%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET238-6 : 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 : n013.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 24.21s 3.83s
% Output : CNFRefutation 24.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 5 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 22 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_to_restriction_alternate_defn1_1,negated_conjecture,
member(z,restrict(xr,x,y)) ).
cnf(prove_corollary_to_restriction_alternate_defn1_2,negated_conjecture,
~ member('ordered$upair'(first(z),second(z)),restrict(xr,x,y)) ).
cnf(cartesian_product4,axiom,
( 'ordered$upair'(first(X0),second(X0)) = X0
| ~ member(X0,'cross$uproduct'(X1,X2)) ) ).
cnf(intersection2,axiom,
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ) ).
cnf(restriction1,axiom,
intersection(X0,'cross$uproduct'(X1,X2)) = restrict(X0,X1,X2) ).
cnf(c0,plain,
member(z,restrict(xr,x,y)),
inference(clausification,[status(esa)],[prove_corollary_to_restriction_alternate_defn1_1]) ).
cnf(c1,plain,
~ member('ordered$upair'(first(z),second(z)),restrict(xr,x,y)),
inference(clausification,[status(esa)],[prove_corollary_to_restriction_alternate_defn1_2]) ).
cnf(c18,plain,
( 'ordered$upair'(first(X0),second(X0)) = X0
| ~ member(X0,'cross$uproduct'(X1,X2)) ),
inference(clausification,[status(esa)],[cartesian_product4]) ).
cnf(c23,plain,
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(clausification,[status(esa)],[intersection2]) ).
cnf(c29,plain,
intersection(X0,'cross$uproduct'(X1,X2)) = restrict(X0,X1,X2),
inference(clausification,[status(esa)],[restriction1]) ).
cnf(d0,plain,
( member(X3,'cross$uproduct'(X1,X2))
| ~ member(X3,restrict(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c29,c23]) ).
cnf(d1,plain,
member(z,'cross$uproduct'(x,y)),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
'ordered$upair'(first(z),second(z)) = z,
inference(resolution,[status(thm)],[d1,c18]) ).
cnf(d3,plain,
~ member(z,restrict(xr,x,y)),
inference(demodulation,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c0,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET238-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n013.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 07:21:59 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.21/3.83 % SZS status Unsatisfiable for theBenchmark.p
% 24.21/3.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------