TSTP Solution File: NUM563+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Thu Aug 31 11:31:28 EDT 2023
% Result : Theorem 195.56s 26.85s
% Output : CNFRefutation 195.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 162 ( 23 unt; 0 def)
% Number of atoms : 761 ( 183 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 921 ( 322 ~; 314 |; 234 &)
% ( 14 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 266 ( 0 sgn; 172 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f59,axiom,
! [X0] :
( ( ~ isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> slcrc0 != slbdtsldtrb0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSelNSet) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f78,conjecture,
( sz00 = xK
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f79,negated_conjecture,
~ ( sz00 = xK
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
inference(negated_conjecture,[],[f78]) ).
fof(f87,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xK
& ( aSubsetOf0(X3,xS)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(X3,szDzozmdt0(xc))
=> ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSet0(X3) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f89,plain,
~ ( sz00 = xK
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
inference(rectify,[],[f79]) ).
fof(f91,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f92,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f93,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f92]) ).
fof(f99,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f122,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f123,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f122]) ).
fof(f140,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f164,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f165,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f164]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0) )
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f168]) ).
fof(f189,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f190,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f87]) ).
fof(f191,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(flattening,[],[f190]) ).
fof(f194,plain,
( ! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(ennf_transformation,[],[f89]) ).
fof(f195,plain,
( ! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(flattening,[],[f194]) ).
fof(f207,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ sP8(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f208,plain,
( ! [X0] :
( ! [X1] :
( sP8(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(definition_folding,[],[f195,f207]) ).
fof(f209,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f210,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f210]) ).
fof(f212,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK9(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f211,f212]) ).
fof(f231,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK13(X0)) = X0
& aElementOf0(sK13(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0] :
( ( szszuzczcdt0(sK13(X0)) = X0
& aElementOf0(sK13(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f123,f231]) ).
fof(f235,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f258,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f165]) ).
fof(f259,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f258]) ).
fof(f260,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f259]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK19(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK19(X0,X1,X2),X0)
| ~ aElementOf0(sK19(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK19(X0,X1,X2)) = X1
& aSubsetOf0(sK19(X0,X1,X2),X0) )
| aElementOf0(sK19(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK19(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK19(X0,X1,X2),X0)
| ~ aElementOf0(sK19(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK19(X0,X1,X2)) = X1
& aSubsetOf0(sK19(X0,X1,X2),X0) )
| aElementOf0(sK19(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f260,f261]) ).
fof(f284,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f191]) ).
fof(f285,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(rectify,[],[f284]) ).
fof(f286,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK28(X1)) = X1
& aElementOf0(sK28(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f287,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK29(X4),xS)
& aElementOf0(sK29(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f288,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ( sdtlpdtrp0(xc,sK28(X1)) = X1
& aElementOf0(sK28(X1),szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK29(X4),xS)
& aElementOf0(sK29(X4),X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f285,f287,f286]) ).
fof(f310,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ sP8(X0,X1) ),
inference(nnf_transformation,[],[f207]) ).
fof(f311,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
=> ( sdtlpdtrp0(xc,sK38(X0,X1)) != X0
& aElementOf0(sK38(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK38(X0,X1))
& aSubsetOf0(sK38(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK38(X0,X1)) )
& aSet0(sK38(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0,X1] :
( ( sdtlpdtrp0(xc,sK38(X0,X1)) != X0
& aElementOf0(sK38(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK38(X0,X1))
& aSubsetOf0(sK38(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK38(X0,X1)) )
& aSet0(sK38(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f310,f311]) ).
fof(f313,plain,
( ! [X0] :
( ! [X1] :
( sP8(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(rectify,[],[f208]) ).
fof(f314,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK39(X1),xS)
& aElementOf0(sK39(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
( ! [X0] :
( ! [X1] :
( sP8(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK39(X1),xS)
& aElementOf0(sK39(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& sz00 = xK ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f313,f314]) ).
fof(f317,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f213]) ).
