%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET242-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:31:51 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_restriction_alternate_defn5_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
member(z,xr),
inference(cnf,[status(esa)],[prove_restriction_alternate_defn5_1]) ).
cnf(l0,plain,
member(z,xr),
inference(instantiation,[status(thm)],[112]) ).
cnf(22,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection3]) ).
cnf(l1,plain,
( ~ member(z,cross_product(x,y))
| ~ member(z,xr)
| member(z,intersection(cross_product(x,y),xr)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(28,plain,
intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf,[status(esa)],[restriction2]) ).
cnf(l4,plain,
intersection(cross_product(x,y),xr) = restrict(xr,x,y),
inference(instantiation,[status(thm)],[28]) ).
cnf(113,plain,
member(z,cross_product(x,y)),
inference(cnf,[status(esa)],[prove_restriction_alternate_defn5_2]) ).
cnf(l7,plain,
member(z,cross_product(x,y)),
inference(instantiation,[status(thm)],[113]) ).
cnf(114,plain,
~ member(z,restrict(xr,x,y)),
inference(cnf,[status(esa)],[prove_restriction_alternate_defn5_3]) ).
cnf(l6,plain,
~ member(z,restrict(xr,x,y)),
inference(instantiation,[status(thm)],[114]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l7,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET242-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.02/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n025.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 20:33:19 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.13/0.31 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------