sdtlseqdt0(W2,W3)
| ~ aElementOf0(W3,W1) )
& aElementOf0(W2,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f60,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( ( ? [W3] :
( ~ sdtlseqdt0(W2,W3)
& aElementOf0(W3,W1) )
| ~ aElementOf0(W2,W0)
| aLowerBoundOfIn0(W2,W1,W0) )
& ( ( ! [W3] :
( sdtlseqdt0(W2,W3)
| ~ aElementOf0(W3,W1) )
& aElementOf0(W2,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ? [W3] :
( ~ sdtlseqdt0(W2,W3)
& aElementOf0(W3,W1) )
| ~ aElementOf0(W2,W0)
| aLowerBoundOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W2,W3)
| ~ aElementOf0(W3,W1) )
& aElementOf0(W2,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f62,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ( ~ sdtlseqdt0(W2,sK2_skl(W2,W1,W0))
& aElementOf0(sK2_skl(W2,W1,W0),W1) )
| ~ aElementOf0(W2,W0)
| aLowerBoundOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W2,W3)
| ~ aElementOf0(W3,W1) )
& aElementOf0(W2,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W3,sK2_skl(W2,W1,W0))],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aLowerBoundOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(X2,X3)
| ~ aElementOf0(X3,X1)
| ~ aLowerBoundOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f65,plain,
! [X0,X1,X2] :
( aElementOf0(sK2_skl(X2,X1,X0),X1)
| ~ aElementOf0(X2,X0)
| aLowerBoundOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(X2,sK2_skl(X2,X1,X0))
| ~ aElementOf0(X2,X0)
| aLowerBoundOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f67,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( aUpperBoundOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aElementOf0(W3,W1) )
& aElementOf0(W2,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f68,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( ( ? [W3] :
( ~ sdtlseqdt0(W3,W2)
& aElementOf0(W3,W1) )
| ~ aElementOf0(W2,W0)
| aUpperBoundOfIn0(W2,W1,W0) )
& ( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aElementOf0(W3,W1) )
& aElementOf0(W2,W0) )
| ~ aUpperBoundOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ? [W3] :
( ~ sdtlseqdt0(W3,W2)
& aElementOf0(W3,W1) )
| ~ aElementOf0(W2,W0)
| aUpperBoundOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aElementOf0(W3,W1) )
& aElementOf0(W2,W0) )
| ~ aUpperBoundOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f70,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ( ~ sdtlseqdt0(sK3_skl(W2,W1,W0),W2)
& aElementOf0(sK3_skl(W2,W1,W0),W1) )
| ~ aElementOf0(W2,W0)
| aUpperBoundOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aElementOf0(W3,W1) )
& aElementOf0(W2,W0) )
| ~ aUpperBoundOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(W3,sK3_skl(W2,W1,W0))],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aUpperBoundOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(X3,X2)
| ~ aElementOf0(X3,X1)
| ~ aUpperBoundOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f73,plain,
! [X0,X1,X2] :
( aElementOf0(sK3_skl(X2,X1,X0),X1)
| ~ aElementOf0(X2,X0)
| aUpperBoundOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(sK3_skl(X2,X1,X0),X2)
| ~ aElementOf0(X2,X0)
| aUpperBoundOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f75,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( aInfimumOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aLowerBoundOfIn0(W3,W1,W0) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f76,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( ( ? [W3] :
( ~ sdtlseqdt0(W3,W2)
& aLowerBoundOfIn0(W3,W1,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aInfimumOfIn0(W2,W1,W0) )
& ( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aLowerBoundOfIn0(W3,W1,W0) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aInfimumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ? [W3] :
( ~ sdtlseqdt0(W3,W2)
& aLowerBoundOfIn0(W3,W1,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aInfimumOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aLowerBoundOfIn0(W3,W1,W0) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aInfimumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f78,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ( ~ sdtlseqdt0(sK4_skl(W2,W1,W0),W2)
& aLowerBoundOfIn0(sK4_skl(W2,W1,W0),W1,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aInfimumOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aLowerBoundOfIn0(W3,W1,W0) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aInfimumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(W3,sK4_skl(W2,W1,W0))],[f77]) ).
fof(f79,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( aLowerBoundOfIn0(X2,X1,X0)
| ~ aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(X3,X2)
| ~ aLowerBoundOfIn0(X3,X1,X0)
| ~ aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f82,plain,
! [X0,X1,X2] :
( aLowerBoundOfIn0(sK4_skl(X2,X1,X0),X1,X0)
| ~ aLowerBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X2,X0)
| aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(sK4_skl(X2,X1,X0),X2)
| ~ aLowerBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X2,X0)
| aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f84,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( aSupremumOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( sdtlseqdt0(W2,W3)
| ~ aUpperBoundOfIn0(W3,W1,W0) )
& aUpperBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f85,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( ( ? [W3] :
( ~ sdtlseqdt0(W2,W3)
& aUpperBoundOfIn0(W3,W1,W0) )
| ~ aUpperBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aSupremumOfIn0(W2,W1,W0) )
& ( ( ! [W3] :
( sdtlseqdt0(W2,W3)
| ~ aUpperBoundOfIn0(W3,W1,W0) )
& aUpperBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aSupremumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ? [W3] :
( ~ sdtlseqdt0(W2,W3)
& aUpperBoundOfIn0(W3,W1,W0) )
| ~ aUpperBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aSupremumOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W2,W3)
| ~ aUpperBoundOfIn0(W3,W1,W0) )
& aUpperBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aSupremumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f87,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ( ~ sdtlseqdt0(W2,sK5_skl(W2,W1,W0))
& aUpperBoundOfIn0(sK5_skl(W2,W1,W0),W1,W0) )
| ~ aUpperBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aSupremumOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W2,W3)
| ~ aUpperBoundOfIn0(W3,W1,W0) )
& aUpperBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aSupremumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W3,sK5_skl(W2,W1,W0))],[f86]) ).
fof(f88,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aSupremumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [X0,X1,X2] :
( aUpperBoundOfIn0(X2,X1,X0)
| ~ aSupremumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(X2,X3)
| ~ aUpperBoundOfIn0(X3,X1,X0)
| ~ aSupremumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f91,plain,
! [X0,X1,X2] :
( aUpperBoundOfIn0(sK5_skl(X2,X1,X0),X1,X0)
| ~ aUpperBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X2,X0)
| aSupremumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(X2,sK5_skl(X2,X1,X0))
| ~ aUpperBoundOfIn0(X2,X1,X0)
| ~ aElementOf0(X2,X0)
| aSupremumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f93,plain,
! [W0] :
( ! [W1] :
( ! [W2,W3] :
( W2 = W3
| ~ aSupremumOfIn0(W3,W1,W0)
| ~ aSupremumOfIn0(W2,W1,W0) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ aSupremumOfIn0(X3,X1,X0)
| ~ aSupremumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [W0] :
( ! [W1] :
( ! [W2,W3] :
( W2 = W3
| ~ aInfimumOfIn0(W3,W1,W0)
| ~ aInfimumOfIn0(W2,W1,W0) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ aInfimumOfIn0(X3,X1,X0)
| ~ aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [W0] :
( aCompleteLattice0(W0)
<=> ( ! [W1] :
( ? [W2] :
( ? [W3] : aSupremumOfIn0(W3,W1,W0)
& aInfimumOfIn0(W2,W1,W0) )
| ~ aSubsetOf0(W1,W0) )
& aSet0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f98,plain,
! [W0] :
( ( ? [W1] :
( ! [W2] :
( ! [W3] : ~ aSupremumOfIn0(W3,W1,W0)
| ~ aInfimumOfIn0(W2,W1,W0) )
& aSubsetOf0(W1,W0) )
| ~ aSet0(W0)
| aCompleteLattice0(W0) )
& ( ( ! [W1] :
( ? [W2] :
( ? [W3] : aSupremumOfIn0(W3,W1,W0)
& aInfimumOfIn0(W2,W1,W0) )
| ~ aSubsetOf0(W1,W0) )
& aSet0(W0) )
| ~ aCompleteLattice0(W0) ) ),
inference(NNF_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
( ! [W0] :
( ? [W1] :
( ( ! [W3] : ~ aSupremumOfIn0(W3,W1,W0)
| ! [W2] : ~ aInfimumOfIn0(W2,W1,W0) )
& aSubsetOf0(W1,W0) )
| ~ aSet0(W0)
| aCompleteLattice0(W0) )
& ! [W0] :
( ( ! [W1] :
( ( ? [W3] : aSupremumOfIn0(W3,W1,W0)
& ? [W2] : aInfimumOfIn0(W2,W1,W0) )
| ~ aSubsetOf0(W1,W0) )
& aSet0(W0) )
| ~ aCompleteLattice0(W0) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f100,plain,
( ! [W0] :
( ( ( ! [W3] : ~ aSupremumOfIn0(W3,sK8_skl(W0),W0)
| ! [W2] : ~ aInfimumOfIn0(W2,sK8_skl(W0),W0) )
& aSubsetOf0(sK8_skl(W0),W0) )
| ~ aSet0(W0)
| aCompleteLattice0(W0) )
& ! [W0] :
( ( ! [W1] :
( ( aSupremumOfIn0(sK7_skl(W1,W0),W1,W0)
& aInfimumOfIn0(sK6_skl(W1,W0),W1,W0) )
| ~ aSubsetOf0(W1,W0) )
& aSet0(W0) )
| ~ aCompleteLattice0(W0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl,sK8_skl]),skolemize(W2,sK6_skl(W1,W0)),skolemize(W3,sK7_skl(W1,W0)),skolemize(W1,sK8_skl(W0))],[f99]) ).
fof(f101,plain,
! [X0] :
( aSet0(X0)
| ~ aCompleteLattice0(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( aInfimumOfIn0(sK6_skl(X1,X0),X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aCompleteLattice0(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f103,plain,
! [X0,X1] :
( aSupremumOfIn0(sK7_skl(X1,X0),X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aCompleteLattice0(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f104,plain,
! [X0] :
( aSubsetOf0(sK8_skl(X0),X0)
| ~ aSet0(X0)
| aCompleteLattice0(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ aSupremumOfIn0(X2,sK8_skl(X0),X0)
| ~ aInfimumOfIn0(X1,sK8_skl(X0),X0)
| ~ aSet0(X0)
| aCompleteLattice0(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f109,plain,
! [W0] :
( aSet0(szDzozmdt0(W0))
| ~ aFunction0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f110,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [W0] :
( aSet0(szRzazndt0(W0))
| ~ aFunction0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f112,plain,
! [X0] :
( aSet0(szRzazndt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
! [W0,W1] :
( ( isOn0(W0,W1)
<=> ( szRzazndt0(W0) = W1
& szDzozmdt0(W0) = szRzazndt0(W0) ) )
| ~ aSet0(W1)
| ~ aFunction0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f114,plain,
! [W0,W1] :
( ( ( szRzazndt0(W0) != W1
| szDzozmdt0(W0) != szRzazndt0(W0)
| isOn0(W0,W1) )
& ( ( szRzazndt0(W0) = W1
& szDzozmdt0(W0) = szRzazndt0(W0) )
| ~ isOn0(W0,W1) ) )
| ~ aSet0(W1)
| ~ aFunction0(W0) ),
inference(NNF_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( szDzozmdt0(X0) = szRzazndt0(X0)
| ~ isOn0(X0,X1)
| ~ aSet0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( szRzazndt0(X0) = X1
| ~ isOn0(X0,X1)
| ~ aSet0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f117,plain,
! [X0,X1] :
( szRzazndt0(X0) != X1
| szDzozmdt0(X0) != szRzazndt0(X0)
| isOn0(X0,X1)
| ~ aSet0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f118,plain,
! [W0] :
( ! [W1] :
( aElementOf0(sdtlpdtrp0(W0,W1),szRzazndt0(W0))
| ~ aElementOf0(W1,szDzozmdt0(W0)) )
| ~ aFunction0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f119,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),szRzazndt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f120,plain,
! [W0] :
( ! [W1] :
( aFixedPointOf0(W1,W0)
<=> ( sdtlpdtrp0(W0,W1) = W1
& aElementOf0(W1,szDzozmdt0(W0)) ) )
| ~ aFunction0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f121,plain,
! [W0] :
( ! [W1] :
( ( sdtlpdtrp0(W0,W1) != W1
| ~ aElementOf0(W1,szDzozmdt0(W0))
| aFixedPointOf0(W1,W0) )
& ( ( sdtlpdtrp0(W0,W1) = W1
& aElementOf0(W1,szDzozmdt0(W0)) )
| ~ aFixedPointOf0(W1,W0) ) )
| ~ aFunction0(W0) ),
inference(NNF_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
! [W0] :
( ( ! [W1] :
( sdtlpdtrp0(W0,W1) != W1
| ~ aElementOf0(W1,szDzozmdt0(W0))
| aFixedPointOf0(W1,W0) )
& ! [W1] :
( ( sdtlpdtrp0(W0,W1) = W1
& aElementOf0(W1,szDzozmdt0(W0)) )
| ~ aFixedPointOf0(W1,W0) ) )
| ~ aFunction0(W0) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( aElementOf0(X1,szDzozmdt0(X0))
| ~ aFixedPointOf0(X1,X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( sdtlpdtrp0(X0,X1) = X1
| ~ aFixedPointOf0(X1,X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f125,plain,
! [X0,X1] :
( sdtlpdtrp0(X0,X1) != X1
| ~ aElementOf0(X1,szDzozmdt0(X0))
| aFixedPointOf0(X1,X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f126,plain,
! [W0] :
( ( isMonotone0(W0)
<=> ! [W1,W2] :
( sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2))
| ~ sdtlseqdt0(W1,W2)
| ~ aElementOf0(W2,szDzozmdt0(W0))
| ~ aElementOf0(W1,szDzozmdt0(W0)) ) )
| ~ aFunction0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f127,plain,
! [W0] :
( ( ( ? [W1,W2] :
( ~ sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2))
& sdtlseqdt0(W1,W2)
& aElementOf0(W2,szDzozmdt0(W0))
& aElementOf0(W1,szDzozmdt0(W0)) )
| isMonotone0(W0) )
& ( ! [W1,W2] :
( sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2))
| ~ sdtlseqdt0(W1,W2)
| ~ aElementOf0(W2,szDzozmdt0(W0))
| ~ aElementOf0(W1,szDzozmdt0(W0)) )
| ~ isMonotone0(W0) ) )
| ~ aFunction0(W0) ),
inference(NNF_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [W0] :
( ( ( ( ~ sdtlseqdt0(sdtlpdtrp0(W0,sK9_skl(W0)),sdtlpdtrp0(W0,sK10_skl(W0)))
& sdtlseqdt0(sK9_skl(W0),sK10_skl(W0))
& aElementOf0(sK10_skl(W0),szDzozmdt0(W0))
& aElementOf0(sK9_skl(W0),szDzozmdt0(W0)) )
| isMonotone0(W0) )
& ( ! [W1,W2] :
( sdtlseqdt0(sdtlpdtrp0(W0,W1),sdtlpdtrp0(W0,W2))
| ~ sdtlseqdt0(W1,W2)
| ~ aElementOf0(W2,szDzozmdt0(W0))
| ~ aElementOf0(W1,szDzozmdt0(W0)) )
| ~ isMonotone0(W0) ) )
| ~ aFunction0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(W1,sK9_skl(W0)),skolemize(W2,sK10_skl(W0))],[f127]) ).
