%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET001-1 : 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 : n020.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 08:31:30 AM UTC 2026
% Result : Unsatisfiable 10.43s 1.79s
% Output : CNFRefutation 10.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 21 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_equals_bb,hypothesis,
'equal$usets'(b,bb) ).
cnf(element_of_b,hypothesis,
member('element$uof$ub',b) ).
cnf(prove_element_of_bb,negated_conjecture,
~ member('element$uof$ub',bb) ).
cnf(membership_in_subsets,axiom,
( member(X0,X2)
| ~ subset(X1,X2)
| ~ member(X0,X1) ) ).
cnf(set_equal_sets_are_subsets1,axiom,
( subset(X0,X1)
| ~ 'equal$usets'(X0,X1) ) ).
cnf(c0,plain,
'equal$usets'(b,bb),
inference(clausification,[status(esa)],[b_equals_bb]) ).
cnf(c1,plain,
member('element$uof$ub',b),
inference(clausification,[status(esa)],[element_of_b]) ).
cnf(c2,plain,
~ member('element$uof$ub',bb),
inference(clausification,[status(esa)],[prove_element_of_bb]) ).
cnf(c3,plain,
( member(X0,X2)
| ~ subset(X1,X2)
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[membership_in_subsets]) ).
cnf(c6,plain,
( subset(X0,X1)
| ~ 'equal$usets'(X0,X1) ),
inference(clausification,[status(esa)],[set_equal_sets_are_subsets1]) ).
cnf(d0,plain,
subset(b,bb),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d1,plain,
( ~ member(X0,b)
| member(X0,bb) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
member('element$uof$ub',bb),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c2,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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 06:47:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.43/1.79 % SZS status Unsatisfiable for theBenchmark.p
% 10.43/1.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------