TSTP Solution File: NUM604+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM604+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:29:53 EDT 2023
% Result : Theorem 98.43s 12.77s
% Output : CNFRefutation 98.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 37
% Syntax : Number of formulae : 182 ( 50 unt; 5 def)
% Number of atoms : 535 ( 96 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 556 ( 203 ~; 210 |; 96 &)
% ( 27 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 14 con; 0-3 aty)
% Number of variables : 164 (; 151 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,definition,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& szszuzczcdt0(W0) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& W0 != slcrc0 )
=> ! [W1] :
( W1 = szmzizndt0(W0)
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,definition,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( W1 = slbdtrb0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(W0)) = W0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,definition,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aSubsetOf0(W1,szDzozmdt0(W0))
=> ! [W2] :
( W2 = sdtexdt0(W0,W1)
<=> ( aFunction0(W2)
& szDzozmdt0(W2) = W1
& ! [W3] :
( aElementOf0(W3,W1)
=> sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,hypothesis,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W1,W0)
=> aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,W0))
& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
& ! [W1] :
( ( aSet0(W1)
& aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,hypothesis,
! [W0] :
( aElementOf0(W0,xO)
=> ? [W1] :
( aElementOf0(W1,szNzAzT0)
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,hypothesis,
aElementOf0(xx,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,hypothesis,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xe,xi) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,conjecture,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
~ aElementOf0(xx,xS),
inference(negated_conjecture,[status(cth)],[f101]) ).
fof(f113,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ! [W1] : ~ aElementOf0(W1,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f114,plain,
! [W0] :
( ( W0 != slcrc0
| ( aSet0(W0)
& ! [W1] : ~ aElementOf0(W1,W0) ) )
& ( W0 = slcrc0
| ~ aSet0(W0)
| ? [W1] : aElementOf0(W1,W0) ) ),
inference(NNF_transformation,[status(esa)],[f113]) ).
fof(f115,plain,
( ! [W0] :
( W0 != slcrc0
| ( aSet0(W0)
& ! [W1] : ~ aElementOf0(W1,W0) ) )
& ! [W0] :
( W0 = slcrc0
| ~ aSet0(W0)
| ? [W1] : aElementOf0(W1,W0) ) ),
inference(miniscoping,[status(esa)],[f114]) ).
fof(f116,plain,
( ! [W0] :
( W0 != slcrc0
| ( aSet0(W0)
& ! [W1] : ~ aElementOf0(W1,W0) ) )
& ! [W0] :
( W0 = slcrc0
| ~ aSet0(W0)
| aElementOf0(sk0_0(W0),W0) ) ),
inference(skolemization,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0] :
( X0 != slcrc0
| aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f120,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f123,plain,
! [W0] :
( ~ aSet0(W0)
| ~ isCountable0(W0)
| ~ isFinite0(W0) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f124,plain,
! [X0] :
( ~ aSet0(X0)
| ~ isCountable0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f127,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| aElementOf0(W2,W0) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f128,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ( ~ aSubsetOf0(W1,W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| aElementOf0(W2,W0) ) ) )
& ( aSubsetOf0(W1,W0)
| ~ aSet0(W1)
| ? [W2] :
( aElementOf0(W2,W1)
& ~ aElementOf0(W2,W0) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f127]) ).
fof(f129,plain,
! [W0] :
( ~ aSet0(W0)
| ( ! [W1] :
( ~ aSubsetOf0(W1,W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| aElementOf0(W2,W0) ) ) )
& ! [W1] :
( aSubsetOf0(W1,W0)
| ~ aSet0(W1)
| ? [W2] :
( aElementOf0(W2,W1)
& ~ aElementOf0(W2,W0) ) ) ) ),
inference(miniscoping,[status(esa)],[f128]) ).
fof(f130,plain,
! [W0] :
( ~ aSet0(W0)
| ( ! [W1] :
( ~ aSubsetOf0(W1,W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| aElementOf0(W2,W0) ) ) )
& ! [W1] :
( aSubsetOf0(W1,W0)
| ~ aSet0(W1)
| ( aElementOf0(sk0_1(W1,W0),W1)
& ~ aElementOf0(sk0_1(W1,W0),W0) ) ) ) ),
inference(skolemization,[status(esa)],[f129]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f182,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& szszuzczcdt0(W0) != sz00 ) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f183,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f205,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| sdtlseqdt0(W0,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f206,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f205]) ).