fof(f129,plain,
! [X0,X1,X2] :
( sdtlseqdt0(sdtlpdtrp0(X0,X1),sdtlpdtrp0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ isMonotone0(X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
! [X0] :
( aElementOf0(sK9_skl(X0),szDzozmdt0(X0))
| isMonotone0(X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f131,plain,
! [X0] :
( aElementOf0(sK10_skl(X0),szDzozmdt0(X0))
| isMonotone0(X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f132,plain,
! [X0] :
( sdtlseqdt0(sK9_skl(X0),sK10_skl(X0))
| isMonotone0(X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f133,plain,
! [X0] :
( ~ sdtlseqdt0(sdtlpdtrp0(X0,sK9_skl(X0)),sdtlpdtrp0(X0,sK10_skl(X0)))
| isMonotone0(X0)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f134,plain,
aCompleteLattice0(xU),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f135,plain,
aFunction0(xf),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f136,plain,
isMonotone0(xf),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f137,plain,
isOn0(xf,xU),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f138,plain,
xS = cS1142(xf),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f139,plain,
aSubsetOf0(xT,xS),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f140,plain,
xP = cS1241(xU,xf,xT),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f141,plain,
! [W0] : ~ aInfimumOfIn0(W0,xP,xU),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f142,plain,
! [X0] : ~ aInfimumOfIn0(X0,xP,xU),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
aSet0(xU),
inference(resolution,[status(thm)],[f101,f134]) ).
fof(f144,plain,
( aElementOf0(sK0_skl(xU),xU)
| isEmpty0(xU) ),
inference(resolution,[status(thm)],[f143,f42]) ).
fof(f145,definition,
( sQ0_spl
<=> isEmpty0(xU) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ0_spl
| isEmpty0(xU) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ0_spl
| ~ isEmpty0(xU) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,definition,
( sQ1_spl
<=> aElementOf0(sK0_skl(xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ1_spl
| aElementOf0(sK0_skl(xU),xU) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ1_spl
| ~ aElementOf0(sK0_skl(xU),xU) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f144,f145,f148]) ).
fof(f152,plain,
( aSet0(xT)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f139,f47]) ).
fof(f153,definition,
( sQ2_spl
<=> aSet0(xS) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( sQ2_spl
| ~ aSet0(xS) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ3_spl
<=> aSet0(xT) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f152,f153,f156]) ).
fof(f160,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f48,f139]) ).
fof(f161,definition,
! [X0] :
( sQ4_spl
<=> ( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xT) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f160,f153,f161]) ).
fof(f165,plain,
! [X0] :
( aElementOf0(sK1_skl(X0,xU),X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,xU) ),
inference(resolution,[status(thm)],[f49,f143]) ).
fof(f166,plain,
aSet0(szDzozmdt0(xf)),
inference(resolution,[status(thm)],[f110,f135]) ).
fof(f167,plain,
( aElementOf0(sK1_skl(xU,xU),xU)
| aSubsetOf0(xU,xU) ),
inference(resolution,[status(thm)],[f165,f143]) ).
fof(f168,definition,
( sQ5_spl
<=> aSubsetOf0(xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ5_spl
| aSubsetOf0(xU,xU) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ6_spl
<=> aElementOf0(sK1_skl(xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ6_spl
| aElementOf0(sK1_skl(xU,xU),xU) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( sQ6_spl
| ~ aElementOf0(sK1_skl(xU,xU),xU) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f167,f168,f171]) ).
fof(f175,plain,
! [X0] :
( ~ sQ5_spl
| aElementOf0(X0,xU)
| ~ aElementOf0(X0,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f169,f48]) ).
fof(f177,definition,
( sQ7_spl
<=> aSet0(xU) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( sQ7_spl
| ~ aSet0(xU) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
! [X0] :
( sQ8_spl
<=> ( aElementOf0(X0,xU)
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ5_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f175,f177,f180,f168]) ).
fof(f185,plain,
( ~ sQ6_spl
| ~ aSet0(xU)
| aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f172,f50]) ).
fof(f186,plain,
( ~ sQ6_spl
| ~ isEmpty0(xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f172,f41]) ).
fof(f187,plain,
( ~ sQ6_spl
| aElement0(sK1_skl(xU,xU))
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f172,f37]) ).
fof(f188,plain,
( ~ sQ6_spl
| sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f185,f177,f168,f171]) ).
fof(f189,plain,
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f186,f177,f145,f171]) ).
fof(f190,definition,
( sQ9_spl
<=> aElement0(sK1_skl(xU,xU)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ9_spl
| aElement0(sK1_skl(xU,xU)) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f192,plain,
( sQ9_spl
| ~ aElement0(sK1_skl(xU,xU)) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( ~ sQ6_spl
| sQ9_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f187,f177,f190,f171]) ).
fof(f194,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f143]) ).
fof(f195,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f194]) ).
fof(f200,plain,
( ~ sQ1_spl
| ~ isEmpty0(xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f149,f41]) ).
fof(f201,plain,
( ~ sQ1_spl
| aElement0(sK0_skl(xU))
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f149,f37]) ).
fof(f202,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f200,f177,f145,f148]) ).
fof(f203,definition,
( sQ10_spl
<=> aElement0(sK0_skl(xU)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ10_spl
| aElement0(sK0_skl(xU)) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ10_spl
| ~ aElement0(sK0_skl(xU)) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( ~ sQ1_spl
| sQ10_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f201,f177,f203,f148]) ).
fof(f207,plain,
( aElementOf0(sK1_skl(szDzozmdt0(xf),xU),szDzozmdt0(xf))
| aSubsetOf0(szDzozmdt0(xf),xU) ),
inference(resolution,[status(thm)],[f166,f165]) ).
fof(f208,plain,
! [X0] :
( aElementOf0(sK1_skl(X0,szDzozmdt0(xf)),X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,szDzozmdt0(xf)) ),
inference(resolution,[status(thm)],[f166,f49]) ).
fof(f209,plain,
( aElementOf0(sK0_skl(szDzozmdt0(xf)),szDzozmdt0(xf))
| isEmpty0(szDzozmdt0(xf)) ),
inference(resolution,[status(thm)],[f166,f42]) ).
fof(f210,definition,
( sQ11_spl
<=> aSubsetOf0(szDzozmdt0(xf),xU) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ11_spl
| aSubsetOf0(szDzozmdt0(xf),xU) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ11_spl
| ~ aSubsetOf0(szDzozmdt0(xf),xU) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ12_spl
<=> aElementOf0(sK1_skl(szDzozmdt0(xf),xU),szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ12_spl
| aElementOf0(sK1_skl(szDzozmdt0(xf),xU),szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ12_spl
| ~ aElementOf0(sK1_skl(szDzozmdt0(xf),xU),szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f207,f210,f213]) ).
fof(f217,definition,
( sQ13_spl
<=> isEmpty0(szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ13_spl
| isEmpty0(szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ13_spl
| ~ isEmpty0(szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ14_spl
<=> aElementOf0(sK0_skl(szDzozmdt0(xf)),szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ14_spl
| aElementOf0(sK0_skl(szDzozmdt0(xf)),szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f209,f217,f220]) ).
fof(f224,plain,
( ~ sQ10_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(resolution,[status(thm)],[f204,f54]) ).
fof(f225,plain,
! [X0] :
( ~ sQ5_spl
| aElementOf0(sK2_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f65,f169]) ).
fof(f226,plain,
! [X0] :
( aElementOf0(sK2_skl(X0,xT,xS),xT)
| ~ aElementOf0(X0,xS)
| aLowerBoundOfIn0(X0,xT,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f65,f139]) ).
fof(f227,definition,
! [X0] :
( sQ15_spl
<=> ( aElementOf0(sK2_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f228,plain,
! [X0] :
( ~ sQ15_spl
| aElementOf0(sK2_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( ~ sQ5_spl
| sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f225,f177,f227,f168]) ).
fof(f231,definition,
! [X0] :
( sQ16_spl
<=> ( aElementOf0(sK2_skl(X0,xT,xS),xT)
| ~ aElementOf0(X0,xS)
| aLowerBoundOfIn0(X0,xT,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ16_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f226,f153,f231]) ).
fof(f235,plain,
! [X0] :
( ~ sQ11_spl
| aElementOf0(sK2_skl(X0,szDzozmdt0(xf),xU),szDzozmdt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,szDzozmdt0(xf),xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f211,f65]) ).
fof(f236,plain,
! [X0] :
( ~ sQ11_spl
| aElementOf0(X0,xU)
| ~ aElementOf0(X0,szDzozmdt0(xf))
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f211,f48]) ).
fof(f238,definition,
! [X0] :
( sQ17_spl
<=> ( aElementOf0(sK2_skl(X0,szDzozmdt0(xf),xU),szDzozmdt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,szDzozmdt0(xf),xU) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f239,plain,
! [X0] :
( ~ sQ17_spl
| aElementOf0(sK2_skl(X0,szDzozmdt0(xf),xU),szDzozmdt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,szDzozmdt0(xf),xU) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( ~ sQ11_spl
| sQ17_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f235,f177,f238,f210]) ).
fof(f242,definition,
! [X0] :
( sQ18_spl
<=> ( aElementOf0(X0,xU)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f243,plain,
! [X0] :
( ~ sQ18_spl
| aElementOf0(X0,xU)
| ~ aElementOf0(X0,szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( ~ sQ11_spl
| sQ18_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f236,f177,f242,f210]) ).
fof(f246,definition,
( sQ19_spl
<=> aSet0(szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( sQ19_spl
| ~ aSet0(szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f250,plain,
! [X0] :
( ~ sQ10_spl
| sdtlseqdt0(sK0_skl(xU),X0)
| ~ sdtlseqdt0(sK0_skl(xU),X0)
| ~ aElement0(X0)
| ~ aElement0(sK0_skl(xU))
| ~ aElement0(sK0_skl(xU)) ),
inference(resolution,[status(thm)],[f224,f58]) ).
