%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM532+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 : n014.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 08:13:03 AM UTC 2026
% Result : Theorem 10.30s 1.78s
% Output : CNFRefutation 10.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 1 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 11 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSub,definition,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ) ).
fof(m__467,hypothesis,
aSet0(xA) ).
fof(m__,conjecture,
aSubsetOf0(xA,xA) ).
fof(negated_conjecture,negated_conjecture,
~ aSubsetOf0(xA,xA),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c9,plain,
( aElementOf0(sK14(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mDefSub]) ).
cnf(c10,plain,
( ~ aElementOf0(sK14(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mDefSub]) ).
cnf(c12,plain,
aSet0(xA),
inference(clausification,[status(esa)],[m__467]) ).
cnf(c13,plain,
~ aSubsetOf0(xA,xA),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[c10,c9]) ).
cnf(d1,plain,
~ aSet0(xA),
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c12,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM532+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 : n014.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 03:07:47 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.30/1.78 % SZS status Theorem for theBenchmark.p
% 10.30/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------