%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET072-7 : 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 : n017.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 03:31:24 PM UTC 2025
% Result : Unsatisfiable 51.63s 6.82s
% Output : CNFRefutation 51.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_right_cancellation_1)
% Comments :
%------------------------------------------------------------------------------
cnf(114,plain,
unordered_pair(x,z) = unordered_pair(y,z),
inference(cnf,[status(esa)],[prove_right_cancellation_1]) ).
cnf(l0,plain,
unordered_pair(x,z) = unordered_pair(y,z),
inference(instantiation,[status(thm)],[114]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l61,plain,
( ~ subclass(unordered_pair(z,x),unordered_pair(x,z))
| ~ subclass(unordered_pair(x,z),unordered_pair(z,x))
| unordered_pair(z,x) = unordered_pair(x,z) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
( X0 != X1
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[equal_implies_subclass1]) ).
cnf(l78,plain,
( unordered_pair(x,z) != unordered_pair(z,x)
| subclass(unordered_pair(x,z),unordered_pair(z,x)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(107,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_unordered_pair]) ).
cnf(l82,plain,
unordered_pair(x,z) = unordered_pair(z,x),
inference(instantiation,[status(thm)],[107]) ).
cnf(l98,plain,
unordered_pair(x,z) = unordered_pair(z,x),
inference(instantiation,[status(thm)],[107]) ).
cnf(95,plain,
subclass(X0,X0),
inference(cnf,[status(esa)],[subclass_is_reflexive]) ).
cnf(l84,plain,
subclass(unordered_pair(x,z),unordered_pair(x,z)),
inference(instantiation,[status(thm)],[95]) ).
cnf(113,plain,
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| unordered_pair(X2,X0) != unordered_pair(X2,X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[left_cancellation]) ).
cnf(l49,plain,
( ~ member(ordered_pair(x,y),cross_product(universal_class,universal_class))
| unordered_pair(z,x) != unordered_pair(z,y)
| x = y ),
inference(instantiation,[status(thm)],[113]) ).
cnf(115,plain,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
inference(cnf,[status(esa)],[prove_right_cancellation_2]) ).
cnf(l50,plain,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
inference(instantiation,[status(thm)],[115]) ).
cnf(116,plain,
x != y,
inference(cnf,[status(esa)],[prove_right_cancellation_3]) ).
cnf(l54,plain,
x != y,
inference(instantiation,[status(thm)],[116]) ).
cnf(l25,plain,
unordered_pair(z,y) = unordered_pair(y,z),
inference(instantiation,[status(thm)],[107]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l61,l78,l82,l98,l84,l49,l50,l54,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET072-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 19:40:04 EDT 2025
% 0.12/0.33 % 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: 7
% 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: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.18/0.40 % launching worker at depth: 10
% 7.22/1.25 % launching worker at depth: 11
% 51.63/6.82 % SZS status Theorem for theBenchmark
% 51.63/6.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------