fof(f251,plain,
( ~ sQ10_spl
| sK0_skl(xU) = sK0_skl(xU)
| ~ sdtlseqdt0(sK0_skl(xU),sK0_skl(xU))
| ~ aElement0(sK0_skl(xU))
| ~ aElement0(sK0_skl(xU)) ),
inference(resolution,[status(thm)],[f224,f56]) ).
fof(f252,definition,
! [X0] :
( sQ20_spl
<=> ( sdtlseqdt0(sK0_skl(xU),X0)
| ~ sdtlseqdt0(sK0_skl(xU),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( sQ20_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f250,f203,f252]) ).
fof(f256,definition,
( sQ21_spl
<=> sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ21_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ21_spl
| ~ sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ22_spl
<=> sK0_skl(xU) = sK0_skl(xU) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f251,f203,f256,f259]) ).
fof(f263,plain,
( sQ21_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f224]) ).
fof(f264,plain,
( sQ21_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( ~ sQ12_spl
| ~ isEmpty0(szDzozmdt0(xf))
| ~ aSet0(szDzozmdt0(xf)) ),
inference(resolution,[status(thm)],[f214,f41]) ).
fof(f266,plain,
( ~ sQ12_spl
| aElement0(sK1_skl(szDzozmdt0(xf),xU))
| ~ aSet0(szDzozmdt0(xf)) ),
inference(resolution,[status(thm)],[f214,f37]) ).
fof(f267,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f265,f246,f217,f213]) ).
fof(f268,definition,
( sQ23_spl
<=> aElement0(sK1_skl(szDzozmdt0(xf),xU)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ23_spl
| aElement0(sK1_skl(szDzozmdt0(xf),xU)) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ23_spl
| ~ aElement0(sK1_skl(szDzozmdt0(xf),xU)) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( ~ sQ12_spl
| sQ23_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f266,f246,f268,f213]) ).
fof(f272,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f248,f166]) ).
fof(f273,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| aElementOf0(sK2_skl(sK0_skl(xU),xU,xU),xU)
| aLowerBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(resolution,[status(thm)],[f228,f149]) ).
fof(f275,definition,
( sQ24_spl
<=> aLowerBoundOfIn0(sK0_skl(xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ24_spl
| aLowerBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ25_spl
<=> aElementOf0(sK2_skl(sK0_skl(xU),xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f274,f275,f278,f227,f148]) ).
fof(f282,plain,
( ~ sQ23_spl
| sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),sK1_skl(szDzozmdt0(xf),xU)) ),
inference(resolution,[status(thm)],[f269,f54]) ).
fof(f283,plain,
! [X0] :
( ~ sQ23_spl
| sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),X0)
| ~ sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),X0)
| ~ aElement0(X0)
| ~ aElement0(sK1_skl(szDzozmdt0(xf),xU))
| ~ aElement0(sK1_skl(szDzozmdt0(xf),xU)) ),
inference(resolution,[status(thm)],[f282,f58]) ).
fof(f284,plain,
( ~ sQ23_spl
| sK1_skl(szDzozmdt0(xf),xU) = sK1_skl(szDzozmdt0(xf),xU)
| ~ sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),sK1_skl(szDzozmdt0(xf),xU))
| ~ aElement0(sK1_skl(szDzozmdt0(xf),xU))
| ~ aElement0(sK1_skl(szDzozmdt0(xf),xU)) ),
inference(resolution,[status(thm)],[f282,f56]) ).
fof(f285,definition,
! [X0] :
( sQ26_spl
<=> ( sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),X0)
| ~ sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( sQ26_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f283,f268,f285]) ).
fof(f289,definition,
( sQ27_spl
<=> sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),sK1_skl(szDzozmdt0(xf),xU)) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ27_spl
| sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),sK1_skl(szDzozmdt0(xf),xU)) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ27_spl
| ~ sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),sK1_skl(szDzozmdt0(xf),xU)) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ28_spl
<=> sK1_skl(szDzozmdt0(xf),xU) = sK1_skl(szDzozmdt0(xf),xU) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( sQ28_spl
| ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f284,f268,f289,f292]) ).
fof(f296,plain,
( sQ27_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f291,f282]) ).
fof(f297,plain,
( sQ27_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f296]) ).
fof(f298,plain,
aSet0(szRzazndt0(xf)),
inference(resolution,[status(thm)],[f112,f135]) ).
fof(f299,plain,
! [X0] :
( ~ sQ5_spl
| aElementOf0(sK3_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f73,f169]) ).
fof(f300,plain,
! [X0] :
( aElementOf0(sK3_skl(X0,xT,xS),xT)
| ~ aElementOf0(X0,xS)
| aUpperBoundOfIn0(X0,xT,xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[f73,f139]) ).
fof(f301,definition,
! [X0] :
( sQ29_spl
<=> ( aElementOf0(sK3_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f302,plain,
! [X0] :
( ~ sQ29_spl
| aElementOf0(sK3_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( ~ sQ5_spl
| sQ29_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f299,f177,f301,f168]) ).
fof(f305,definition,
! [X0] :
( sQ30_spl
<=> ( aElementOf0(sK3_skl(X0,xT,xS),xT)
| ~ aElementOf0(X0,xS)
| aUpperBoundOfIn0(X0,xT,xS) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( sQ30_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f300,f153,f305]) ).
fof(f309,plain,
( aElementOf0(sK1_skl(szRzazndt0(xf),xU),szRzazndt0(xf))
| aSubsetOf0(szRzazndt0(xf),xU) ),
inference(resolution,[status(thm)],[f298,f165]) ).
fof(f310,plain,
! [X0] :
( aElementOf0(sK1_skl(X0,szRzazndt0(xf)),X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,szRzazndt0(xf)) ),
inference(resolution,[status(thm)],[f298,f49]) ).
fof(f311,plain,
( aElementOf0(sK0_skl(szRzazndt0(xf)),szRzazndt0(xf))
| isEmpty0(szRzazndt0(xf)) ),
inference(resolution,[status(thm)],[f298,f42]) ).
fof(f312,definition,
( sQ31_spl
<=> aSubsetOf0(szRzazndt0(xf),xU) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ31_spl
| aSubsetOf0(szRzazndt0(xf),xU) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ31_spl
| ~ aSubsetOf0(szRzazndt0(xf),xU) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ32_spl
<=> aElementOf0(sK1_skl(szRzazndt0(xf),xU),szRzazndt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ32_spl
| aElementOf0(sK1_skl(szRzazndt0(xf),xU),szRzazndt0(xf)) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ32_spl
| ~ aElementOf0(sK1_skl(szRzazndt0(xf),xU),szRzazndt0(xf)) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ32_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f309,f312,f315]) ).
fof(f319,definition,
( sQ33_spl
<=> isEmpty0(szRzazndt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ33_spl
| isEmpty0(szRzazndt0(xf)) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ33_spl
| ~ isEmpty0(szRzazndt0(xf)) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ34_spl
<=> aElementOf0(sK0_skl(szRzazndt0(xf)),szRzazndt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ34_spl
| aElementOf0(sK0_skl(szRzazndt0(xf)),szRzazndt0(xf)) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f311,f319,f322]) ).
fof(f326,plain,
! [X0] :
( ~ sQ31_spl
| aElementOf0(sK3_skl(X0,szRzazndt0(xf),xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,szRzazndt0(xf),xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f313,f73]) ).
fof(f327,plain,
! [X0] :
( ~ sQ31_spl
| aElementOf0(sK2_skl(X0,szRzazndt0(xf),xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,szRzazndt0(xf),xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f313,f65]) ).
fof(f328,plain,
! [X0] :
( ~ sQ31_spl
| aElementOf0(X0,xU)
| ~ aElementOf0(X0,szRzazndt0(xf))
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f313,f48]) ).
fof(f330,definition,
! [X0] :
( sQ35_spl
<=> ( aElementOf0(sK3_skl(X0,szRzazndt0(xf),xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,szRzazndt0(xf),xU) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f331,plain,
! [X0] :
( ~ sQ35_spl
| aElementOf0(sK3_skl(X0,szRzazndt0(xf),xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,szRzazndt0(xf),xU) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( ~ sQ31_spl
| sQ35_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f326,f177,f330,f312]) ).
fof(f334,definition,
! [X0] :
( sQ36_spl
<=> ( aElementOf0(sK2_skl(X0,szRzazndt0(xf),xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,szRzazndt0(xf),xU) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f335,plain,
! [X0] :
( ~ sQ36_spl
| aElementOf0(sK2_skl(X0,szRzazndt0(xf),xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,szRzazndt0(xf),xU) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( ~ sQ31_spl
| sQ36_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f327,f177,f334,f312]) ).
fof(f338,definition,
! [X0] :
( sQ37_spl
<=> ( aElementOf0(X0,xU)
| ~ aElementOf0(X0,szRzazndt0(xf)) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f339,plain,
! [X0] :
( ~ sQ37_spl
| aElementOf0(X0,xU)
| ~ aElementOf0(X0,szRzazndt0(xf)) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( ~ sQ31_spl
| sQ37_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f328,f177,f338,f312]) ).
fof(f342,definition,
( sQ38_spl
<=> aSet0(szRzazndt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( sQ38_spl
| ~ aSet0(szRzazndt0(xf)) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f346,plain,
( ~ sQ32_spl
| ~ isEmpty0(szRzazndt0(xf))
| ~ aSet0(szRzazndt0(xf)) ),
inference(resolution,[status(thm)],[f316,f41]) ).
fof(f347,plain,
( ~ sQ32_spl
| aElement0(sK1_skl(szRzazndt0(xf),xU))
| ~ aSet0(szRzazndt0(xf)) ),
inference(resolution,[status(thm)],[f316,f37]) ).
fof(f348,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f346,f342,f319,f315]) ).
fof(f349,definition,
( sQ39_spl
<=> aElement0(sK1_skl(szRzazndt0(xf),xU)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ39_spl
| aElement0(sK1_skl(szRzazndt0(xf),xU)) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ39_spl
| ~ aElement0(sK1_skl(szRzazndt0(xf),xU)) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( ~ sQ32_spl
| sQ39_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f347,f342,f349,f315]) ).
fof(f353,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f344,f298]) ).
fof(f354,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f353]) ).
fof(f355,plain,
( ~ sQ39_spl
| sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),sK1_skl(szRzazndt0(xf),xU)) ),
inference(resolution,[status(thm)],[f350,f54]) ).
fof(f356,plain,
! [X0] :
( ~ sQ39_spl
| sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),X0)
| ~ sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),X0)
| ~ aElement0(X0)
| ~ aElement0(sK1_skl(szRzazndt0(xf),xU))
| ~ aElement0(sK1_skl(szRzazndt0(xf),xU)) ),
inference(resolution,[status(thm)],[f355,f58]) ).
fof(f357,plain,
( ~ sQ39_spl
| sK1_skl(szRzazndt0(xf),xU) = sK1_skl(szRzazndt0(xf),xU)
| ~ sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),sK1_skl(szRzazndt0(xf),xU))
| ~ aElement0(sK1_skl(szRzazndt0(xf),xU))
| ~ aElement0(sK1_skl(szRzazndt0(xf),xU)) ),
inference(resolution,[status(thm)],[f355,f56]) ).
fof(f358,definition,
! [X0] :
( sQ40_spl
<=> ( sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),X0)
| ~ sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f356,f349,f358]) ).
fof(f362,definition,
( sQ41_spl
<=> sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),sK1_skl(szRzazndt0(xf),xU)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ41_spl
| sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),sK1_skl(szRzazndt0(xf),xU)) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f364,plain,
( sQ41_spl
| ~ sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),sK1_skl(szRzazndt0(xf),xU)) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ42_spl
<=> sK1_skl(szRzazndt0(xf),xU) = sK1_skl(szRzazndt0(xf),xU) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( sQ42_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f357,f349,f362,f365]) ).
fof(f369,plain,
( sQ41_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f355]) ).
fof(f370,plain,
( sQ41_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f371,plain,
! [X0,X1,X2] :
( aLowerBoundOfIn0(sK4_skl(X2,X1,X0),X1,X0)
| ~ aLowerBoundOfIn0(X2,X1,X0)
| aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f63]) ).
fof(f372,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(sK4_skl(X2,X1,X0),X2)
| ~ aLowerBoundOfIn0(X2,X1,X0)
| aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f63]) ).
fof(f373,plain,
( aSubsetOf0(sK8_skl(szRzazndt0(xf)),szRzazndt0(xf))
| aCompleteLattice0(szRzazndt0(xf)) ),
inference(resolution,[status(thm)],[f104,f298]) ).
