%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET108+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 08:32:04 AM UTC 2026
% Result : Theorem 13.63s 2.20s
% Output : CNFRefutation 13.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 44 ( 24 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 49 ( 21 ~; 16 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 9 sgn 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(existence_of_first_and_second,conjecture,
! [X0] :
? [X1,X2] :
( ( X2 = X0
& X1 = X0
& ~ ? [X3,X4] :
( X0 = 'ordered$upair'(X3,X4)
& member(X4,'universal$uclass')
& member(X3,'universal$uclass') ) )
| ( X0 = 'ordered$upair'(X1,X2)
& member(X2,'universal$uclass')
& member(X1,'universal$uclass') ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
? [X1,X2] :
( ( X2 = X0
& X1 = X0
& ~ ? [X3,X4] :
( X0 = 'ordered$upair'(X3,X4)
& member(X4,'universal$uclass')
& member(X3,'universal$uclass') ) )
| ( X0 = 'ordered$upair'(X1,X2)
& member(X2,'universal$uclass')
& member(X1,'universal$uclass') ) ),
inference(negate_conjecture,[status(cth)],[existence_of_first_and_second]) ).
cnf(c89,plain,
( sK90 != 'ordered$upair'(X0,X1)
| ~ member(X1,'universal$uclass')
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
( X1 != sK90
| X0 != sK90
| member(sK93,'universal$uclass') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c91,plain,
( X1 != sK90
| X0 != sK90
| member(sK94,'universal$uclass') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c92,plain,
( X1 != sK90
| X0 != sK90
| sK90 = 'ordered$upair'(sK93,sK94) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sK90 = 'ordered$upair'(sK93,sK94)
| X0 != sK90 ),
inference(equality_resolution,[status(thm)],[c92]) ).
cnf(d1,plain,
sK90 = 'ordered$upair'(sK93,sK94),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
( ~ member(sK94,'universal$uclass')
| ~ member(sK93,'universal$uclass')
| sK90 != sK90 ),
inference(superposition,[status(thm)],[d1,c89]) ).
cnf(d3,plain,
( member(sK93,'universal$uclass')
| X0 != sK90 ),
inference(equality_resolution,[status(thm)],[c90]) ).
cnf(d4,plain,
member(sK93,'universal$uclass'),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( ~ member(sK94,'universal$uclass')
| sK90 != sK90 ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( member(sK94,'universal$uclass')
| X0 != sK90 ),
inference(equality_resolution,[status(thm)],[c91]) ).
cnf(d7,plain,
member(sK94,'universal$uclass'),
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
sK90 != sK90,
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET108+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.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 07:08:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.63/2.20 % SZS status Theorem for theBenchmark.p
% 13.63/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------