%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM607+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 : n003.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 27.49s 4.44s
% Output : Proof 27.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 64 ( 3 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 65 ( 18 ~; 14 |; 27 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(f98_nnf,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [W0] :
( aElementOf0(W0,xO)
| ~ aElementOf0(W0,xQ) )
& aSet0(xQ) ),
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
! [W0] :
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ( aElementOf0(W0,xO)
| ~ aElementOf0(W0,xQ) )
& aSet0(xQ) ),
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c1055,plain,
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
fof(f101,conjecture,
( aElementOf0(xQ,szDzozmdt0(xc))
| aSubsetOf0(xQ,xS)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xQ,xS)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f101_neg,negated_conjecture,
~ ( aElementOf0(xQ,szDzozmdt0(xc))
| aSubsetOf0(xQ,xS)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xQ,xS)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) ) ),
inference(negated_conjecture,[status(cth)],[f101]) ).
fof(f101_nnf,plain,
( ~ aElementOf0(xQ,szDzozmdt0(xc))
& ~ aSubsetOf0(xQ,xS)
& ? [W0] :
( ~ aElementOf0(W0,xS)
& aElementOf0(W0,xQ) )
& ~ aSubsetOf0(xQ,xS)
& ? [W0] :
( ~ aElementOf0(W0,xS)
& aElementOf0(W0,xQ) ) ),
inference(nnf_transformation,[status(thm)],[f101_neg]) ).
fof(f101_sk,plain,
( ~ aElementOf0(xQ,szDzozmdt0(xc))
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(sk48,xS)
& aElementOf0(sk48,xQ)
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(sk47,xS)
& aElementOf0(sk47,xQ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk47,sk48])],[f101_nnf]) ).
cnf(c1064,plain,
aElementOf0(sk47,xQ),
inference(cnf_transformation,[status(esa)],[f101_sk]) ).
cnf(p958,plain,
aElementOf0(sk47,xO),
inference(resolution,[status(thm)],[c1055,c1064]) ).
fof(f97,hypothesis,
( aSubsetOf0(xO,xS)
& ! [W0] :
( aElementOf0(W0,xO)
=> aElementOf0(W0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f97_nnf,plain,
( aSubsetOf0(xO,xS)
& ! [W0] :
( aElementOf0(W0,xS)
| ~ aElementOf0(W0,xO) ) ),
inference(nnf_transformation,[status(thm)],[f97]) ).
fof(f97_sk,plain,
! [W0] :
( aSubsetOf0(xO,xS)
& ( aElementOf0(W0,xS)
| ~ aElementOf0(W0,xO) ) ),
inference(skolemisation,[status(esa)],[f97_nnf]) ).
cnf(c1052,plain,
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(esa)],[f97_sk]) ).
cnf(p961,plain,
aElementOf0(sk47,xS),
inference(resolution,[status(thm)],[p958,c1052]) ).
cnf(c1065,plain,
~ aElementOf0(sk47,xS),
inference(cnf_transformation,[status(esa)],[f101_sk]) ).
cnf(p963,plain,
$false,
inference(resolution,[status(thm)],[p961,c1065]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM607+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 04:55:05 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.49/4.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.49/4.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------