fof(f374,plain,
( aSubsetOf0(sK8_skl(szDzozmdt0(xf)),szDzozmdt0(xf))
| aCompleteLattice0(szDzozmdt0(xf)) ),
inference(resolution,[status(thm)],[f104,f166]) ).
fof(f376,definition,
( sQ43_spl
<=> aCompleteLattice0(szRzazndt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ43_spl
| aCompleteLattice0(szRzazndt0(xf)) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ44_spl
<=> aSubsetOf0(sK8_skl(szRzazndt0(xf)),szRzazndt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( sQ44_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f373,f376,f379]) ).
fof(f383,definition,
( sQ45_spl
<=> aCompleteLattice0(szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ45_spl
| aCompleteLattice0(szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ46_spl
<=> aSubsetOf0(sK8_skl(szDzozmdt0(xf)),szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f374,f383,f386]) ).
fof(f390,definition,
( sQ47_spl
<=> aCompleteLattice0(xU) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ47_spl
| ~ aCompleteLattice0(xU) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ48_spl
<=> aSubsetOf0(sK8_skl(xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ48_spl
| aSubsetOf0(sK8_skl(xU),xU) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f398,plain,
! [X0,X1,X2] :
( aUpperBoundOfIn0(sK5_skl(X2,X1,X0),X1,X0)
| ~ aUpperBoundOfIn0(X2,X1,X0)
| aSupremumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f71]) ).
fof(f400,plain,
! [X0,X1,X2] :
( ~ sdtlseqdt0(X2,sK5_skl(X2,X1,X0))
| ~ aUpperBoundOfIn0(X2,X1,X0)
| aSupremumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f71]) ).
fof(f401,plain,
( ~ sQ14_spl
| ~ isEmpty0(szDzozmdt0(xf))
| ~ aSet0(szDzozmdt0(xf)) ),
inference(resolution,[status(thm)],[f221,f41]) ).
fof(f402,plain,
( ~ sQ14_spl
| aElement0(sK0_skl(szDzozmdt0(xf)))
| ~ aSet0(szDzozmdt0(xf)) ),
inference(resolution,[status(thm)],[f221,f37]) ).
fof(f403,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f401,f246,f217,f220]) ).
fof(f404,definition,
( sQ49_spl
<=> aElement0(sK0_skl(szDzozmdt0(xf))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ49_spl
| aElement0(sK0_skl(szDzozmdt0(xf))) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( ~ sQ14_spl
| sQ49_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f402,f246,f404,f220]) ).
fof(f408,plain,
( ~ sQ49_spl
| sdtlseqdt0(sK0_skl(szDzozmdt0(xf)),sK0_skl(szDzozmdt0(xf))) ),
inference(resolution,[status(thm)],[f405,f54]) ).
fof(f409,plain,
( ~ sQ34_spl
| ~ isEmpty0(szRzazndt0(xf))
| ~ aSet0(szRzazndt0(xf)) ),
inference(resolution,[status(thm)],[f323,f41]) ).
fof(f410,plain,
( ~ sQ34_spl
| aElement0(sK0_skl(szRzazndt0(xf)))
| ~ aSet0(szRzazndt0(xf)) ),
inference(resolution,[status(thm)],[f323,f37]) ).
fof(f411,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f409,f342,f319,f322]) ).
fof(f412,definition,
( sQ50_spl
<=> aElement0(sK0_skl(szRzazndt0(xf))) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ50_spl
| aElement0(sK0_skl(szRzazndt0(xf))) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( ~ sQ34_spl
| sQ50_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f410,f342,f412,f322]) ).
fof(f416,plain,
( ~ sQ5_spl
| aInfimumOfIn0(sK6_skl(xU,xU),xU,xU)
| ~ aCompleteLattice0(xU) ),
inference(resolution,[status(thm)],[f102,f169]) ).
fof(f417,plain,
( aInfimumOfIn0(sK6_skl(xT,xS),xT,xS)
| ~ aCompleteLattice0(xS) ),
inference(resolution,[status(thm)],[f102,f139]) ).
fof(f418,definition,
( sQ51_spl
<=> aInfimumOfIn0(sK6_skl(xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ51_spl
| aInfimumOfIn0(sK6_skl(xU,xU),xU,xU) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( ~ sQ5_spl
| sQ51_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f416,f390,f418,f168]) ).
fof(f422,definition,
( sQ52_spl
<=> aCompleteLattice0(xS) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( sQ52_spl
| ~ aCompleteLattice0(xS) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ53_spl
<=> aInfimumOfIn0(sK6_skl(xT,xS),xT,xS) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ53_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f417,f422,f425]) ).
fof(f429,plain,
( ~ sQ5_spl
| aSupremumOfIn0(sK7_skl(xU,xU),xU,xU)
| ~ aCompleteLattice0(xU) ),
inference(resolution,[status(thm)],[f103,f169]) ).
fof(f430,plain,
( aSupremumOfIn0(sK7_skl(xT,xS),xT,xS)
| ~ aCompleteLattice0(xS) ),
inference(resolution,[status(thm)],[f103,f139]) ).
fof(f431,definition,
( sQ54_spl
<=> aSupremumOfIn0(sK7_skl(xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ54_spl
| aSupremumOfIn0(sK7_skl(xU,xU),xU,xU) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( ~ sQ5_spl
| sQ54_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f429,f390,f431,f168]) ).
fof(f435,definition,
( sQ55_spl
<=> aSupremumOfIn0(sK7_skl(xT,xS),xT,xS) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ55_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f430,f422,f435]) ).
fof(f439,plain,
( sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f134]) ).
fof(f440,plain,
sQ47_spl,
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f441,plain,
! [X0] :
( ~ sQ51_spl
| sdtlseqdt0(X0,sK6_skl(xU,xU))
| ~ aLowerBoundOfIn0(X0,xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f419,f81]) ).
fof(f442,plain,
( ~ sQ51_spl
| aLowerBoundOfIn0(sK6_skl(xU,xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f419,f80]) ).
fof(f443,plain,
! [X0] :
( ~ sQ51_spl
| sK6_skl(xU,xU) = X0
| ~ aInfimumOfIn0(X0,xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f419,f96]) ).
fof(f444,plain,
( ~ sQ51_spl
| aElementOf0(sK6_skl(xU,xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f419,f79]) ).
fof(f445,definition,
! [X0] :
( sQ56_spl
<=> ( sdtlseqdt0(X0,sK6_skl(xU,xU))
| ~ aLowerBoundOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f446,plain,
! [X0] :
( ~ sQ56_spl
| sdtlseqdt0(X0,sK6_skl(xU,xU))
| ~ aLowerBoundOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( ~ sQ51_spl
| sQ56_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f441,f177,f168,f445,f418]) ).
fof(f449,definition,
( sQ57_spl
<=> aLowerBoundOfIn0(sK6_skl(xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ57_spl
| aLowerBoundOfIn0(sK6_skl(xU,xU),xU,xU) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( ~ sQ51_spl
| sQ57_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f442,f177,f168,f449,f418]) ).
fof(f453,definition,
! [X0] :
( sQ58_spl
<=> ( sK6_skl(xU,xU) = X0
| ~ aInfimumOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f454,plain,
! [X0] :
( ~ sQ58_spl
| sK6_skl(xU,xU) = X0
| ~ aInfimumOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( ~ sQ51_spl
| sQ58_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f443,f177,f168,f453,f418]) ).
fof(f457,definition,
( sQ59_spl
<=> aElementOf0(sK6_skl(xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ59_spl
| aElementOf0(sK6_skl(xU,xU),xU) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( ~ sQ51_spl
| sQ59_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f444,f177,f168,f457,f418]) ).
fof(f461,plain,
! [X0] :
( ~ sQ54_spl
| sK7_skl(xU,xU) = X0
| ~ aSupremumOfIn0(X0,xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f432,f94]) ).
fof(f462,plain,
! [X0] :
( ~ sQ54_spl
| sdtlseqdt0(sK7_skl(xU,xU),X0)
| ~ aUpperBoundOfIn0(X0,xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f432,f90]) ).
fof(f463,plain,
( ~ sQ54_spl
| aUpperBoundOfIn0(sK7_skl(xU,xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f432,f89]) ).
fof(f464,plain,
( ~ sQ54_spl
| aElementOf0(sK7_skl(xU,xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f432,f88]) ).
fof(f465,definition,
! [X0] :
( sQ60_spl
<=> ( sK7_skl(xU,xU) = X0
| ~ aSupremumOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f466,plain,
! [X0] :
( ~ sQ60_spl
| sK7_skl(xU,xU) = X0
| ~ aSupremumOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( ~ sQ54_spl
| sQ60_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f461,f177,f168,f465,f431]) ).
fof(f469,definition,
! [X0] :
( sQ61_spl
<=> ( sdtlseqdt0(sK7_skl(xU,xU),X0)
| ~ aUpperBoundOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f470,plain,
! [X0] :
( ~ sQ61_spl
| sdtlseqdt0(sK7_skl(xU,xU),X0)
| ~ aUpperBoundOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( ~ sQ54_spl
| sQ61_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f462,f177,f168,f469,f431]) ).
fof(f473,definition,
( sQ62_spl
<=> aUpperBoundOfIn0(sK7_skl(xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ62_spl
| aUpperBoundOfIn0(sK7_skl(xU,xU),xU,xU) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( ~ sQ54_spl
| sQ62_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f463,f177,f168,f473,f431]) ).
fof(f477,definition,
( sQ63_spl
<=> aElementOf0(sK7_skl(xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ63_spl
| aElementOf0(sK7_skl(xU,xU),xU) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( ~ sQ54_spl
| sQ63_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f464,f177,f168,f477,f431]) ).
fof(f481,plain,
( ~ sQ29_spl
| ~ sQ59_spl
| aElementOf0(sK3_skl(sK6_skl(xU,xU),xU,xU),xU)
| aUpperBoundOfIn0(sK6_skl(xU,xU),xU,xU) ),
inference(resolution,[status(thm)],[f458,f302]) ).
fof(f482,plain,
( ~ sQ15_spl
| ~ sQ59_spl
| aElementOf0(sK2_skl(sK6_skl(xU,xU),xU,xU),xU)
| aLowerBoundOfIn0(sK6_skl(xU,xU),xU,xU) ),
inference(resolution,[status(thm)],[f458,f228]) ).
fof(f483,plain,
( ~ sQ59_spl
| ~ isEmpty0(xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f458,f41]) ).
fof(f484,plain,
( ~ sQ59_spl
| aElement0(sK6_skl(xU,xU))
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f458,f37]) ).
fof(f485,definition,
( sQ64_spl
<=> aUpperBoundOfIn0(sK6_skl(xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ64_spl
| aUpperBoundOfIn0(sK6_skl(xU,xU),xU,xU) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ65_spl
<=> aElementOf0(sK3_skl(sK6_skl(xU,xU),xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ29_spl
| ~ sQ59_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f481,f485,f488,f457,f301]) ).
fof(f492,definition,
( sQ66_spl
<=> aElementOf0(sK2_skl(sK6_skl(xU,xU),xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ15_spl
| ~ sQ59_spl
| sQ66_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f482,f449,f492,f457,f227]) ).
fof(f496,plain,
( ~ sQ59_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f483,f177,f145,f457]) ).
fof(f497,definition,
( sQ67_spl
<=> aElement0(sK6_skl(xU,xU)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ67_spl
| aElement0(sK6_skl(xU,xU)) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( ~ sQ59_spl
| sQ67_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f484,f177,f497,f457]) ).
fof(f501,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| aElementOf0(sK3_skl(sK0_skl(xU),xU,xU),xU)
| aUpperBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(resolution,[status(thm)],[f149,f302]) ).
fof(f505,definition,
( sQ68_spl
<=> aUpperBoundOfIn0(sK0_skl(xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ68_spl
| aUpperBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ69_spl
<=> aElementOf0(sK3_skl(sK0_skl(xU),xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f501,f505,f508,f148,f301]) ).
fof(f516,plain,
( ~ sQ50_spl
| sdtlseqdt0(sK0_skl(szRzazndt0(xf)),sK0_skl(szRzazndt0(xf))) ),
inference(resolution,[status(thm)],[f413,f54]) ).
fof(f517,plain,
( ~ sQ67_spl
| sdtlseqdt0(sK6_skl(xU,xU),sK6_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f498,f54]) ).
fof(f518,plain,
( szDzozmdt0(xf) = szRzazndt0(xf)
| ~ aSet0(xU)
| ~ aFunction0(xf) ),
inference(resolution,[status(thm)],[f115,f137]) ).
