%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET242-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 08:32:22 AM UTC 2026
% Result : Unsatisfiable 26.18s 23.73s
% Output : CNFRefutation 26.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 21 ( 2 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_restriction_alternate_defn5_1,negated_conjecture,
member(z,xr) ).
cnf(prove_restriction_alternate_defn5_2,negated_conjecture,
member(z,'cross$uproduct'(x,y)) ).
cnf(prove_restriction_alternate_defn5_3,negated_conjecture,
~ member(z,restrict(xr,x,y)) ).
cnf(intersection3,axiom,
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ) ).
cnf(restriction1,axiom,
intersection(X0,'cross$uproduct'(X1,X2)) = restrict(X0,X1,X2) ).
cnf(c0,plain,
member(z,xr),
inference(clausification,[status(esa)],[prove_restriction_alternate_defn5_1]) ).
cnf(c1,plain,
member(z,'cross$uproduct'(x,y)),
inference(clausification,[status(esa)],[prove_restriction_alternate_defn5_2]) ).
cnf(c2,plain,
~ member(z,restrict(xr,x,y)),
inference(clausification,[status(esa)],[prove_restriction_alternate_defn5_3]) ).
cnf(c25,plain,
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[intersection3]) ).
cnf(c30,plain,
intersection(X0,'cross$uproduct'(X1,X2)) = restrict(X0,X1,X2),
inference(clausification,[status(esa)],[restriction1]) ).
cnf(d0,plain,
( ~ member(X3,'cross$uproduct'(X1,X2))
| ~ member(X3,X0)
| member(X3,restrict(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c30,c25]) ).
cnf(d1,plain,
( ~ member(z,'cross$uproduct'(x,y))
| ~ member(z,xr) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ member(z,'cross$uproduct'(x,y)),
inference(resolution,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c1,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET242-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.08/20.41 % CPULimit : 300
% 0.08/20.41 % WCLimit : 300
% 0.08/20.41 % DateTime : Sat Sep 26 07:25:15 UTC 2026
% 0.08/20.42 % CPUTime :
% 0.08/20.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.18/23.73 % SZS status Unsatisfiable for theBenchmark.p
% 26.18/23.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------