%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN011-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Thu Jul 24 06:32:32 PM UTC 2025
% Result : Unsatisfiable 180.99s 23.01s
% Output : CNFRefutation 180.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(17,plain,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
inference(instantiation,[status(thm)],[17]) ).
cnf(5,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[less_equal_and_equal]) ).
cnf(l1,plain,
( ~ less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))
| ~ less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))
| divide(divide(identity,a),divide(identity,divide(identity,b))) = divide(divide(identity,b),divide(identity,divide(identity,a))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(12,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
inference(cnf,[status(esa)],[property_of_divide1]) ).
cnf(l56,plain,
( ~ less_equal(divide(divide(identity,divide(identity,divide(identity,b))),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(identity,divide(identity,a)))
| less_equal(divide(divide(identity,divide(identity,divide(identity,b))),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l2,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(identity,divide(identity,b)))
| less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(11,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_less_equal]) ).
cnf(l57,plain,
( ~ less_equal(divide(divide(identity,divide(identity,divide(identity,b))),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b))))
| ~ less_equal(divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b))),divide(identity,divide(identity,a)))
| less_equal(divide(divide(identity,divide(identity,divide(identity,b))),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(identity,divide(identity,a))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(15,plain,
divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
inference(cnf,[status(esa)],[one_inversion_equals_three]) ).
cnf(l11,plain,
divide(identity,divide(identity,divide(identity,a))) = divide(identity,a),
inference(instantiation,[status(thm)],[15]) ).
cnf(l48,plain,
( ~ less_equal(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,b)),divide(identity,divide(identity,a))))
| ~ less_equal(divide(divide(identity,divide(identity,b)),divide(identity,divide(identity,a))),divide(identity,divide(identity,b)))
| less_equal(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(identity,divide(identity,b))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l49,plain,
less_equal(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,b)),divide(identity,divide(identity,a)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
less_equal(divide(X0,X1),X0),
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l59,plain,
less_equal(divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b))),divide(identity,divide(identity,a))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l50,plain,
less_equal(divide(divide(identity,divide(identity,b)),divide(identity,divide(identity,a))),divide(identity,divide(identity,b))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l58,plain,
less_equal(divide(divide(identity,divide(identity,divide(identity,b))),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,b)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l13,plain,
divide(identity,divide(identity,divide(identity,b))) = divide(identity,b),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l56,l2,l57,l11,l48,l49,l59,l50,l58,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN011-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 : Sun Jul 20 17:40:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 4.19/0.91 % launching worker at depth: 12
% 180.99/23.01 % SZS status Theorem for theBenchmark
% 180.99/23.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------