fof(f237,plain,
! [W0] :
( ~ aSubsetOf0(W0,szNzAzT0)
| W0 = slcrc0
| ! [W1] :
( W1 = szmzizndt0(W0)
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( ~ aElementOf0(W2,W0)
| sdtlseqdt0(W1,W2) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f47]) ).
fof(f238,plain,
! [W0] :
( ~ aSubsetOf0(W0,szNzAzT0)
| W0 = slcrc0
| ! [W1] :
( ( W1 != szmzizndt0(W0)
| ( aElementOf0(W1,W0)
& ! [W2] :
( ~ aElementOf0(W2,W0)
| sdtlseqdt0(W1,W2) ) ) )
& ( W1 = szmzizndt0(W0)
| ~ aElementOf0(W1,W0)
| ? [W2] :
( aElementOf0(W2,W0)
& ~ sdtlseqdt0(W1,W2) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f237]) ).
fof(f239,plain,
! [W0] :
( ~ aSubsetOf0(W0,szNzAzT0)
| W0 = slcrc0
| ( ! [W1] :
( W1 != szmzizndt0(W0)
| ( aElementOf0(W1,W0)
& ! [W2] :
( ~ aElementOf0(W2,W0)
| sdtlseqdt0(W1,W2) ) ) )
& ! [W1] :
( W1 = szmzizndt0(W0)
| ~ aElementOf0(W1,W0)
| ? [W2] :
( aElementOf0(W2,W0)
& ~ sdtlseqdt0(W1,W2) ) ) ) ),
inference(miniscoping,[status(esa)],[f238]) ).
fof(f240,plain,
! [W0] :
( ~ aSubsetOf0(W0,szNzAzT0)
| W0 = slcrc0
| ( ! [W1] :
( W1 != szmzizndt0(W0)
| ( aElementOf0(W1,W0)
& ! [W2] :
( ~ aElementOf0(W2,W0)
| sdtlseqdt0(W1,W2) ) ) )
& ! [W1] :
( W1 = szmzizndt0(W0)
| ~ aElementOf0(W1,W0)
| ( aElementOf0(sk0_6(W1,W0),W0)
& ~ sdtlseqdt0(W1,sk0_6(W1,W0)) ) ) ) ),
inference(skolemization,[status(esa)],[f239]) ).
fof(f241,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| X1 != szmzizndt0(X0)
| aElementOf0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f255,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ! [W1] :
( W1 = slbdtrb0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f50]) ).
fof(f256,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ! [W1] :
( ( W1 != slbdtrb0(W0)
| ( aSet0(W1)
& ! [W2] :
( ( ~ aElementOf0(W2,W1)
| ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) )
& ( aElementOf0(W2,W1)
| ~ aElementOf0(W2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) )
& ( W1 = slbdtrb0(W0)
| ~ aSet0(W1)
| ? [W2] :
( ( ~ aElementOf0(W2,W1)
| ~ aElementOf0(W2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W2),W0) )
& ( aElementOf0(W2,W1)
| ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f255]) ).
fof(f257,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( ! [W1] :
( W1 != slbdtrb0(W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) )
& ! [W2] :
( aElementOf0(W2,W1)
| ~ aElementOf0(W2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )
& ! [W1] :
( W1 = slbdtrb0(W0)
| ~ aSet0(W1)
| ? [W2] :
( ( ~ aElementOf0(W2,W1)
| ~ aElementOf0(W2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W2),W0) )
& ( aElementOf0(W2,W1)
| ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f256]) ).
fof(f258,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( ! [W1] :
( W1 != slbdtrb0(W0)
| ( aSet0(W1)
& ! [W2] :
( ~ aElementOf0(W2,W1)
| ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) )
& ! [W2] :
( aElementOf0(W2,W1)
| ~ aElementOf0(W2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )
& ! [W1] :
( W1 = slbdtrb0(W0)
| ~ aSet0(W1)
| ( ( ~ aElementOf0(sk0_8(W1,W0),W1)
| ~ aElementOf0(sk0_8(W1,W0),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0) )
& ( aElementOf0(sk0_8(W1,W0),W1)
| ( aElementOf0(sk0_8(W1,W0),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0) ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f257]) ).
fof(f259,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| X1 != slbdtrb0(X0)
| aSet0(X1) ),
inference(cnf_transformation,[status(esa)],[f258]) ).
fof(f282,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| sbrdtbr0(slbdtrb0(W0)) = W0 ),
inference(pre_NNF_transformation,[status(esa)],[f56]) ).
fof(f283,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[status(esa)],[f282]) ).
