%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET086+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 08:31:58 AM UTC 2026
% Result : Theorem 12.61s 1.94s
% Output : CNFRefutation 12.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 22 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 22 ( 10 ~; 6 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 3 con; 0-1 aty)
% Number of variables : 9 ( 2 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_of_substitution,conjecture,
! [X0] :
? [X1] :
( ( X1 = X0
& ~ ? [X2] :
( X0 = singleton(X2)
& member(X2,'universal$uclass') ) )
| ( X0 = singleton(X1)
& member(X1,'universal$uclass') ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
? [X1] :
( ( X1 = X0
& ~ ? [X2] :
( X0 = singleton(X2)
& member(X2,'universal$uclass') ) )
| ( X0 = singleton(X1)
& member(X1,'universal$uclass') ) ),
inference(negate_conjecture,[status(cth)],[member_of_substitution]) ).
cnf(c89,plain,
( sK90 != singleton(X0)
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
( X0 != sK90
| member(sK92,'universal$uclass') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c91,plain,
( X0 != sK90
| sK90 = singleton(sK92) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sK90 = singleton(sK92),
inference(equality_resolution,[status(thm)],[c91]) ).
cnf(d1,plain,
( ~ member(sK92,'universal$uclass')
| sK90 != sK90 ),
inference(superposition,[status(thm)],[d0,c89]) ).
cnf(d2,plain,
member(sK92,'universal$uclass'),
inference(equality_resolution,[status(thm)],[c90]) ).
cnf(d3,plain,
sK90 != sK90,
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET086+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 07:10:27 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.61/1.94 % SZS status Theorem for theBenchmark.p
% 12.61/1.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------