fof(f319,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK9(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f321,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f328,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f363,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f368,plain,
! [X0] :
( szszuzczcdt0(sK13(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f383,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f384,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f416,plain,
! [X2,X0,X1] :
( aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X0,X1] :
( slcrc0 != slbdtsldtrb0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f462,plain,
aSet0(xS),
inference(cnf_transformation,[],[f189]) ).
fof(f463,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f189]) ).
fof(f465,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f189]) ).
fof(f467,plain,
! [X4] :
( aSet0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f288]) ).
fof(f469,plain,
! [X4] :
( aSubsetOf0(X4,xS)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f288]) ).
fof(f470,plain,
! [X4] :
( xK = sbrdtbr0(X4)
| ~ aElementOf0(X4,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f288]) ).
fof(f473,plain,
! [X4] :
( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ~ aSubsetOf0(X4,xS) ),
inference(cnf_transformation,[],[f288]) ).
fof(f474,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f288]) ).
fof(f478,plain,
! [X2,X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f288]) ).
fof(f479,plain,
! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f288]) ).
fof(f512,plain,
! [X0,X1] :
( aSet0(sK38(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f515,plain,
! [X0,X1] :
( xK = sbrdtbr0(sK38(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f517,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK38(X0,X1)) != X0
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f518,plain,
sz00 = xK,
inference(cnf_transformation,[],[f315]) ).
fof(f519,plain,
! [X0,X1] :
( sP8(X0,X1)
| ~ isCountable0(X1)
| aElementOf0(sK39(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f315]) ).
fof(f520,plain,
! [X0,X1] :
( sP8(X0,X1)
| ~ isCountable0(X1)
| ~ aElementOf0(sK39(X1),xS)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f315]) ).
fof(f521,plain,
! [X0,X1] :
( sP8(X0,X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f315]) ).
fof(f522,plain,
aElementOf0(xK,szNzAzT0),
inference(definition_unfolding,[],[f363,f518]) ).
fof(f524,plain,
! [X0] :
( szszuzczcdt0(sK13(X0)) = X0
| xK = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(definition_unfolding,[],[f368,f518]) ).
fof(f528,plain,
! [X0] :
( sbrdtbr0(X0) = xK
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f384,f518]) ).
fof(f529,plain,
! [X0] :
( slcrc0 = X0
| sbrdtbr0(X0) != xK
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f383,f518]) ).
fof(f534,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f317]) ).
fof(f540,plain,
( xK = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f528]) ).
fof(f554,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f416]) ).
fof(f570,plain,
! [X2] :
( aElementOf0(sdtlpdtrp0(xc,X2),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X2,szDzozmdt0(xc)) ),
inference(equality_resolution,[],[f478]) ).
cnf(c_50,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK9(X0),X0) ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_52,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f534]) ).
cnf(c_54,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_61,plain,
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_96,negated_conjecture,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f522]) ).
cnf(c_100,negated_conjecture,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK13(X0)) = X0
| X0 = xK ),
inference(cnf_transformation,[],[f524]) ).
cnf(c_116,negated_conjecture,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = xK ),
inference(cnf_transformation,[],[f540]) ).
cnf(c_117,negated_conjecture,
( sbrdtbr0(X0) != xK
| ~ aSet0(X0)
| X0 = slcrc0 ),
inference(cnf_transformation,[],[f529]) ).
cnf(c_155,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| aSet0(slbdtsldtrb0(X1,X0)) ),
inference(cnf_transformation,[],[f554]) ).
cnf(c_157,plain,
( slbdtsldtrb0(X0,X1) != slcrc0
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| isFinite0(X0) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_195,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f465]) ).
cnf(c_197,plain,
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f463]) ).
cnf(c_198,plain,
aSet0(xS),
inference(cnf_transformation,[],[f462]) ).
cnf(c_200,plain,
( ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f479]) ).
cnf(c_201,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnf_transformation,[],[f570]) ).
cnf(c_205,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnf_transformation,[],[f474]) ).
cnf(c_206,plain,
( sbrdtbr0(X0) != xK
| ~ aSubsetOf0(X0,xS)
| aElementOf0(X0,szDzozmdt0(xc)) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_209,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(X0) = xK ),
inference(cnf_transformation,[],[f470]) ).
