%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM549+1 : 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 : n006.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 16.67s 2.57s
% Output : CNFRefutation 16.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 8 unt; 1 def)
% Number of atoms : 56 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 20 ~; 18 |; 7 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mEOfElem,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ) ).
fof(mDefEmp,definition,
! [X0] :
( X0 = slcrc0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ) ).
fof(mCardEmpty,axiom,
! [X0] :
( aSet0(X0)
=> ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ) ).
fof(m__2202_02,hypothesis,
( xk != sz00
& aSet0(xT)
& aSet0(xS) ) ).
fof(m__2291,hypothesis,
( sbrdtbr0(xQ) = xk
& isFinite0(xQ)
& aSet0(xQ) ) ).
fof(m__,conjecture,
? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c0,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mEOfElem]) ).
cnf(c1,plain,
( aSet0(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(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(c135,plain,
aSet0(xQ),
inference(clausification,[status(esa)],[m__2291]) ).
cnf(c137,plain,
sbrdtbr0(xQ) = xk,
inference(clausification,[status(esa)],[m__2291]) ).
cnf(c138,plain,
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElement0(sK7(xQ))
| ~ aSet0(xQ)
| xQ = slcrc0 ),
inference(resolution,[status(thm)],[c3,c138]) ).
cnf(d1,plain,
( ~ aElement0(sK7(xQ))
| xQ = slcrc0 ),
inference(resolution,[status(thm)],[c135,d0]) ).
cnf(d2,plain,
( aElement0(sK7(X0))
| ~ aSet0(X0)
| ~ aSet0(X0)
| X0 = slcrc0 ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d3,plain,
( xQ = slcrc0
| ~ aSet0(xQ)
| xQ = slcrc0 ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
xQ = slcrc0,
inference(resolution,[status(thm)],[c135,d3]) ).
cnf(d5,plain,
sbrdtbr0(slcrc0) = xk,
inference(demodulation,[status(thm)],[c137,d4]) ).
cnf(d6,plain,
( ~ aSet0(slcrc0)
| sbrdtbr0(slcrc0) = sz00 ),
inference(equality_resolution,[status(thm)],[c75]) ).
cnf(d7,plain,
( ~ aSet0(slcrc0)
| xk = sz00 ),
inference(demodulation,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
aSet0(slcrc0),
inference(equality_resolution,[status(thm)],[c1]) ).
cnf(d9,plain,
xk = sz00,
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c130,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM549+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 03:11:11 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.67/2.57 % SZS status Theorem for theBenchmark.p
% 16.67/2.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------