%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET091+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 : n011.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 08:31:59 AM UTC 2026
% Result : Theorem 12.00s 2.00s
% Output : CNFRefutation 12.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 29 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 8 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_universal_self,axiom,
! [X0] :
( 'member$uof'(X0) = X0
| member('member$uof'(X0),'universal$uclass') ) ).
fof(singleton_self,axiom,
! [X0] :
( 'member$uof'(X0) = X0
| singleton('member$uof'(X0)) = X0 ) ).
fof(member_when_not_a_singleton,conjecture,
! [X0,X1] :
( ( X0 = X1
& ~ ? [X2] :
( X0 = singleton(X2)
& member(X2,'universal$uclass') ) )
=> 'member$uof'(X0) = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( X0 = X1
& ~ ? [X2] :
( X0 = singleton(X2)
& member(X2,'universal$uclass') ) )
=> 'member$uof'(X0) = X1 ),
inference(negate_conjecture,[status(cth)],[member_when_not_a_singleton]) ).
cnf(c2,plain,
( 'member$uof'(X0) = X0
| member('member$uof'(X0),'universal$uclass') ),
inference(clausification,[status(esa)],[member_universal_self]) ).
cnf(c3,plain,
( 'member$uof'(X0) = X0
| singleton('member$uof'(X0)) = X0 ),
inference(clausification,[status(esa)],[singleton_self]) ).
cnf(c93,plain,
( sK94 != singleton(X0)
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c94,plain,
sK94 = sK95,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c95,plain,
'member$uof'(sK94) != sK95,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'member$uof'(X0) = X0
| ~ member('member$uof'(X0),'universal$uclass')
| sK94 != X0 ),
inference(superposition,[status(thm)],[c3,c93]) ).
cnf(d1,plain,
( ~ member('member$uof'(sK94),'universal$uclass')
| 'member$uof'(sK94) = sK94 ),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
'member$uof'(sK94) != sK94,
inference(demodulation,[status(thm)],[c95,c94]) ).
cnf(d3,plain,
~ member('member$uof'(sK94),'universal$uclass'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
'member$uof'(sK94) = sK94,
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d2,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET091+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 07:05:43 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.00/2.00 % SZS status Theorem for theBenchmark.p
% 12.00/2.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------