%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET144-6 : 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 : 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 03:31:39 PM UTC 2025
% Result : Unsatisfiable 8.85s 1.45s
% Output : CNFRefutation 8.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_commutativity_of_intersection_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
intersection(x,y) != intersection(y,x),
inference(cnf,[status(esa)],[prove_commutativity_of_intersection_1]) ).
cnf(l0,plain,
intersection(x,y) != intersection(y,x),
inference(instantiation,[status(thm)],[112]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l1,plain,
( ~ subclass(intersection(x,y),intersection(y,x))
| ~ subclass(intersection(y,x),intersection(x,y))
| intersection(x,y) = intersection(y,x) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l2,plain,
( subclass(intersection(x,y),intersection(y,x))
| member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l56,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y))
| subclass(intersection(y,x),intersection(x,y)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(15,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
inference(cnf,[status(esa)],[cartesian_product3]) ).
cnf(l25,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x))
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y))
| member(ordered_pair(not_subclass_element(intersection(x,y),intersection(y,x)),not_subclass_element(intersection(x,y),intersection(y,x))),cross_product(intersection(y,x),intersection(x,y))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(13,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(cnf,[status(esa)],[cartesian_product1]) ).
cnf(l86,plain,
( ~ member(ordered_pair(not_subclass_element(intersection(x,y),intersection(y,x)),not_subclass_element(intersection(x,y),intersection(y,x))),cross_product(intersection(y,x),intersection(x,y)))
| member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l90,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x))
| subclass(intersection(x,y),intersection(y,x)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(22,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection3]) ).
cnf(l27,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),y)
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),x)
| member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l57,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
| ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
| member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l28,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(y,x)),y) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(20,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection1]) ).
cnf(l34,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(y,x)),x) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l62,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x))
| member(not_subclass_element(intersection(y,x),intersection(x,y)),y) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l67,plain,
( subclass(intersection(y,x),intersection(x,y))
| member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l59,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x))
| member(not_subclass_element(intersection(y,x),intersection(x,y)),x) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l60,plain,
( subclass(intersection(y,x),intersection(x,y))
| member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l56,l25,l86,l90,l27,l57,l28,l34,l62,l67,l59,l60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET144-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 20:11:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 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: 4
% 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
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 2.40/0.63 % launching worker at depth: 12
% 8.85/1.45 % SZS status Theorem for theBenchmark
% 8.85/1.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------