%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:32:00 AM UTC 2026
% Result : Theorem 21.54s 3.48s
% Output : CNFRefutation 21.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 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 : 9 ( 3 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unordered_pair,axiom,
! [X0,X1] : member('unordered$upair'(X0,X1),'universal$uclass') ).
fof(singleton_set_defn,axiom,
! [X0] : singleton(X0) = 'unordered$upair'(X0,X0) ).
fof(corollary_2_to_singletons_are_sets,conjecture,
! [X0] :
( singleton('member$uof'(X0)) = X0
=> member(X0,'universal$uclass') ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( singleton('member$uof'(X0)) = X0
=> member(X0,'universal$uclass') ),
inference(negate_conjecture,[status(cth)],[corollary_2_to_singletons_are_sets]) ).
cnf(c15,plain,
member('unordered$upair'(X0,X1),'universal$uclass'),
inference(clausification,[status(esa)],[unordered_pair]) ).
cnf(c16,plain,
singleton(X0) = 'unordered$upair'(X0,X0),
inference(clausification,[status(esa)],[singleton_set_defn]) ).
cnf(c93,plain,
singleton('member$uof'(sK94)) = sK94,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c94,plain,
~ member(sK94,'universal$uclass'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
member(singleton(X0),'universal$uclass'),
inference(superposition,[status(thm)],[c16,c15]) ).
cnf(d1,plain,
member(sK94,'universal$uclass'),
inference(superposition,[status(thm)],[c93,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c94,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n026.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sat Sep 26 07:08:41 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.54/3.48 % SZS status Theorem for theBenchmark.p
% 21.54/3.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------