fof(f311,plain,
! [W0] :
( ~ aFunction0(W0)
| aSet0(szDzozmdt0(W0)) ),
inference(pre_NNF_transformation,[status(esa)],[f64]) ).
fof(f312,plain,
! [X0] :
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(cnf_transformation,[status(esa)],[f311]) ).
fof(f341,plain,
! [W0] :
( ~ aFunction0(W0)
| ! [W1] :
( ~ aSubsetOf0(W1,szDzozmdt0(W0))
| ! [W2] :
( W2 = sdtexdt0(W0,W1)
<=> ( aFunction0(W2)
& szDzozmdt0(W2) = W1
& ! [W3] :
( ~ aElementOf0(W3,W1)
| sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f70]) ).
fof(f342,plain,
! [W0] :
( ~ aFunction0(W0)
| ! [W1] :
( ~ aSubsetOf0(W1,szDzozmdt0(W0))
| ! [W2] :
( ( W2 != sdtexdt0(W0,W1)
| ( aFunction0(W2)
& szDzozmdt0(W2) = W1
& ! [W3] :
( ~ aElementOf0(W3,W1)
| sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) )
& ( W2 = sdtexdt0(W0,W1)
| ~ aFunction0(W2)
| szDzozmdt0(W2) != W1
| ? [W3] :
( aElementOf0(W3,W1)
& sdtlpdtrp0(W2,W3) != sdtlpdtrp0(W0,W3) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f341]) ).
fof(f343,plain,
! [W0] :
( ~ aFunction0(W0)
| ! [W1] :
( ~ aSubsetOf0(W1,szDzozmdt0(W0))
| ( ! [W2] :
( W2 != sdtexdt0(W0,W1)
| ( aFunction0(W2)
& szDzozmdt0(W2) = W1
& ! [W3] :
( ~ aElementOf0(W3,W1)
| sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) )
& ! [W2] :
( W2 = sdtexdt0(W0,W1)
| ~ aFunction0(W2)
| szDzozmdt0(W2) != W1
| ? [W3] :
( aElementOf0(W3,W1)
& sdtlpdtrp0(W2,W3) != sdtlpdtrp0(W0,W3) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f342]) ).
fof(f344,plain,
! [W0] :
( ~ aFunction0(W0)
| ! [W1] :
( ~ aSubsetOf0(W1,szDzozmdt0(W0))
| ( ! [W2] :
( W2 != sdtexdt0(W0,W1)
| ( aFunction0(W2)
& szDzozmdt0(W2) = W1
& ! [W3] :
( ~ aElementOf0(W3,W1)
| sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) )
& ! [W2] :
( W2 = sdtexdt0(W0,W1)
| ~ aFunction0(W2)
| szDzozmdt0(W2) != W1
| ( aElementOf0(sk0_16(W2,W1,W0),W1)
& sdtlpdtrp0(W2,sk0_16(W2,W1,W0)) != sdtlpdtrp0(W0,sk0_16(W2,W1,W0)) ) ) ) ) ),
inference(skolemization,[status(esa)],[f343]) ).
fof(f345,plain,
! [X0,X1,X2] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| X2 != sdtexdt0(X0,X1)
| aFunction0(X2) ),
inference(cnf_transformation,[status(esa)],[f344]) ).
fof(f346,plain,
! [X0,X1,X2] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| X2 != sdtexdt0(X0,X1)
| szDzozmdt0(X2) = X1 ),
inference(cnf_transformation,[status(esa)],[f344]) ).
fof(f361,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f362,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f383,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f82]) ).
fof(f384,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f385,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f386,plain,
! [W0,W1] :
( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W1,szNzAzT0)
| ~ sdtlseqdt0(W1,W0)
| aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f83]) ).
fof(f387,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f392,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( aFunction0(sdtlpdtrp0(xC,W0))
& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
& ! [W1] :
( ~ aSet0(W1)
| ~ aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f86]) ).
fof(f393,plain,
aFunction0(xC),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f394,plain,
szDzozmdt0(xC) = szNzAzT0,
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f412,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f91]) ).
fof(f415,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[status(esa)],[f412]) ).
fof(f427,plain,
! [W0] :
( ~ aElementOf0(W0,xO)
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f97]) ).
fof(f428,plain,
! [W0] :
( ~ aElementOf0(W0,xO)
| ( aElementOf0(sk0_24(W0),szNzAzT0)
& aElementOf0(sk0_24(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,sk0_24(W0)) = W0 ) ),
inference(skolemization,[status(esa)],[f427]) ).
