%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET075-7 : 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 03:31:25 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary_to_unordered_pair_axiom3_1)
% Comments :
%------------------------------------------------------------------------------
cnf(115,plain,
member(ordered_pair(x,y),cross_product(u,v)),
inference(cnf,[status(esa)],[prove_corollary_to_unordered_pair_axiom3_1]) ).
cnf(l0,plain,
member(ordered_pair(x,y),cross_product(u,v)),
inference(instantiation,[status(thm)],[115]) ).
cnf(13,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(cnf,[status(esa)],[cartesian_product1]) ).
cnf(l1,plain,
( ~ member(ordered_pair(x,y),cross_product(u,v))
| member(x,u) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(22,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection3]) ).
cnf(l2,plain,
( ~ member(x,null_class)
| ~ member(x,u)
| member(x,intersection(null_class,u)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(20,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection1]) ).
cnf(l3,plain,
( ~ member(x,intersection(null_class,u))
| member(x,null_class) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(102,plain,
~ member(X0,null_class),
inference(cnf,[status(esa)],[existence_of_null_class]) ).
cnf(l4,plain,
~ member(x,null_class),
inference(instantiation,[status(thm)],[102]) ).
cnf(91,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf,[status(esa)],[corollary_1_to_unordered_pair]) ).
cnf(l9,plain,
( ~ member(ordered_pair(x,y),cross_product(u,v))
| member(x,unordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[91]) ).
cnf(116,plain,
unordered_pair(x,y) = null_class,
inference(cnf,[status(esa)],[prove_corollary_to_unordered_pair_axiom3_2]) ).
cnf(l11,plain,
unordered_pair(x,y) = null_class,
inference(instantiation,[status(thm)],[116]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l9,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET075-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 19:43:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------