TSTP Solution File: NUM577+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM577+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 : Fri May 3 02:50:01 EDT 2024
% Result : Theorem 240.19s 32.26s
% Output : CNFRefutation 240.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 167 ( 19 unt; 0 def)
% Number of atoms : 653 ( 109 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 834 ( 348 ~; 337 |; 113 &)
% ( 14 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 257 ( 5 sgn 155 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f86,axiom,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3904) ).
fof(f87,conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f88,negated_conjecture,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ),
inference(negated_conjecture,[],[f87]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f98,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f99,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f98]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f108,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f109,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f108]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f113,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f112]) ).
fof(f125,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f136,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f155]) ).
fof(f197,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f198,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f197]) ).
fof(f199,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f200,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f200]) ).
fof(f204,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(ennf_transformation,[],[f88]) ).
fof(f208,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f209,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> sP2(X1,X0,X2) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f210,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f113,f209,f208]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f216]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f217]) ).
fof(f219,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f218,f219]) ).
fof(f227,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f209]) ).
fof(f228,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f208]) ).
fof(f229,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f228]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f229]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK7(X0,X1,X2) = X0
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sK7(X0,X1,X2) != X0
& aElementOf0(sK7(X0,X1,X2),X1)
& aElement0(sK7(X0,X1,X2)) )
| aElementOf0(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( sK7(X0,X1,X2) = X0
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( sK7(X0,X1,X2) != X0
& aElementOf0(sK7(X0,X1,X2),X1)
& aElement0(sK7(X0,X1,X2)) )
| aElementOf0(sK7(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f230,f231]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f156]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f241]) ).
fof(f243,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f242,f243]) ).
fof(f289,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f293,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f296,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f297,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f303,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f316,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f318,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f232]) ).
fof(f321,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f232]) ).
fof(f327,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f334,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f337,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f348,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f363,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f451,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f453,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f454,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f455,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f459,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f460,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f86]) ).
fof(f461,plain,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(cnf_transformation,[],[f204]) ).
fof(f462,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(cnf_transformation,[],[f204]) ).
fof(f468,plain,
! [X0,X1] :
( sP2(X1,X0,sdtmndt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f316]) ).
fof(f469,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP2(X4,X1,X2) ),
inference(equality_resolution,[],[f321]) ).
fof(f472,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f363]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_53,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f293]) ).
cnf(c_54,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_63,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_77,plain,
( ~ sP3(X0,X1)
| sP2(X1,X0,sdtmndt0(X0,X1)) ),
inference(cnf_transformation,[],[f468]) ).
cnf(c_83,plain,
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f469]) ).
cnf(c_86,plain,
( ~ sP2(X0,X1,X2)
| aSet0(X2) ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_87,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f334]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f337]) ).
cnf(c_108,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_126,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| X0 = slcrc0
| aElementOf0(szmzizndt0(X0),X0) ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_209,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[],[f451]) ).
cnf(c_213,plain,
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f454]) ).
cnf(c_214,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f453]) ).
cnf(c_215,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f455]) ).
cnf(c_219,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f460]) ).
cnf(c_220,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f459]) ).
cnf(c_221,negated_conjecture,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_222,negated_conjecture,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(cnf_transformation,[],[f461]) ).
cnf(c_354,plain,
( ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_59,c_63]) ).
cnf(c_355,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(renaming,[status(thm)],[c_354]) ).
cnf(c_356,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_209,c_213,c_214,c_209]) ).
cnf(c_1643,plain,
( X0 != X1
| X2 != X3
| ~ aElement0(X0)
| ~ aSet0(X2)
| sP2(X1,X3,sdtmndt0(X3,X1)) ),
inference(resolution_lifted,[status(thm)],[c_87,c_77]) ).
cnf(c_1644,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sP2(X0,X1,sdtmndt0(X1,X0)) ),
inference(unflattening,[status(thm)],[c_1643]) ).
cnf(c_12461,plain,
X0 = X0,
theory(equality) ).
cnf(c_12463,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_12465,plain,
( X0 != X1
| X2 != X3
| ~ aElementOf0(X1,X3)
| aElementOf0(X0,X2) ),
theory(equality) ).
cnf(c_12467,plain,
( X0 != X1
| ~ isFinite0(X1)
| isFinite0(X0) ),
theory(equality) ).
cnf(c_15159,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0)) ),
inference(superposition,[status(thm)],[c_214,c_59]) ).
cnf(c_15207,plain,
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X1)) ),
inference(superposition,[status(thm)],[c_215,c_59]) ).
cnf(c_15218,plain,
( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0)
| ~ aSet0(sdtlpdtrp0(xN,xm))
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_355]) ).