fof(f429,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(sk0_24(X0),szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f432,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f433,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f434,plain,
sdtlpdtrp0(xe,xi) = xx,
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f435,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f436,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f443,plain,
aSet0(slcrc0),
inference(destructive_equality_resolution,[status(esa)],[f117]) ).
fof(f456,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| aElementOf0(szmzizndt0(X0),X0) ),
inference(destructive_equality_resolution,[status(esa)],[f241]) ).
fof(f460,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f259]) ).
fof(f478,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aFunction0(sdtexdt0(X0,X1)) ),
inference(destructive_equality_resolution,[status(esa)],[f345]) ).
fof(f479,plain,
! [X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| szDzozmdt0(sdtexdt0(X0,X1)) = X1 ),
inference(destructive_equality_resolution,[status(esa)],[f346]) ).
fof(f513,plain,
( spl0_5
<=> aSet0(slcrc0) ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( ~ aSet0(slcrc0)
| spl0_5 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( spl0_6
<=> isCountable0(slcrc0) ),
introduced(split_symbol_definition) ).
fof(f519,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(resolution,[status(thm)],[f124,f120]) ).
fof(f520,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f519,f513,f516]) ).
fof(f521,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f443]) ).
fof(f522,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f543,plain,
( spl0_11
<=> aSet0(xS) ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( aSet0(xS)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f831,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[f387,f206]) ).
fof(f832,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f831]) ).
fof(f1024,plain,
( spl0_76
<=> sdtlpdtrp0(xN,xi) = slcrc0 ),
introduced(split_symbol_definition) ).
fof(f1025,plain,
( sdtlpdtrp0(xN,xi) = slcrc0
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1186,plain,
sdtlpdtrp0(xe,xi) = szmzizndt0(sdtlpdtrp0(xN,xi)),
inference(resolution,[status(thm)],[f433,f415]) ).
fof(f1187,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xi)),
inference(forward_demodulation,[status(thm)],[f434,f1186]) ).
fof(f1196,plain,
( spl0_97
<=> aElementOf0(xi,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f1198,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl0_97 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1203,plain,
( $false
| spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1198,f433]) ).
fof(f1204,plain,
spl0_97,
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f2644,plain,
aElementOf0(sk0_24(xx),szNzAzT0),
inference(resolution,[status(thm)],[f429,f432]) ).
fof(f3045,plain,
aElementOf0(szszuzczcdt0(sk0_24(xx)),szNzAzT0),
inference(resolution,[status(thm)],[f2644,f183]) ).
fof(f3105,plain,
aElementOf0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))),szNzAzT0),
inference(resolution,[status(thm)],[f3045,f183]) ).
fof(f3265,plain,
aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))),szNzAzT0),
inference(resolution,[status(thm)],[f3105,f183]) ).
fof(f3266,plain,
sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))) = szszuzczcdt0(szszuzczcdt0(sk0_24(xx))),
inference(resolution,[status(thm)],[f3105,f283]) ).
fof(f3293,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))),sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))),
inference(resolution,[status(thm)],[f3105,f832]) ).
fof(f3333,plain,
aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))),szNzAzT0),
inference(resolution,[status(thm)],[f3265,f183]) ).
fof(f3334,plain,
sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))))) = szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))),
inference(resolution,[status(thm)],[f3265,f283]) ).
fof(f3413,plain,
aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))))),szNzAzT0),
inference(resolution,[status(thm)],[f3333,f183]) ).
fof(f3414,plain,
sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))))) = szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))),
inference(resolution,[status(thm)],[f3333,f283]) ).
fof(f3415,plain,
aSet0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))))),
inference(resolution,[status(thm)],[f3333,f460]) ).
fof(f3960,plain,
aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))))),szNzAzT0),
inference(resolution,[status(thm)],[f3413,f183]) ).
fof(f6222,plain,
aElementOf0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))),szNzAzT0),
inference(resolution,[status(thm)],[f3045,f183]) ).
fof(f6418,plain,
( spl0_851
<=> aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f6420,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0)
| spl0_851 ),
inference(component_clause,[status(thm)],[f6418]) ).
fof(f6724,plain,
( ~ aElementOf0(xi,szNzAzT0)
| isCountable0(slcrc0)
| ~ spl0_76 ),
inference(paramodulation,[status(thm)],[f1025,f385]) ).
fof(f6725,plain,
( ~ spl0_97
| spl0_6
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f6724,f1196,f516,f1024]) ).
