%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN010-6 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 97.72s 12.66s
% Output : CNFRefutation 97.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_property_of_inversion)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(cnf,[status(esa)],[prove_property_of_inversion]) ).
cnf(l0,plain,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(instantiation,[status(thm)],[15]) ).
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(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a))))
| ~ less_equal(divide(divide(identity,a),divide(identity,divide(identity,a))),divide(identity,a))
| divide(identity,a) = divide(divide(identity,a),divide(identity,divide(identity,a))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf,[status(esa)],[quotient_less_equal2]) ).
cnf(l2,plain,
( divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) != zero
| less_equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) ),
inference(instantiation,[status(thm)],[1]) ).
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,a),divide(identity,divide(identity,a))),divide(identity,a)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l3,plain,
( ~ less_equal(divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))),zero)
| ~ less_equal(zero,divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))))
| divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
less_equal(zero,X0),
inference(cnf,[status(esa)],[zero_is_smallest]) ).
cnf(l14,plain,
less_equal(zero,divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(14,plain,
divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
inference(cnf,[status(esa)],[one_inversion_equals_three]) ).
cnf(l30,plain,
divide(identity,divide(identity,divide(identity,a))) = divide(identity,a),
inference(instantiation,[status(thm)],[14]) ).
cnf(9,plain,
divide(X0,X0) = zero,
inference(cnf,[status(esa)],[x_divide_x_is_zero]) ).
cnf(l27,plain,
divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l61,plain,
less_equal(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l59,l3,l14,l30,l27,l61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN010-6 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 17:40:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 2.34/0.63 % launching worker at depth: 12
% 97.72/12.66 % SZS status Theorem for theBenchmark
% 97.72/12.66 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------