%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM547+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 08:13:06 AM UTC 2026
% Result : Theorem 18.81s 4.50s
% Output : CNFRefutation 18.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 1 def)
% Number of atoms : 72 ( 14 equ)
% Maximal formula atoms : 43 ( 5 avg)
% Number of connectives : 68 ( 10 ~; 12 |; 29 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 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 : 22 ( 3 sgn 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefEmp,definition,
! [X0] :
( X0 = slcrc0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ) ).
fof(m__2227,hypothesis,
( ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> ( slbdtsldtrb0(xS,xk) = slcrc0
| ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xT)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xT)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSet0(X0) ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aSet0(slbdtsldtrb0(xS,xk)) ) ).
fof(m__,conjecture,
? [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c2,plain,
( ~ aElementOf0(X1,X0)
| X0 != slcrc0 ),
inference(clausification,[status(esa)],[mDefEmp]) ).
cnf(c3,plain,
( aElementOf0(sK7(X0),X0)
| ~ aSet0(X0)
| X0 = slcrc0 ),
inference(clausification,[status(esa)],[mDefEmp]) ).
cnf(c131,plain,
aSet0(slbdtsldtrb0(xS,xk)),
inference(clausification,[status(esa)],[m__2227]) ).
cnf(c156,plain,
aElementOf0(sK128,slbdtsldtrb0(xS,xk)),
inference(clausification,[status(esa)],[m__2227]) ).
cnf(c162,plain,
~ aElementOf0(X0,slbdtsldtrb0(xS,xk)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aSet0(slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ),
inference(resolution,[status(thm)],[c3,c162]) ).
cnf(d1,plain,
slbdtsldtrb0(xS,xk) = slcrc0,
inference(resolution,[status(thm)],[c131,d0]) ).
cnf(d2,plain,
aElementOf0(sK128,slcrc0),
inference(demodulation,[status(thm)],[c156,d1]) ).
cnf(d3,plain,
~ aElementOf0(X0,slcrc0),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM547+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:11:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.81/4.50 % SZS status Theorem for theBenchmark.p
% 18.81/4.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------