fof(f8122,plain,
sbrdtbr0(slbdtrb0(szszuzczcdt0(sk0_24(xx)))) = szszuzczcdt0(sk0_24(xx)),
inference(resolution,[status(thm)],[f3045,f283]) ).
fof(f8171,plain,
aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))),szNzAzT0),
inference(resolution,[status(thm)],[f6222,f183]) ).
fof(f11519,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f132,f544]) ).
fof(f11591,plain,
! [X0] :
( ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(xx,X0)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f11519,f436]) ).
fof(f11600,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,xi))
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f11591,f435]) ).
fof(f15365,plain,
! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xC))
| aFunction0(sdtexdt0(xC,X0)) ),
inference(resolution,[status(thm)],[f478,f393]) ).
fof(f15366,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| aFunction0(sdtexdt0(xC,X0)) ),
inference(forward_demodulation,[status(thm)],[f394,f15365]) ).
fof(f15375,plain,
! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xC))
| szDzozmdt0(sdtexdt0(xC,X0)) = X0 ),
inference(resolution,[status(thm)],[f479,f393]) ).
fof(f15376,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| szDzozmdt0(sdtexdt0(xC,X0)) = X0 ),
inference(forward_demodulation,[status(thm)],[f394,f15375]) ).
fof(f19156,plain,
aFunction0(sdtexdt0(xC,xS)),
inference(resolution,[status(thm)],[f15366,f362]) ).
fof(f19311,plain,
( spl0_2271
<=> aFunction0(sdtexdt0(xC,xS)) ),
introduced(split_symbol_definition) ).
fof(f19313,plain,
( ~ aFunction0(sdtexdt0(xC,xS))
| spl0_2271 ),
inference(component_clause,[status(thm)],[f19311]) ).
fof(f19329,plain,
( $false
| spl0_2271 ),
inference(forward_subsumption_resolution,[status(thm)],[f19313,f19156]) ).
fof(f19330,plain,
spl0_2271,
inference(contradiction_clause,[status(thm)],[f19329]) ).
fof(f19452,plain,
( spl0_2300
<=> aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))))),szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f19454,plain,
( ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))))),szNzAzT0)
| spl0_2300 ),
inference(component_clause,[status(thm)],[f19452]) ).
fof(f19457,plain,
( $false
| spl0_2300 ),
inference(forward_subsumption_resolution,[status(thm)],[f19454,f3960]) ).
fof(f19458,plain,
spl0_2300,
inference(contradiction_clause,[status(thm)],[f19457]) ).
fof(f20007,plain,
( spl0_2377
<=> aSet0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))))) ),
introduced(split_symbol_definition) ).
fof(f20009,plain,
( ~ aSet0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))))))
| spl0_2377 ),
inference(component_clause,[status(thm)],[f20007]) ).
fof(f20012,plain,
( $false
| spl0_2377 ),
inference(forward_subsumption_resolution,[status(thm)],[f20009,f3415]) ).
fof(f20013,plain,
spl0_2377,
inference(contradiction_clause,[status(thm)],[f20012]) ).
fof(f20077,plain,
( spl0_2383
<=> aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))),sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))) ),
introduced(split_symbol_definition) ).
fof(f20079,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))),sdtlpdtrp0(xN,szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))))
| spl0_2383 ),
inference(component_clause,[status(thm)],[f20077]) ).
fof(f20120,plain,
( $false
| spl0_2383 ),
inference(forward_subsumption_resolution,[status(thm)],[f20079,f3293]) ).
fof(f20121,plain,
spl0_2383,
inference(contradiction_clause,[status(thm)],[f20120]) ).
fof(f20323,plain,
szDzozmdt0(sdtexdt0(xC,xS)) = xS,
inference(resolution,[status(thm)],[f15376,f362]) ).
fof(f20369,plain,
( ~ aFunction0(sdtexdt0(xC,xS))
| aSet0(xS) ),
inference(paramodulation,[status(thm)],[f20323,f312]) ).
fof(f20370,plain,
( ~ spl0_2271
| spl0_11 ),
inference(split_clause,[status(thm)],[f20369,f19311,f543]) ).
fof(f20446,plain,
( spl0_2440
<=> aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))))),szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f20448,plain,
( ~ aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))))),szNzAzT0)
| spl0_2440 ),
inference(component_clause,[status(thm)],[f20446]) ).
fof(f20454,plain,
( spl0_2442
<=> aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))))),szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f20456,plain,
( ~ aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))))),szNzAzT0)
| spl0_2442 ),
inference(component_clause,[status(thm)],[f20454]) ).