cnf(c_210,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) ),
inference(cnf_transformation,[],[f469]) ).
cnf(c_212,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSet0(X0) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_245,plain,
( sdtlpdtrp0(xc,sK38(X0,X1)) != X0
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f517]) ).
cnf(c_247,plain,
( ~ sP8(X0,X1)
| sbrdtbr0(sK38(X0,X1)) = xK ),
inference(cnf_transformation,[],[f515]) ).
cnf(c_250,plain,
( ~ sP8(X0,X1)
| aSet0(sK38(X0,X1)) ),
inference(cnf_transformation,[],[f512]) ).
cnf(c_251,negated_conjecture,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| sP8(X0,X1) ),
inference(cnf_transformation,[],[f521]) ).
cnf(c_252,negated_conjecture,
( ~ aElementOf0(sK39(X0),xS)
| ~ aElementOf0(X1,xT)
| ~ aSet0(X0)
| ~ isCountable0(X0)
| sP8(X1,X0) ),
inference(cnf_transformation,[],[f520]) ).
cnf(c_253,negated_conjecture,
( ~ aElementOf0(X0,xT)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| aElementOf0(sK39(X1),X1)
| sP8(X0,X1) ),
inference(cnf_transformation,[],[f519]) ).
cnf(c_416,negated_conjecture,
sbrdtbr0(slcrc0) = xK,
inference(global_subsumption_just,[status(thm)],[c_116,c_52,c_116]) ).
cnf(c_13425,plain,
( X0 != X1
| ~ aSet0(X1)
| aSet0(X0) ),
theory(equality) ).
cnf(c_16155,plain,
( ~ aElementOf0(X0,xT)
| ~ aSet0(xS)
| ~ isCountable0(xS)
| aElementOf0(sK39(xS),szNzAzT0)
| sP8(X0,xS) ),
inference(superposition,[status(thm)],[c_253,c_197]) ).
cnf(c_16179,plain,
( ~ aElementOf0(X0,xT)
| aElementOf0(sK39(xS),szNzAzT0)
| sP8(X0,xS) ),
inference(global_subsumption_just,[status(thm)],[c_16155,c_198,c_195,c_16155]) ).
cnf(c_16185,plain,
( ~ aElementOf0(X0,xT)
| szszuzczcdt0(sK13(sK39(xS))) = sK39(xS)
| sK39(xS) = xK
| sP8(X0,xS) ),
inference(superposition,[status(thm)],[c_16179,c_100]) ).
cnf(c_16204,plain,
( ~ isFinite0(xS)
| ~ isCountable0(xS) ),
inference(superposition,[status(thm)],[c_198,c_54]) ).
cnf(c_16232,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,xS) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_16233,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS)
| sP8(X0,xS) ),
inference(instantiation,[status(thm)],[c_251]) ).
cnf(c_16260,plain,
( ~ aElementOf0(X0,xT)
| sP8(X0,xS) ),
inference(global_subsumption_just,[status(thm)],[c_16185,c_198,c_195,c_16232,c_16233]) ).
cnf(c_16604,plain,
( ~ aSet0(szDzozmdt0(xc))
| sbrdtbr0(sK9(szDzozmdt0(xc))) = xK
| szDzozmdt0(xc) = slcrc0 ),
inference(superposition,[status(thm)],[c_50,c_209]) ).
cnf(c_16605,plain,
( ~ aSet0(szDzozmdt0(xc))
| szDzozmdt0(xc) = slcrc0
| aSubsetOf0(sK9(szDzozmdt0(xc)),xS) ),
inference(superposition,[status(thm)],[c_50,c_210]) ).
cnf(c_16643,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| aSet0(szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_205,c_155]) ).
cnf(c_17002,plain,
( ~ aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_416,c_206]) ).
cnf(c_18191,plain,
( szDzozmdt0(xc) != slcrc0
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| isFinite0(xS) ),
inference(superposition,[status(thm)],[c_205,c_157]) ).