fof(f519,definition,
( sQ70_spl
<=> aFunction0(xf) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( sQ70_spl
| ~ aFunction0(xf) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ71_spl
<=> szDzozmdt0(xf) = szRzazndt0(xf) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ71_spl
| szDzozmdt0(xf) = szRzazndt0(xf) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( sQ71_spl
| ~ sQ7_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f518,f519,f177,f522]) ).
fof(f526,plain,
( sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f135]) ).
fof(f527,plain,
sQ70_spl,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( szRzazndt0(xf) = xU
| ~ aSet0(xU)
| ~ aFunction0(xf) ),
inference(resolution,[status(thm)],[f116,f137]) ).
fof(f529,definition,
( sQ72_spl
<=> szRzazndt0(xf) = xU ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ72_spl
| szRzazndt0(xf) = xU ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( sQ72_spl
| ~ sQ7_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f528,f519,f177,f529]) ).
fof(f533,plain,
! [X0] :
( szRzazndt0(xf) != X0
| szDzozmdt0(xf) != szRzazndt0(xf)
| isOn0(xf,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f117,f135]) ).
fof(f534,definition,
! [X0] :
( sQ73_spl
<=> ( szRzazndt0(xf) != X0
| isOn0(xf,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f535,plain,
! [X0] :
( ~ sQ73_spl
| szRzazndt0(xf) != X0
| isOn0(xf,X0)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ71_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f533,f534,f522]) ).
fof(f538,plain,
( ~ sQ50_spl
| ~ sQ72_spl
| aElement0(sK0_skl(xU)) ),
inference(backward_demodulation,[status(thm)],[f530,f413]) ).
fof(f539,plain,
( ~ sQ34_spl
| ~ sQ72_spl
| aElementOf0(sK0_skl(szRzazndt0(xf)),xU) ),
inference(backward_demodulation,[status(thm)],[f530,f323]) ).
fof(f541,plain,
( sQ33_spl
| ~ sQ72_spl
| ~ isEmpty0(xU) ),
inference(backward_demodulation,[status(thm)],[f530,f321]) ).
fof(f542,plain,
( ~ sQ39_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(szRzazndt0(xf),xU),sK1_skl(xU,xU)) ),
inference(backward_demodulation,[status(thm)],[f530,f355]) ).
fof(f543,plain,
( ~ sQ39_spl
| ~ sQ72_spl
| aElement0(sK1_skl(xU,xU)) ),
inference(backward_demodulation,[status(thm)],[f530,f350]) ).
fof(f544,plain,
( ~ sQ32_spl
| ~ sQ72_spl
| aElementOf0(sK1_skl(szRzazndt0(xf),xU),xU) ),
inference(backward_demodulation,[status(thm)],[f530,f316]) ).
fof(f545,plain,
( sQ31_spl
| ~ sQ72_spl
| ~ aSubsetOf0(xU,xU) ),
inference(backward_demodulation,[status(thm)],[f530,f314]) ).
fof(f547,plain,
( ~ sQ34_spl
| ~ sQ72_spl
| aElementOf0(sK0_skl(xU),xU) ),
inference(forward_demodulation,[status(thm)],[f530,f539]) ).
fof(f548,plain,
( ~ sQ39_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f530,f542]) ).
fof(f549,plain,
( ~ sQ32_spl
| ~ sQ72_spl
| aElementOf0(sK1_skl(xU,xU),xU) ),
inference(forward_demodulation,[status(thm)],[f530,f544]) ).
fof(f550,plain,
( ~ sQ32_spl
| ~ sQ72_spl
| sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f173]) ).
fof(f551,plain,
( ~ sQ32_spl
| ~ sQ72_spl
| sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f550]) ).
fof(f552,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ72_spl
| aElementOf0(sK3_skl(X0,szRzazndt0(xf),xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f530,f331]) ).
fof(f553,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ72_spl
| aElementOf0(sK3_skl(X0,xU,xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f530,f552]) ).
fof(f554,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ72_spl
| aElementOf0(sK3_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aUpperBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f530,f553]) ).
fof(f555,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ72_spl
| aElementOf0(sK2_skl(X0,szRzazndt0(xf),xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f530,f335]) ).
fof(f556,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ72_spl
| aElementOf0(sK2_skl(X0,xU,xU),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f530,f555]) ).
fof(f557,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ72_spl
| aElementOf0(sK2_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f530,f556]) ).
fof(f558,plain,
( ~ sQ31_spl
| ~ sQ72_spl
| aSubsetOf0(xU,xU) ),
inference(forward_demodulation,[status(thm)],[f530,f313]) ).
fof(f559,plain,
( sQ32_spl
| ~ sQ72_spl
| ~ aElementOf0(sK1_skl(xU,xU),szRzazndt0(xf)) ),
inference(forward_demodulation,[status(thm)],[f530,f317]) ).
fof(f560,plain,
( sQ32_spl
| ~ sQ72_spl
| ~ aElementOf0(sK1_skl(xU,xU),xU) ),
inference(forward_demodulation,[status(thm)],[f530,f559]) ).
fof(f561,plain,
( sQ39_spl
| ~ sQ72_spl
| ~ aElement0(sK1_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f530,f351]) ).
fof(f562,plain,
( ~ sQ49_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElement0(sK0_skl(xU)) ),
inference(backward_demodulation,[status(thm)],[f571,f405]) ).
fof(f563,plain,
( ~ sQ14_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK0_skl(szDzozmdt0(xf)),xU) ),
inference(backward_demodulation,[status(thm)],[f571,f221]) ).
fof(f565,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(szDzozmdt0(xf),xU),sK1_skl(xU,xU)) ),
inference(backward_demodulation,[status(thm)],[f571,f282]) ).
fof(f566,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElement0(sK1_skl(xU,xU)) ),
inference(backward_demodulation,[status(thm)],[f571,f269]) ).
fof(f567,plain,
( sQ13_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ isEmpty0(xU) ),
inference(backward_demodulation,[status(thm)],[f571,f219]) ).
fof(f568,plain,
( ~ sQ12_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK1_skl(szDzozmdt0(xf),xU),xU) ),
inference(backward_demodulation,[status(thm)],[f571,f214]) ).
fof(f569,plain,
( sQ11_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ aSubsetOf0(xU,xU) ),
inference(backward_demodulation,[status(thm)],[f571,f212]) ).
fof(f571,plain,
( ~ sQ71_spl
| ~ sQ72_spl
| szDzozmdt0(xf) = xU ),
inference(forward_demodulation,[status(thm)],[f530,f523]) ).
fof(f572,plain,
( ~ sQ14_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK0_skl(xU),xU) ),
inference(forward_demodulation,[status(thm)],[f571,f563]) ).
fof(f573,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f571,f565]) ).
fof(f574,plain,
( ~ sQ12_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK1_skl(xU,xU),xU) ),
inference(forward_demodulation,[status(thm)],[f571,f568]) ).
fof(f575,plain,
( sQ11_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f169]) ).
fof(f576,plain,
( sQ11_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f575]) ).
fof(f577,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK2_skl(X0,szDzozmdt0(xf),xU),szDzozmdt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f571,f239]) ).
fof(f578,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK2_skl(X0,xU,xU),szDzozmdt0(xf))
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f571,f577]) ).
fof(f579,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK2_skl(X0,xU,xU),xU)
| ~ aElementOf0(X0,xU)
| aLowerBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f571,f578]) ).
fof(f580,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aSubsetOf0(xU,xU) ),
inference(forward_demodulation,[status(thm)],[f571,f211]) ).
fof(f581,plain,
( ~ sQ9_spl
| sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f191,f54]) ).
fof(f582,plain,
( sQ39_spl
| ~ sQ72_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f191]) ).
fof(f583,plain,
( sQ39_spl
| ~ sQ72_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f584,plain,
( ~ sQ41_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(szRzazndt0(xf),xU)) ),
inference(forward_demodulation,[status(thm)],[f530,f363]) ).
fof(f585,plain,
( ~ sQ41_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f530,f584]) ).
fof(f586,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f566,f54]) ).
fof(f587,plain,
( ~ sQ29_spl
| ~ sQ63_spl
| aElementOf0(sK3_skl(sK7_skl(xU,xU),xU,xU),xU)
| aUpperBoundOfIn0(sK7_skl(xU,xU),xU,xU) ),
inference(resolution,[status(thm)],[f478,f302]) ).
fof(f588,plain,
( ~ sQ15_spl
| ~ sQ63_spl
| aElementOf0(sK2_skl(sK7_skl(xU,xU),xU,xU),xU)
| aLowerBoundOfIn0(sK7_skl(xU,xU),xU,xU) ),
inference(resolution,[status(thm)],[f478,f228]) ).
fof(f589,plain,
( ~ sQ63_spl
| ~ isEmpty0(xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f478,f41]) ).
fof(f590,plain,
( ~ sQ63_spl
| aElement0(sK7_skl(xU,xU))
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f478,f37]) ).
fof(f591,definition,
( sQ74_spl
<=> aElementOf0(sK3_skl(sK7_skl(xU,xU),xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ29_spl
| ~ sQ63_spl
| sQ74_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f587,f473,f591,f477,f301]) ).
fof(f595,definition,
( sQ75_spl
<=> aLowerBoundOfIn0(sK7_skl(xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ75_spl
| aLowerBoundOfIn0(sK7_skl(xU,xU),xU,xU) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ76_spl
<=> aElementOf0(sK2_skl(sK7_skl(xU,xU),xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ15_spl
| ~ sQ63_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f588,f595,f598,f477,f227]) ).
fof(f602,plain,
( ~ sQ63_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f589,f177,f145,f477]) ).
fof(f603,definition,
( sQ77_spl
<=> aElement0(sK7_skl(xU,xU)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ77_spl
| aElement0(sK7_skl(xU,xU)) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( ~ sQ63_spl
| sQ77_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f590,f177,f603,f477]) ).
fof(f607,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sdtlpdtrp0(xf,X0),szRzazndt0(xf))
| ~ aElementOf0(X0,xU)
| ~ aFunction0(xf) ),
inference(paramodulation,[status(thm)],[f571,f119]) ).
fof(f608,definition,
! [X0] :
( sQ78_spl
<=> ( aElementOf0(sdtlpdtrp0(xf,X0),szRzazndt0(xf))
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f609,plain,
! [X0] :
( ~ sQ78_spl
| aElementOf0(sdtlpdtrp0(xf,X0),szRzazndt0(xf))
| ~ aElementOf0(X0,xU) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( ~ sQ71_spl
| ~ sQ72_spl
| sQ78_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f607,f519,f608,f529,f522]) ).
fof(f612,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ72_spl
| aElementOf0(sdtlpdtrp0(xf,X0),xU)
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[status(thm)],[f530,f609]) ).
fof(f613,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ72_spl
| sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,xU)
| aFixedPointOf0(X0,xf)
| ~ aFunction0(xf) ),
inference(paramodulation,[status(thm)],[f571,f125]) ).
fof(f614,definition,
! [X0] :
( sQ79_spl
<=> ( sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,xU)
| aFixedPointOf0(X0,xf) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f615,plain,
! [X0] :
( ~ sQ79_spl
| sdtlpdtrp0(xf,X0) != X0
| ~ aElementOf0(X0,xU)
| aFixedPointOf0(X0,xf) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ71_spl
| ~ sQ72_spl
| sQ79_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f613,f519,f614,f529,f522]) ).
fof(f618,plain,
( ~ sQ77_spl
| sdtlseqdt0(sK7_skl(xU,xU),sK7_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f604,f54]) ).
fof(f619,plain,
( ~ sQ63_spl
| ~ sQ78_spl
| ~ sQ72_spl
| aElementOf0(sdtlpdtrp0(xf,sK7_skl(xU,xU)),xU) ),
inference(resolution,[status(thm)],[f612,f478]) ).
fof(f620,plain,
( ~ sQ59_spl
| ~ sQ78_spl
| ~ sQ72_spl
| aElementOf0(sdtlpdtrp0(xf,sK6_skl(xU,xU)),xU) ),
inference(resolution,[status(thm)],[f612,f458]) ).
fof(f621,plain,
( ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| aElementOf0(sdtlpdtrp0(xf,sK0_skl(xU)),xU) ),
inference(resolution,[status(thm)],[f612,f149]) ).
fof(f622,plain,
( ~ sQ24_spl
| aLowerBoundOfIn0(sK4_skl(sK0_skl(xU),xU,xU),xU,xU)
| aInfimumOfIn0(sK0_skl(xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f276,f371]) ).
fof(f623,plain,
! [X0] :
( ~ sQ24_spl
| sdtlseqdt0(sK0_skl(xU),X0)
| ~ aElementOf0(X0,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f276,f64]) ).
