%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 16.13s 22.52s
% Output : CNFRefutation 16.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(topology_generated_40,axiom,
( 'element$uof$uset'(f11(X1,X0),X0)
| 'element$uof$ucollection'(X0,'top$uof$ubasis'(X1)) ) ).
cnf(set_theory_6,axiom,
~ 'element$uof$uset'(X0,'empty$uset') ).
cnf(lemma_1b_2,negated_conjecture,
~ 'element$uof$ucollection'('empty$uset','top$uof$ubasis'(f)) ).
cnf(c0,plain,
( 'element$uof$uset'(f11(X1,X0),X0)
| 'element$uof$ucollection'(X0,'top$uof$ubasis'(X1)) ),
inference(clausification,[status(esa)],[topology_generated_40]) ).
cnf(c1,plain,
~ 'element$uof$uset'(X0,'empty$uset'),
inference(clausification,[status(esa)],[set_theory_6]) ).
cnf(c2,plain,
~ 'element$uof$ucollection'('empty$uset','top$uof$ubasis'(f)),
inference(clausification,[status(esa)],[lemma_1b_2]) ).
cnf(d0,plain,
'element$uof$ucollection'('empty$uset','top$uof$ubasis'(X0)),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/20.43 % Computer : n016.cluster.edu
% 0.13/20.43 % Model : x86_64 x86_64
% 0.13/20.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/20.43 % Memory : 8046.5625MB
% 0.13/20.43 % OS : Linux 6.8.0-71-generic
% 0.13/20.43 % CPULimit : 300
% 0.13/20.43 % WCLimit : 300
% 0.13/20.43 % DateTime : Sat Sep 26 20:35:07 UTC 2026
% 0.13/20.43 % CPUTime :
% 0.13/20.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.13/22.52 % SZS status Unsatisfiable for theBenchmark.p
% 16.13/22.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------