%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET241-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 9.22s 1.52s
% Output : CNFRefutation 9.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_restriction_alternate_defn4_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
member(ordered_pair(u,v),restrict(xr,x,y)),
inference(cnf,[status(esa)],[prove_restriction_alternate_defn4_1]) ).
cnf(l0,plain,
member(ordered_pair(u,v),restrict(xr,x,y)),
inference(instantiation,[status(thm)],[112]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l24,plain,
( ~ subclass(restrict(xr,x,y),intersection(xr,cross_product(x,y)))
| ~ subclass(intersection(xr,cross_product(x,y)),restrict(xr,x,y))
| restrict(xr,x,y) = intersection(xr,cross_product(x,y)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
( X0 != X1
| subclass(X1,X0) ),
inference(cnf,[status(esa)],[equal_implies_subclass2]) ).
cnf(l25,plain,
( intersection(xr,cross_product(x,y)) != restrict(xr,x,y)
| subclass(restrict(xr,x,y),intersection(xr,cross_product(x,y))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(27,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
inference(cnf,[status(esa)],[restriction1]) ).
cnf(l26,plain,
intersection(xr,cross_product(x,y)) = restrict(xr,x,y),
inference(instantiation,[status(thm)],[27]) ).
cnf(4,plain,
( X0 != X1
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[equal_implies_subclass1]) ).
cnf(l33,plain,
( intersection(xr,cross_product(x,y)) != restrict(xr,x,y)
| subclass(intersection(xr,cross_product(x,y)),restrict(xr,x,y)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l51,plain,
( ~ member(ordered_pair(u,v),intersection(xr,cross_product(x,y)))
| member(ordered_pair(u,v),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l35,plain,
intersection(xr,cross_product(x,y)) = restrict(xr,x,y),
inference(instantiation,[status(thm)],[27]) ).
cnf(14,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(cnf,[status(esa)],[cartesian_product2]) ).
cnf(l52,plain,
( ~ member(ordered_pair(u,v),cross_product(x,y))
| member(v,y) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(113,plain,
~ member(v,y),
inference(cnf,[status(esa)],[prove_restriction_alternate_defn4_2]) ).
cnf(l54,plain,
~ member(v,y),
inference(instantiation,[status(thm)],[113]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l24,l25,l26,l33,l51,l35,l52,l54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET241-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.13/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 20:33:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.20/0.58 % launching worker at depth: 11
% 9.22/1.52 % SZS status Theorem for theBenchmark
% 9.22/1.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------