cnf(c_15247,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_15251,plain,
sdtlpdtrp0(xN,xm) = sdtlpdtrp0(xN,xm),
inference(instantiation,[status(thm)],[c_12461]) ).
cnf(c_15298,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_15207,c_95,c_15159,c_15207]) ).
cnf(c_15305,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_222,c_15298]) ).
cnf(c_15323,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_15305,c_219,c_15305]) ).
cnf(c_15325,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_98,c_15323]) ).
cnf(c_15821,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
| X1 != X0
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X1 ),
inference(instantiation,[status(thm)],[c_12463]) ).
cnf(c_16568,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(instantiation,[status(thm)],[c_12461]) ).
cnf(c_17073,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xn))
| X0 != szmzizndt0(sdtlpdtrp0(xN,xn))
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X0 ),
inference(instantiation,[status(thm)],[c_15821]) ).
cnf(c_19315,plain,
sdtlseqdt0(xm,xm),
inference(superposition,[status(thm)],[c_219,c_108]) ).
cnf(c_19316,plain,
sdtlseqdt0(xn,xn),
inference(superposition,[status(thm)],[c_220,c_108]) ).
cnf(c_19402,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_19405,plain,
( ~ aElementOf0(xm,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[c_213]) ).
cnf(c_19406,plain,
( ~ aElementOf0(xn,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,xn)) ),
inference(instantiation,[status(thm)],[c_213]) ).
cnf(c_19411,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_214]) ).
cnf(c_19412,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_214]) ).
cnf(c_19456,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_356]) ).
cnf(c_19471,plain,
( X0 != slcrc0
| ~ isFinite0(slcrc0)
| isFinite0(X0) ),
inference(instantiation,[status(thm)],[c_12467]) ).
cnf(c_19525,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_19540,plain,
( ~ aSet0(sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X1)) ),
inference(superposition,[status(thm)],[c_215,c_59]) ).
cnf(c_19618,plain,
( ~ sP2(X0,X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_19844,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_19540,c_95,c_15159,c_15207]) ).
cnf(c_19858,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_19315,c_19844]) ).
cnf(c_19859,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,xn)) ),
inference(superposition,[status(thm)],[c_19316,c_19844]) ).
cnf(c_19907,plain,
aSet0(sdtlpdtrp0(xN,xm)),
inference(global_subsumption_just,[status(thm)],[c_19858,c_220,c_15325]) ).
cnf(c_19910,plain,
( ~ isFinite0(sdtlpdtrp0(xN,xm))
| ~ isCountable0(sdtlpdtrp0(xN,xm)) ),
inference(superposition,[status(thm)],[c_19907,c_54]) ).
cnf(c_19911,plain,
aSet0(sdtlpdtrp0(xN,xn)),
inference(global_subsumption_just,[status(thm)],[c_19859,c_220,c_19859]) ).
cnf(c_19914,plain,
( ~ isFinite0(sdtlpdtrp0(xN,xn))
| ~ isCountable0(sdtlpdtrp0(xN,xn)) ),
inference(superposition,[status(thm)],[c_19911,c_54]) ).
cnf(c_20367,plain,
( ~ aElementOf0(szmzizndt0(X0),X0)
| ~ aSet0(X0)
| aElement0(szmzizndt0(X0)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_20814,plain,
( sdtlpdtrp0(xN,xm) != slcrc0
| ~ isFinite0(slcrc0)
| isFinite0(sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[c_19471]) ).
cnf(c_22339,plain,
( ~ aElement0(szmzizndt0(X0))
| ~ aSet0(X1)
| sP2(szmzizndt0(X0),X1,sdtmndt0(X1,szmzizndt0(X0))) ),
inference(instantiation,[status(thm)],[c_1644]) ).
cnf(c_31791,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xn)))
| ~ aSet0(sdtlpdtrp0(xN,xn))
| sP2(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_22339]) ).
cnf(c_31792,plain,
( ~ sP2(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_19618]) ).
cnf(c_33716,plain,
( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn))
| aElement0(szmzizndt0(sdtlpdtrp0(xN,xn))) ),
inference(instantiation,[status(thm)],[c_20367]) ).
cnf(c_44970,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| sdtlpdtrp0(xN,xn) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_60765,plain,
( sdtlpdtrp0(xN,xn) != slcrc0
| ~ isFinite0(slcrc0)
| isFinite0(sdtlpdtrp0(xN,xn)) ),
inference(instantiation,[status(thm)],[c_19471]) ).
cnf(c_343352,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
| X2 != X1
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X2 ),
inference(instantiation,[status(thm)],[c_12463]) ).
cnf(c_361484,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
| sdtlpdtrp0(xN,xm) != X1
| ~ aElementOf0(X0,X1)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[c_12465]) ).
