%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HEN010-4 : 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 : 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 : Thu Jul 24 06:32:32 PM UTC 2025
% Result : Unsatisfiable 283.18s 36.00s
% Output : CNFRefutation 283.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_property_of_inversion)
% Comments :
%------------------------------------------------------------------------------
cnf(16,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)],[16]) ).
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(11,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_less_equal]) ).
cnf(l132,plain,
( ~ less_equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(a,zero)))))),divide(identity,divide(identity,divide(identity,divide(identity,a))))),divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(a,zero)))))))
| ~ less_equal(divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(a,zero)))))),divide(identity,divide(a,zero)))
| less_equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(a,zero)))))),divide(identity,divide(identity,divide(identity,divide(identity,a))))),divide(identity,divide(a,zero))) ),
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(l56,plain,
divide(identity,divide(identity,divide(identity,divide(identity,a)))) = divide(identity,divide(identity,a)),
inference(instantiation,[status(thm)],[15]) ).
cnf(2,plain,
less_equal(divide(X0,X1),X0),
inference(cnf,[status(esa)],[quotient_smaller_than_numerator]) ).
cnf(l134,plain,
less_equal(divide(divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(a,zero)))))),divide(identity,divide(identity,divide(identity,divide(identity,a))))),divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(a,zero))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l74,plain,
divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(a,zero)))))) = divide(identity,divide(identity,divide(identity,divide(a,zero)))),
inference(instantiation,[status(thm)],[15]) ).
cnf(10,plain,
divide(a,zero) = a,
inference(cnf,[status(esa)],[x_divide_zero_is_x]) ).
cnf(l76,plain,
divide(a,zero) = a,
inference(instantiation,[status(thm)],[10]) ).
cnf(l62,plain,
divide(identity,divide(identity,divide(identity,divide(a,zero)))) = divide(identity,divide(a,zero)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l35,plain,
divide(identity,divide(identity,divide(identity,a))) = divide(identity,a),
inference(instantiation,[status(thm)],[15]) ).
cnf(l141,plain,
divide(identity,divide(identity,divide(identity,divide(a,zero)))) = divide(identity,divide(a,zero)),
inference(instantiation,[status(thm)],[15]) ).
cnf(l144,plain,
( divide(divide(identity,divide(identity,divide(identity,divide(a,zero)))),divide(identity,divide(identity,divide(identity,divide(a,zero))))) != zero
| less_equal(divide(identity,divide(identity,divide(identity,divide(a,zero)))),divide(identity,divide(identity,divide(identity,divide(a,zero))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
divide(X0,X0) = zero,
inference(cnf,[status(esa)],[x_divide_x_is_zero]) ).
cnf(l148,plain,
divide(divide(identity,divide(identity,divide(identity,divide(a,zero)))),divide(identity,divide(identity,divide(identity,divide(a,zero))))) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(l89,plain,
divide(a,zero) = a,
inference(instantiation,[status(thm)],[10]) ).
cnf(l9,plain,
( ~ less_equal(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))),zero)
| ~ less_equal(zero,divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))))
| divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))) = zero ),
inference(instantiation,[status(thm)],[5]) ).
cnf(3,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf,[status(esa)],[quotient_property]) ).
cnf(l30,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(l26,plain,
divide(divide(identity,divide(identity,a)),divide(identity,divide(identity,a))) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(l44,plain,
less_equal(divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a))))),divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l140,plain,
divide(identity,divide(identity,divide(identity,divide(identity,divide(identity,divide(a,zero)))))) = divide(identity,divide(identity,divide(identity,divide(a,zero)))),
inference(instantiation,[status(thm)],[15]) ).
cnf(l29,plain,
divide(divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a)))),divide(divide(identity,divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,a))))) = zero,
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l132,l56,l134,l74,l76,l62,l35,l141,l144,l148,l89,l9,l30,l26,l44,l140,l29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN010-4 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % 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 : Sun Jul 20 17:39:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 5
% 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
% 2.38/0.63 % launching worker at depth: 12
% 283.18/36.00 % SZS status Theorem for theBenchmark
% 283.18/36.00 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------