%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM565+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 : 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 02:20:23 PM UTC 2026
% Result : Theorem 20.52s 18.53s
% Output : Proof 20.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 59 ( 25 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 65 ( 20 ~; 11 |; 26 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f41_nnf,plain,
! [W0] :
( ( ( W0 != slcrc0
| sbrdtbr0(W0) = sz00 )
& ( W0 = slcrc0
| sbrdtbr0(W0) != sz00 ) )
| ~ aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [W0] :
( ( ( W0 != slcrc0
| sbrdtbr0(W0) = sz00 )
& ( W0 = slcrc0
| sbrdtbr0(W0) != sz00 ) )
| ~ aSet0(W0) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c76,plain,
( X0 = slcrc0
| sbrdtbr0(X0) != sz00
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
fof(f79,conjecture,
! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(W0) = sz00
& aSubsetOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSet0(W0) )
=> ( ( ~ ? [W1] : aElementOf0(W1,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f79_neg,negated_conjecture,
~ ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(W0) = sz00
& aSubsetOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSet0(W0) )
=> ( ( ~ ? [W1] : aElementOf0(W1,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(negated_conjecture,[status(cth)],[f79]) ).
fof(f79_nnf,plain,
? [W0] :
( sdtlpdtrp0(xc,W0) != sdtlpdtrp0(xc,slcrc0)
& ! [W1] : ~ aElementOf0(W1,slcrc0)
& aSet0(slcrc0)
& aElementOf0(W0,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(W0) = sz00
& aSubsetOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,xS)
| ~ aElementOf0(W1,W0) )
& aSet0(W0) ),
inference(nnf_transformation,[status(thm)],[f79_neg]) ).
fof(f79_sk,plain,
! [W1] :
( sdtlpdtrp0(xc,sk29) != sdtlpdtrp0(xc,slcrc0)
& ~ aElementOf0(W1,slcrc0)
& aSet0(slcrc0)
& aElementOf0(sk29,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(sk29) = sz00
& aSubsetOf0(sk29,xS)
& ( aElementOf0(W1,xS)
| ~ aElementOf0(W1,sk29) )
& aSet0(sk29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk29])],[f79_nnf]) ).
cnf(c323,plain,
aSet0(sk29),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(p1013,plain,
( sk29 = slcrc0
| sz00 != sz00 ),
inference(resolution,[status(thm)],[c76,c323]) ).
cnf(p1090,plain,
sk29 = slcrc0,
inference(equality_resolution,[status(thm)],[p1013]) ).
cnf(c330,plain,
sdtlpdtrp0(xc,sk29) != sdtlpdtrp0(xc,slcrc0),
inference(cnf_transformation,[status(esa)],[f79_sk]) ).
cnf(p1091,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0),
inference(demodulation,[status(thm)],[p1090,c330]) ).
cnf(p1125,plain,
$false,
inference(equality_resolution,[status(thm)],[p1091]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM565+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/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
% 0.09/15.30 % CPULimit : 300
% 0.09/15.30 % WCLimit : 300
% 0.09/15.30 % DateTime : Thu Sep 24 04:39:44 UTC 2026
% 0.09/15.31 % CPUTime :
% 0.09/15.31 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.52/18.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.52/18.53 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------