%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM606+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 02:20:30 PM UTC 2026
% Result : Theorem 20.98s 3.51s
% Output : Proof 20.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 66 ( 3 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 59 ( 15 ~; 11 |; 28 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 11 !; 1 ?)
% 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(f100,conjecture,
( aSubsetOf0(xQ,szNzAzT0)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f100_neg,negated_conjecture,
~ ( aSubsetOf0(xQ,szNzAzT0)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) ) ),
inference(negated_conjecture,[status(cth)],[f100]) ).
fof(f100_nnf,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
& ? [W0] :
( ~ aElementOf0(W0,szNzAzT0)
& aElementOf0(W0,xQ) ) ),
inference(nnf_transformation,[status(thm)],[f100_neg]) ).
fof(f100_sk,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
& ~ aElementOf0(sk47,szNzAzT0)
& aElementOf0(sk47,xQ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk47])],[f100_nnf]) ).
cnf(c1062,plain,
aElementOf0(sk47,xQ),
inference(cnf_transformation,[status(esa)],[f100_sk]) ).
cnf(p953,plain,
aElementOf0(sk47,xO),
inference(resolution,[status(thm)],[c1055,c1062]) ).
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(p954,plain,
aElementOf0(sk47,xS),
inference(resolution,[status(thm)],[p953,c1052]) ).
fof(f74,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f74_nnf,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W0,xS) )
& aSet0(xS) ),
inference(nnf_transformation,[status(thm)],[f74]) ).
fof(f74_sk,plain,
! [W0] :
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ( aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W0,xS) )
& aSet0(xS) ),
inference(skolemisation,[status(esa)],[f74_nnf]) ).
cnf(c169,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[status(esa)],[f74_sk]) ).
cnf(p955,plain,
aElementOf0(sk47,szNzAzT0),
inference(resolution,[status(thm)],[p954,c169]) ).
cnf(c1063,plain,
~ aElementOf0(sk47,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f100_sk]) ).
cnf(p956,plain,
$false,
inference(resolution,[status(thm)],[p955,c1063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM606+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 04:52:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.98/3.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.98/3.51 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------