fof(f20462,plain,
( spl0_2444
<=> aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))),szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f20464,plain,
( ~ aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))),szNzAzT0)
| spl0_2444 ),
inference(component_clause,[status(thm)],[f20462]) ).
fof(f20475,plain,
( spl0_2447
<=> aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sk0_24(xx)))),szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f20477,plain,
( ~ aElementOf0(sbrdtbr0(slbdtrb0(szszuzczcdt0(sk0_24(xx)))),szNzAzT0)
| spl0_2447 ),
inference(component_clause,[status(thm)],[f20475]) ).
fof(f20493,plain,
( ~ aElementOf0(szszuzczcdt0(sk0_24(xx)),szNzAzT0)
| spl0_2447 ),
inference(forward_demodulation,[status(thm)],[f8122,f20477]) ).
fof(f20494,plain,
( $false
| spl0_2447 ),
inference(forward_subsumption_resolution,[status(thm)],[f20493,f3045]) ).
fof(f20495,plain,
spl0_2447,
inference(contradiction_clause,[status(thm)],[f20494]) ).
fof(f20496,plain,
( ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))),szNzAzT0)
| spl0_2444 ),
inference(forward_demodulation,[status(thm)],[f3266,f20464]) ).
fof(f20497,plain,
( $false
| spl0_2444 ),
inference(forward_subsumption_resolution,[status(thm)],[f20496,f6222]) ).
fof(f20498,plain,
spl0_2444,
inference(contradiction_clause,[status(thm)],[f20497]) ).
fof(f20499,plain,
( ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx)))),szNzAzT0)
| spl0_2442 ),
inference(forward_demodulation,[status(thm)],[f3334,f20456]) ).
fof(f20500,plain,
( $false
| spl0_2442 ),
inference(forward_subsumption_resolution,[status(thm)],[f20499,f8171]) ).
fof(f20501,plain,
spl0_2442,
inference(contradiction_clause,[status(thm)],[f20500]) ).
fof(f20502,plain,
( ~ aElementOf0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sk0_24(xx))))),szNzAzT0)
| spl0_2440 ),
inference(forward_demodulation,[status(thm)],[f3414,f20448]) ).
fof(f20503,plain,
( $false
| spl0_2440 ),
inference(forward_subsumption_resolution,[status(thm)],[f20502,f3333]) ).
fof(f20504,plain,
spl0_2440,
inference(contradiction_clause,[status(thm)],[f20503]) ).
fof(f21617,plain,
aSubsetOf0(sdtlpdtrp0(xN,xK),szNzAzT0),
inference(resolution,[status(thm)],[f361,f384]) ).
fof(f21986,plain,
( $false
| spl0_851 ),
inference(forward_subsumption_resolution,[status(thm)],[f6420,f21617]) ).
fof(f21987,plain,
spl0_851,
inference(contradiction_clause,[status(thm)],[f21986]) ).
fof(f22137,plain,
( spl0_2571
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
introduced(split_symbol_definition) ).
fof(f22138,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ spl0_2571 ),
inference(component_clause,[status(thm)],[f22137]) ).
fof(f22149,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xi))
| ~ spl0_2571 ),
inference(forward_demodulation,[status(thm)],[f1187,f22138]) ).
fof(f22150,plain,
( $false
| ~ spl0_11
| ~ spl0_2571 ),
inference(forward_subsumption_resolution,[status(thm)],[f22149,f11600]) ).
fof(f22151,plain,
( ~ spl0_11
| ~ spl0_2571 ),
inference(contradiction_clause,[status(thm)],[f22150]) ).
fof(f22467,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(resolution,[status(thm)],[f433,f384]) ).
fof(f22513,plain,
( sdtlpdtrp0(xN,xi) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[f22467,f456]) ).
fof(f22514,plain,
( spl0_76
| spl0_2571 ),
inference(split_clause,[status(thm)],[f22513,f1024,f22137]) ).
fof(f22519,plain,
$false,
inference(sat_refutation,[status(thm)],[f520,f522,f1204,f6725,f19330,f19458,f20013,f20121,f20370,f20495,f20498,f20501,f20504,f21987,f22151,f22514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM604+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:54:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 98.43/12.77 % Refutation found
% 98.43/12.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 98.43/12.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 99.07/12.85 % Elapsed time: 12.507195 seconds
% 99.07/12.85 % CPU time: 99.278313 seconds
% 99.07/12.85 % Memory used: 354.575 MB
%------------------------------------------------------------------------------