%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET479-6 : 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 : n027.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 03:32:08 PM UTC 2025
% Result : Unsatisfiable 9.52s 1.60s
% Output : CNFRefutation 9.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_replacement_property1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
member(x,universal_class),
inference(cnf,[status(esa)],[prove_replacement_property1_1]) ).
cnf(l0,plain,
member(x,universal_class),
inference(instantiation,[status(thm)],[112]) ).
cnf(99,plain,
( ~ member(X0,universal_class)
| member(ordered_pair(X0,domain_of(X0)),domain_relation) ),
inference(cnf,[status(esa)],[definition_of_domain_relation3]) ).
cnf(l1,plain,
( ~ member(x,universal_class)
| member(ordered_pair(x,domain_of(x)),domain_relation) ),
inference(instantiation,[status(thm)],[99]) ).
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(l2,plain,
( ~ member(ordered_pair(x,domain_of(x)),domain_relation)
| ~ member(domain_of(x),universal_class)
| member(ordered_pair(ordered_pair(x,domain_of(x)),domain_of(x)),cross_product(domain_relation,universal_class)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l5,plain,
( ~ member(ordered_pair(ordered_pair(x,domain_of(x)),domain_of(x)),cross_product(domain_relation,universal_class))
| ~ member(domain_of(x),universal_class)
| member(ordered_pair(ordered_pair(ordered_pair(x,domain_of(x)),domain_of(x)),domain_of(x)),cross_product(cross_product(domain_relation,universal_class),universal_class)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(14,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(cnf,[status(esa)],[cartesian_product2]) ).
cnf(l10,plain,
( ~ member(ordered_pair(ordered_pair(ordered_pair(x,domain_of(x)),domain_of(x)),domain_of(x)),cross_product(cross_product(domain_relation,universal_class),universal_class))
| member(domain_of(x),universal_class) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(113,plain,
~ member(domain_of(x),universal_class),
inference(cnf,[status(esa)],[prove_replacement_property1_2]) ).
cnf(l17,plain,
~ member(domain_of(x),universal_class),
inference(instantiation,[status(thm)],[113]) ).
cnf(l19,plain,
( ~ member(ordered_pair(ordered_pair(x,domain_of(x)),domain_of(x)),cross_product(domain_relation,universal_class))
| member(domain_of(x),universal_class) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l3,plain,
( ~ member(ordered_pair(x,domain_of(x)),cross_product(universal_class,universal_class))
| member(domain_of(x),universal_class) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l11,plain,
( ~ subclass(domain_relation,cross_product(universal_class,universal_class))
| ~ member(ordered_pair(x,domain_of(x)),domain_relation)
| member(ordered_pair(x,domain_of(x)),cross_product(universal_class,universal_class)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(97,plain,
subclass(domain_relation,cross_product(universal_class,universal_class)),
inference(cnf,[status(esa)],[definition_of_domain_relation1]) ).
cnf(l25,plain,
subclass(domain_relation,cross_product(universal_class,universal_class)),
inference(instantiation,[status(thm)],[97]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l10,l17,l19,l3,l11,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET479-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 21:37:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 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: 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
% 0.12/0.36 % launching worker at depth: 10
% 2.14/0.61 % launching worker at depth: 11
% 9.52/1.60 % SZS status Theorem for theBenchmark
% 9.52/1.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------