%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM550+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:13:07 AM UTC 2026
% Result : Theorem 14.04s 13.66s
% Output : CNFRefutation 14.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 31 ( 15 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 4 |; 8 &)
% ( 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 : 8 ( 8 usr; 6 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__2202_02,hypothesis,
( xk != sz00
& aSet0(xT)
& aSet0(xS) ) ).
fof(m__2270,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& 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(c130,plain,
xk != sz00,
inference(clausification,[status(esa)],[m__2202_02]) ).
cnf(c159,plain,
aSet0(xQ),
inference(clausification,[status(esa)],[m__2270]) ).
cnf(c162,plain,
sbrdtbr0(xQ) = xk,
inference(clausification,[status(esa)],[m__2270]) ).
cnf(c168,plain,
xQ = slcrc0,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sbrdtbr0(slcrc0) = xk,
inference(demodulation,[status(thm)],[c162,c168]) ).
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(demodulation,[status(thm)],[c159,c168]) ).
cnf(d4,plain,
xk = sz00,
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c130,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM550+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.79 % Computer : n010.cluster.edu
% 0.09/10.79 % Model : x86_64 x86_64
% 0.09/10.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.79 % Memory : 8046.5625MB
% 0.09/10.79 % OS : Linux 6.8.0-71-generic
% 0.09/10.79 % CPULimit : 300
% 0.09/10.79 % WCLimit : 300
% 0.09/10.79 % DateTime : Sat Sep 26 03:12:44 UTC 2026
% 0.09/10.79 % CPUTime :
% 0.09/10.79 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.04/13.66 % SZS status Theorem for theBenchmark.p
% 14.04/13.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------