cnf(c_18391,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSet0(X0)
| X0 = slcrc0 ),
inference(resolution,[status(thm)],[c_209,c_117]) ).
cnf(c_18452,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| X0 = slcrc0 ),
inference(global_subsumption_just,[status(thm)],[c_18391,c_212,c_18391]) ).
cnf(c_18464,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSet0(slcrc0)
| aSet0(X0) ),
inference(resolution,[status(thm)],[c_18452,c_13425]) ).
cnf(c_18595,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSet0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_18464,c_212]) ).
cnf(c_18605,plain,
( ~ aSet0(szDzozmdt0(xc))
| szDzozmdt0(xc) = slcrc0
| aSet0(sK9(szDzozmdt0(xc))) ),
inference(resolution,[status(thm)],[c_18595,c_50]) ).
cnf(c_22235,plain,
( sbrdtbr0(sK9(szDzozmdt0(xc))) != xK
| ~ aSet0(sK9(szDzozmdt0(xc)))
| sK9(szDzozmdt0(xc)) = slcrc0 ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_23860,plain,
aSubsetOf0(sK9(szDzozmdt0(xc)),xS),
inference(global_subsumption_just,[status(thm)],[c_16605,c_198,c_195,c_96,c_16204,c_16605,c_16643,c_18191]) ).
cnf(c_54665,plain,
sbrdtbr0(sK9(szDzozmdt0(xc))) = xK,
inference(global_subsumption_just,[status(thm)],[c_16604,c_198,c_195,c_96,c_16204,c_16604,c_16643,c_18191]) ).
cnf(c_54679,plain,
( ~ aSet0(sK9(szDzozmdt0(xc)))
| sK9(szDzozmdt0(xc)) = slcrc0 ),
inference(superposition,[status(thm)],[c_54665,c_117]) ).
cnf(c_54682,plain,
sK9(szDzozmdt0(xc)) = slcrc0,
inference(global_subsumption_just,[status(thm)],[c_54679,c_198,c_195,c_96,c_16204,c_16604,c_16643,c_18191,c_18605,c_22235]) ).
cnf(c_54688,plain,
aSubsetOf0(slcrc0,xS),
inference(superposition,[status(thm)],[c_54682,c_23860]) ).
cnf(c_167660,plain,
( ~ aElementOf0(X0,xT)
| ~ aElementOf0(X1,xT)
| ~ aSet0(xS)
| ~ isCountable0(xS)
| sP8(X0,xS)
| sP8(X1,xS) ),
inference(superposition,[status(thm)],[c_253,c_252]) ).
cnf(c_167668,plain,
( sP8(X0,xS)
| ~ aElementOf0(X0,xT) ),
inference(global_subsumption_just,[status(thm)],[c_167660,c_16260]) ).
cnf(c_167669,plain,
( ~ aElementOf0(X0,xT)
| sP8(X0,xS) ),
inference(renaming,[status(thm)],[c_167668]) ).
cnf(c_168087,plain,
( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(instantiation,[status(thm)],[c_201]) ).
cnf(c_168415,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(superposition,[status(thm)],[c_201,c_200]) ).
cnf(c_168655,plain,
( ~ aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_416,c_206]) ).
cnf(c_168658,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(global_subsumption_just,[status(thm)],[c_168655,c_17002,c_54688]) ).
cnf(c_169729,plain,
( ~ aElementOf0(sdtlpdtrp0(X0,X1),xT)
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| sP8(sdtlpdtrp0(X0,X1),X2) ),
inference(instantiation,[status(thm)],[c_251]) ).
cnf(c_170157,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sP8(sdtlpdtrp0(xc,X0),xS) ),
inference(superposition,[status(thm)],[c_168415,c_167669]) ).
cnf(c_170204,plain,
( ~ aElementOf0(sdtlpdtrp0(X0,X1),xT)
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS)
| sP8(sdtlpdtrp0(X0,X1),xS) ),
inference(instantiation,[status(thm)],[c_169729]) ).
