%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM633+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 02:20:35 PM UTC 2026
% Result : Theorem 24.94s 9.09s
% Output : Proof 24.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 68 ( 15 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 73 ( 25 ~; 14 |; 28 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,conjecture,
( ! [W0] :
( aElementOf0(W0,slbdtsldtrb0(xO,xK))
=> ( sdtlpdtrp0(xc,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xc))
& aSubsetOf0(W0,szNzAzT0)
& W0 != slcrc0 ) )
=> ? [W0] :
( ? [W1] :
( ! [W2] :
( aElementOf0(W2,slbdtsldtrb0(W1,xK))
=> sdtlpdtrp0(xc,W2) = W0 )
& isCountable0(W1)
& aSubsetOf0(W1,xS) )
& aElementOf0(W0,xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f98_neg,negated_conjecture,
~ ( ! [W0] :
( aElementOf0(W0,slbdtsldtrb0(xO,xK))
=> ( sdtlpdtrp0(xc,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xc))
& aSubsetOf0(W0,szNzAzT0)
& W0 != slcrc0 ) )
=> ? [W0] :
( ? [W1] :
( ! [W2] :
( aElementOf0(W2,slbdtsldtrb0(W1,xK))
=> sdtlpdtrp0(xc,W2) = W0 )
& isCountable0(W1)
& aSubsetOf0(W1,xS) )
& aElementOf0(W0,xT) ) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
fof(f98_nnf,plain,
( ! [W0] :
( ! [W1] :
( ? [W2] :
( sdtlpdtrp0(xc,W2) != W0
& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
| ~ isCountable0(W1)
| ~ aSubsetOf0(W1,xS) )
| ~ aElementOf0(W0,xT) )
& ! [W0] :
( ( sdtlpdtrp0(xc,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xc))
& aSubsetOf0(W0,szNzAzT0)
& W0 != slcrc0 )
| ~ aElementOf0(W0,slbdtsldtrb0(xO,xK)) ) ),
inference(nnf_transformation,[status(thm)],[f98_neg]) ).
fof(f98_sk,plain,
! [W0,W1] :
( ( ( sdtlpdtrp0(xc,sk25(W0,W1)) != W0
& aElementOf0(sk25(W0,W1),slbdtsldtrb0(W1,xK)) )
| ~ isCountable0(W1)
| ~ aSubsetOf0(W1,xS)
| ~ aElementOf0(W0,xT) )
& ( ( sdtlpdtrp0(xc,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xc))
& aSubsetOf0(W0,szNzAzT0)
& W0 != slcrc0 )
| ~ aElementOf0(W0,slbdtsldtrb0(xO,xK)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk25])],[f98_nnf]) ).
cnf(c226,plain,
( sdtlpdtrp0(xc,sk25(X0,X1)) != X0
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
fof(f93,hypothesis,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
fof(f93_nnf,plain,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c211,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(p434,plain,
( sdtlpdtrp0(xc,sk25(szDzizrdt0(xd),X0)) != szDzizrdt0(xd)
| ~ isCountable0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(resolution,[status(thm)],[c226,c211]) ).
fof(f97,hypothesis,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
fof(f97_nnf,plain,
aSubsetOf0(xO,xS),
inference(nnf_transformation,[status(thm)],[f97]) ).
cnf(c220,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[status(esa)],[f97_nnf]) ).
cnf(p448,plain,
( szDzizrdt0(xd) != szDzizrdt0(xd)
| ~ isCountable0(xO) ),
inference(resolution,[status(thm)],[p434,c220]) ).
cnf(p449,plain,
~ isCountable0(xO),
inference(equality_resolution,[status(thm)],[p448]) ).
fof(f95,hypothesis,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
fof(f95_nnf,plain,
( isCountable0(xO)
& aSet0(xO) ),
inference(nnf_transformation,[status(thm)],[f95]) ).
fof(f95_sk,plain,
( isCountable0(xO)
& aSet0(xO) ),
inference(skolemisation,[status(esa)],[f95_nnf]) ).
cnf(c216,plain,
isCountable0(xO),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p450,plain,
$false,
inference(resolution,[status(thm)],[p449,c216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM633+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.36 % Computer : n011.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Thu Sep 24 05:01:32 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.94/9.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.94/9.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------