%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM590+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:20:27 PM UTC 2026
% Result : Theorem 29.54s 19.13s
% Output : Proof 29.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 83 ( 11 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 87 ( 25 ~; 20 |; 36 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,W0))
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f81_nnf,plain,
! [W0] :
( ( isCountable0(sdtlpdtrp0(xN,W0))
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& ! [W1] :
( aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aSet0(sdtlpdtrp0(xN,W0)) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f81]) ).
fof(f81_sk,plain,
! [W0,W1] :
( ( isCountable0(sdtlpdtrp0(xN,W0))
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& ( aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aSet0(sdtlpdtrp0(xN,W0)) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f81_nnf]) ).
cnf(c358,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f81_sk]) ).
fof(f89,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448) ).
fof(f89_nnf,plain,
aElementOf0(xi,szNzAzT0),
inference(nnf_transformation,[status(thm)],[f89]) ).
cnf(c991,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f89_nnf]) ).
cnf(p6454,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c358,c991]) ).
fof(f90,hypothesis,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [W0] :
( aElementOf0(W0,xY)
<=> ( W0 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(W0,sdtlpdtrp0(xN,xi))
& aElement0(W0) ) )
& aSet0(xY)
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448_02) ).
fof(f90_nnf,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [W0] :
( ( W0 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| ~ aElement0(W0)
| aElementOf0(W0,xY) )
& ( ( W0 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(W0,sdtlpdtrp0(xN,xi))
& aElement0(W0) )
| ~ aElementOf0(W0,xY) ) )
& aSet0(xY)
& ! [W0] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0)
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
! [W0] :
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ( W0 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi))
| ~ aElement0(W0)
| aElementOf0(W0,xY) )
& ( ( W0 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(W0,sdtlpdtrp0(xN,xi))
& aElement0(W0) )
| ~ aElementOf0(W0,xY) )
& aSet0(xY)
& ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0)
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c996,plain,
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X0,xY) ),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
fof(f91,conjecture,
( aSubsetOf0(xY,szNzAzT0)
| ! [W0] :
( aElementOf0(W0,xY)
=> aElementOf0(W0,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f91_neg,negated_conjecture,
~ ( aSubsetOf0(xY,szNzAzT0)
| ! [W0] :
( aElementOf0(W0,xY)
=> aElementOf0(W0,szNzAzT0) ) ),
inference(negated_conjecture,[status(cth)],[f91]) ).
fof(f91_nnf,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
& ? [W0] :
( ~ aElementOf0(W0,szNzAzT0)
& aElementOf0(W0,xY) ) ),
inference(nnf_transformation,[status(thm)],[f91_neg]) ).
fof(f91_sk,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
& ~ aElementOf0(sk37,szNzAzT0)
& aElementOf0(sk37,xY) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk37])],[f91_nnf]) ).
cnf(c1001,plain,
aElementOf0(sk37,xY),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
cnf(p5464,plain,
aElementOf0(sk37,sdtlpdtrp0(xN,xi)),
inference(resolution,[status(thm)],[c996,c1001]) ).
cnf(p8811,plain,
aElementOf0(sk37,szNzAzT0),
inference(resolution,[status(thm)],[p6454,p5464]) ).
cnf(c1002,plain,
~ aElementOf0(sk37,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
cnf(p8812,plain,
$false,
inference(resolution,[status(thm)],[p8811,c1002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM590+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.36 % CPULimit : 300
% 0.07/15.36 % WCLimit : 300
% 0.07/15.36 % DateTime : Thu Sep 24 04:48:22 UTC 2026
% 0.07/15.36 % CPUTime :
% 0.07/15.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.54/19.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.54/19.13 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------