%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET024+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 08:31:39 AM UTC 2026
% Result : Theorem 21.23s 15.03s
% Output : CNFRefutation 21.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 21 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 5 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 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 : 13 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unordered_pair_defn,axiom,
! [X0,X1,X2] :
( member(X0,'unordered$upair'(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,'universal$uclass') ) ) ).
fof(singleton_set_defn,axiom,
! [X0] : singleton(X0) = 'unordered$upair'(X0,X0) ).
fof(set_in_its_singleton,conjecture,
! [X0] :
( member(X0,'universal$uclass')
=> member(X0,singleton(X0)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( member(X0,'universal$uclass')
=> member(X0,singleton(X0)) ),
inference(negate_conjecture,[status(cth)],[set_in_its_singleton]) ).
cnf(c9,plain,
( X0 != X1
| ~ member(X0,'universal$uclass')
| member(X0,'unordered$upair'(X1,X2)) ),
inference(clausification,[status(esa)],[unordered_pair_defn]) ).
cnf(c12,plain,
singleton(X0) = 'unordered$upair'(X0,X0),
inference(clausification,[status(esa)],[singleton_set_defn]) ).
cnf(c89,plain,
member(sK90,'universal$uclass'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
~ member(sK90,singleton(sK90)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( member(X0,'unordered$upair'(X0,X1))
| ~ member(X0,'universal$uclass') ),
inference(equality_resolution,[status(thm)],[c9]) ).
cnf(d1,plain,
( ~ member(X0,'universal$uclass')
| member(X0,singleton(X0)) ),
inference(superposition,[status(thm)],[c12,d0]) ).
cnf(d2,plain,
~ member(sK90,'universal$uclass'),
inference(resolution,[status(thm)],[d1,c90]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c89,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET024+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/10.46 % Computer : n006.cluster.edu
% 0.12/10.46 % Model : x86_64 x86_64
% 0.12/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.46 % Memory : 8046.5625MB
% 0.12/10.46 % OS : Linux 6.8.0-71-generic
% 0.12/10.47 % CPULimit : 300
% 0.12/10.47 % WCLimit : 300
% 0.12/10.47 % DateTime : Sat Sep 26 06:53:38 UTC 2026
% 0.12/10.47 % CPUTime :
% 0.12/10.47 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.23/15.03 % SZS status Theorem for theBenchmark.p
% 21.23/15.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------