fof(f624,plain,
( ~ sQ24_spl
| aElementOf0(sK0_skl(xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f276,f63]) ).
fof(f625,definition,
( sQ80_spl
<=> aInfimumOfIn0(sK0_skl(xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ80_spl
| aInfimumOfIn0(sK0_skl(xU),xU,xU) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ81_spl
<=> aLowerBoundOfIn0(sK4_skl(sK0_skl(xU),xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ24_spl
| sQ81_spl
| sQ80_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f622,f177,f168,f625,f628,f275]) ).
fof(f632,definition,
! [X0] :
( sQ82_spl
<=> ( sdtlseqdt0(sK0_skl(xU),X0)
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f633,plain,
! [X0] :
( ~ sQ82_spl
| sdtlseqdt0(sK0_skl(xU),X0)
| ~ aElementOf0(X0,xU) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( ~ sQ24_spl
| sQ82_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f623,f177,f168,f632,f275]) ).
fof(f636,plain,
( ~ sQ24_spl
| sQ1_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f624,f177,f168,f148,f275]) ).
fof(f641,plain,
( ~ sQ63_spl
| ~ sQ79_spl
| sdtlpdtrp0(xf,sK7_skl(xU,xU)) != sK7_skl(xU,xU)
| aFixedPointOf0(sK7_skl(xU,xU),xf) ),
inference(resolution,[status(thm)],[f615,f478]) ).
fof(f642,plain,
( ~ sQ59_spl
| ~ sQ79_spl
| sdtlpdtrp0(xf,sK6_skl(xU,xU)) != sK6_skl(xU,xU)
| aFixedPointOf0(sK6_skl(xU,xU),xf) ),
inference(resolution,[status(thm)],[f615,f458]) ).
fof(f643,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| sdtlpdtrp0(xf,sK0_skl(xU)) != sK0_skl(xU)
| aFixedPointOf0(sK0_skl(xU),xf) ),
inference(resolution,[status(thm)],[f615,f149]) ).
fof(f644,definition,
( sQ83_spl
<=> aFixedPointOf0(sK7_skl(xU,xU),xf) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ83_spl
| aFixedPointOf0(sK7_skl(xU,xU),xf) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ84_spl
<=> sdtlpdtrp0(xf,sK7_skl(xU,xU)) = sK7_skl(xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ84_spl
| sdtlpdtrp0(xf,sK7_skl(xU,xU)) = sK7_skl(xU,xU) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( ~ sQ63_spl
| ~ sQ79_spl
| ~ sQ84_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f641,f644,f647,f614,f477]) ).
fof(f651,definition,
( sQ85_spl
<=> aFixedPointOf0(sK6_skl(xU,xU),xf) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( ~ sQ85_spl
| aFixedPointOf0(sK6_skl(xU,xU),xf) ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ86_spl
<=> sdtlpdtrp0(xf,sK6_skl(xU,xU)) = sK6_skl(xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ86_spl
| sdtlpdtrp0(xf,sK6_skl(xU,xU)) = sK6_skl(xU,xU) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( ~ sQ59_spl
| ~ sQ79_spl
| ~ sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f642,f651,f654,f614,f457]) ).
fof(f658,definition,
( sQ87_spl
<=> aFixedPointOf0(sK0_skl(xU),xf) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ87_spl
| aFixedPointOf0(sK0_skl(xU),xf) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,definition,
( sQ88_spl
<=> sdtlpdtrp0(xf,sK0_skl(xU)) = sK0_skl(xU) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ88_spl
| sdtlpdtrp0(xf,sK0_skl(xU)) = sK0_skl(xU) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ88_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f643,f658,f661,f614,f148]) ).
fof(f665,plain,
( ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| sdtlpdtrp0(xf,sdtlpdtrp0(xf,sK0_skl(xU))) != sdtlpdtrp0(xf,sK0_skl(xU))
| aFixedPointOf0(sdtlpdtrp0(xf,sK0_skl(xU)),xf) ),
inference(resolution,[status(thm)],[f621,f615]) ).
fof(f666,plain,
( ~ sQ78_spl
| ~ sQ72_spl
| ~ sQ1_spl
| aElementOf0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,sK0_skl(xU))),xU) ),
inference(resolution,[status(thm)],[f621,f612]) ).
fof(f667,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| aElementOf0(sK3_skl(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU),xU)
| aUpperBoundOfIn0(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU) ),
inference(resolution,[status(thm)],[f621,f302]) ).
fof(f668,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| aElementOf0(sK2_skl(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU),xU)
| aLowerBoundOfIn0(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU) ),
inference(resolution,[status(thm)],[f621,f228]) ).
fof(f670,plain,
( ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| aElement0(sdtlpdtrp0(xf,sK0_skl(xU)))
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f621,f37]) ).
fof(f671,definition,
( sQ89_spl
<=> aFixedPointOf0(sdtlpdtrp0(xf,sK0_skl(xU)),xf) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ89_spl
| aFixedPointOf0(sdtlpdtrp0(xf,sK0_skl(xU)),xf) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ90_spl
<=> sdtlpdtrp0(xf,sdtlpdtrp0(xf,sK0_skl(xU))) = sdtlpdtrp0(xf,sK0_skl(xU)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| ~ sQ90_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f665,f671,f674,f529,f608,f148,f614]) ).
fof(f678,definition,
( sQ91_spl
<=> aUpperBoundOfIn0(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f679,plain,
( ~ sQ91_spl
| aUpperBoundOfIn0(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,definition,
( sQ92_spl
<=> aElementOf0(sK3_skl(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| sQ92_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f667,f678,f681,f529,f608,f148,f301]) ).
fof(f685,definition,
( sQ93_spl
<=> aLowerBoundOfIn0(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ93_spl
| aLowerBoundOfIn0(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,definition,
( sQ94_spl
<=> aElementOf0(sK2_skl(sdtlpdtrp0(xf,sK0_skl(xU)),xU,xU),xU) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f668,f685,f688,f529,f608,f148,f227]) ).
fof(f693,definition,
( sQ95_spl
<=> aElement0(sdtlpdtrp0(xf,sK0_skl(xU))) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ95_spl
| aElement0(sdtlpdtrp0(xf,sK0_skl(xU))) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( ~ sQ1_spl
| ~ sQ78_spl
| ~ sQ72_spl
| sQ95_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f670,f177,f693,f529,f608,f148]) ).
fof(f697,plain,
( ~ sQ87_spl
| aElementOf0(sK0_skl(xU),szDzozmdt0(xf))
| ~ aFunction0(xf) ),
inference(resolution,[status(thm)],[f659,f123]) ).
fof(f698,plain,
( ~ sQ87_spl
| sdtlpdtrp0(xf,sK0_skl(xU)) = sK0_skl(xU)
| ~ aFunction0(xf) ),
inference(resolution,[status(thm)],[f659,f124]) ).
fof(f699,definition,
( sQ96_spl
<=> aElementOf0(sK0_skl(xU),szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ96_spl
| aElementOf0(sK0_skl(xU),szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,plain,
( ~ sQ87_spl
| sQ96_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f697,f519,f699,f658]) ).
fof(f703,plain,
( ~ sQ87_spl
| sQ88_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f698,f519,f661,f658]) ).
fof(f704,plain,
( ~ sQ96_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK0_skl(xU),xU) ),
inference(forward_demodulation,[status(thm)],[f571,f700]) ).
fof(f705,plain,
( ~ sQ68_spl
| aUpperBoundOfIn0(sK5_skl(sK0_skl(xU),xU,xU),xU,xU)
| aSupremumOfIn0(sK0_skl(xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f506,f398]) ).
fof(f706,plain,
! [X0] :
( ~ sQ68_spl
| sdtlseqdt0(X0,sK0_skl(xU))
| ~ aElementOf0(X0,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f506,f72]) ).
fof(f707,plain,
( ~ sQ68_spl
| aElementOf0(sK0_skl(xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f506,f71]) ).
fof(f708,definition,
( sQ97_spl
<=> aSupremumOfIn0(sK0_skl(xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ97_spl
| aSupremumOfIn0(sK0_skl(xU),xU,xU) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ98_spl
<=> aUpperBoundOfIn0(sK5_skl(sK0_skl(xU),xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ68_spl
| sQ98_spl
| sQ97_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f705,f177,f168,f708,f711,f505]) ).
fof(f715,definition,
! [X0] :
( sQ99_spl
<=> ( sdtlseqdt0(X0,sK0_skl(xU))
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f716,plain,
! [X0] :
( ~ sQ99_spl
| sdtlseqdt0(X0,sK0_skl(xU))
| ~ aElementOf0(X0,xU) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( ~ sQ68_spl
| sQ99_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f706,f177,f168,f715,f505]) ).
fof(f719,plain,
( ~ sQ68_spl
| sQ1_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f707,f177,f168,f148,f505]) ).
fof(f720,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,xU)
| ~ isMonotone0(xf)
| ~ aFunction0(xf) ),
inference(paramodulation,[status(thm)],[f571,f129]) ).
fof(f721,definition,
( sQ100_spl
<=> isMonotone0(xf) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( sQ100_spl
| ~ isMonotone0(xf) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,definition,
! [X0,X1] :
( sQ101_spl
<=> ( sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f725,plain,
! [X0,X1] :
( ~ sQ101_spl
| sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X0,xU) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ sQ71_spl
| ~ sQ72_spl
| sQ101_spl
| ~ sQ100_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f720,f519,f721,f724,f529,f522]) ).
fof(f728,plain,
( sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f723,f136]) ).
fof(f729,plain,
sQ100_spl,
inference(contradiction_clause,[status(thm)],[f728]) ).
fof(f730,plain,
! [X0,X1] :
( ~ sQ101_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sdtlpdtrp0(xf,X0),sdtlpdtrp0(xf,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,xU)
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[status(thm)],[f571,f725]) ).
fof(f741,plain,
( ~ sQ10_spl
| ~ sQ101_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sdtlpdtrp0(xf,sK0_skl(xU)),sdtlpdtrp0(xf,sK0_skl(xU)))
| ~ aElementOf0(sK0_skl(xU),xU)
| ~ aElementOf0(sK0_skl(xU),xU) ),
inference(resolution,[status(thm)],[f730,f224]) ).
fof(f742,definition,
( sQ104_spl
<=> sdtlseqdt0(sdtlpdtrp0(xf,sK0_skl(xU)),sdtlpdtrp0(xf,sK0_skl(xU))) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ104_spl
| sdtlseqdt0(sdtlpdtrp0(xf,sK0_skl(xU)),sdtlpdtrp0(xf,sK0_skl(xU))) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( ~ sQ10_spl
| ~ sQ101_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sQ104_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f741,f148,f742,f529,f522,f724,f203]) ).
fof(f746,plain,
! [X0] :
( ~ sQ80_spl
| sdtlseqdt0(X0,sK0_skl(xU))
| ~ aLowerBoundOfIn0(X0,xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f626,f81]) ).
fof(f747,plain,
( ~ sQ80_spl
| aLowerBoundOfIn0(sK0_skl(xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f626,f80]) ).
fof(f748,plain,
! [X0] :
( ~ sQ80_spl
| sK0_skl(xU) = X0
| ~ aInfimumOfIn0(X0,xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f626,f96]) ).
fof(f749,plain,
( ~ sQ80_spl
| aElementOf0(sK0_skl(xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f626,f79]) ).
fof(f750,definition,
! [X0] :
( sQ105_spl
<=> ( sdtlseqdt0(X0,sK0_skl(xU))
| ~ aLowerBoundOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f751,plain,
! [X0] :
( ~ sQ105_spl
| sdtlseqdt0(X0,sK0_skl(xU))
| ~ aLowerBoundOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( ~ sQ80_spl
| sQ105_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f746,f177,f168,f750,f625]) ).
fof(f754,plain,
( ~ sQ80_spl
| sQ24_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f747,f177,f168,f275,f625]) ).
fof(f755,definition,
! [X0] :
( sQ106_spl
<=> ( sK0_skl(xU) = X0
| ~ aInfimumOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f756,plain,
! [X0] :
( ~ sQ106_spl
| sK0_skl(xU) = X0
| ~ aInfimumOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( ~ sQ80_spl
| sQ106_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f748,f177,f168,f755,f625]) ).
fof(f759,plain,
( ~ sQ80_spl
| sQ1_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f749,f177,f168,f148,f625]) ).
fof(f760,plain,
( ~ sQ83_spl
| aElementOf0(sK7_skl(xU,xU),szDzozmdt0(xf))
| ~ aFunction0(xf) ),
inference(resolution,[status(thm)],[f645,f123]) ).