cnf(c_361646,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xn))
| X1 != szmzizndt0(sdtlpdtrp0(xN,xn))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X1 ),
inference(instantiation,[status(thm)],[c_343352]) ).
cnf(c_373919,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
| sdtlpdtrp0(xN,xm) != sdtlpdtrp0(xN,xm)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[c_361484]) ).
cnf(c_373952,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xn))
| X0 != szmzizndt0(sdtlpdtrp0(xN,xn))
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X0 ),
inference(instantiation,[status(thm)],[c_361646]) ).
cnf(c_386459,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_373919,c_15251,c_373919]) ).
cnf(c_386470,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[c_386459]) ).
cnf(c_386472,plain,
( X0 != szmzizndt0(sdtlpdtrp0(xN,xn))
| szmzizndt0(sdtlpdtrp0(xN,xn)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_373952,c_16568,c_17073]) ).
cnf(c_386482,plain,
( szmzizndt0(sdtlpdtrp0(xN,xm)) != szmzizndt0(sdtlpdtrp0(xN,xn))
| szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[c_386472]) ).
cnf(c_408098,plain,
( szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_386470,c_53,c_219,c_15247,c_19405,c_19411,c_19910,c_20814,c_386470]) ).
cnf(c_438848,plain,
( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0)
| ~ aSet0(sdtlpdtrp0(xN,xm))
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_355]) ).
cnf(c_438861,plain,
( ~ sP2(X0,X1,sdtmndt0(X1,X0))
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_438876,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0)
| ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(global_subsumption_just,[status(thm)],[c_438848,c_53,c_220,c_15218,c_15325,c_19406,c_19412,c_19859,c_19914,c_31791,c_31792,c_33716,c_44970,c_60765]) ).
cnf(c_438877,plain,
( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(renaming,[status(thm)],[c_438876]) ).
cnf(c_438884,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_438877]) ).
cnf(c_438990,plain,
( ~ aSubsetOf0(X0,sdtmndt0(X1,X2))
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aElementOf0(X2,X0)
| aElementOf0(X2,sdtmndt0(X1,X2)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_439404,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_438990]) ).
cnf(c_439462,plain,
( ~ sP2(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(instantiation,[status(thm)],[c_438861]) ).
cnf(c_439463,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_439462,c_439404,c_438884,c_408098,c_386482,c_60765,c_44970,c_33716,c_31792,c_31791,c_19914,c_19859,c_19525,c_19456,c_19412,c_19406,c_19402,c_221,c_222,c_219,c_220,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM577+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:19:15 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 240.19/32.26 % SZS status Started for theBenchmark.p
% 240.19/32.26 % SZS status Theorem for theBenchmark.p
% 240.19/32.26
% 240.19/32.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 240.19/32.26
% 240.19/32.26 ------ iProver source info
% 240.19/32.26
% 240.19/32.26 git: date: 2024-05-02 19:28:25 +0000
% 240.19/32.26 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 240.19/32.26 git: non_committed_changes: false
% 240.19/32.26
% 240.19/32.26 ------ Parsing...
% 240.19/32.26 ------ Clausification by vclausify_rel & Parsing by iProver...
% 240.19/32.26
% 240.19/32.26 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 240.19/32.26
% 240.19/32.26 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 240.19/32.26
% 240.19/32.26 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 240.19/32.26 ------ Proving...
% 240.19/32.26 ------ Problem Properties
% 240.19/32.26
% 240.19/32.26
% 240.19/32.26 clauses 170
% 240.19/32.26 conjectures 2
% 240.19/32.26 EPR 42
% 240.19/32.26 Horn 130
% 240.19/32.26 unary 28
% 240.19/32.26 binary 22
% 240.19/32.26 lits 594
% 240.19/32.26 lits eq 92
% 240.19/32.26 fd_pure 0
% 240.19/32.26 fd_pseudo 0
% 240.19/32.26 fd_cond 10
% 240.19/32.26 fd_pseudo_cond 24
% 240.19/32.26 AC symbols 0
% 240.19/32.26
% 240.19/32.26 ------ Input Options Time Limit: Unbounded
% 240.19/32.26
% 240.19/32.26
% 240.19/32.26 ------
% 240.19/32.26 Current options:
% 240.19/32.26 ------
% 240.19/32.26
% 240.19/32.26
% 240.19/32.26
% 240.19/32.26
% 240.19/32.26 ------ Proving...
% 240.19/32.26
% 240.19/32.26
% 240.19/32.26 ------ Proving...
% 240.19/32.26
% 240.19/32.26
% 240.19/32.26 ------ Proving...
% 240.19/32.26
% 240.19/32.26
% 240.19/32.26 % SZS status Theorem for theBenchmark.p
% 240.19/32.26
% 240.19/32.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 240.19/32.26
% 240.19/32.26
%------------------------------------------------------------------------------