%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET911+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:33:32 AM UTC 2026
% Result : Theorem 13.02s 2.30s
% Output : CNFRefutation 13.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 12 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l32_zfmisc_1,axiom,
! [X0,X1] :
( in(X0,X1)
=> 'set$uintersection2'(X1,singleton(X0)) = singleton(X0) ) ).
fof(t52_zfmisc_1,conjecture,
! [X0,X1] :
( in(X0,X1)
=> 'set$uintersection2'(X1,singleton(X0)) = singleton(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> 'set$uintersection2'(X1,singleton(X0)) = singleton(X0) ),
inference(negate_conjecture,[status(cth)],[t52_zfmisc_1]) ).
cnf(c5,plain,
( 'set$uintersection2'(X1,singleton(X0)) = singleton(X0)
| ~ in(X0,X1) ),
inference(clausification,[status(esa)],[l32_zfmisc_1]) ).
cnf(c6,plain,
in(sK10,sK11),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
'set$uintersection2'(sK11,singleton(sK10)) != singleton(sK10),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'set$uintersection2'(sK11,singleton(sK10)) = singleton(sK10),
inference(resolution,[status(thm)],[c5,c6]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c7,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET911+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 08:23:09 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.02/2.30 % SZS status Theorem for theBenchmark.p
% 13.02/2.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------