fof(f761,plain,
( ~ sQ83_spl
| sdtlpdtrp0(xf,sK7_skl(xU,xU)) = sK7_skl(xU,xU)
| ~ aFunction0(xf) ),
inference(resolution,[status(thm)],[f645,f124]) ).
fof(f762,definition,
( sQ107_spl
<=> aElementOf0(sK7_skl(xU,xU),szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ107_spl
| aElementOf0(sK7_skl(xU,xU),szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( ~ sQ83_spl
| sQ107_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f760,f519,f762,f644]) ).
fof(f766,plain,
( ~ sQ83_spl
| sQ84_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f761,f519,f647,f644]) ).
fof(f767,plain,
( ~ sQ107_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK7_skl(xU,xU),xU) ),
inference(forward_demodulation,[status(thm)],[f571,f763]) ).
fof(f771,plain,
( ~ sQ85_spl
| aElementOf0(sK6_skl(xU,xU),szDzozmdt0(xf))
| ~ aFunction0(xf) ),
inference(resolution,[status(thm)],[f652,f123]) ).
fof(f772,plain,
( ~ sQ85_spl
| sdtlpdtrp0(xf,sK6_skl(xU,xU)) = sK6_skl(xU,xU)
| ~ aFunction0(xf) ),
inference(resolution,[status(thm)],[f652,f124]) ).
fof(f773,definition,
( sQ108_spl
<=> aElementOf0(sK6_skl(xU,xU),szDzozmdt0(xf)) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ108_spl
| aElementOf0(sK6_skl(xU,xU),szDzozmdt0(xf)) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( ~ sQ85_spl
| sQ108_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f771,f519,f773,f651]) ).
fof(f777,plain,
( ~ sQ85_spl
| sQ86_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f772,f519,f654,f651]) ).
fof(f778,plain,
( ~ sQ108_spl
| ~ sQ71_spl
| ~ sQ72_spl
| aElementOf0(sK6_skl(xU,xU),xU) ),
inference(forward_demodulation,[status(thm)],[f571,f774]) ).
fof(f779,plain,
( ~ sQ95_spl
| ~ sQ88_spl
| aElement0(sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f662,f694]) ).
fof(f780,plain,
! [X0] :
( ~ sQ97_spl
| sK0_skl(xU) = X0
| ~ aSupremumOfIn0(X0,xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f709,f94]) ).
fof(f781,plain,
! [X0] :
( ~ sQ97_spl
| sdtlseqdt0(sK0_skl(xU),X0)
| ~ aUpperBoundOfIn0(X0,xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f709,f90]) ).
fof(f782,plain,
( ~ sQ97_spl
| aUpperBoundOfIn0(sK0_skl(xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f709,f89]) ).
fof(f783,plain,
( ~ sQ97_spl
| aElementOf0(sK0_skl(xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f709,f88]) ).
fof(f784,definition,
! [X0] :
( sQ109_spl
<=> ( sK0_skl(xU) = X0
| ~ aSupremumOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f785,plain,
! [X0] :
( ~ sQ109_spl
| sK0_skl(xU) = X0
| ~ aSupremumOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,plain,
( ~ sQ97_spl
| sQ109_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f780,f177,f168,f784,f708]) ).
fof(f788,definition,
! [X0] :
( sQ110_spl
<=> ( sdtlseqdt0(sK0_skl(xU),X0)
| ~ aUpperBoundOfIn0(X0,xU,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f789,plain,
! [X0] :
( ~ sQ110_spl
| sdtlseqdt0(sK0_skl(xU),X0)
| ~ aUpperBoundOfIn0(X0,xU,xU) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( ~ sQ97_spl
| sQ110_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f781,f177,f168,f788,f708]) ).
fof(f792,plain,
( ~ sQ97_spl
| sQ68_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f782,f177,f168,f505,f708]) ).
fof(f793,plain,
( ~ sQ97_spl
| sQ1_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f783,f177,f168,f148,f708]) ).
fof(f799,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ72_spl
| xU != X0
| isOn0(xf,X0)
| ~ aSet0(X0) ),
inference(forward_demodulation,[status(thm)],[f530,f535]) ).
fof(f800,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| xU != xU
| isOn0(xf,xU) ),
inference(resolution,[status(thm)],[f799,f143]) ).
fof(f801,definition,
( sQ112_spl
<=> isOn0(xf,xU) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f804,definition,
( sQ113_spl
<=> xU = xU ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| ~ sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f800,f801,f804,f529,f534]) ).
fof(f808,plain,
( ~ sQ57_spl
| aLowerBoundOfIn0(sK4_skl(sK6_skl(xU,xU),xU,xU),xU,xU)
| aInfimumOfIn0(sK6_skl(xU,xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f450,f371]) ).
fof(f809,plain,
! [X0] :
( ~ sQ57_spl
| sdtlseqdt0(sK6_skl(xU,xU),X0)
| ~ aElementOf0(X0,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f450,f64]) ).
fof(f810,plain,
( ~ sQ57_spl
| aElementOf0(sK6_skl(xU,xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f450,f63]) ).
fof(f811,definition,
( sQ114_spl
<=> aLowerBoundOfIn0(sK4_skl(sK6_skl(xU,xU),xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ57_spl
| sQ114_spl
| sQ51_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f808,f177,f168,f418,f811,f449]) ).
fof(f815,definition,
! [X0] :
( sQ115_spl
<=> ( sdtlseqdt0(sK6_skl(xU,xU),X0)
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f816,plain,
! [X0] :
( ~ sQ115_spl
| sdtlseqdt0(sK6_skl(xU,xU),X0)
| ~ aElementOf0(X0,xU) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( ~ sQ57_spl
| sQ115_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f809,f177,f168,f815,f449]) ).
fof(f819,plain,
( ~ sQ57_spl
| sQ59_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f810,f177,f168,f457,f449]) ).
fof(f820,plain,
( ~ sQ89_spl
| ~ sQ88_spl
| aFixedPointOf0(sK0_skl(xU),xf) ),
inference(forward_demodulation,[status(thm)],[f662,f672]) ).
fof(f821,plain,
( ~ sQ62_spl
| aUpperBoundOfIn0(sK5_skl(sK7_skl(xU,xU),xU,xU),xU,xU)
| aSupremumOfIn0(sK7_skl(xU,xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f474,f398]) ).
fof(f822,plain,
! [X0] :
( ~ sQ62_spl
| sdtlseqdt0(X0,sK7_skl(xU,xU))
| ~ aElementOf0(X0,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f474,f72]) ).
fof(f823,plain,
( ~ sQ62_spl
| aElementOf0(sK7_skl(xU,xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f474,f71]) ).
fof(f824,definition,
( sQ116_spl
<=> aUpperBoundOfIn0(sK5_skl(sK7_skl(xU,xU),xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ62_spl
| sQ116_spl
| sQ54_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f821,f177,f168,f431,f824,f473]) ).
fof(f828,definition,
! [X0] :
( sQ117_spl
<=> ( sdtlseqdt0(X0,sK7_skl(xU,xU))
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f829,plain,
! [X0] :
( ~ sQ117_spl
| sdtlseqdt0(X0,sK7_skl(xU,xU))
| ~ aElementOf0(X0,xU) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( ~ sQ62_spl
| sQ117_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f822,f177,f168,f828,f473]) ).
fof(f832,plain,
( ~ sQ62_spl
| sQ63_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f823,f177,f168,f477,f473]) ).
fof(f833,plain,
( ~ sQ64_spl
| aUpperBoundOfIn0(sK5_skl(sK6_skl(xU,xU),xU,xU),xU,xU)
| aSupremumOfIn0(sK6_skl(xU,xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f486,f398]) ).
fof(f834,plain,
! [X0] :
( ~ sQ64_spl
| sdtlseqdt0(X0,sK6_skl(xU,xU))
| ~ aElementOf0(X0,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f486,f72]) ).
fof(f835,plain,
( ~ sQ64_spl
| aElementOf0(sK6_skl(xU,xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f486,f71]) ).
fof(f836,definition,
( sQ118_spl
<=> aSupremumOfIn0(sK6_skl(xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ118_spl
| aSupremumOfIn0(sK6_skl(xU,xU),xU,xU) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ119_spl
<=> aUpperBoundOfIn0(sK5_skl(sK6_skl(xU,xU),xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ64_spl
| sQ119_spl
| sQ118_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f833,f177,f168,f836,f839,f485]) ).
fof(f843,definition,
! [X0] :
( sQ120_spl
<=> ( sdtlseqdt0(X0,sK6_skl(xU,xU))
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f844,plain,
! [X0] :
( ~ sQ120_spl
| sdtlseqdt0(X0,sK6_skl(xU,xU))
| ~ aElementOf0(X0,xU) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( ~ sQ64_spl
| sQ120_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f834,f177,f168,f843,f485]) ).
fof(f847,plain,
( ~ sQ64_spl
| sQ59_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f835,f177,f168,f457,f485]) ).
fof(f848,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| sdtlseqdt0(sK6_skl(xU,xU),sK6_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f446,f450]) ).
fof(f849,plain,
( ~ sQ24_spl
| ~ sQ56_spl
| sdtlseqdt0(sK0_skl(xU),sK6_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f446,f276]) ).
fof(f850,plain,
( ~ sQ80_spl
| ~ sQ58_spl
| sK6_skl(xU,xU) = sK0_skl(xU) ),
inference(resolution,[status(thm)],[f454,f626]) ).
fof(f852,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ80_spl
| sK0_skl(xU) = X0
| ~ aInfimumOfIn0(X0,xU,xU) ),
inference(backward_demodulation,[status(thm)],[f850,f454]) ).
fof(f853,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(X0,sK0_skl(xU))
| ~ aLowerBoundOfIn0(X0,xU,xU) ),
inference(backward_demodulation,[status(thm)],[f850,f446]) ).
fof(f854,plain,
( ~ sQ64_spl
| ~ sQ80_spl
| ~ sQ58_spl
| aUpperBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(backward_demodulation,[status(thm)],[f850,f486]) ).
fof(f855,plain,
( ~ sQ57_spl
| ~ sQ80_spl
| ~ sQ58_spl
| aLowerBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(backward_demodulation,[status(thm)],[f850,f450]) ).
fof(f856,plain,
( ~ sQ85_spl
| ~ sQ80_spl
| ~ sQ58_spl
| aFixedPointOf0(sK0_skl(xU),xf) ),
inference(backward_demodulation,[status(thm)],[f850,f652]) ).
fof(f857,plain,
( ~ sQ67_spl
| ~ sQ80_spl
| ~ sQ58_spl
| aElement0(sK0_skl(xU)) ),
inference(backward_demodulation,[status(thm)],[f850,f498]) ).
fof(f858,plain,
( ~ sQ59_spl
| ~ sQ80_spl
| ~ sQ58_spl
| aElementOf0(sK0_skl(xU),xU) ),
inference(backward_demodulation,[status(thm)],[f850,f458]) ).
fof(f860,plain,
( ~ sQ75_spl
| aLowerBoundOfIn0(sK4_skl(sK7_skl(xU,xU),xU,xU),xU,xU)
| aInfimumOfIn0(sK7_skl(xU,xU),xU,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f596,f371]) ).
fof(f861,plain,
! [X0] :
( ~ sQ75_spl
| sdtlseqdt0(sK7_skl(xU,xU),X0)
| ~ aElementOf0(X0,xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f596,f64]) ).
fof(f862,plain,
( ~ sQ75_spl
| aElementOf0(sK7_skl(xU,xU),xU)
| ~ aSubsetOf0(xU,xU)
| ~ aSet0(xU) ),
inference(resolution,[status(thm)],[f596,f63]) ).
fof(f863,definition,
( sQ121_spl
<=> aInfimumOfIn0(sK7_skl(xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ121_spl
| aInfimumOfIn0(sK7_skl(xU,xU),xU,xU) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,definition,
( sQ122_spl
<=> aLowerBoundOfIn0(sK4_skl(sK7_skl(xU,xU),xU,xU),xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ75_spl
| sQ122_spl
| sQ121_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f860,f177,f168,f863,f866,f595]) ).
fof(f870,definition,
! [X0] :
( sQ123_spl
<=> ( sdtlseqdt0(sK7_skl(xU,xU),X0)
| ~ aElementOf0(X0,xU) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f871,plain,
! [X0] :
( ~ sQ123_spl
| sdtlseqdt0(sK7_skl(xU,xU),X0)
| ~ aElementOf0(X0,xU) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( ~ sQ75_spl
| sQ123_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f861,f177,f168,f870,f595]) ).
fof(f874,plain,
( ~ sQ75_spl
| sQ63_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f862,f177,f168,f477,f595]) ).
