%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP004-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 09:52:37 AM UTC 2026
% Result : Unsatisfiable 10.06s 1.69s
% Output : CNFRefutation 10.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lemma_1d_2,negated_conjecture,
'element$uof$ucollection'(X0,'top$uof$ubasis'(f)) ).
cnf(lemma_1d_4,negated_conjecture,
~ 'element$uof$ucollection'('intersection$uof$usets'(X0,X1),'top$uof$ubasis'(f)) ).
cnf(c18,plain,
'element$uof$ucollection'(X0,'top$uof$ubasis'(f)),
inference(clausification,[status(esa)],[lemma_1d_2]) ).
cnf(c20,plain,
~ 'element$uof$ucollection'('intersection$uof$usets'(X0,X1),'top$uof$ubasis'(f)),
inference(clausification,[status(esa)],[lemma_1d_4]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c18,c20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP004-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n018.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sat Sep 26 20:32:11 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.06/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 10.06/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------