%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET987+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 : n008.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 08:33:41 AM UTC 2026
% Result : Theorem 9.63s 1.64s
% Output : CNFRefutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 1 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t40_xboole_1,axiom,
! [X0,X1] : 'set$udifference'('set$uunion2'(X0,X1),X1) = 'set$udifference'(X0,X1) ).
fof(t65_zfmisc_1,axiom,
! [X0,X1] :
( 'set$udifference'(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ) ).
fof(t141_zfmisc_1,conjecture,
! [X0,X1] :
( ~ in(X0,X1)
=> 'set$udifference'('set$uunion2'(X1,singleton(X0)),singleton(X0)) = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ~ in(X0,X1)
=> 'set$udifference'('set$uunion2'(X1,singleton(X0)),singleton(X0)) = X1 ),
inference(negate_conjecture,[status(cth)],[t141_zfmisc_1]) ).
cnf(c7,plain,
'set$udifference'('set$uunion2'(X0,X1),X1) = 'set$udifference'(X0,X1),
inference(clausification,[status(esa)],[t40_xboole_1]) ).
cnf(c9,plain,
( in(X1,X0)
| 'set$udifference'(X0,singleton(X1)) = X0 ),
inference(clausification,[status(esa)],[t65_zfmisc_1]) ).
cnf(c10,plain,
~ in(sK16,sK17),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
'set$udifference'('set$uunion2'(sK17,singleton(sK16)),singleton(sK16)) != sK17,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'set$udifference'(sK17,singleton(sK16)) = sK17,
inference(resolution,[status(thm)],[c9,c10]) ).
cnf(d1,plain,
'set$udifference'(sK17,singleton(sK16)) != sK17,
inference(demodulation,[status(thm)],[c11,c7]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET987+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.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 08:29:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.63/1.64 % SZS status Theorem for theBenchmark.p
% 9.63/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------