fof(f875,plain,
( ~ sQ63_spl
| ~ sQ82_spl
| sdtlseqdt0(sK0_skl(xU),sK7_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f633,f478]) ).
fof(f876,plain,
( ~ sQ1_spl
| ~ sQ82_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(resolution,[status(thm)],[f633,f149]) ).
fof(f881,plain,
( ~ sQ49_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(szDzozmdt0(xf))) ),
inference(forward_demodulation,[status(thm)],[f571,f408]) ).
fof(f882,plain,
( ~ sQ49_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f571,f881]) ).
fof(f883,plain,
( ~ sQ63_spl
| ~ sQ99_spl
| sdtlseqdt0(sK7_skl(xU,xU),sK0_skl(xU)) ),
inference(resolution,[status(thm)],[f716,f478]) ).
fof(f884,plain,
( ~ sQ1_spl
| ~ sQ99_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(resolution,[status(thm)],[f716,f149]) ).
fof(f885,plain,
( ~ sQ97_spl
| ~ sQ60_spl
| sK7_skl(xU,xU) = sK0_skl(xU) ),
inference(resolution,[status(thm)],[f466,f709]) ).
fof(f887,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ97_spl
| sK0_skl(xU) = X0
| ~ aSupremumOfIn0(X0,xU,xU) ),
inference(backward_demodulation,[status(thm)],[f885,f466]) ).
fof(f888,plain,
( ~ sQ75_spl
| ~ sQ97_spl
| ~ sQ60_spl
| aLowerBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(backward_demodulation,[status(thm)],[f885,f596]) ).
fof(f889,plain,
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ60_spl
| aUpperBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(backward_demodulation,[status(thm)],[f885,f474]) ).
fof(f890,plain,
( ~ sQ83_spl
| ~ sQ97_spl
| ~ sQ60_spl
| aFixedPointOf0(sK0_skl(xU),xf) ),
inference(backward_demodulation,[status(thm)],[f885,f645]) ).
fof(f891,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| ~ sQ60_spl
| aElement0(sK0_skl(xU)) ),
inference(backward_demodulation,[status(thm)],[f885,f604]) ).
fof(f892,plain,
( ~ sQ63_spl
| ~ sQ97_spl
| ~ sQ60_spl
| aElementOf0(sK0_skl(xU),xU) ),
inference(backward_demodulation,[status(thm)],[f885,f478]) ).
fof(f895,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlseqdt0(sK0_skl(xU),X0)
| ~ aUpperBoundOfIn0(X0,xU,xU) ),
inference(forward_demodulation,[status(thm)],[f885,f470]) ).
fof(f896,plain,
( ~ sQ68_spl
| ~ sQ61_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(resolution,[status(thm)],[f895,f506]) ).
fof(f897,plain,
( ~ sQ101_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ23_spl
| sdtlseqdt0(sdtlpdtrp0(xf,sK1_skl(xU,xU)),sdtlpdtrp0(xf,sK1_skl(xU,xU)))
| ~ aElementOf0(sK1_skl(xU,xU),xU)
| ~ aElementOf0(sK1_skl(xU,xU),xU) ),
inference(resolution,[status(thm)],[f573,f730]) ).
fof(f898,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(xU,xU),X0)
| ~ sdtlseqdt0(sK1_skl(xU,xU),X0)
| ~ aElement0(X0)
| ~ aElement0(sK1_skl(xU,xU))
| ~ aElement0(sK1_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f573,f58]) ).
fof(f899,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sK1_skl(xU,xU) = sK1_skl(xU,xU)
| ~ sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(xU,xU))
| ~ aElement0(sK1_skl(xU,xU))
| ~ aElement0(sK1_skl(xU,xU)) ),
inference(resolution,[status(thm)],[f573,f56]) ).
fof(f900,definition,
( sQ124_spl
<=> sdtlseqdt0(sdtlpdtrp0(xf,sK1_skl(xU,xU)),sdtlpdtrp0(xf,sK1_skl(xU,xU))) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ101_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ23_spl
| sQ124_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f897,f171,f900,f268,f529,f522,f724]) ).
fof(f904,definition,
! [X0] :
( sQ125_spl
<=> ( sdtlseqdt0(sK1_skl(xU,xU),X0)
| ~ sdtlseqdt0(sK1_skl(xU,xU),X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sQ125_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f898,f190,f904,f529,f522,f268]) ).
fof(f908,definition,
( sQ126_spl
<=> sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(xU,xU)) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f911,definition,
( sQ127_spl
<=> sK1_skl(xU,xU) = sK1_skl(xU,xU) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sQ127_spl
| ~ sQ126_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f899,f190,f908,f911,f529,f522,f268]) ).
fof(f915,plain,
( sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ aElement0(sK1_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f571,f270]) ).
fof(f916,plain,
( sQ31_spl
| ~ sQ72_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f169]) ).
fof(f917,plain,
( sQ31_spl
| ~ sQ72_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f916]) ).
fof(f918,plain,
( sQ12_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ aElementOf0(sK1_skl(xU,xU),szDzozmdt0(xf)) ),
inference(forward_demodulation,[status(thm)],[f571,f215]) ).
fof(f919,plain,
( sQ12_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ aElementOf0(sK1_skl(xU,xU),xU) ),
inference(forward_demodulation,[status(thm)],[f571,f918]) ).
fof(f920,plain,
( sQ32_spl
| ~ sQ72_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f560,f171,f529,f315]) ).
fof(f921,plain,
( ~ sQ23_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f566,f190,f529,f522,f268]) ).
fof(f922,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(szDzozmdt0(xf),xU)) ),
inference(forward_demodulation,[status(thm)],[f571,f290]) ).
fof(f923,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sdtlseqdt0(sK1_skl(xU,xU),sK1_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f571,f922]) ).
fof(f924,plain,
( ~ sQ50_spl
| ~ sQ72_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(szRzazndt0(xf))) ),
inference(forward_demodulation,[status(thm)],[f530,f516]) ).
fof(f925,plain,
( ~ sQ50_spl
| ~ sQ72_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f530,f924]) ).
fof(f927,plain,
( ~ sQ91_spl
| ~ sQ88_spl
| aUpperBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(forward_demodulation,[status(thm)],[f662,f679]) ).
fof(f928,plain,
( ~ sQ118_spl
| ~ sQ80_spl
| ~ sQ58_spl
| aSupremumOfIn0(sK0_skl(xU),xU,xU) ),
inference(forward_demodulation,[status(thm)],[f850,f837]) ).
fof(f929,plain,
( ~ sQ24_spl
| ~ sQ56_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f850,f849]) ).
fof(f930,plain,
( ~ sQ93_spl
| ~ sQ88_spl
| aLowerBoundOfIn0(sK0_skl(xU),xU,xU) ),
inference(forward_demodulation,[status(thm)],[f662,f686]) ).
fof(f931,plain,
( ~ sQ104_spl
| ~ sQ88_spl
| sdtlseqdt0(sK0_skl(xU),sdtlpdtrp0(xf,sK0_skl(xU))) ),
inference(forward_demodulation,[status(thm)],[f662,f743]) ).
fof(f932,plain,
( ~ sQ104_spl
| ~ sQ88_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f662,f931]) ).
fof(f933,plain,
( ~ sQ121_spl
| ~ sQ97_spl
| ~ sQ60_spl
| aInfimumOfIn0(sK0_skl(xU),xU,xU) ),
inference(forward_demodulation,[status(thm)],[f885,f864]) ).
fof(f934,plain,
( ~ sQ63_spl
| ~ sQ82_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f885,f875]) ).
fof(f935,plain,
( ~ sQ24_spl
| ~ sQ56_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(resolution,[status(thm)],[f853,f276]) ).
fof(f936,plain,
( ~ sQ63_spl
| ~ sQ78_spl
| ~ sQ72_spl
| ~ sQ97_spl
| ~ sQ60_spl
| aElementOf0(sdtlpdtrp0(xf,sK0_skl(xU)),xU) ),
inference(forward_demodulation,[status(thm)],[f885,f619]) ).
fof(f937,plain,
( ~ sQ63_spl
| ~ sQ78_spl
| ~ sQ72_spl
| ~ sQ97_spl
| ~ sQ60_spl
| ~ sQ88_spl
| aElementOf0(sK0_skl(xU),xU) ),
inference(forward_demodulation,[status(thm)],[f662,f936]) ).
fof(f938,plain,
( ~ sQ63_spl
| ~ sQ99_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f885,f883]) ).
fof(f939,plain,
( ~ sQ59_spl
| ~ sQ78_spl
| ~ sQ72_spl
| ~ sQ80_spl
| ~ sQ58_spl
| aElementOf0(sdtlpdtrp0(xf,sK0_skl(xU)),xU) ),
inference(forward_demodulation,[status(thm)],[f850,f620]) ).
fof(f940,plain,
( ~ sQ59_spl
| ~ sQ78_spl
| ~ sQ72_spl
| ~ sQ80_spl
| ~ sQ58_spl
| ~ sQ88_spl
| aElementOf0(sK0_skl(xU),xU) ),
inference(forward_demodulation,[status(thm)],[f662,f939]) ).
fof(f941,plain,
( ~ sQ67_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(sK0_skl(xU),sK6_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f850,f517]) ).
fof(f942,plain,
( ~ sQ67_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f850,f941]) ).
fof(f943,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlseqdt0(sK0_skl(xU),sK7_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f885,f618]) ).
fof(f944,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f885,f943]) ).
fof(f945,plain,
( ~ sQ84_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlpdtrp0(xf,sK0_skl(xU)) = sK7_skl(xU,xU) ),
inference(forward_demodulation,[status(thm)],[f885,f648]) ).
fof(f947,plain,
( ~ sQ86_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlpdtrp0(xf,sK0_skl(xU)) = sK6_skl(xU,xU) ),
inference(forward_demodulation,[status(thm)],[f850,f655]) ).
fof(f949,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(sK0_skl(xU),X0)
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[status(thm)],[f850,f816]) ).
fof(f950,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlseqdt0(X0,sK0_skl(xU))
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[status(thm)],[f885,f829]) ).
fof(f951,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(sK0_skl(xU),sK6_skl(xU,xU)) ),
inference(forward_demodulation,[status(thm)],[f850,f848]) ).
fof(f952,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(sK0_skl(xU),sK0_skl(xU)) ),
inference(forward_demodulation,[status(thm)],[f850,f951]) ).
fof(f953,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ80_spl
| ~ sQ58_spl
| sdtlseqdt0(X0,sK0_skl(xU))
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[status(thm)],[f850,f844]) ).
fof(f954,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ97_spl
| ~ sQ60_spl
| sdtlseqdt0(sK0_skl(xU),X0)
| ~ aElementOf0(X0,xU) ),
inference(forward_demodulation,[status(thm)],[f885,f871]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ14_spl
| sQ15_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| sQ29_spl
| sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| sQ35_spl
| sQ36_spl
| sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ43_spl
| sQ45_spl
| sQ47_spl
| sQ49_spl
| sQ50_spl
| sQ51_spl
| ~ sQ52_spl
| sQ54_spl
| sQ56_spl
| sQ57_spl
| sQ58_spl
| sQ59_spl
| sQ60_spl
| sQ61_spl
| sQ62_spl
| sQ63_spl
| sQ64_spl
| sQ67_spl
| sQ68_spl
| sQ70_spl
| sQ71_spl
| sQ72_spl
| sQ73_spl
| sQ75_spl
| sQ77_spl
| sQ78_spl
| sQ79_spl
| sQ80_spl
| sQ82_spl
| sQ83_spl
| sQ84_spl
| sQ85_spl
| sQ86_spl
| sQ87_spl
| sQ88_spl
| sQ89_spl
| sQ91_spl
| sQ93_spl
| sQ95_spl
| sQ96_spl
| sQ97_spl
| sQ99_spl
| sQ100_spl
| sQ101_spl
| sQ104_spl
| sQ105_spl
| sQ106_spl
| sQ107_spl
| sQ108_spl
| sQ109_spl
| sQ110_spl
| sQ112_spl
| sQ115_spl
| sQ117_spl
| sQ118_spl
| sQ120_spl
| sQ121_spl
| sQ123_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT385+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n008.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Sun Sep 20 23:58:32 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.46 % Drodi V4.1.1
% 0.17/5.50 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.17/5.50 % SZS output start Saturation for theBenchmark
% See solution above
% 0.22/5.54 % Elapsed time: 0.072439 seconds
% 0.22/5.54 % CPU time: 0.285203 seconds
% 0.22/5.54 % Total memory used: 105.754 MB
% 0.22/5.54 % Net memory used: 105.573 MB
%------------------------------------------------------------------------------