%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET117+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 : 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 08:32:06 AM UTC 2026
% Result : Theorem 19.48s 7.98s
% Output : CNFRefutation 19.48s
% 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 : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 4 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unordered_pair,axiom,
! [X0,X1] : member('unordered$upair'(X0,X1),'universal$uclass') ).
fof(ordered_pair_defn,axiom,
! [X0,X1] : 'ordered$upair'(X0,X1) = 'unordered$upair'(singleton(X0),'unordered$upair'(X0,singleton(X1))) ).
fof(corollary_1_to_ordered_pairs_are_sets,conjecture,
! [X0] :
( 'ordered$upair'(first(X0),second(X0)) = X0
=> member(X0,'universal$uclass') ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( 'ordered$upair'(first(X0),second(X0)) = X0
=> member(X0,'universal$uclass') ),
inference(negate_conjecture,[status(cth)],[corollary_1_to_ordered_pairs_are_sets]) ).
cnf(c11,plain,
member('unordered$upair'(X0,X1),'universal$uclass'),
inference(clausification,[status(esa)],[unordered_pair]) ).
cnf(c13,plain,
'ordered$upair'(X0,X1) = 'unordered$upair'(singleton(X0),'unordered$upair'(X0,singleton(X1))),
inference(clausification,[status(esa)],[ordered_pair_defn]) ).
cnf(c89,plain,
'ordered$upair'(first(sK90),second(sK90)) = sK90,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
~ member(sK90,'universal$uclass'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
member('ordered$upair'(X0,X1),'universal$uclass'),
inference(superposition,[status(thm)],[c13,c11]) ).
cnf(d1,plain,
member(sK90,'universal$uclass'),
inference(superposition,[status(thm)],[c89,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c90,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET117+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.41 % Computer : n014.cluster.edu
% 0.16/5.41 % Model : x86_64 x86_64
% 0.16/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.41 % Memory : 8046.5625MB
% 0.16/5.41 % OS : Linux 6.8.0-71-generic
% 0.16/5.41 % CPULimit : 300
% 0.16/5.41 % WCLimit : 300
% 0.16/5.41 % DateTime : Sat Sep 26 07:09:52 UTC 2026
% 0.16/5.42 % CPUTime :
% 0.16/5.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.48/7.98 % SZS status Theorem for theBenchmark.p
% 19.48/7.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------