%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM548+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 : n015.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 13.33s 2.33s
% Output : CNFRefutation 13.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 5 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mCardNum,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ) ).
fof(m__2202,hypothesis,
aElementOf0(xk,szNzAzT0) ).
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,
isFinite0(xQ) ).
fof(negated_conjecture,negated_conjecture,
~ isFinite0(xQ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c72,plain,
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mCardNum]) ).
cnf(c127,plain,
aElementOf0(xk,szNzAzT0),
inference(clausification,[status(esa)],[m__2202]) ).
cnf(c159,plain,
aSet0(xQ),
inference(clausification,[status(esa)],[m__2270]) ).
cnf(c162,plain,
sbrdtbr0(xQ) = xk,
inference(clausification,[status(esa)],[m__2270]) ).
cnf(c164,plain,
~ isFinite0(xQ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[status(thm)],[c162,c72]) ).
cnf(d1,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[c164,d0]) ).
cnf(d2,plain,
~ aElementOf0(xk,szNzAzT0),
inference(resolution,[status(thm)],[c159,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c127,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM548+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
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 03:14:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.33/2.33 % SZS status Theorem for theBenchmark.p
% 13.33/2.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------