%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM605+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 : Sun Sep 27 08:13:18 AM UTC 2026
% Result : Theorem 16.41s 4.09s
% Output : CNFRefutation 16.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 29 ( 14 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 4 |; 6 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mCardEmpty,axiom,
! [X0] :
( aSet0(X0)
=> ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ) ).
fof(m__3462,hypothesis,
xK != sz00 ).
fof(m__5078,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ) ).
fof(m__,conjecture,
~ ( xQ = slcrc0
& ~ ? [X0] : aElementOf0(X0,xQ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ( xQ = slcrc0
& ~ ? [X0] : aElementOf0(X0,xQ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c75,plain,
( X0 != slcrc0
| sbrdtbr0(X0) = sz00
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mCardEmpty]) ).
cnf(c223,plain,
xK != sz00,
inference(clausification,[status(esa)],[m__3462]) ).
cnf(c412,plain,
aSet0(xQ),
inference(clausification,[status(esa)],[m__5078]) ).
cnf(c415,plain,
sbrdtbr0(xQ) = xK,
inference(clausification,[status(esa)],[m__5078]) ).
cnf(c418,plain,
xQ = slcrc0,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sbrdtbr0(slcrc0) = xK,
inference(demodulation,[status(thm)],[c415,c418]) ).
cnf(d1,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_resolution,[status(thm)],[c75]) ).
cnf(d2,plain,
( ~ aSet0(slcrc0)
| xK = sz00 ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ aSet0(slcrc0),
inference(resolution,[status(thm)],[c223,d2]) ).
cnf(d4,plain,
aSet0(slcrc0),
inference(demodulation,[status(thm)],[c412,c418]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM605+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 03:25:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.41/4.09 % SZS status Theorem for theBenchmark.p
% 16.41/4.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------