%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM604+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 02:20:30 PM UTC 2026
% Result : Theorem 17.40s 2.92s
% Output : Proof 17.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 49 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 41 ( 12 ~; 8 |; 18 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
& aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f90_nnf,plain,
( ! [W0] :
( ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( sdtlseqdt0(sdtlpdtrp0(xe,W0),W1)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0)) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
! [W0,W1] :
( ( ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0))
& ( sdtlseqdt0(sdtlpdtrp0(xe,W0),W1)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0)) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c1013,plain,
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
fof(f98,hypothesis,
( sdtlpdtrp0(xe,xi) = xx
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).
fof(f98_nnf,plain,
( sdtlpdtrp0(xe,xi) = xx
& aElementOf0(xi,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
( sdtlpdtrp0(xe,xi) = xx
& aElementOf0(xi,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c1055,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
cnf(p3889,plain,
aElementOf0(xx,sdtlpdtrp0(xN,xi)),
inference(resolution,[status(thm)],[c1013,c1055]) ).
fof(f99,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5045) ).
fof(f99_nnf,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ! [W0] :
( aElementOf0(W0,xS)
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi)) ) ),
inference(nnf_transformation,[status(thm)],[f99]) ).
fof(f99_sk,plain,
! [W0] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ( aElementOf0(W0,xS)
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi)) ) ),
inference(skolemisation,[status(esa)],[f99_nnf]) ).
cnf(c1057,plain,
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[status(esa)],[f99_sk]) ).
cnf(p3943,plain,
aElementOf0(xx,xS),
inference(resolution,[status(thm)],[p3889,c1057]) ).
fof(f100,conjecture,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f100_neg,negated_conjecture,
~ aElementOf0(xx,xS),
inference(negated_conjecture,[status(cth)],[f100]) ).
fof(f100_nnf,plain,
~ aElementOf0(xx,xS),
inference(nnf_transformation,[status(thm)],[f100_neg]) ).
fof(f100_sk,plain,
~ aElementOf0(xx,xS),
inference(skolemisation,[status(esa)],[f100_nnf]) ).
cnf(c1059,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[status(esa)],[f100_sk]) ).
cnf(p3945,plain,
$false,
inference(resolution,[status(thm)],[p3943,c1059]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM604+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 04:55:40 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.40/2.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.40/2.92 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------