cnf(c_170400,plain,
( ~ aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sdtlpdtrp0(X0,X1),xT) ),
inference(instantiation,[status(thm)],[c_200]) ).
cnf(c_171093,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sbrdtbr0(sK38(sdtlpdtrp0(xc,X0),xS)) = xK ),
inference(superposition,[status(thm)],[c_170157,c_247]) ).
cnf(c_177280,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(instantiation,[status(thm)],[c_170400]) ).
cnf(c_181661,plain,
sbrdtbr0(sK38(sdtlpdtrp0(xc,slcrc0),xS)) = xK,
inference(superposition,[status(thm)],[c_168658,c_171093]) ).
cnf(c_181799,plain,
( ~ aSet0(sK38(sdtlpdtrp0(xc,slcrc0),xS))
| sK38(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 ),
inference(superposition,[status(thm)],[c_181661,c_117]) ).
cnf(c_181837,plain,
( ~ sP8(sdtlpdtrp0(xc,slcrc0),xS)
| sK38(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 ),
inference(superposition,[status(thm)],[c_250,c_181799]) ).
cnf(c_188126,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS)
| sP8(sdtlpdtrp0(xc,slcrc0),xS) ),
inference(instantiation,[status(thm)],[c_170204]) ).
cnf(c_192602,plain,
sK38(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0,
inference(global_subsumption_just,[status(thm)],[c_181837,c_198,c_195,c_16232,c_17002,c_54688,c_168087,c_177280,c_181837,c_188126]) ).
cnf(c_192606,plain,
~ sP8(sdtlpdtrp0(xc,slcrc0),xS),
inference(superposition,[status(thm)],[c_192602,c_245]) ).
cnf(c_192622,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_192606,c_188126,c_177280,c_168087,c_54688,c_17002,c_16232,c_195,c_198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 13:51:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 195.56/26.85 % SZS status Started for theBenchmark.p
% 195.56/26.85 % SZS status Theorem for theBenchmark.p
% 195.56/26.85
% 195.56/26.85 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 195.56/26.85
% 195.56/26.85 ------ iProver source info
% 195.56/26.85
% 195.56/26.85 git: date: 2023-05-31 18:12:56 +0000
% 195.56/26.85 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 195.56/26.85 git: non_committed_changes: false
% 195.56/26.85 git: last_make_outside_of_git: false
% 195.56/26.85
% 195.56/26.85 ------ Parsing...
% 195.56/26.85 ------ Clausification by vclausify_rel & Parsing by iProver...
% 195.56/26.85
% 195.56/26.85 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 195.56/26.85
% 195.56/26.85 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 195.56/26.85
% 195.56/26.85 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 195.56/26.85 ------ Proving...
% 195.56/26.85 ------ Problem Properties
% 195.56/26.85
% 195.56/26.85
% 195.56/26.85 clauses 170
% 195.56/26.85 conjectures 14
% 195.56/26.85 EPR 37
% 195.56/26.85 Horn 129
% 195.56/26.85 unary 18
% 195.56/26.85 binary 30
% 195.56/26.85 lits 591
% 195.56/26.85 lits eq 84
% 195.56/26.85 fd_pure 0
% 195.56/26.85 fd_pseudo 0
% 195.56/26.85 fd_cond 10
% 195.56/26.85 fd_pseudo_cond 24
% 195.56/26.85 AC symbols 0
% 195.56/26.85
% 195.56/26.85 ------ Input Options Time Limit: Unbounded
% 195.56/26.85
% 195.56/26.85
% 195.56/26.85 ------
% 195.56/26.85 Current options:
% 195.56/26.85 ------
% 195.56/26.85
% 195.56/26.85
% 195.56/26.85
% 195.56/26.85
% 195.56/26.85 ------ Proving...
% 195.56/26.85
% 195.56/26.85
% 195.56/26.85 ------ Proving...
% 195.56/26.85
% 195.56/26.85
% 195.56/26.85 % SZS status Theorem for theBenchmark.p
% 195.56/26.85
% 195.56/26.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 195.56/26.85
% 195.56/26.86
%------------------------------------------------------------------------------